Answer:
line a and b are parallel, there is no perpendicular lines
Step-by-step explanation:
Looking at the slope of each line, you can identify whether the lines are parallel, perpendicularlar, or neither.
When the slopes are the same, they are parallel.
When the slopes have opposite sign and numerator and denominator flipped, they are perpendicular. Ex. [tex]\frac{a}{b}[/tex] and [tex]-\frac{b}{a}[/tex] are perpendicular slopes.
Finding slope is using the formula: [tex]\frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex]
Line a has slope [tex]\frac{3-4}{4-0}[/tex] = [tex]-\frac{1}{4}[/tex]
Line b also has slope [tex]-\frac{1}{4}[/tex]
Line c has slope 2
Since slope of line a and b are same, they are parallel.
Line c is not perpendicular to line a and b because the slope should have opposite sign and numerator and denominator flipped, which is 4 not 2.
A bag contains 4 red marbles and 6 blue marbles. Brandon selects one marble from the bag. Without replacing the marble he then
selects a second marble. What is the probability he selects a red marble given that he first selects a blue marble?
A)1/5
B)2/5
C3/5
D)4/15
HELP ASAP ILL GIVE BRAINLIEST
Emma can run 2 3/4 miles in 3/4 hour what is her average speed in miles per hour
Answer:The answer is 1/6
Step-by-step explanation:1/8 miles in 3/4 minutes
then, that means in 1 minute ( 1 min = 3/4 * 4/3) Emma will ride a distance of (1/8)*(4/3)= (1*4)/(8*3)= 1/6.
The answer is 1/6 (in 1 min she will ride 1/6 miles).
A customer purchased a total of 16 washcloths and towels. Each washcloth cost $10.50 and each towel cost $15.00. The customer spent $226.50 all together.
How many washcloths did the customer buy?
Answer:
3
Step-by-step explanation:
10.50 x 3 = 31.5
15 x 13 = 195
195 + 31.5 = 226.50
Plz help 50 points
Help on number 2 and 3 please. What if you can’t read number 3’s answer it is;
A.8
B. 1/8
C.2/9
D. 9/2
Plz help on number 2 and 3
Answer: So the answer to number 2 is D! And the answer to number 3 is C I think I am not pretty sure about #3 but I am sure its D for 2 and pretty sure for #3 is C!
For mixing paint, Bishear used the equation, 1/2x + 9 = 13, for making orange. If he puts in 8 parts red, so x = 8, would it be a solution to the equation. *
Answer:
If he keeps to the same ratio, how many raspberries will Tobias use? ... The first orange paint mixture contains 6 parts red and 9 parts yellow.
Step-by-step explanation:
HELPPPPP
Which of the following are roots of the polynomial function below?
Check all that apply.
F(x) = x^3 -3x²+2
The roots of the polynomial function f(x) = x³ - 3x² + 2 are [tex]\frac{2-\sqrt{12} }{2}, \frac{2+\sqrt{12} }{2}, \ and \ 1[/tex].
What are the roots of the polynomial function?Given the polynomial function in the question:
f(x) = x³ - 3x² + 2
To find the roots of the polynomial function f(x) = x³ - 3x² + 2, we need to solve for values of x that make the function equal to zero.
f(x) = x³ - 3x² + 2
x³ - 3x² + 2 = 0
Factor the equation using the rational root test:
( x - 1 )( x² - 2x - 2 ) = 0
Equate each factor zero and solve for x:
( x - 1 ) = 0
x - 1 = 0
x = 1
( x² - 2x - 2 ) = 0
x² - 2x - 2 = 0
Using the quadratic formula:
[tex]x = \frac{-b\±\sqrt{b^2 - 4(ac)} }{2a} \\\\x = \frac{-(-2)\±\sqrt{(-2)^2 - 4(1*-2)} }{2*1} \\\\x = \frac{2\±\sqrt{4 + 8} }{2} \\\\x = \frac{2\±\sqrt{12} }{2}\\\\Hence:\\\\x = \frac{2-\sqrt{12} }{2}, \frac{2+\sqrt{12} }{2}[/tex]
Therefore, the roots are [tex]x = \frac{2-\sqrt{12} }{2}, \frac{2+\sqrt{12} }{2}, 1[/tex].
Options A, B and D are the correct answers.
