Answer:
A, D and E
Step-by-step explanation:
Option B is an inequality while Option C is an Equation. However, Rest of the options are expressions because they don't have any equality (=) sign or any inequality (<,>,≥,≤). So, they are expressions.
Find the value of x in the triangle shown below.
Answer:
The valueof x is root under 41.
Hope this helps.
Find the area of the shaded polygons:
Answer:
10
4
Step-by-step explanation:
Purple: This makes two trapezoids. A=(a+b)/2 times h
1st = (4+1)/2 x 1 = 2.5
2nd = (4+1)/2 x 3 = 5/2 x 3 = 2.5x3=7.5
Total = 2.5+7.5=10
Green: if you draw a line down the center, you can divide these into two more manageable triangles. A=1/2bh
1st = 1/2x2x2 = 2
2nd = 1/2x2x2 = 2
Total = 2+2=4
Answer:
Purple : 10 sq. un
Green : 4 sq. un
Step-by-step explanation:
good morning! got a question
Answer:
B and E
Step-by-step explanation:
For every 3 minutes she spend running, she spends 5 minutes lifting weight so that would be [tex]\frac{3}{5}[/tex] as fraction.
The answer is B because [tex]\frac{15}{25}[/tex] is equivalent to [tex]\frac{3}{5}[/tex]. [tex]\frac{3}{5}[/tex]*[tex]\frac{5}{5}[/tex]=[tex]\frac{15}{25}[/tex]The answer is E because [tex]\frac{30}{50}[/tex] is equivalant to [tex]\frac{3}{5}[/tex]. [tex]\frac{3}{5}[/tex]*[tex]\frac{10}{10}[/tex]=[tex]\frac{30}{50}[/tex]So, therefore, the answers are B and E.
If you're good at bearings pls help meeee with question fourteen and show full working out tyy ;)
Let
A = location of buoy 1
B = location of buoy 2
C = location of buoy 3
True north is 0 degrees on a compass bearing. Turning to 135 degrees means you turn to the south east direction exactly. Then we can break the angle down as shown in the diagram below. We have the angles 90+45+45 = 180 along the right side of location A.
Due to the fact we have parallel lines, specifically the north/south parallel lines going through A and B, we know that the green angles in the diagram are congruent. Both of which are 45 degrees. The purple angle of 45 degrees is to indicate turning to the bearing 045 degrees when you get to location B.
The green and purple angles add to 45+45 = 90, so angle ABC is 90 degrees. Triangle ABC is a right triangle.
We can use the tangent ratio to compute the angle ACB which will help us find the bearing from location 3 to location 1.
tan(angle) = opposite/adjacent
tan(C) = AB/BC
tan(C) = 4.2/2.8
C = arctan(4.2/2.8)
C = 56.3099324740202
Make sure your calculator is in degree mode
This is angle ACB. It combines with the purple angle of 45 degrees that is adjacent to point C. So we have 45+56.3099324740202 = 101.30993247402
Then this adds to 180 as this is the measure of the red arc near point C.
So, 101.30993247402+180 = 281.30993247402
The bearing is approximately 281.30993247402 degrees
Round this however you need to.
Please help me with geometry questions :((
Answer:
[tex]14.\:\:\overline{RT}=3.3\:ft[/tex]
Step-by-step explanation:
Using the definition of similar triangle, we have the equation for problem no. 14 as:
[tex]\frac{\overline{QT}}{\overline{RT}}=\frac{\overline{RT}}{\overline{TS}}\\\\\frac{5}{x}=\frac{x}{2.2}\\\\\Rightarrow x=3.3[/tex]
Best Regards!
