Point G(−7, 4) is translated using the rule (x+10, y−6). What is the x-coordinate of G′ ?

Answers

Answer 1

Answer:

Answer:

x = 3

Step-by-step explanation:

The translation rule (x + 10, y - 6) means add 10 to the original x- coordinate and subtract 6 from the original y- coordinate, that is

G(- 7, 4) → G'(- 7 + 10, 4 - 6) → G'(3, - 2)

Related Questions

In ΔWXY, the measure of ∠Y=90°, XW = 25, YX = 24, and WY = 7. What is the value of the cosine of ∠W to the nearest hundredth?
A. 35/12B. 12/37C. 12/35D. 35/37
Determine if ΔABC and ΔFHG are similar. If so, write the similarity statement.options: A) The triangles are not similar B) ΔABC ∼ ΔHFG C) Impossible to determine. D) ΔABC ∼ ΔFHG
Is the answer a, b, c, or d.
Simplify the following Expression. 3 √ − 250 3 √-4 =

Write the products

6 tens =
9 tens =
12 tens=
10 elevens=

Answers

Answer:

see below

Step-by-step explanation:

6 tens = 6 * 10 = 60

9 tens =9* 10 = 90

12 tens=12 * 10 = 120

10 elevens=10 * 11 = 110

We expect a car’s highway gas mileage to be related to its city gas mileage (in mpg). Data for all 1209 1209 vehicles in the government’s 2016 Fuel Economy Guide give the regression line highway mpg = 7.903 + ( 0.993 × city mpg ) (a) What is the slope of this line? (Enter your answer rounded to three decimal places.)

slope:

What does the numerical value of the slope tell you?

Answers

Final answer:

The slope of the line is 0.993. A positive slope indicates a positive linear relationship between city mpg and highway mpg.

Explanation:

Slope of the line:

The slope of a regression line represents the change in the dependent variable (in this case, highway mpg) for a one-unit increase in the independent variable (city mpg).

In this equation, the slope is given by 0.993. This means that for every one-unit increase in city mpg, the highway mpg is expected to increase by 0.993 units.

Numerical value of the slope:

The positive numerical value of the slope indicates that there is a positive linear relationship between city mpg and highway mpg. This means that as the city mpg increases, the highway mpg also tends to increase.

Learn more about slope of a regression line here:

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Each side of a square is increasing at a rate of 4 cm/s. At what rate (in cm2/s) is the area of the square increasing when the area of the square is 25 cm2

Answers

Answer:

The area of the square is increasing at a rate of 40 square centimeters per second.

Step-by-step explanation:

The area of the square ( $A$ ), in square centimeters, is represented by the following function:

$A = l^(2)$ (1)

Where $l$ is the side length, in centimeters.

Then, we derive (1) in time to calculate the rate of change of the area of the square ( $(dA)/(dt)$ ), in square centimeters per second:

$(dA)/(dt) = 2\cdot l \cdot (dl)/(dt)$

$(dA)/(dt) = 2\cdot √(A)\cdot (dl)/(dt)$ (2)

Where $(dl)/(dt)$ is the rate of change of the side length, in centimeters per second.

If we know that $A = 25\,cm^(2)$ and $(dl)/(dt) = 4\,(cm)/(s)$ , then the rate of change of the area of the square is:

$(dA)/(dt) = 2\cdot \sqrt{25\,cm^(2)}\cdot \left(4\,(cm)/(s) \right)$

$(dA)/(dt) = 40\,(cm^(2))/(s)$

The area of the square is increasing at a rate of 40 square centimeters per second.

Wendell’ Plumbing Supply sold metal piping at $36.50 per 15 yard length. What would75.4 meter of piping cost? 1.0 meter = 1.09 yards

Answers

The answer would be $198.93

WXYZ is a parallelogram. Name an angle congruent to ∠WZY.

Answers

Answer:

Angle congruent to ∠WZY is ∠WXY

If f(x) = 2 - x and g(x) = x^2+ x, find each value.. g(3)

. F(m)

. F (1)+g(2)

. F(11)

Answers

Answer:

Step-by-step explanation:

3x + 5y = 7

Since that is our original form, let's convert it so that we can find the slope:

5y = -3x + 7

y = -3/5 x + y

To get a perpendicular line, we need the negative reciprocal of the slope. This means that the sign switches and numerator and denominator flip:

m = 5/3

From here, we use the point-slope equation and then convert that into slope-intercept form:

y - y1 = m(x - x1)

y - 6 = 5/3(x - 0)

y - 6 = 5/3x

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mimi read 1/4 of a book on wednesday. she read 82 more pages on thursday, and she finished the book on friday by reading the last 98 pages. how many pages were in mimi's book.