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HELP PLSS I NEED THE ANSWERS ASAP PLSSS :((
Answer:
132 km :)))))))))))))))
Step-by-step explanation:
The Hint said to find the two things in comparison
they are:
99km----------→9litXkm----------→12litcross multiply the two equations
=99km*12lit=9lit*Xkm
=1188lit/km=9Xlit
note;
liters will annul liters
hence,
X=1188km/9
X = 132km
is the final answer
Use quadratic regression to find the
equation for the parabola going
through these 3 points.
(-7, 134) (-3, 10) (5, 50)
Given:
The three points are (-7,134), (-3,10) and (5,50).
To find:
The equation of parabola using quadratic regression.
Solution:
The general equation of quadratic regression is
[tex]y=ax^2+bx+c[/tex] ...(i)
The three points are (-7,134), (-3,10) and (5,50).
Using the graphing calculator, we get a=3, b=-1 and c=-20. Putting these values in (i), we get
[tex]y=3x^2+(-1)x+(-2)[/tex]
[tex]y=3x^2-x-2[/tex]
Therefore, the equation of parabola is [tex]y=3x^2-x-2[/tex] and the missing values in the given equation are 3, -1 and -20.
what did he do wrong
Answer:
He did not multiply 3 by the fraction 5/3.
Step-by-step explanation:
8/3=3c + 18/3
Find the solution of the system of equations.
– 2 – 8y = -30
2x + 8y = 36
Answer:
x= 1.5
y= 4.125
Step-by-step explanation:
Step one:
given the two equations
[tex]-2x - 8y = -30-------1\\\\2x + 8y = 36--------2[/tex]
Step two:
let us subtract the equations
[tex]-2x - 8y = -30-------1\\\\ -(2x + 8y = 36)--------2\\\\0x-16y=-66[/tex]
[tex]-16y=-66\\\\16y=66[/tex]
divide both sides by 16
[tex]y=66/16\\\\y=4.125[/tex]
put y= 4.125 in equation 2
[tex]2x + 8(4.125)= 36\\\\2x+33=36\\\\2x=36-33\\\\2x=3\\\\x= 3/2\\\\x= 1.5[/tex]
SOMEONE PLEASE HELP ME OUT WITH THIS PLEASE PLEASE PLEASEE I WANT TO PASS AND I DONT KNOW THAT ANSWER
Answer:
A and D
Step-by-step explanation:
C
i gotta add words so i meat the 20 character limit :)
Kalista is making a new dance outfit. She needs 2 ½ yards of fabric for the shawl. She needs 1 ¾ yards of fabric for the dress. If she has 3 yards of fabric, how much more does she need? If each yard of fabric cost $7.98, how much money does she need?
Answer:
$9.98
Step-by-step explanation:
The first step is to calculate the total fabric that Calista has
= 2 1/2 + 1 3/4
= 5/2 + 7/4
= 17/4
The next step is to calculate the fabric that she needs
= 17/4-3
= 5/4
If each yard of fabric costs $7.98 then the amount needed can be calculated as follows
= 7.98 × 5/4
= 7.98 × 1.25
= 9.975
= $9.98
Hence Kalista needs $9.98
These diagrams show the same third-degree polynomial, P(x) = 2x3 + 5x2 + x + 10, divided by a linear factor and by a quadratic factor.
The third degree - polynomial can be factored into a linear factor of x+2 and a quadratic factor of 2x²+x+5.
A third degree polynomial is a collection of algebraic expressions such that the highest degree of the variable is 3 and there are no fractional degrees and exponential variable.
To factor a polynomial we will use the factor theorem to find the linear factor. Then by dividing the polynomial by the linear factor we will calculate the quadratic factor.
Given polynomial P(x) = 2x³ + 5x² + 7x + 10
Now by using the trial and error method factor theorem we see that
g(x) = (x+2) is a factor of P(x) .
Now let us find the quadratic factor as:
P(x) ÷ g(x) = ( 2x³ + 5x² + 7x + 10) ÷ (x+2) = 2x²+x+5
Hence the third degree - polynomial can be factored into a linear factor of x+2 and a quadratic factor of 2x²+x+5.
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Disclaimer: The correct polynomial is P(x) = 2x³ + 5x² + 7x + 10 .