Triangle RST was dilated with the origin as the center of dilation to create triangle R'S'T'. The triangle was dilated using a scale factor of 34. The lengths of the sides of triangle RST are given. Enter the lengths of the sides of triangle R'S'T' below. (Decimal values may be used.) (yo idc about who answers it first, just get it right and I'll mark brainliest
Answer:
[tex]R' = 6[/tex]
[tex]S' = 7.5[/tex]
[tex]T' = 9[/tex]
Step-by-step explanation:
The question is incomplete; however the sides of the triangle are;
[tex]R = 8[/tex]
[tex]S = 10[/tex]
[tex]T = 12[/tex]
[tex]Scale\ Factor = \frac{3}{4}[/tex]
Required
Determine the sides of R'S'T'
The new sides of the triangle is calculated as thus;
[tex]New\ Side = Old\ Side * Scale\ Factor[/tex]
Calculating R'
[tex]R' = R * Scale Factor[/tex]
Substitute 8 for R and 3/4 for Scale Factor
[tex]R' = 8 * \frac{3}{4}[/tex]
[tex]R' = \frac{24}{4}[/tex]
[tex]R' = 6[/tex]
Calculating S'
[tex]S' = S * Scale Factor[/tex]
Substitute 8 for R and 3/4 for Scale Factor
[tex]S' = 10 * \frac{3}{4}[/tex]
[tex]S' = \frac{30}{4}[/tex]
[tex]S' = 7.5[/tex]
Calculating T'
[tex]T' = T * Scale Factor[/tex]
Substitute 8 for R and 3/4 for Scale Factor
[tex]T' = 12 * \frac{3}{4}[/tex]
[tex]T' = \frac{36}{4}[/tex]
[tex]T' = 9[/tex]
Triangle RST was dilated with the origin as the center of the dilation to create triangle R'S'T'. The triangle was dilated using a scale factor of 34. The lengths of the sides of the triangle RST are given. Enter the lengths of the sides of the triangle R'S'T' below.
Answer:
6
7.5
9
15 POINTS!!!!!!!!!!
Given f(x) and g(x) = f(x) + k, use the graph to determine the value of k. "Graph of f of x and g of x. f of x equals 1 over 3 x minus 3 and g of x equals 1 over 3 x plus 1. "
a.) 2
b.) 3
c.) 4
d.) 5
Answer: B.
k=3
Step-by-step explanation:
g(x) is 3 units higher than f(x)
so k must be equal to 3
Answer:
it is b i think
k=3
Step-by-step explanation:
Miss White wants to buy 5 value meals at Mel’s Diner.
What is the reasonable total for her purchase?
A. $25
B. $1,000
C. $100
D. $10
Need answer ASAP
Answer: A
Step-by-step explanation:
Divide each total by 5 to get 5, 200, 20, 2.50. $5 per value meal is the most fair price.
Hope it helps <3
If the total is 25$, then each value meal would equal 25/5 = 5$, which is reasonable. so option A is correct.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
A. If the total is 25$, then each value meal would equal 25/5 = 5$, which is reasonable.
B. If the total is $1000, then each meal would equal 1000/5 = $200, which is not reasonable
C. If the total is $100, then each meal would equal 100/5 = $20, which is not a reasonable price for a value meal
D. If the total is $10, then each meal would equal 10/5 = $2 which is not a reasonable price for a value meal.
Hence, If the total is 25$, then each value meal would equal 25/5 = 5$, which is reasonable. so option A is correct.
Learn more about the unitary method;
https://brainly.com/question/23423168
#SPJ5
Write the first four terms in the following sequences. A(n+1)=A(n)−5 for n≥1 and A(1)=9 .
Answer:
Step-by-step explanation:
A(1) = 9
A(n+1) = A(n) - 5
n = 1 ; A(1+1) = A(1) - 5
A(2) = 9 - 5
A(2) = 4
n = 2 ; A(2+1) = A(2) - 5
A(3) = 4 - 5
A(3) = 1
n = 3 ; A(3+1) = A(3) - 5
A(4) = 1 - 5
A(4) = -4
n = 4 ; A(4+1) = A(4) - 5
A(5) = -4 - 5
A(5) = -9
First four terms are: 9 , 4 , 1 , -4 , - 9
Yolanda's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Yolanda $5.20 per pound, and type B coffee costs $4.05 per
pound. This month, Yolanda made 130 pounds of the blend, for a total cost of $586.30. How many pounds of type B coffee did she use?
