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2 years ago

8

A rectangular parking lot has a perimeter of 232 feet. The length of the parking lot is 36 feet less than with. Find the length

and width

1 answer:

Ainat [17]2 years ago

7 0

Answer:

Length: 80 feet

Width: 36 feet

Step-by-step explanation:

232/2 = 116

116-36 = 80

(i.e. 80+80+36+36=232)

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Given g(x) = x2 + 3x - 19, find g(-2)

BlackZzzverrR [31]

Answer:

-4 + -6 -19

-10 -19

-29

5 0

2 years ago

If 2x2 + y2 = 17 then evaluate the second derivative of y with respect to x when x = 2 and y = 3. Round your answer to 2 decimal

Vera_Pavlovna [14]

Answer:

y''=-1.26

Step-by-step explanation:

We are given that $2x^2+y^2=17$

We have evaluate the second order derivative of y w.r.t. x when x=2 and y=3.

Differentiate w.r.t x

Then , we get

$4x+2yy'=0$

$2x+yy'=0$

$yy'=-2x$

$y'=-\frac{2x}{y}$

Again differentiate w.r.t.x

Then , we get

$2+(y')^2+yy''=0$ $(u\cdot v)'=u'v+v'u)$

$2+(y')^2+yy''=0$

Using value of y'

$yy''=-2-(-\frac{2x}{y})^2$

$y''=-\frac{2+(-\frac{2x}{y})^2}{y}$

Substitute x=2 and y=3

Then, we get $y''=-\frac{2+(\frac{4}{3})^2}{3}$

$y''=-\frac{18+16}{9\times 3}=-\frac{34}{27}$

Hence,y''=-1.26

6 0

2 years ago

3 lines are shown. A line with points T, R, W intersects with a line with points S, R, V at point R. Another line extends from p

Marrrta [24]

Answer:

The vertical angles are ∠ WRS and ∠ VRT ⇒ 2nd answer

Step-by-step explanation:

* <em>Lets explain the meaning of the vertical angles</em>

- Vertical angles are the angles opposite to each other when two lines

are intersected

- The vertical angle are equal in measures

- <em>Look to attached figure which represents the lines </em>

∵ Line TW intersects line SV at R

∴ ∠ WRV and ∠ SRT are vertical angle

∴ <u><em>∠ WRS and ∠ VRT</em></u> are vertical angle

∵ RU is between the rays of angle VRW

∴ RU intersects the lines TW and SV at R

∴ No vertical angles between RU and the other two lines because

it intersects them its endpoint R

* <em>Now lets look to the answer to chose the right one</em>

- ∠ WRU and ∠ SRT are not vertical angles

- <em><u>∠ WRS and ∠ VRT are vertical angles </u></em>

- ∠ VRU and ∠ TRS are not vertical angles

- ∠ VRT and ∠ SRT are not vertical angles

4 0

2 years ago

Read 2 more answers

Write 12,430,090in expanded form

stira [4]

10,000,000+2,000,000+
400,000+30,000+90

7 0

2 years ago

Which of the following proportions can be used to prove AE || DK in the proof below? Select all that apply.

Galina-37 [17]

Answer: DA:FA=KE:EF, DF:DA=KF:KE and FA:DA=EF:KE are correct.

Explanation: Since, $\triangle EFA$ and $\triangle KFD$ are similar triangles.

Because, $\angle FAE= \angle FDK$ and $\angle FEA= \angle FKD$ (because EA and KD are parallels. And, $\angle F$ is common angle for these triangles.

Therefore, according to the property of similar triangles.

FE:EK= FA:AD, FE:FK=FA:FD and DF:DA=KF:KE .

Thus, first, second and third options are correct.

5 0

2 years ago

Read 2 more answers