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2 years ago

Which ordered pair is a solution of the equation y=3x?

Mathematics

1 answer:

lawyer [7]2 years ago

6 0

Answer D- (-10, -30)

y = 3x
-30 = 3(-10)
-30 = -30

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the sum of two numbers is 57. If the larger number is three less than twice the smaller number find both numbers

bearhunter [10]

Answer:

Step-by-step explanation:

x = larger number, y = smaller number

x + y = 57

x = 2y - 3

2y - 3 + y = 57

3y - 3 = 57

3y = 57 + 3

3y = 60

y = 60/3

y = 20 <=== the smaller number

x = 2y - 3

x = 2(20) - 3

x = 40 - 3

x = 37 <=== the larger number

3 0

3 years ago

Read 2 more answers

Express the area of the entire rectangle Your answer should be a polynomial in standard form

Ugo [173]

Answer: x^2 + 6x + 8

Step-by-step explanation: (x+2)(x+4) = x^2 + 4x + 2x + 8

= x^2 + 6x + 8

4 0

3 years ago

Pls answer i need answer fast

puteri [66]

Answer:

-24

Step-by-step explanation:

Given expression:

3z (2y - 4)²

z = -2 and y = 3

To solve this problem, simply substitute:

3z (2y - 4)² = 3(-2){2(3) - 4}²

= -6(6-4)²

= -6 (2)²

= -6 x 4

= -24

3 0

3 years ago

Read 2 more answers

How fast is the apple traveling when the kinetic energy is 32 joules?

Daniel [21]

Answer

The apple is traveling at 8 meters per second

Explanation

We have the equation that relates the kinetic energy with the velocty:

$K=\frac{v^2}{2}$

Then, to find thevelocity when the apple has 32, we replace K = 32 j:

$\begin{gathered} 32=\frac{v^2}{2} \\ 32\cdot2=v^2 \\ 64=v^2 \\ v=\sqrt{64}=8 \\ \end{gathered}$

Thus, the speed of the apple is 8meter per second

8 0

9 months ago

The net of a square pyramid is shown below: Net of a square pyramid showing 4 triangles and the square base. The square base has

Neko [114]

Given:

The dimensions:

Square pyramid

Square base: 2x2

1 out of 4 triangles: 1/2x2x5

4 triangles: 2x2x5

To find:

The SURFACE AREA of the square pyramid

Find answer:

Step 1

Find the area of the square base -

Square base:

SA = L x W

= 2 x 2

= 4

The surface area of the square is 4 square inches

Step 2

Find the area of the 4 Triangles:

We will use a different formula here, to find 1 triangle, we will have to do:

$SA = \frac{1}{2} *B*H$

To find 2 triangles, we will do:

$SA = B*H$

But to find 4 triangles in just 1 step, we will do:

$SA=2*B*H$

Let's do it!

$SA = 2*2*5\\=2*10\\=20$

The surface area of the 4 triangles are 20 square inches

Step 3

Add answers to get FINAL ANSWER

Easy!

20+4=24

<h2>Hence, the Surface Area of the Square Pyramid is 24 square inches</h2>

4 0

1 year ago