Answer:
78 pounds
Step-by-step explanation:
Let's say Yolanda makes a pounds of Type A coffee and b pounds of Type B coffee. Since the total number of pounds is 130, we can write the equation:
a + b = 130
We know the cost of Type A coffee is $5.20/lb and the cost of Type B coffee is $4.05/lb, so since the total cost is $586.30, we can write:
5.20a + 4.05b = 586.30
We can now solve the system of equations:
a + b = 130
5.20a + 4.05b = 586.30
Manipulate the first equation by subtracting b from both sides:
a + b = 130
a = 130 - b
Substitute 130 - b for a in the second equation:
5.20a + 4.05b = 586.30
5.20 * (130 - b) + 4.05b = 586.30
676 - 5.20b + 4.05b = 586.30
Move the terms with b to one side:
1.15b = 89.70
b = 78
Thus, Yolanda used 78 pounds of Type B coffee.
~ an aesthetics lover
A quadrilateral has vertices at $(0,1)$, $(3,4)$, $(4,3)$ and $(3,0)$. Its perimeter can be expressed in the form $a\sqrt2+b\sqrt{10}$ with $a$ and $b$ integers. What is the sum of $a$ and $b$?
Answer:
a + b = 12
Step-by-step explanation:
Given
Quadrilateral;
Vertices of (0,1), (3,4) (4,3) and (3,0)
[tex]Perimeter = a\sqrt{2} + b\sqrt{10}[/tex]
Required
[tex]a + b[/tex]
Let the vertices be represented with A,B,C,D such as
A = (0,1); B = (3,4); C = (4,3) and D = (3,0)
To calculate the actual perimeter, we need to first calculate the distance between the points;
Such that:
AB represents distance between point A and B
BC represents distance between point B and C
CD represents distance between point C and D
DA represents distance between point D and A
Calculating AB
Here, we consider A = (0,1); B = (3,4);
Distance is calculated as;
[tex]Distance = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]
[tex](x_1,y_1) = A(0,1)[/tex]
[tex](x_2,y_2) = B(3,4)[/tex]
Substitute these values in the formula above
[tex]Distance = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]
[tex]AB = \sqrt{(0 - 3)^2 + (1 - 4)^2}[/tex]
[tex]AB = \sqrt{( - 3)^2 + (-3)^2}[/tex]
[tex]AB = \sqrt{9+ 9}[/tex]
[tex]AB = \sqrt{18}[/tex]
[tex]AB = \sqrt{9*2}[/tex]
[tex]AB = \sqrt{9}*\sqrt{2}[/tex]
[tex]AB = 3\sqrt{2}[/tex]
Calculating BC
Here, we consider B = (3,4); C = (4,3)
Here,
[tex](x_1,y_1) = B (3,4)[/tex]
[tex](x_2,y_2) = C(4,3)[/tex]
Substitute these values in the formula above
[tex]Distance = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]
[tex]BC = \sqrt{(3 - 4)^2 + (4 - 3)^2}[/tex]
[tex]BC = \sqrt{(-1)^2 + (1)^2}[/tex]
[tex]BC = \sqrt{1 + 1}[/tex]
[tex]BC = \sqrt{2}[/tex]
Calculating CD
Here, we consider C = (4,3); D = (3,0)
Here,
[tex](x_1,y_1) = C(4,3)[/tex]
[tex](x_2,y_2) = D (3,0)[/tex]
Substitute these values in the formula above
[tex]Distance = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]
[tex]CD = \sqrt{(4 - 3)^2 + (3 - 0)^2}[/tex]
[tex]CD = \sqrt{(1)^2 + (3)^2}[/tex]
[tex]CD = \sqrt{1 + 9}[/tex]
[tex]CD = \sqrt{10}[/tex]
Lastly;
Calculating DA
Here, we consider C = (4,3); D = (3,0)
Here,
[tex](x_1,y_1) = D (3,0)[/tex]
[tex](x_2,y_2) = A (0,1)[/tex]
Substitute these values in the formula above
[tex]Distance = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]
[tex]DA = \sqrt{(3 - 0)^2 + (0 - 1)^2}[/tex]
[tex]DA = \sqrt{(3)^2 + (- 1)^2}[/tex]
[tex]DA = \sqrt{9 + 1}[/tex]
