homework 2 solving systems by substitution

9514 1404 393

Answer:

  65 miles

Step-by-step explanation:

The Pythagorean theorem applies.

  d^2 = 33^2 +56^2

  d^2 = 1089 +3136 = 4225

  d = √4225 = 65

The diagonal road is 65 miles long.

Answer:

39

Step-by-step explanation:

29+112= 141  180-141=39

Answer:

(p - 8) / 2 = Maddie's pretzels

Answer:

Put a pretend dot at number 2 and number -4, then since the line is undefined, it will simply be vertical and look like this:

Answer:

100

Step-by-step explanation:

Answer:

536.17 cubic yards

Step-by-step explanation:

Answer:

its 50.27

Step-by-step explanation:

its asking what the base is equal to, so u find basically the area of the base

Answer:

Yes it is possible

Step-by-step explanation:

Given:

The points are A(3, -3), B(-3, -2), C(-5, 1), D(-5, 4), E(-4 ,6), F(-2, 6), G(3, 2).

To find:

The length of EF and plot each point on a coordinate plane and connect them.

Solution:

Plot the given point A(3, -3), B(-3, -2), C(-5, 1), D(-5, 4), E(-4 ,6), F(-2, 6), G(3, 2) on coordinate plane and connect them as shown in the below figure.

From the below graph it is clear that the length of EF is 2 units. We can verify this solution by using the distance formula.

Distance formula:

[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Using the distance formula, the distance between E(-4 ,6) and F(-2, 6) is

[tex]D=\sqrt{(-2-(-4))^2+(6-6)^2}[/tex]

[tex]D=\sqrt{(-2+4)^2+(0)^2}[/tex]

[tex]D=\sqrt{(2)^2+0}[/tex]

[tex]D=2[/tex]

Therefore, the length of EF is 2 units.

Answer:

58

Step-by-step explanation:

you need to order all the numbers together:

28​, 54, 56, 60, 62, 64

since the middle 2 are 56 and 60 you need to find the average of those.

(56 + 60)/2 = 58

Answer:

d = 4

Step-by-step explanation:

Given f varies inversely as d² then the equation relating them is

f = [tex]\frac{k}{d^2}[/tex] ← k is the constant of variation

To find k use the condition when d = 2, f = 6 , then

6 = [tex]\frac{k}{2^2}[/tex] = [tex]\frac{k}{4}[/tex] ( multiply both sides by 4 )

24 = k

f = [tex]\frac{24}{d^2}[/tex] ← equation of variation

When f = 1.5 , then

1.5 = [tex]\frac{24}{d^2}[/tex] ( multiply both sides by d² )

1.5d² = 24 ( divide both sides by 1.5 )

d² = 16 ( take the square root of both sides )

d = [tex]\sqrt{16}[/tex] = 4

Answer:

you do pythagorean theorem

Step-by-step explanation:

the base is 8 and the side length is 6 so you do 8²+6²

8²=64 +6²=36

64+36=100 you have to square 100 which is 10

C=10

Answer:

Dilations which reduce or enlarge an object. Translations which move the object from one part on the graph to another. I have also learned about how to construct a perpendicular bisector.

Step-by-step explanation:

====================================

====================================

--> Actually, Flat shapes like squares, circles, and triangles are a part of flat geometry and are called 2D shapes.

These shapes have only 2 dimensions, the length and the width.

( based on what i know )

Answer:

Congruent Step-by-step explanation:

          b

Step-by-step explanation:

Answer:

volume of prism = lbh

Step-by-step explanation:

Volume of a cuboid = (length × breadth × height) cubic units. = (l × b × h)

lbh

Don't know for sure whether this is what the question wanted but oh well

y = (2x + 1)/(3x + 4)

y(3x + 4) = (2x + 1)

3xy + 4y = 2x + 1

4y - 1 = 2x - 3xy

4y - 1 = x(2 - 3y)

x = (4y - 1)/(2 - 3y) , answer = E

Answer:

goodjob

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

The function is of the form

y =a f(bx) where |a| is the amplitude and b is the frequency

y = 6 sin (3x)

The amplitude is |6| = 6

Answer:

Answer:

m∠2= 86

Step-by-step explanation:

since they are vertical angles, that means they are both equal to eachother.

so lets set them equal!

17x+1=20x-14

17x+15=20x

15=3x

x=5

now input x into m∠2

m∠2 = 20(5) – 14 = 86

Step-by-step explanation:

Answer:

y - 9 = -3/2 (x - 6)

Step-by-step explanation:

Equation of line: 4x - 6y - 15 = 0

Equation of perpendicular line: bx - ay + k = 0

                                                 = -6x - 4y + k = 0 → (equation 1)

Since the equation passes through (6,9)

-6(6) - 4(9) + k = 0

-36 -36 + k = 0

-72 + k = 0

k = 72

Substituting the value of in equation 1,

∴ Equation of perpendicular line = -6x -4y + 72 = 0

dividing by -2,

3x + 2y - 36 = 0

This equation is the simplified version of Option 1.

y - 9 = -3/2 (x - 6)

y - 9 = (-3x + 18)/2

2y - 18 = -3x + 18

3x + 2y - 36 = 0

Answer:

y==$281+$166=$447

in 11 weeks she pay $ 447

in 1 weeks she pay $447/11=40.6$

she paid off in 3+8=11 weeks

I am not sure

Answer:

Thanks for the points it feels really nice to help others

Step-by-step explanation:

Answer:

24÷3+12 would be 20

Step-by-step explanation:

You do 24÷3 which is 8 and then you add 12. I hope this helps!

Answer:

yes I will help you just give the question

Answer:

Volume of the cone V》1570 cm^3

Volume of the hemisphere V》4186.67cm^3

Volume of the entire figure V》5756.67cm^3

hope it helps...

hope it helps...have a great day !!

Answer:

area of whole pizza = 200.96 in²

area of slice of pizza = 25.12 in²

Step-by-step explanation:

16"/2 = 8" radius

area = πr² = (3.14)(8²) = 200.96 in²

200.96 in²/8 = 25.12 in²

Answer:

28

Step-by-step explanation:

For Luis to get a mean of 20 he would need:

14 + 18 + 15 + 25 + x (unknown number of goal he needs) / 5 = 20

Therefore 14 + 18 + 15 + 25 + x = 100

Solve for x to get 28

Answer:

C: 10

Step-by-step explanation:

I multiplied the two of them. And that triangle is 90 degrees

Answer:

4⁶

Step-by-step explanation:

10 - 4 = 6

Answer:

Angle 1: 95 degrees

Angle 2: 85 degrees

Angle 3: 95 degrees

Step-by-step explanation:

Vertical angles are opposite and equal so in this case angle 1 and 3 are vertical and so are 2 and 85°

So that means angle 2 also equals 85 degrees and because of supplementary angles the other angle must add up to equal 180 degrees

85 + ? = 180

?=95

So both angle 1 and 3 equal 95 degrees

Answer:

c

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan64° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{11}{c}[/tex] ( multiply both sides by c )

c × tan64° = 11 ( divide both sides by tan64° )

c = [tex]\frac{11}{tan64}[/tex] ≈ 5.4 ( to the nearest tenth )