Answer:
In this case the slope of a line perpendicular to the line whose equation is 12x+2y=-12 will be [tex]\frac{1}{6}[/tex]
Step-by-step explanation:
A line has the form:
y = m * x + b
where:
m is the slope of the line. b is Y-intercept. This is the value of y where the line crosses the y-axis.In this case, the line has the form 12*x+2*y=-12
First, you must isolate the variable "y", in order to arrive at the form of the line detailed above:
12*x+2*y=-12
2*y= -12 -12*x
y= (-12 -12*x)÷2
y= (-12)÷2 -(12÷2)*x
y= -6 -6*x
In this case: the slope is -6 and the Y-intercept is -6.
Two lines are perpendicular when they form four equal 90º angles. For two lines to be perpendicular, they must have their slopes inverse and changed sign.
Then, in this case the slope of a line perpendicular to the line whose equation is 12x+2y=-12 will be [tex]\frac{1}{6}[/tex]
I do not know hwo to do this help
Answer: yours is correct
Step-by-step explanation:
Since P = -2 and D = 5,
P - D = -2 - 5 = -7
P + D = -2 + 5 = 3
D - P = 5 - -2 = 7
this makes P - D the smallest, and D - P the largest
HELP AM ABOUT TO GET AND F!!!
Solve each equation by completing the square. I need help with #9 show work too plsss
Answer:
9) we get value of x: [tex]\mathbf{x=-4+\sqrt{42}\:i, x=-4-\sqrt{42}\:i}[/tex]
Option C is correct.
10) The difference is [tex]2k^3+3k-1[/tex]
Option A is correct.
Step-by-step explanation:
9) We need to solve:
[tex]x^2+8x+58=0[/tex]
Solving using quadratic formula: [tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
We have a=1, b=8 and c=58
Putting values and finding value of x
[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\x=\frac{-8\pm\sqrt{(8)^2-4(1)(58)}}{2(1)}\\x=\frac{-8\pm\sqrt{64-232}}{2}\\x=\frac{-8\pm\sqrt{-168}}{2}\\We\:know\sqrt{-1}=i \\x=\frac{-8\pm2\sqrt{42}\:i}{2}\\x=\frac{2(-4\pm\sqrt{42}\:i)}{2}\\x=\frac{2(-4+\sqrt{42}\:i)}{2}, x=\frac{2(-4-\sqrt{42}\:i)}{2}\\x=-4+\sqrt{42}\:i, x=-4-\sqrt{42}\:i[/tex]
So, we get value of x: [tex]\mathbf{x=-4+\sqrt{42}\:i, x=-4-\sqrt{42}\:i}[/tex]
Option C is correct.
10) [tex](5-2k^3-5k)-(-4k^2+6-8k)[/tex]
Combining like terms and subtracting:
[tex](5-2k^3-5k)-(-4k^3+6-8k)\\=5-2k^3-5k+4k^3-6+8k\\=-2k^3+4k^3-5k+8k+5-6\\=2k^3+3k-1[/tex]
The difference is [tex]2k^3+3k-1[/tex]
Option A is correct.
Yesterday I drank 16 cups of coffee. Today I drank 82% more cups. How many cups of coffee did I drink today?
Answer: 29.12 cups of coffee
Step-by-step explanation:
16 cups of coffee x 0.82 = 13.12
13.12 + 16 = 29.12
Consider the number lines shown below which shows jump from one number to another. There are four different arrows, starting from the number . Match the number lines given in the first column with the correct mathematical expression that results in the number on the other side of the arrow. Number line 1 Number line 2 Number line 3 Number line 4 Number line 1 Number line 2 Number line 3 Number line 4 DRAG & DROP THE ANSWER −45−20+5-45-20+5−45−20+5 −45+10+5-45+10+5−45+10+5 −45+30−20-45+30-20−45+30−20 −45+35−15-45+35-15−45+35−15
Answer:
Step-by-step explanation:
Its number line 2.
This figure is made from a part of a square and a part of a circle.
For each of the questions below, use 3.14 as an approximation for (pi) and round your solution to the nearest whole number.
a. What is the perimeter of this figure, to the nearest unit?
Type the answer into the box below.
b. What is the area of this figure, to the nearest square unit?
Type your answer in the box below.
Answer:
i need this tooo
Step-by-step explanation:
The perimeter of this figure, to the nearest unit, is 37.9 units and the area of this figure, to the nearest square unit is 153.54 square units.
What is a square?It is defined as a two-dimensional geometry that has four sides and four vertices. The sides of the square are equal in length. It is a regular quadrilateral.
We have a figure shown in the picture made with squares and circles.
To find the perimeter of the figure.
First, calculate the circumference of the circle portion.
The circumference of the 1/4 circle = (1/4)2πr
The radius of the circle r = 5 units
The circumference of the 1/4 circle = (1/4)2π(5)
The circumference of the 1/4 circle = 7.85 units
The perimeter of the figure = 10 + 5 +7.85 + 5 + 10
The perimeter of the figure = 37.85 units ≈ 37.9 units
The area of the figure = area of the square - an area of the square(5×5) +
area of the 1/4 circle
The area of the figure = 10×10 - 5×5 + π(5)²
The area of the figure = 100 - 25 + 78.53
The area of the figure = 153.54 square units
Thus, the perimeter of this figure, to the nearest unit is 37.9 units and the area of this figure, to the nearest square unit is 153.54 square units.