[tex]DA = \sqrt{10}[/tex]
The addition of the values of distances AB, BC, CD and DA gives the perimeter of the quadrilateral
[tex]Perimeter = 3\sqrt{2} + \sqrt{2} + \sqrt{10} + \sqrt{10}[/tex]
[tex]Perimeter = 4\sqrt{2} + 2\sqrt{10}[/tex]
Recall that
[tex]Perimeter = a\sqrt{2} + b\sqrt{10}[/tex]
This implies that
[tex]a\sqrt{2} + b\sqrt{10} = 4\sqrt{2} + 2\sqrt{10}[/tex]
By comparison
[tex]a\sqrt{2} = 4\sqrt{2}[/tex]
Divide both sides by [tex]\sqrt{2}[/tex]
[tex]a = 4[/tex]
By comparison
[tex]b\sqrt{10} = 2\sqrt{10}[/tex]
Divide both sides by [tex]\sqrt{10}[/tex]
[tex]b = 2[/tex]
Hence,
a + b = 2 + 10
a + b = 12
Answer:
a+b=6
Step-by-step explanation:
The tutor verified answer is mostly correct however, if you look under both by comperision sections you will see that it is:
[tex]4\sqrt{2}[/tex] and [tex]2\sqrt{10}[/tex] thus the answer is 4+2=6
HALPPPPPPPPP The center of a circle has coordinates (6, – 5). The circle is reflected about the line y=x. What are the coordinates of the center of the image circle? ~~~~~~~~~~~~~~~~~~~~~~~~~ (A)(6, −5)~~~(B)(−5, 6)~~~(C)(5, −6)~~~(D) (1, 0)~~~(E) (0, 1)
Answer:
B: (-5, 6)
Explanation:
If this is being reflected over the line y = x, then the formula to solve would be (b, a), so therefore the answer would be B.
In a newspaper, it was reported that the number of yearly robberies in Springfield in 2013 was 100, and then went up by 25% in 2014. How many robberies were there in Springfield in 2014?
Answer:
125
Step-by-step explanation:
So saying something went up by 25% means that it is essentially
X + .25X
So in this case X = 100 and .25X = 25
So 100 + 25 = 125
Which number is an irrational number?
Answer:
[tex]\boxed{\sqrt[3]{16} }[/tex]
Step-by-step explanation:
=> [tex]\sqrt[3]{16}[/tex] is an irrational number because it cannot be written as the form [tex]\frac{p}{q}[/tex] which is the basic requirement of being a rational number.
=> [tex]\sqrt{100}[/tex] = 10 (A rational number because it's a whole number)
=> 1/8 (Rational as it is in the form p/q)
=> -2.2675 (Rational because it is an integer)
Answer:
[tex]\boxed{\sqrt[3]{16} }[/tex]
Step-by-step explanation:
An irrational number cannot be expressed in the form p/q, where p and q are whole integers.
[tex]\sqrt{100} =10[/tex]
[tex]\frac{1}{8} =0.125[/tex]
[tex]-2.2675= - \frac{907}{400}[/tex]
[tex]\sqrt[3]{16} \approx 2.51984209979... \neq \frac{p}{q}[/tex]
[tex]\sqrt[3]{16}[/tex] is an irrational number.
✖️-101 2 3 f(✖️) -2-1 -1/2-1/4-1/8 -9/4 -7/12 12/7 7/12 Given the following table,fine the rate of change between f(-1) and f(2).
Answer: [tex]\frac{7}{12}.[/tex]
Step-by-step explanation:
Given table:
X f(X)
-1 -2
0 -1
1 [tex]-\dfrac{1}{2}[/tex]
2 [tex]-\dfrac{1}{4}[/tex]
3 [tex]-\dfrac{1}{8}[/tex]
i.e. , f(-1) = -2
f(2) = [tex]-\dfrac{1}{4}[/tex]
The rate of change between [tex]f(a)[/tex] and [tex]f(b)=\dfrac{f(b)-f(a)}{b-a}[/tex]
Then, the rate of change between f(-1) and f(2) = [tex]\dfrac{-\dfrac{1}{4}-(-2)}{2-(-1)}[/tex]
[tex]=\dfrac{-\dfrac{1}{4}+2}{3}=\dfrac{\dfrac{-1+8}{4}}{3}\\\\=\dfrac{\dfrac{7}{4}}{3}\\\\=\dfrac{7}{12}[/tex]
Hence, the rate of change between f(-1) and f(2) is [tex]\frac{7}{12}.[/tex]
use De Morgan’s laws to write an equivalent statement.
