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3 years ago

H (4, -8) is the pre-image. What is the new prime image after a dilation with a scale factor of 1/2?

Mathematics

1 answer:

Marina CMI [18]3 years ago

8 0

Answer:

(2, -4)

Step-by-step explanation:

The scale factor is the number used to multiply the pre-image coordinates.

The image of the point (4, -8) is (2, -4). Each coordinate is 1/2 the corresponding coordinate in the pre-image.

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Y = −(x + 4)2 − 7 vertex

ICE Princess25 [194]

Answer:

The vertex (h,k) is (-4,-7).

Step-by-step explanation:

I assume you are looking for the vertex $y=-4(x+4)^2-7$ .

The vertex form of a quadratic is $y=a(x-h)^2+k$ where the vertex is (h,k) and a tells us if the parabola is open down (if a<0) or up (if a>0). a also tells us if it is stretched or compressed.

Anyways if you compare $y=-4(x+4)^2-7$ to $y=a(x-h)^2+k$ , you should see that $a=-4,h=-4,k=-7$ .

So the vertex (h,k) is (-4,-7).

3 0

3 years ago

Read 2 more answers

2. through: (8,5), perpendicular to y=-1/2x +4

SCORPION-xisa [38]

Perpendicular slope: flip sign and reciprocal = 2
Y = 2x + b
Plug in point (8,5)
5 = 2(8) + b
5 = 16 + b
b = -11
Equation: y= 2x - 11

7 0

3 years ago

How to solve 4(5x-7)=10x+2

Whitepunk [10]

To solve:
Distribute the 4 to the 5x and –7 by MULTIPLYING.

4(5x)=20x + 4(–7)=–28

20x-28=10x+2 is your new equation.

Subtract 10x from BOTH SIDES to isolate your variable, "x".
20x-10x=10x
10x-10x=0

10x-28=2 is your new equation.

Add 28 to BOTH SIDES to isolate your variable more.
–28+28=0
2+28=30

10x=30 is your new equation.

Finally, DIVIDE both sides by 10 to finish isolating the variable.
10x/10=x
30/10=3

x=3 is your FINAL, SIMPLIFIED answer.

5 0

3 years ago

What is the difference of the fractions? Use the number line to help find the answer

alisha [4.7K]

Answer:

-7/10

Explanation:

Given the expression

$\frac{1}{2}-1\frac{1}{5}$

We can rewrite the expression as:

$\frac{1}{2}-\frac{6}{5}=\frac{5}{10}-\frac{12}{10}$

The number line showing the location of the two numbers is attached below. Therefore:

$\frac{5}{10}-\frac{12}{10}=-\frac{7}{10}$

7 0

1 year ago

Allowance method entries

Feliz [49]

Using the Allowance Method, the relevant transactions can be completed in the books of Wild Trout Gallery as follows:

1. Allowance for Doubtful Accounts

Accounts Debit Credit

Jan. 1 Beginning balance $53,800

Jan. 19 Accounts Receivable 2,560

Apr. 3 Accounts Receivable $14,670

July 16 Accounts Receivable 19,725

Nov. 23 Accounts Receivable 4,175

Dec. 31 Accounts Receivable 25,110

Dec. 31 Ending balance $56,500

Dec. 31 Bad Debts Expenses $55,470

Totals $116,005 $116,005

Accounts Receivable

Accounts Debit Credit

Jan. 1 Beginning balance $2,290,000

Jan. 19 Allowance for Doubtful 2,560

Jan. 19 Cash $2,560

Apr. 3 Allowance for Doubtful 14,670

July 16 Allowance for Doubtful 19,725

July 16 Cash 6,575

Nov. 23 Allowance for Doubtful 4,175

Nov. 23 Cash 4,175

Dec. 31 Allowance for Doubtful 25,110

Dec. 31 Sales Revenue 8,020,000

Dec. 31 Cash $8,944,420

Dec. 31 Ending balance $1,299,500

Totals $10,316,735 $10,316,735

3. Expected net realizable value of the accounts receivable as of December 31 = $1,243,000 ($1,299,500 - $56,500)

Allowance for Doubtful Accounts ending balance = $40,100 ($8,020,000 x 0.5%)

Allowance for Doubtful Accounts

Accounts Debit Credit

Jan. 1 Beginning balance $53,800

Jan. 19 Accounts Receivable 2,560

Apr. 3 Accounts Receivable $14,670

July 16 Accounts Receivable 19,725

Nov. 23 Accounts Receivable 4,175

Dec. 31 Accounts Receivable 25,110

Dec. 31 Ending balance $40,100

Dec. 31 Bad Debts Expenses $39,070

Totals $99,605 $99,605

4. a. Bad Debt Expense for the year = $39,070

4.b. Balance for Allowance Accounts = $40,100

4.c. Expected net realizable value of the accounts receivable = $1,259,400 ($1,299,500 - $40,100)

Data Analysis:

Jan. 19 Accounts Receivable $2,560 Allowance for Uncollectible Accounts $2,560

Jan. 19 Cash $2,560 Accounts Receivable $2,560

Apr. 3 Allowance for Uncollectible Accounts $14,670 Accounts Receivable $14,670

July 16 Cash $6,575 Allowance for Uncollectible Accounts $19,725 Accounts Receivable $26,300

Nov. 23 Accounts Receivable $4,175 Allowance for Uncollectible Accounts $4,175

Nov. 23 Cash $4,175 Accounts Receivable $4,175

Dec. 31 Allowance for Uncollectible Accounts $25,110 Accounts Receivable $25,110

Accounts Receivable ending balance = $1,299,500

Allowance for Uncollectible Accounts ending balance = $56,500

Learn more: brainly.com/question/22984282

4 0

3 years ago