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Using the figure below, angle FBD is 50 degree, which is true regarding angle EBF?
Answer:
<EBF = 40
Step-by-step explanation:
<EBF and <FBD are complementary, which means m<EBF + m<FBD = 90 degrees. Since m<FBD = 50 degrees, m<EBF = 90 - 50 = 40 degrees.
Fabulous fitness charges a one time fee of $90 and an additional $25 per month wonder weights charges a one time fee of only $ 27 dollars but charges an additional $32 each month for how many months is fabulous fitness less expensive than wonder weights? Set up and solve an equality to determine your answer
Answer:
9 months
Step-by-step explanation:
Given
Fabulous fitness charges a one-time fee of $90 and an additional $25 per month
let the number of months be x
and the total charges be y
y= 25x+90---------1
Wonder weights charges a one-time fee of only $ 27 dollars but charge an additional $32 each month
let the number of months be x
and the total charges be y
y= 32x+27------------2
Required
The value of x, that is the number of months
Step two:
Equating both equations we have
25x+90=32x+27
collect like terms
25x-32x=27-90
-7x=-63
7x=63
divide both sides by 7
x= 63/7
x= 9 months
What is the rate of change or slope?
Question 1 options:
m= 1/2
m=-2/1
m=-1/2 or m=-2/4
m=-2/1 or m=-4/2
Answer:
m=-1/2 or m=-2/4
Step-by-step explanation:
The rate of change or slope of the given line is [tex]m=-\frac{1}{2} or m=-\frac{2}{4}[/tex]
Given :
The graph of a line . To find out the slope or rate of change , we pick two points on the line.
Two points are (-8,2) and (4,-4)
Lets apply slope formula
[tex]Slope = \frac{y_2-y_1}{x_2-x_1}[/tex]
(-8,2) is (x1,y1)
(4,-4) is (x2,y2)
Substitute all the values inside the formula
[tex]Slope = \frac{y_2-y_1}{x_2-x_1}\\slope =\frac{-4-2}{4+8} =\frac{-6}{12} =-\frac{-2}{4} =-\frac{1}{2}[/tex]
The rate of change or slope of the given line is [tex]m=-\frac{1}{2} or m=-\frac{2}{4}[/tex]
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find the mean median and mode of the data set :15,11,14,10,12,15,15
Answer:
Mean = 13.14, Median = 14, Mode = 15
Step-by-step explanation:
The mean is the numbers added together divided by the number of numbers
15 + 11 + 14 + 10 + 12 + 15 + 15 = 92
92 / 7 = About 13.14
The median is the middle of the numbers ordered from least to greatest
10 11 12 14 15 15 15
14 is in the middle so that is the median.
The mode is the number showing up the most.
15 shows up 3 times so it is the mode.
Which line appears to have an x-intercept of -3 and a intercept of 5?
The first graph shows the x-intercept of -3 and y - intercept of 5.
Option A is true.
What is Intercepts?
The points in which the graph crosses the two axis ( x and y axis) are called Intercepts.
Given that;
The x - intercepts = -3
And, The y - intercepts = 5
Since,
The x - intercepts = -3
That's mean the line cross at the point - 3 on x - axis.
And, The y - intercepts = 5
That's mean the line cross at the point 5 on y - axis.
Clearly, In graph first;
The graph of the line is crosses at the point on x - axis at the point -3 and y - axis at the point 5.
Therefore,
The first graph shows the x-intercept of -3 and y - intercept of 5.
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What is the greatest common factor of 20 and 55?
Answer: 5
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
2(i + 3) > 4(1 - i)
[tex]2(i+3)>4(1-i)[/tex]
Distribute 2 in (i+3) and 4 in (1-i)
[tex]2i+6>4-4i[/tex]
Move -4i to another side and 6 to another side. When moving to another side, you'll have to change the sign/operator to opposite (Plus -> Minus, Multiply -> Divide)
[tex]2i+4i>4-6\\6i>-2\\[/tex]
For this part, move 6 to divide -2.
[tex]i>\frac{-2}{6} \\i>\frac{-1}{3}\\i>-\frac{1}{3}[/tex]
Whenever either a numerator or a denominator is in negative, we can pull out the negative in the middle of fraction.
Note that i is the symbol of imaginary number - as defined - i = √-1 But for this one, It's just a variable if I assume.