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8 questions; if you solve all of them (with the numbers next to the question) you will get 80 points.
Write a formula for the given measure. Tell what each variable it represents. Identify which variable depends on which formula.
4. the perimeter of a rectangle with a length of 5 inches
5. the area of a trapezoid with base lengths of 7 feet and 11 feet
Tell whether the ordered pair is a solution of the equation.
6. y = 4x; (0.4)
7. y = 3x; (2,6)
8. y = 5x - 10; (3,5)
9. y = x+7; (1,6)
10. y = 7x + 2; (2,0)
11. y = 2x - 3; (4,5)
Answer:
there is only 40
Step-by-step explanation:
Jon scored 13 points during the first have of the game. What was his points per game?
my question is y = 4x + 1 and my options are
a. 4, 3
b. 4,1
c. 1,4
d. 3,1
Answer:
B. 4,1
Step-by-step explanation:
Need an answer asap!
Find the value of f(-142) for the function below.
f(x) = -0.2(x + 223)
A.
-186.6
B.
81
C.
-16.2
D.
251.4
Answer:
c
Step-by-step explanation:
you would put -142 in the x place
-0.2(-142+223)
-0.2(81)=-16.2
I WILL GIVE A BRAIN LIST TO THE FIRST PERSON WHO ANSWERS!!!!!!!
Compare the pair of numbers. Use .
three-fourths ___ start fraction 33 over 40 end fraction
A. three-fourths > start fraction 33 over 40 end fraction
B. three-fourths < start fraction 33 over 40 end fraction
C. three-fourths = start fraction 33 over 40 end fraction
I WILL GIVE BRAINLIST TO FIRST PERSON WHO ANSWERS!!!!
Answer:
its c
Step-by-step explanation:
Our denominators are 40 and 4. What we need to do is find the lowest common denominator of the two numbers. This is the smallest number that can be divided by both 40 and 4. In this case, the lowest common denominator is 40.
If we multiply the first denominator (40) by 1 we will get 40. If we multiply the second denominator (4) by 10 we will also get 40. We also need to multiply the numerators above the line by the same amounts so that the fraction values are correct:
33 x 1
40 x 1
3 x 10
4 x 10
This is what 33/40 and 3/4 looks like with the same denominator:
33
40
&
30
40
Now that these fractions have been converted to have the same denominator, we can clearly see by looking at the numerators that 33 is greater than 30 which also means that 33/40 is greater than 3/4.
Answer:
b
Step-by-step explanation:
-8(6x+12)=-32x-24 SHOW YOUR WORK PLS whats x
Answer:
x= -9/2
Hope I helped
Answer:
[tex]x=-\frac{9}{2}[/tex]
Step-by-step explanation:
Simplify the given equation by solving for x. Isolate the x variable in:
[tex]-8(6x+12)=-32x-24[/tex]
Expand the left side by using the distributive property. Remember that when a negative and positive are multiplied, the result is always negative:
[tex]-8(6x)-8(12)=-32x-24\\\\-48x-96=-32x-24[/tex]
Use inverse operations to isolate the variable. Add 96 to both sides, canceling out the -96 on the left:
[tex]-48x-96+96=-32x-24+96\\\\-48x=-32x+72[/tex]
Add 32x to both sides to isolate x:
[tex]-48x+32x=-32x+32x+72\\\\-16x=72[/tex]
Now divide both sides by 16:
[tex]\frac{-16x}{16} =\frac{72}{16} \\\\-x=\frac{9}{2}[/tex]
Make the variable positive by multiplying both sides by -1:
[tex]-1(-x)=-1(\frac{9}{2})\\\\x=-\frac{9}{2}[/tex]
:Done
Note:
You do the same thing to both sides in order to keep the equation balanced. Using the opposite value of a term cancels it out, moving it to the other side.
32.2 divided by 7.56 use compatible numbers to estimate the quotient
Answer:
4and 7over 27 is the answe
Solve the inequality for .x.
1
=x
6
+4>-3x-8
Simplify your answer as much as possible.
We need to know about inequality to solve this problem. The solution of the inequality is x>-4/3.
Inequality represents the comparison between two unequal expressions. Two expressions can be related to each other as greater than, less than,greater than or equal to or less than or equal to. While solving inequality we always have to keep in mind the change of sign and corresponding change of the comparison. Here in the question we have an inequality of the variable x, we have to get a solution for x by solving this inequality.
6x+4>-3x-8
6x+3x>-8-4
9x>-12
x>-4/3
Therefore the solution set that we get from the inequality 6x+4>-3x-8 is x>-4/3.
