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3 years ago

What type of transformation? (X,y) (x + 7, -y -6)

Mathematics

1 answer:

soldi70 [24.7K]3 years ago

5 0

Answer:

Translate right 7 units (x+7)

Reflect over x-axis (-y) and translate down 6 units (-y - 6)

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Which equation can be used to determine the distance between the origin and (-2, -4)?

sveticcg [70]

$~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-2}~,~\stackrel{y_1}{-4})\qquad \underset{origin}{(\stackrel{x_2}{0}~,~\stackrel{y_2}{0})}\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{[0 - (-2)]^2 + [0 - (-4)]^2}$

7 0

3 years ago

the ages of sari and justin can be represented as two consecutive integers. The product of their age is 72. Justin is older. wri

Lelechka [254]

The age of Sari is 8 years.

The age of Justin is 9 years.

Explanation:

Let x denote the age of Justin.

Let y denote the age of Sari.

Given that the product of their age is 72.

Thus, it can be written in equation as

$xy=72$

Since, the numbers x and y are consecutive integers and Justin is older, then, it can be written as,

$x=y+1$

Therefore, the two equations are $xy=72$ and $x=y+1$

The ages of Sari and Justin:

The ages of Sari and Justin can be determined by solving the two equations.

Let us solve the equations using substitution method.

Substituting $x=y+1$ in the equation $xy=72$ , we have;

$(y+1)y=72$

$y^2+y=72$

$y^2+y-72=0$

Factoring the equation, we get;

$(y-8)(y+9)=0$

$y=8 \ or \ y=-9$

The value of y cannot be negative.

Thus, $y=8$ is the value of y.

Substituting $y=8$ in the equation $x=y+1$ , we have;

$x=8+1$

$x=9$

Thus, the value of x is 9.

Therefore, the age of Sari is 8 years and the age of Justin is 9 years.

5 0

3 years ago

A line segment has endpoints at (-4,-1) and (2,4). What are the coordinates of the midpoint of this line segment? A. (-1.5,2) B.

Natalka [10]

Answer:

B (-1, 1.5)

Step-by-step explanation:

Add the x coordinates together and divide by 2: (-4 + 2) = -2/2 = -1.

The only option with (-1) as an x-coordinate is B, and that is the answer.

7 0

3 years ago

Read 2 more answers

Simplify. 6^2+15 A. 21 B. 27 C. 46 D. 51

sweet-ann [11.9K]

Answer:

D. 51

Explanation:

This question's it's about the order of operations. P-parenthesis, E-exponents, M-multiply, D-divide, A-add, and S-subtract. It can also go left to right.

First, do exponents.

$6^2=6*6=36$