Thus, the answer is i > -1/3
you are tiling a kitchen floor that is 10 ft wide by 4 yd long. how many square yards of tile do you need? study.com
40÷3 or [tex]13\frac{1}{3}[/tex] square yards of tiles are needed.
To find the amount of square yards of tile needed, we will find the area. Now, to calculate the area in square yards, first thing needed in conversion of width of kitchen floor from feet to yard.
As per the known fact, 1 foot = 1÷3 yards
So, converting given width into yards, we will simply multiply
10 feet = (1÷3)×10
10 feet = 10÷3 yards
Now, calculating the square yards of tile needed or area.
Needed tiles = (10÷3)×4
Performing multiplication to find the square yards of tile needed -
Needed tiles = 40÷3 or [tex]13\frac{1}{3}[/tex] square yards.
Hence 40÷3 or [tex]13\frac{1}{3}[/tex] square yards of tile is needed.
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help fast 15 points Which value of n makes this equation true? 57 – 1 9 5. A. n = -16 n = -2 n = 16
Answer:A) -16
Step-by-step explanation:
Find the slope of the line.
Your apartment is at (0, 0) on a coordinate plane. You want to go to Chicken Shack (CS) and get some tasty chicken tenders, with buffalo sauce, curly fries, ranch and a Diet Pepsi. Chicken Shack's (CS) location is at (3, 4) . After Chicken Shack (CS ), you go to Baskin Robbins (BR) with your two co-workers at the location (- 4, 4) . What is the total distance you traveled?
Answer:
The answer is below
Step-by-step explanation:
The distance between two points on a coordinate plane is given by:
[tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Given the location of the apartment (AP) is at A(0,0), the Chicken Shack's (CS) location is at C(3, 4) and Baskin Robbins (BR) is at the location B(- 4, 4). Hence the following distance are:
[tex]|AB|=\sqrt{(-4-0)^2+(4-0)^2} =4\sqrt{2}\ units\\\\|AC|=\sqrt{(3-0)^2+(4-0)^2}=5\ units \\\\|BC|=\sqrt{(3-(-4))^2+(4-4)^2}=7\ units[/tex]
Hence the total distance travelled = distance between the apartment and chicken shack +distance between apartment and Baskin Robbins + distance between Baskin Robbins and chicken shack
total distance travelled = AB + BC + AC = 4√2 + 7 + 5
total distance travelled = 17.66 units
The equation of a circle is in the form:
(x - h)2 + (y – k)2 = 9
If the circle is centered in Quadrant III, what must be true
of h and k ?
A h> 0 and k > 0
Bh< 0 and k < 0
Ch< 0 and k > 0
Dh> 0 and k < 0
Answer:b
Step-by-step explanation:
Solve for d: 6d2 + 5d = 1.
Factorise fully 5x^2+7x
Answer:
I don't find any other way or solution
Step-by-step explanation:
5x^2+7x=5x(x+7/5)
Round 3,989.23655 to the nearest thousandth. 3,989.237 3,989.236 4,000 3,989.240
Answer:
3,989.237Step-by-step explanation:
Rounding to the nearest THOUSANDS means 3 decimal places
. Triangle G H J is rotated 90 degrees about point X to form triangle S T R. Triangle GHJ is rotated 90° about point X, resulting in triangle STR. Which congruency statement is true? TR ≅ GJ ∠S ≅ ∠H TS ≅ HG ∠R ≅ ∠G
Answer:
Answer is TS ≅ HG.
Step-by-step explanation:
When a triangle is rotated the corresponding parts are congruent.
Here we get image triangle S T R when we rotate the triangle G H J. So, the corresponding parts of congruent triangles are congruent.
So, ST = GH
RT= HJ
SR= GJ
<S= <G
<T = <H
<R=<J
According to them, the option TS= HG is correct.
Answer:
C. TS ≅ HG
Step-by-step explanation:
Credits to the person above!!!
what is the y-intercept of each function? f(x)=7(-x+3)
Answer:
21
Step-by-step explanation:
You have to distribute the 7 in this case:
f(x) = 7(-x + 3)
f(x) = -7x + 21
The y-intercept is the number without the x with it. So, with this function it is 21.
I hope this helps!!
- Kay :)