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rationalize the denominator of 3/4√3
please give me answer
Answer:
[tex]\dfrac{\sqrt3}{4}[/tex]
Step-by-step explanation:
The given expression is :
[tex]x=\dfrac{3}{4\sqrt{3} }[/tex]
Multiplying both numerator and denominator by [tex]\sqrt{3}[/tex],
[tex]x=\dfrac{3}{4\sqrt{3} }\times \dfrac{\sqrt{3} }{\sqrt{3} }\\\\=\dfrac{3\sqrt3}{4\times 3}\\\\=\dfrac{\sqrt3}{4}[/tex]
So, the rationalized form of the given expression is [tex]\dfrac{\sqrt3}{4}[/tex]
Please help asap! if you could also explain how you did it so I can answer the other questions by myself
Answer:
Step-by-step explanation:
true
Triangle PQR is transformed to similar triangle P'Q'R':
What is the scale factor is diliation?
1.) 1/2
2.) 1/3
3.) 1/4
4.) 1/5
Answer:
1/3 hope this helps!!!
what is neagtive four equal r over twenty minus five
Answer:
r=-20
Step-by-step explanation:
if you need any other help lmk!
Answer:
Step-by-step explanation:
r=20
need any help just text me
Which is more, 7 feet or 81 inches?
Answer: 7 feet
Step-by-step explanation:
1 foot = 12 inches
7 * 12 = 84
7 feet = 84 inches
84 inches are more than 81 inches
Answer:
7 feet is greater
Step-by-step explanation:
you can change feet to inches. one foot is the same as 12 inches. so 7 feet = 84 inches. so 84 > 81 so 7 feet is greater
can someone help ASAP
Answer:
a. y = -3x+[tex]\frac{1}{2}[/tex]
b. y = -2
Step-by-step explanation:
The equation for a line is y=mx+b (m= the slope b= the y-intercept) Simply insert the variables into the equation.
Geometry question can somebody help answer it?
Answer:
5
Step-by-step explanation:
looking at the congruency statement, we can tell A and D are equal
so we set up the equation that way: 10x=50
divide by 10 on both sides: x=5
G is the centroid of tiangle ABC, AB = AC, AD= 15, CG= 13, and AD is perpendicular to CB. Find the length of the segment.
Answer:
AG=13
AB=AC
AD is | to BC
CG=BG
line segments is BG or GB
56 = ?×?×?×? i want to know what number ecual yo 56 by multiplying it 4 times to get your answer
Answer:
4 * 14 = 56
Step-by-step explanation:
56/2 = 28
28/2 = 14
14/2 = 7
7/7 = 1
56 = 2 * 2 * 2 * 7
56 = (2 * 2) * (2 * 7)
56 = 4 * 14
−4x+5−x−2
what is x?
Answer:
−4x+5−x−2= 28
Step-by-step explanation:
−4x+5−x−2 = 28
-5x+3=28
-5x=25
x= -5
The sum of Eric’s and Bob’s weights is 9 times the difference of their weights. The positive difference of their weights is also 240 pounds less than the sum. If Eric weighs less than Bob, find Bob’s weight.
Answer:
B - E = B + E = -240
Step-by-step explanation:
A ski jump rises 3ft over a run of 7ft what is the length of the surface of the jump?
Answer:
7.6158 feet
Step-by-step explanation:
The rise and run form the shorter sides of a right triangle with the hypotenuse as the surface (see figure)
Hypotenuse (surface length) is given by the Pythagorean formula
[tex]c = \sqrt{a^2 + b^2}[/tex] where c is the hypotenuse and a, b the shorter sides
Here
[tex]\sf c = \sqrt{7^2 + 3^2} = \sqrt{49 + 9} = \sqrt{58} = 7.6158\;feet[/tex]
4x^3(5x) = what,
will mark brainliest
Answer:
25
Step-by-step explanation:
HELP PLS I HAVE 5 min
Pls guys I’ll make u brainliest
Answer:
fifth option
Step-by-step explanation:
The terms of an arithmetic sequence are made by adding the same value, the common difference, each time
(11a-8b) - (13a-9b) when simplified is
Answer:
[tex]-2a+b[/tex]
Step-by-step explanation:
[tex]\left(11a-8b\right)-\left(13a-9b\right)\\11a-8b-\left(13a-9b\right)\\11a-8b-13a+9b\\11a-13a-8b+9b\\-2a-8b+9b\\-2a+b[/tex]
Mrs. aviles is planning a fruit-cup party for a class of 18 students and two teachers. She spends $10 for a package of snacks and also takes orders in advance for fruit cups that cost $3 each.
1. describe the domain of the function both in words and numbers?
2. what is the range?
Answer:
domain is x = 3
Thus domain means that for every fruit cup costs $3
Range is f(20) = 60
Step-by-step explanation:
We are given;
Total students for the fruit cup party = 18
Total teachers for the fruit cup party = 2
Cost of each fruit cup =$ 3
Delivery charge = $ 10
Now, the total number of people attending the party = Total number of students + Total number of teachers
Thus;
Total number of people attending party = 18 + 2 = 20
Since cost of each fruit cup is $3.
Thus, for 20 fruit cups, the function is;
f(x) = 20x where x is cost of each fruit cup.
It means the cost of 20 fruit cups = $3 × 20 = $60
Thus, domain is x = 3
Thus domain means that for every fruit cup costs $3
Range is f(20) = 60