It’s totally false to say that the student has special needs and doesn’t belong in this classroom.
Answer:
It's totally false to say that the student has special needs or it's totally false to say the student doesn't belong in the classroom.
Step-by-step explanation:
De Morgan's Laws
Not (A and B) is the same as Not A or Not B
Not (A or B) is the same as Not A and Not B
SO:
It's totally false to say that the student has special needs or it's totally false to say the student doesn't belong in the classroom.
A class rolled number cubes. Their results are shown in the table. What is the experimental probability of rolling the number 4?
Answer:16.8 ur welcs
Step-by-step explanation:
HELP FIRST GET BRAINLLEST Measure the difference between the lower quartile of Data Set A and the lower quartile of Data Set B. Round to the nearest tenth when performing all operations.
Answer:
29
Step-by-step explanation:
To find the lower quartile you need to split it into 2 by finding the median
Set A: 73, 75, 79, 81, 84, 85
Set B: 47, 49, 51, 51, 55, 56
Now you have to find the median of each
A: 80
B: 51
Lastly, you subtract and get 29
PLEASE HURRY write the equation of the inverse function y=1/2cos^-1(pix)-3
Answer:
[tex]f^{-1}(x) = \frac{cos(2x+6)}{\pi }[/tex]
Step-by-step explanation:
[tex]y = \frac{1}{2} cos^{-1} (\pi x)-3[/tex]
Firstly, we've to interchange the variables.
[tex]x = \frac{1}{2} cos^{-1}(\pi y)-3[/tex]
Solving for y
[tex]x = \frac{cos^{-1} \pi y}{2} -3[/tex]
Adding 3 to both sides
[tex]x+3 = \frac{cos^{-1}(\pi y)}{2}[/tex]
Multiplying 2 to both sides
[tex]2(x+3) = cos^{-1} (\pi y)\\2x+6 = cos^{-1} (\pi y)[/tex]
Taking cosine on both sides
[tex]\pi y = cos (2x+6)[/tex]
Dividing both sides by y
[tex]y = \frac{cos(2x+6)}{\pi }[/tex]
Replace y by [tex]f^{-1}(x)[/tex]
=> [tex]f^{-1}(x) = \frac{cos(2x+6)}{\pi }[/tex]
Answer:
[tex]\large \boxed{f^{-1}(x)=\frac{cos(2x+6)}{\pi} }[/tex]
Step-by-step explanation:
[tex]\displaystyle y=\frac{cos^{-1} (\pi x)}{2} -3[/tex]
Swicth variables.
[tex]\displaystyle x=\frac{cos^{-1} (\pi y)}{2} -3[/tex]
Solve for y.
Add 3 to both sides.
[tex]\displaystyle x+3=\frac{cos^{-1} (\pi y)}{2}[/tex]
Multiply both sides by 2.
[tex]\displaystyle 2(x+3)=cos^{-1} (\pi y)[/tex]
[tex]\displaystyle 2x+6=cos^{-1} (\pi y)[/tex]
Take the cos of both sides.
[tex]\displaystyle cos(2x+6)=\pi y[/tex]
Divide both sides by [tex]\pi[/tex].
[tex]\displaystyle \frac{cos(2x+6)}{\pi} =y[/tex]
Destiny and Guadalupe are shopping. Destiny buys 2 pairs of pants and 6 bracelets and pays $178.Guadalupe buys 3 pairs of pants and 2 bracelets and pays $155. Solve for the price of each item.
For the entirety of this problem, p will represent a pair of pants and b will represent a bracelet.
Step 1) Set up equations for Destiny and Guadalupe
Destiny: 178 = 2p + 6b
Guadalupe: 155 = 3p + 2b
I will be using substitution to solve this problem, but elimination can also be used.
