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denis23 [38]
3 years ago
6

Point k lies at (-3,4) Image

Mathematics
1 answer:
Aleksandr [31]3 years ago
7 0

Answer:

k(x,y) --> k'(x,y-7)

Step-by-step explanation:

Given

k = (-3,4)

Translation: 7 units down

Required

Determine the rule to produce k'

When an (x,y) coordinate is translated down by h units, the resulting point is:

(x,y) --> (x, y - h)

In this case:

h = 7

So, we have:

k(x,y) --> k'(x,y-7)

Hence, option A answers the question.

Solving further to determine the coordinates of k'.

k = (-3,4)

k' = (-3,4-7)

k' = (-3,-3)

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Gerardo has just invested in a bond worth $470 that is expected to increase in value by 6% per year. Write the equation used to
Viefleur [7K]

Answer:

Step-by-step explanation:

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 = $470

r = 6% = 6/100 = 0.06

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

Therefore, the equation used to determine the value of his bond after t years is

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3 0
4 years ago
3. Rewrite -2x + 3y = 6 in slope intercept form.​
zaharov [31]

The equation in slope-intercept form is:

y=\frac{2}{3}x+2

Further explanation:

The standard slope-intercept form is:

y=mx+b

Given equation is:

-2x+3y=6

In order to bring the equation in slope-intercept form we have to isolate y on left hand side of equation

So,

<u>Adding 2x on both sides</u>

-2x+3y+2x=6+2x\\3y=2x+6

<u>Dividing both sides by 3</u>

\frac{3y}{3}=\frac{2x+6}{3}\\y=\frac{2x+6}{3}

<u>Simplifying</u>

y=\frac{2x+6}{3}\\y = \frac{2x}{3}+\frac{6}{3}\\y=\frac{2}{3}x+2

The equation in slope-intercept form is:

y=\frac{2}{3}x+2

Keywords: Slope-intercept form, linear equation

Learn more about slope-intercept form at:

  • brainly.com/question/12954015
  • brainly.com/question/1979240

#learnwithBrainly

4 0
3 years ago
In the figure below, the two triangular faces of the prism are fight triangles with sides of length 3, 4, and 5. The other three
olasank [31]
The figure of the prism is attached below.

The total surface area of the prism equals the sum of areas of two triangles and the three rectangles.

Surface Area of Prism = Area of 2 Triangles + Area of 3 Rectangles.

Area of a Triangle = 0.5 x Base x Height
Area of a Triangle = 0.5 x 3 x 4 = 6 square units

There are 3 rectangles. From the figure we can see that the bottom most rectangle has the dimensions 4 by 6. The left most rectangle has the dimensions 3 x 6 and the right most rectangle has the dimensions 5 by 6.

So, the Area of 3 rectangles will be = (4 x 6) + (3 x 6) + (5 x 6) = 72 square units

The Surface Area of the prism will be:

Surface Area = 2 (4) + 72 = 84 square units

Thus the correct answer is option A

6 0
3 years ago
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