Express the area A of a rectangle as a function of the length x if the length of the rectangle is twice its width.

Answers

Answer 1

Answer: A = L x W
L = x
L = 2 W
W = L/2 = x/2
A = x * x / 2
A = x² / 2
Answer:
The area of a rectangle is x²/2.

Answer 2

Answer: The function is 2/3 and 4/28

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5. Which number is irrational? 3 (1) V16 (2) V12 (3) (4) 0.50

Answers

Answer:

(3)√12

Step-by-step explanation:

The other numbers are not continuous

Solve the compound inequality. y - 3 > 5 OR y + 3 < -2

Answers

Answer: y < -5 or y > 8

Step-by-step explanation:

$y-3>5\quad \text{or}\quad y+3<-2\n\underline{\ \ \ +3}\ \underline{\ +3}\qquad \underline{\quad \ \ -3}\ \underline{\ \ \ -3}\ny\quad \ \ >8\quad \text{or}\quad y\quad \ \ <-5$

Graph: ←---------o -1 8 o------------→

Interval Notation: (-∞, -5) ∪ (8, ∞)

9. Nick has desigied a diamond-shaped kite as shown below. The measures of so me sides of the kite, are marked in thefigure. Find the value of x (JUSTIFY)

Answers

Answer:

$x=(10√(6))/(7)\ in$

Step-by-step explanation:

step 1

In the right triangle DOC

Find the measure of side DO

Applying the Pythagoras Theorem

$DC^(2)=DO^(2)+OC^(2)$

substitute the given values

$7^(2)=DO^(2)+5^(2)$

$DO^(2)=7^(2)-5^(2)$

$DO^(2)=49-25$

$DO^(2)=24$

$DO=2√(6)\ in$

step 2

In the right triangle DOC

Find the sine of angle ∠ODC

sin(∠ODC)=OC/DC

substitute

$sin(ODC)=5/7$ -----> equation A

step 3

In the right triangle DOP

Find the sine of angle ∠ODP

sin(∠ODP)=OP/DO

substitute

$sin(ODP)=x/2√(6)$ -----> equation B

step 4

Find the value of x

In this problem

∠ODC=∠ODP

equate equation A and equation B

$5/7=x/2√(6)$

$x=(10√(6))/(7)\ in$

Is 2:3 abd 4:6 equivalent ratios

Answers

Yes they are. You can simplify 4:6 by dividing by 2 and get 2:3.

If one train leaves every 40 mins and another leaves every 30 mins and they both leave at 7, when is the next time they will both leave together

Answers

Answer: both trains will leave together is at 7:00 AM + 120 minutes = 9:00 AM.

Step-by-step explanation:

Segment VU is 2 units and segment VꞌUꞌ is 4units.Which scale factor was used to dilate figure TUVW to produce similar figure TꞌUꞌVꞌWꞌ?

Answers

In the figure the segment both VU and V'U' are horizontal, so the segment VU was scaled by a factor of 2 to dilate it and get the segment V'U'.

You can check that the same factor was used for all the segments to obtain a similar figure.

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