Step 2) Solve Destiny's equation for p
178 = 2p + 6b
178 - 6b = 2p
89 - 3b = p
Step 3) Substitute the found value of p from Destiny's equation into Guadalupe's equation and solve for b
155 = 3(89 - 3b) + 2b
155 = 267 - 9b + 2b
155 = 267 - 7b
-7b = -112
b = 16
Step 4) Use the value of b found in step 3, plug that back into our equation from step 2 and solve for p
89 - 3(16) = p
89 - 48 = p
p = 41
one pair of pants = $16
one bracelet = $41
Hope this helps!! :)
Which of the following equations is of a parabola with a vertex at (0, 6)?
O y= (x - 6)2
O y= (x + 6)2
O y=x2-6
Oy= x2 + 6
Answer:
y= x^2 + 6
Step-by-step explanation:
y= x2 + 6 (which should be written as y= x^2 + 6) has the form y - k = a(x - h)^2. For y= x^2 + 6, h = 0 and k = 6. Thus the vertex is (0, 6)
If the trapezoid is reflected over the line segment BC, what will be the new coordinates of point A?
Answer:
(13,15)
Step-by-step explanation:
If the trapezoid were to be reflected over the line segment BC, the new coordinates of point A would be (13,15) as it moves to right 5 points from BC sides.
Answer:
(B) 13,15
Step-by-step explanation:
If we look at point A in relation to point B, we see that it's 5 units to the left and 3 units down from point B, therefore making it at (3,15). Now, if we reflect across line BC (which is a y-axis) then we change the X value, not the y value. If the line BC is located at X=8, then the X value will be 8+5, since point A is 5 units away from the line BC. The y value will stay the same because we are reflecting over only one axis. 8+5 = 13, and the y stays at 15, so the new point value of A would be (13,15).
Hope this helped!
WILL MARK BRAINIEST FOR FIRST ONE WITH ANSWER!
1. Come up with a statistical study where a measurement error is likely.
Describe the example.
Give at least one reason why the error is likely.
Determine a better method of measurement for the study.
2. Come up with a statistical study where the units of measure used were not appropriate for the situation.
Describe the example.
Explain why it was not appropriate.
Determine a more appropriate unit of measure for the study.
Answer:
1.Quantifying measurement error
2.Measurement Error (also called Observational Error) is the difference between a measured quantity and its true value. It includes random error (naturally occurring errors that are to be expected with any experiment) and systematic error (caused by a mis-calibrated instrument that affects all measurements)
3.statical unit
Step-by-step explanation:
PLEASE HELP!! is it
A) 4 cm
B) 64 cm
C) 25cm
D) 160 cm
Answer: The Awnser to this equation is C, AE is equal to 25
Answer:
C. 25cm
Step-by-step explanation:
So D and B are too long even longer than AD so that brings us to A or C.
A is too small.
Thus, by logic and reasoning C. 25cm is the correct answer.
Which equation is equal to 2^4x = 8^x-3? Edge2020
Answer:
C) 2^4x=2^3x-3
Step-by-step explanation:
2^4x=2^3x-3
(2³=8)
Answer:
I think the answer is the 3rd one, but i'm not sure.
Step-by-step explanation:
Find the equation of the line: parallel to 3x−y=11 through (−2, 0).
Answer:
I believe it is:
slope-intercept form: y=3x+6
standard form: -3x+y=6 or 3x-y=-6
point slope-form: y-0=3(x+2)
Step-by-step explanation:
First, I put 3x-y=11 into slope-intercept form:
Subtract 3x from both sides: 3x-3x-y=11-3x
That becomes -y=-3x+11
Divide both sides by -1: -y/-1=(-3x+11)/-1
That becomes y=3x-11\
Then, the definition of a parallel line is having the same slope but different y-intercepts, so I dropped the -11 as the y-intercept, and I rewrote the equation as y=3x+b, where b is the y-intercept.
Now, I have to find the y-intercept of the parallel line, so I plug the coordinates (-2,0) into the equation for x and y to solve for the y-intercept
Write the equation out with what you have so far: y=3x+b
Substitute the coordinates (-2,0) in for x and y: 0=3(-2)+b
That becomes 0=-6+b
Add 6 to both sides: 0+6=-6+6+b
That becomes 6=b, which means that 6 is your y-intercept.
