All categories

4 years ago

Please help me with this question :) thanks.

Mathematics

1 answer:

vova2212 [387]4 years ago

6 0

Answer:

(-7,2)

Step-by-step explanation:

The point (7,-2) when reflected across the x-axis becomes (7, 2). When it is reflected across the y-axis it becomes (-7,2). You can find this because when a point is reflected across the x-axis, its y-coordinate changes its sign. The same is true when reflected across the y-axis. It's x coordinate changes its sign.

A double reflection across both axis changes the sign of each coordinate.

You might be interested in

Triangle ABC has vertices at A(2,3),B(-4,-3) and C(2,-3) find the coordinates of each point of concurrency.

dem82 [27]

Answer:

Circumcenter =(-1,0)

Orthocenter =(2,-3)

Step-by-step explanation:

Given : Points A = (2,3), B = (-4,-3), C = (2,-3)

Formula used :

→Mid point of two points- $(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$

→Slope of two points - $\frac{y_2-y_1}{x_2-x_1})$

→Perpendicular of a line = $\frac{-1}{slope of line})$

Circumcenter- The point where the perpendicular bisectors of a triangle meets.

Orthocenter-The intersecting point for all the altitudes of the triangle.

To find out the circumcenter we have to solve any two bisector equations.

We solve for line AB and AC

So, mid point of AB = $(\frac{2-4}{2},\frac{3-3}{2})=(-1,0)$

Slope of AB = $\frac{-3-3}{-4-2}=1$

Slope of the bisector is the negative reciprocal of the given slope.

So, the slope of the perpendicular bisector = -1

Equation of AB with slope -1 and the coordinates (-1,0) is,

(y – 0) = -1(x – (-1))

y+x=-1………………(1)

Similarly, for AC

Mid point of AC = $(\frac{2+2}{2},\frac{3-3}{2})=(2,0)$

Slope of AC = $\frac{-3-3}{2-2}=\frac{-6}{0}$

Slope of the bisector is the negative reciprocal of the given slope.

So, the slope of the perpendicular bisector = 0

Equation of AC with slope 0 and the coordinates (2,0) is,

(y – 0) = 0(x – 2)

y=0 ………………(2)

By solving equation (1) and (2),

put y=0 in equation (1)

y+x=-1

0+x=-1

⇒x=-1

So the circumcenter(P)= (-1,0)

To find the orthocenter we solve the intersections of altitudes.

We solve for line AB and BC

So, mid point of AB = $(\frac{2-4}{2},\frac{3-3}{2})=(-1,0)$

Slope of AB = $\frac{-3-3}{-4-2}=1$

Slope of the bisector is the negative reciprocal of the given slope.

So, the slope of CF = -1

Equation of AB with slope -1 and the coordinates (-1,0) gives equation CF

(y – 0) = -1(x – (-1))

y+x=-1………………(3)

Similarly, mid point of BC = $(\frac{-4+2}{2},\frac{-3-3}{2})=(-1,-3)$

Slope of AB = $\frac{-3+3}{-4-2}=0$

Slope of the bisector is the negative reciprocal of the given slope.

So, the slope of AD = 0

Equation of AB with slope 0 and the coordinates (-1,-3) gives equation AD

(y-(-3)) = 0(x – (-1))

y+3=0

y=-3………………(4)

Solve equation (3) and (4),

Put y=-3 in equation (3)

y+x=-1

-3+x=-1

x=2

Therefore, orthocenter(O)= (2,-3)

7 0

3 years ago

The length of a rectangle is 3 times its width. If the length were increased by 2 inches and the width by 1 inch, the new perime

Dennis_Churaev [7]

Pretty sure it’s the second option because length would be 3w+2
and width would be w+1 and with area you have to multiply so it would just be the (w+1)(3w+2)

5 0

3 years ago

Read 2 more answers

Four students were discussing how to find the unit rate for a proportional relationship. Which method is valid? “Look at the gra

AlladinOne [14]

The correct answer is: [A]: " Look at the graph of the relationship. Find the y-value of the point that corresponds to x = 1 . That value is the unit rate."

<h3>What is y-value?</h3>

The vertical value in a pair of coordinates. How far up or down the point is. The Y Coordinate is always written second in an ordered pair of coordinates (x,y) such as (12,5). Also called "Ordinate".

Here, The "y-axis" is located on the "vertical axis" that represents the "dependent variable" (or, at times, the "control value") that cannot be "manipulated" / controlled/ or "selected" / since it represents the "y-value" of the corresponding coordinate to which the "x-value" happens to corresponds to at the given value for "x" .

Thus, the correct answer is: [A]: " Look at the graph of the relationship. Find the y-value of the point that corresponds to x = 1 . That value is the unit rate."

Learn more about Y-value from:

brainly.com/question/3319387

#SPJ1

8 0

2 years ago

What is the APR of a payday loan for $1460 due in 15 days that charges a $90 fee?

Tema [17]

Charge per day = $90 / 15 = $ 6
<span>Charge per year = $ 6 * 365 1/4 ( If the year contains 365 1/4 days) </span>
<span>= $ 2191.5 </span>
<span>As a percentage = 2191.5 / 1460 * 100 = 150 %
So the answer should be 150%</span>

5 0

3 years ago

Read 2 more answers

Rueben has scored 81 , 89 , 90 , 83 , and 77 on his previous five tests. what score does he need on his next test so that his av

lawyer [7]

Let x = the next score

If (81 + 89 + 90 + 83 + 77 + x) ÷ 6 = 82

⇒ 420 + x = (82 × 6)

⇒ x = 492 - 420

x = 72

Thus to get an 82 average he need to get 72 on his next test.

7 0

4 years ago