Distance measured in miles distance measured in yards 1 5

Which of the following describes all the solutions to the inequality 5x+7y=22 when y=-4

Kryger [21]

Substitute...
5x + 7(-4) = 22
5x - 28 = 22
+ 28 + 28
5x = 50
__ ___
5 5

x = 10

4 0

3 years ago

Tina wants to build a garden in her backyard. She knows that the area of the section of the backyard she will be using is x^2-4x

Step2247 [10]

The area (A) of a rectangle is calculated by multiplying the length (L) and the width (W). In order for us to determine the possible dimensions of the section (or sides) of the rectangle, we have to factor the given area.
x² - 4x - 45
(x - 9)(x + 5)

<em>Thus, the possible dimensions of the rectangle are x-9 and x+5</em>.

3 0

3 years ago

Find the value of s.<br>1s + 14 = 26

belka [17]

Answer:

$12$

Step-by-step explanation:

$1s + 14 = 26\\ 1s = 26 - 14 \\ 1s = 12 \\ \\ s = \frac{12}{1} \\ \\ s = 12$

Thus, The Value Of S is 12

4 0

2 years ago

Read 2 more answers

You run one lap around a mile track every 8 minutes. Your friend runs around the same track every 10 minutes. You both start at

Ber [7]

Answer:

Step-by-step explanation:

first runs n+1 laps

and second runs n laps in the same time.

so (n+1)8=10n

10n=8n+8

10n-8n=8

2n=8

n=8/2=4

one lap=1 mile

4 laps=4 miles

4+1=5 laps=5 miles.

first runs 5 miles whereas second runs=4 miles.

3 0

3 years ago

Read 2 more answers

A discuss moves from P1 (4,8) to P2 (15,17). What is the lincar displacement in the horizontal and vertical directions? What is

Yakvenalex [24]

Answer:

The horizontal displacement is 11 units, the vertical displacement is 9 units, and the projection angle is 39.3 degrees.

Step-by-step explanation:

We can start using the definition of displacement in one dimension between any 2 points which is the difference between them, so we have

$\Delta s = s_2-s_1$

And apply it to get the horizontal and vertical displacements.

Once we have found them, we can use trigonometric functions to find the projection angle with respect the horizontal.

Linear displacements.

Using the definition of displacement, we can write the horizontal displacement as

$\Delta x = x_2-x_1$

So we can use the given points $P1:(x_1,y_2) \text{ and } P_2: (x_2,y_2)$ on the displacement formula

$\Delta x = 15-4\\\Delta x = 11$

In the same manner we can look at the y components of those points to find the vertical displacement

$\Delta y = 17-8\\\Delta y =9$

Thus the horizontal displacement is 11 units and the vertical displacement is 9 units.

Projection angle.

The projection angle with respect the horizontal is the angle that is made between the line that connects the points P1 and P2 and the horizontal, so we can use the linear displacements previously found to write

$\tan(\theta) = \cfrac{\Delta y}{\Delta x}$

Solving for the angle we get

$\theta = \tan^{-1}\left(\cfrac{\Delta y}{\Delta x}\right)$

Replacing values

$\theta = \tan^{-1}\left(\cfrac{9}{11}\right)$

Which give us

$\theta = 39.3^\circ$

So the projection angle is 39.3 degrees.

7 0

3 years ago