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Lera25 [3.4K]
2 years ago
12

Use each method to solve system of linear equation. Show your solution.

Mathematics
1 answer:
Sphinxa [80]2 years ago
4 0

Answer:

x=-1 y =-1

Step-by-step explanation:

multiply equation 1 with (-2)

+6x-2y=-14

5x+2y=3

now add equation 1 to equation 2

11x=-11

x=-1

now substitute x=1 in 1 or 2

5(1)+2y=3 5+2y=3 2y=3-5 2y= -2 y= -1

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Y=2x^5+14 is a linear equation.<br> a. true<br> b. false
stich3 [128]

Answer:

false

Step-by-step explanation:

A linear equation has x to the first power

or of the form x plus a constant

This has x to the fifth power so it is not linear

8 0
2 years ago
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The table represents a linear function. <br><br> What is the slope of the function?
otez555 [7]

Answer:

-6

Step-by-step explanation:

The slope of a line is given with the formula

m=\frac{y_2-y_1}{x_2-x_1}

Using the first two points, (-2, 8) and (-1, 2), we have

m = (2-8)/(-1--2) = -6/(-1+2) = -6/1 = -6

4 0
3 years ago
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A circular garden has a circumference of 138 yards. Lars is digging a straight line along a diameter of the garden at a rate of
PilotLPTM [1.2K]

Answer:

  • 4 hours

Step-by-step explanation:

<u>Circumference formula:</u>

  • C = πd

<u>Use the given value and find the diameter:</u>

  • 138 = 3.14d
  • r = 138/3.14
  • r = 43.94 ≈ 44 yards

<u>Time required to dig across the garden:</u>

  • 44/11 = 4 hours
6 0
2 years ago
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The Saxena family plans to install a light to illuminate part of their rectangular yard. Nikki and Dylan each proposed a differe
monitta

Options:

a. Nikki's proposed placement will light a greater area than Dylan's placement.

b.  Dylan's proposed placement will light a greater area than Nikki's placement.

c.  Both proposed placements will light the same sized area.

d. Nikki's proposed placement will light more than half the yard.

e. Dylan's proposed placement will light more than half the yard.

f.  Dylan's proposed placement will light exactly half of the yard.

g. Nikki's proposed placement will light less than half of the yard.

Answer:

C) Both proposed placements will light the same sized area.

F) Dylan's proposed placement will light exactly half of the yard.

Step-by-step explanation:

The area of a triangle is (base x height) / 2, and both lights illuminate the same base and height = (60 x 38) / 2 = 1,140 sq ft

Both Dylan's and Nikki's proposed placement will lit exactly half of the yard. The yard's total area = 60 x 38 = 2,280 sq ft, which is twice the area lit by the lights.

3 0
2 years ago
The cylinder and the sphere below have the same radius and the same volume. What is the height of the cylinder?
lyudmila [28]

Answer:

Height of cylinder (h) = (4/3)R

Step-by-step explanation:

Given:

Radius of cylinder (r1) = R

Height of cylinder (h) = H

Radius of sphere (r2) = R

Volume of cylinder = volume of sphere

Find:

Height of cylinder (h) = H = ?

Computation:

Volume\ of\ cylinder = volume\ of\ sphere\\\\ \pi (r1)^2h =\frac{4}{3} \pi (r2)^3\\\\\pi (R)^2h =\frac{4}{3} \pi (R)^3\\\\ h=\frac{4}{3}  (R)

Height of cylinder (h) = (4/3)R

4 0
3 years ago
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