Finally, you have gathered everything you need to write the parallel line in equation format.
The parallel line's equation is
in slope-intercept form: y=3x+6
in standard form: -3x+y=6 or 3x-y=-6
in point-slope form: y-0=3(x+2)
10 POINTS NEED AN ANSWER ASAP PLS SIMPLIFY.
1. 2X + 8X – 10 + 6
2. 3(X+7)
3. (X + 2) (X - 3)
Answer:
1. 2 ( 5x - 2 )2. 3x + 213. x² - x - 6Step-by-step explanation:
1.
[tex]2x + 8x - 10 + 6[/tex]
Collect like terms
[tex] = 10x - 10 + 6[/tex]
Calculate the sum
[tex] = 10x - 4[/tex]
Factor out 2 from the expression
[tex] = 2(5x - 2)[/tex]
2.
[tex]3(x + 7)[/tex]
Multiply each term in the parentheses by 3
[tex] = 3x + 3 \times 7[/tex]
Multiply the numbers
[tex] = 3x + 21[/tex]
3.
[tex](x + 2)(x - 3)[/tex]
Multiply each term in the first parentheses by each term in the second parentheses ( FOIL )
[tex] = x(x - 3) + 2(x - 3)[/tex]
Calculate the product
[tex] = {x}^{2} - 3x + 2x - 2 \times 3[/tex]
Multiply the numbers
[tex] = {x}^{2} - 3x + 2x - 6[/tex]
Collect like terms
[tex] = {x}^{2} - x - 6[/tex]
Hope this helps..
best regards!!
A golfer attempts to hit a golf ball over a valley from a platform above the groun
The functions that models the height of the ball is h(t) = -5t2 + 40t + 100
where h(t) is the height in metres at time t seconds after contact. There are
power lines 185 metres above the ground. Will the golf ball hit power lines?
Answer: NO
Step-by-step explanation:
The functions that models the height of the ball is given as
h(t) = -5t2 + 40t + 100
Where
a = -5, b = 40, c = 100
The time the ball will reach the maximum height will be the vertex of the parabola. At the line of symmetry, the time t will be:
t = -b/2a
Substitute b and a into the formula above.
t = - 40 / -5 = 8
Substitute 8 for t in the function f(t)
h(t) = - 5(8)^2 + 40(8) + 100
h(t) = -5(64) + 40(8) + 100
Open the bracket
h(t) = -320 + 320 + 100
h(t) = 100
The maximum height of the ball is 100m
Given that the power lines is 185 metres above the ground. The golf ball will therefore not hit power lines because the maximum height the ball can go is 100 metres
3 sides of the triangle are distinct prime numbers. What is the smallest possible perimeter of the triangle?
Answer:
the smallest possible perimeter is 6
Step-by-step explanation:
since the smallest possible prime number is 2 it would make since if each side is 2 which makes the smallest perimeter possible. i really hope this helped :)
Answer:
6
Step-by-step explanation:
the smallest possible number will be 2.
2 inches/centimeters of each 3 sides of the triangle
The given equation has been solved in the table.
Step
1
Statement
11/22 - 7 = -7
15 / - 7+ 7 = -7+7
2.
3
4
2 / 2 = 2.0
5
= 0
in which step was the subtraction property of equality applied?
OA
step 2
B.
step 3
OC. step 4
D.
The subtraction property of equality was not applied to solve this equation.
Answer:
I'm not 100% sure but I think the answer is step 2
Step-by-step explanation:
its the only step involving addition/subtraction properties rather than multiplicative/ division properties
HOPE THIS HELPS!!! :)
PLEASE LET ME KNOW IF IM WRONG!!!
Step 2, is the subtraction property of equality, Option A is correct.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Here, while reviewing the steps,
In step 2, there is an elimination of 7, by adding 7 on both side because both sides consist of -7,
When +7 add to both side, it becomes,
-7 + 7 rearranging gives, 7 - 7 = 0
Thus, Step 2, is the subtraction property of equality, Option A is correct.
Learn more about arithmetic here:
brainly.com/question/14753192
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