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Softa [21]
3 years ago
5

The vertices of ABC are A(-3,5), B(-2,3), and C(-5,3). If ABC is reflected across the y-axis to produce the image A'B'C', find t

he coordinate of the vertex C'.
Mathematics
1 answer:
Nat2105 [25]3 years ago
7 0

Answer:

C' =(5,3)

Step-by-step explanation:

Given

A = (-3,5)

B = (-2,3)

C = (-5,3)

Reflection across y-axis

Required

Find C'

For reflection across y-axis, the rule is:

(x,y) \to (-x,y)

So, the image of C is:

(-5,3) \to (-(-5),3)

(-5,3) \to (5,3)

Hence:

C' =(5,3)

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Natasha wants to find out if the neighborhood supports lowering the speed limit on the street in front of her school. Which is a
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8 0
2 years ago
What is the equation of a line with a slope of -2 that passes through the point (-2,12)?
slavikrds [6]

Answer:

y=-2x + 8 which is the required equation

Which is option C

Step-by-step explanation:

Given:

Slope = m = -2

Given points are ( -2,12)

Which is

x = -2 and y =12

TO find:

Equation of line passing through these points = ?

Solution:

The point slope form of a line is

y = mx + c

Here we don't know the value of c

To find it

Putting y = 12 , x= -2 and y = -2 in the given equation

y = mx + c

Putting values it becomes

12 = (-2)*(-2) + c

12 = 4 + c

Subtracting 4 from both sides

12-4 = 4 -4 + c

8 = c

Now we have

m = -2 and c= 8

So equation of a line is given by

y = mx + c

Putting value of m and c

y = -2*x + 8

y=-2x + 8 which is the required equation


7 0
3 years ago
Read 2 more answers
Find the value of x in kite EFGH<br>​
kolbaska11 [484]

Answer:

x = 105

Step-by-step explanation:

the sum of all interior angles of any four-sided figure has 360 degrees

∡F and ∡H are equal

add all four expressions and set them equal to 360

x + (x + 5) +( x + 5) + (140 - x) = 360

combine like terms

2x + 150 = 360

2x = 210

x = 105

3 0
3 years ago
Read 2 more answers
Help with this question, please!!
IceJOKER [234]

Answer:

  72°

Step-by-step explanation:

You correctly found x, but the measure of the angle is ...

  4x-22 = 4·23.5-22 = 72°

___

or (6x-69)° = (141-69)° = 72°

4 0
3 years ago
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