What expression represents the length of the rectangle ?

Solve the following question algebraically, show your work<br><br> 13 + w/7 <-(fraction) = -18

evablogger [386]

Solve for w: by simplifying both sides of the equation, then isolating the variable.

w=-217

Work: 1. Subtract 13 from both sides (w/7 = -18 - 13), 2.Simplify -18-13 to -31 (w/7=-31), 3.Multiply both sides by 7 (w = -31 * 7), 4. Simplify 31*7 to 217 (w=-217)

8 0

3 years ago

Which rectangle if reflected over the x-axis and then translated 8 units right will result in rectangle E?

Komok [63]

Answer:

Rectangle D is reflected over the x-axis and then translated 8 units right will result in rectangle E

Step-by-step explanation:

The coordinates of rectangle D are:

(-1, 1)

(-1, 4)

(-3, 1) and

(-3, 4)

The rule of reflection across x-axis is given by:

$(x, y) \rightarrow (x , -y)$

$(-1, 1) \rightarrow (-1 , -1)$

$(-1, 4) \rightarrow (-1 , -4)$

$(-3, 1) \rightarrow (-3 , -1)$

$(-3, 4) \rightarrow (-3 , -4)$

Next, translate this 8 unit right which is given by:

$(x, y) \rightarrow (x+8 , y)$

$(-1, -1) \rightarrow (-1+8 , -1) =(7, -1)$

$(-1, -4) \rightarrow (-1+8 , -4) =(7, -4)$

$(-3, -1) \rightarrow (-3+8 , -1) =(5, -1)$

$(-3, -4) \rightarrow (-3+8 , -4) =(5, -4)$

⇒(7, -1) , (5, -1) , (5, -4) and (7, -4) represents the coordinate of rectangle E.

Therefore, Rectangle D if reflected over the x-axis and then translated 8 units right will result in rectangle E

5 0

3 years ago

Read 2 more answers

If you hide 40$ per week under your mattress for 40 weeks, how much will you save

Kazeer [188]

Answer:

1600

Step-by-step explanation:

40*40

4 0

3 years ago

Jimmy deposits $4,500 into each of two savings accounts. Account 1 earns 5% annuy simple interest . Account 2 earns 5% interest

german

Answer:

Step-by-step explanation:

Considering account 1, we would apply the formula for determining simple interest which is expressed as

I = PRT/100

Where

I represents interest paid on the amount of money deposited.

P represents the principal or amount of money deposited.

R represents interest rate on the deposit.

T represents the duration of the deposit in years.

From the information given,

P = $4500

R = 5%

T = 4 years

Therefore,

I = (4500 × 5 × 4)/100

I = $900

Total amount in account 1 is

4500 + 900 = 5400

Considering account 2, we would apply the formula for determining compound interest which is expressed as

A = P(1 + r/n)^nt

Where

A = total amount in the account at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount deposited

From the information given,

P = $4500

r = 5% = 5/100 = 0.05

n = 1 because it was compounded once in a year.

t = 4 years

Therefore,

A = 4500(1 + 0.05/1)^1 × 4

A = 4500(1.05)^4

A = $5470

The sum of the balances of Account 1 and Account 2 at the end of 4 years is

5400 + 5470 = $10870

6 0

3 years ago

122 students choose to attend one of three after school activities: football, tennis or running. There are 66 boys. 46 students

Ierofanga [76]

Answer:

29/61

Step-by-step explanation:

okay, first imma simplify the question a little bit.

122 students; 46 chose football; 18 chose tennis; 28girls + xboys chose running.

okay now let's find the number of students who chose running

122 - 46 - 18 = 58

now, I'll find the probability

P(Running) = 58/122 = 29/61

Topic: Probability

If you like to venture further, feel free to check out my insta (learntionary). It would be best if you could give it a follow. I'll be constantly posting math tips and notes! Thanks!

5 0

3 years ago