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2 years ago

State the two transformations in the attachment below please be specific!! HELP QUICK!!

Mathematics

1 answer:

Sergio039 [100]2 years ago

7 0

Answer:

Translate 3 to the right and 12 down.

Dilate using point C and a scale factor of 3

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1 Hector puts a fence around his rectangular

prisoha [69]

Answer:

48 feet of fence

Step-by-step explanation:

A rectangle has 4 sides, the parallel sides are equal to each other in length.

If Hector used 14 feet of fence on the long side, he used 28 feet in total for both long sides.

If Hector used 10 feet for the width/short side, he used 20 feet in total for both short sides.

Put simply: (14 x 2) + (10 x 2) = 48 feet of fence in total

4 0

3 years ago

Find the value of k so that 48x-ky=11 and (k+2)x+16y=-19 are perpendicular lines.

Rufina [12.5K]

Answer: k = -1 +/- √769

Step-by-step explanation:

48x - ky = 11

-48x -48x

-ky = -48x + 11

$\frac{-ky}{-k} = \frac{-48x}{-k} + \frac{11}{-k}$

$y =\frac{48x}{k} - \frac{11}{k}$

Slope: $\frac{48}{k}$

*************************************************************************

(k + 2)x + 16y = -19

- (k + 2)x -(k + 2)x

16y = -(k + 2)x - 19

$\frac{16y}{16} = -\frac{(k + 2)x}{16} - \frac{19}{16}$

$y = -\frac{(k + 2)x}{16} - \frac{19}{16}$

Slope: $-\frac{(k + 2)}{16}$

**********************************************************************************

$\frac{48}{k}$ and $-\frac{(k + 2)}{16}$ are perpendicular so they have opposite signs and are reciprocals of each other. When multiplied by its reciprocal, their product equals -1.

$-\frac{(k + 2)}{16}$ * $\frac{k}{48}$ = -1

$\frac{(k + 2)k}{16(48)}$ = 1

Cross multiply, then solve for the variable.

(k + 2)(k) = 16(48)

k² + 2k - 768 = 0

Use quadratic formula to solve:

k = -1 +/- √769

5 0

3 years ago

2 magazines weigh 7/8 pounds what is the unit rate for pounds per magazine

KATRIN_1 [288]

For : " 2 magazines weigh 7/8 pounds what is the unit rate for pounds per magazine " The answer is : Each magazine weighs an overall total of 3.5/8 pounds.

7 0

3 years ago

Read 2 more answers

On a test that has a normal distribution, a score of 19 falls one standard deviation below the mean, and a score of 40 falls two

nexus9112 [7]

Hi there!

We can use the following equation:

$\large\boxed{z = \frac{x-\mu}{\sigma}}$

z = amount of standard deviations away a value is from the mean (z-score)

σ = standard deviation

x = value

μ = mean

Plug in the knowns for both and rearrange to solve for the mean:

$-1 = \frac{19-\mu}{\sigma}\\\\-\sigma = 19 - \mu\\\\ \sigma = -19 + \mu$

Other given:

$2 = \frac{40-\mu}{\sigma}\\\\2\sigma = 40- \mu\\\\ \sigma = 20 - \frac{\mu}{2}$

Set both equal to each other and solve:

$-19 + \mu = 20 - \frac{\mu}{2}\\\\\frac{3\mu}{2} = 39 \\\\3\mu = 78 \\\\\boxed{\mu = 26 }$

5 0

2 years ago

Solve: |x+2|=3 Can someone explain how to do this

katovenus [111]

Hey there!

ORIGINAL EQUATION:
|x + 2| = 3

TRANSLATE:

x + 2 = 3 or x + 2 = -3

SOLVING for: x + 2 = 3

SUBTRACT 2 to BOTH SIDES

x + 2 - 2 = 3 - 2

CANCEL out: 2 - 2 because it give you 1

KEEP: 3 - 2 because help solve for the current x-value

NEW EQUATION: x = 3 - 2

SIMPLIFY IT!
x = 1

Thus, your answer is: x = 2

/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\

SOLVING for: x + 2 = -3

SUBTRACT 2 to BOTH SIDES

x + 2 - 2 = -3 - 2

CANCEL out: 2 - 2 because it give you 0

KEEP: -3 - 2 because it help solve for the current x-value

NEW EQUATION: x = -3 - 2

SIMPLIFY IT!
x = -5

Thus, your answer is: x = -5

/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\

Therefore, your answer is: x = 1 or x = -5

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

6 0

2 years ago