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3 years ago

Can a translation and a reflection map TriangleQRS to TriangleTUV?

Mathematics

2 answers:

BartSMP [9]3 years ago

8 0

Answer:

Yes, a translation mapping vertex Q to vertex T and a reflection across the line containing QS will map

△QRS to △TUV.

Step-by-step explanation:

andrey2020 [161]3 years ago

5 0

Answer:

Yes

Step-by-step explanation:

Yes, a translation mapping vertex Q to vertex T and a reflection across the line containing QS will map △QRS to △TUV. No, the triangles are obtuse. Yes, a translation mapping vertex S to vertex T and a reflection across the line containing RS will map △QRS to △TUV.

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On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 3, 1) and (0, 3). Everything to th

miss Akunina [59]

Answer:

$y> \frac{2}{3}x+3$

Step-by-step explanation:

we have the points

(-3,1) and (0,3)

step 1

Find the slope m of the line

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the values

$m=\frac{3-1}{0+3}$

$m=\frac{2}{3}$

step 2

Find the equation of the line in slope intercept form

$y=mx+b$

we have

$m=\frac{2}{3}$

$b=3$ ----> the y-intercept is the point (0,3)

substitute the values

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

step 3

Find the equation of the inequality

we know that

The slope is positive

Everything to the left of the line is shaded ( The inequality is of the form y > ax+b or y ≥ ax+b)

Is a dashed line (The inequality is of the form y > ax+ b or y < ax+b)

therefore

The equation of the inequality is of the form y > ax+b

The inequality is

$y> \frac{2}{3}x+3$

see the attached figure to better understand the problem

4 0

3 years ago

Read 2 more answers

What is the distance between the points (-6,5) and (8,-2) on a coordinate plane?

Naddik [55]

Distance Formula: $D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2$

Apply the points: $D=\sqrt{(8-(-6))^2+((-2)-5)^2$

Solve: $D=\sqrt{(8-(-6))^2+((-2)-5)^2}\\D=\sqrt{14^2+(-7)^2}\\D=\sqrt{169+49}\\D=\sqrt{218}$

Since the square root of 218 cannot be simplified, the answer is

$D=\sqrt{218}$

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✉️ If any further questions, inbox me! ✉️

7 0

3 years ago

A straight line has a slope of 2.08. Calculate the angle that the line makes with the x (horizontal) axis.

zubka84 [21]

Answer:

The angle that the line makes with x-axis of of 64.3º.

Step-by-step explanation:

Equation of a line, and angle with the x axis:

The equation of a line has the following format:

$y = mx + b$

In which m is the slope.

The angle that the line makes with the x axis is given by the angle which has tangent m, that is, $a = \tan^{-1}{m}$ .

In this question:

We have that $m = 2.08$ . So

$a = \tan^{-1}{2.08} = 64.3$

The angle that the line makes with x-axis of of 64.3º.

4 0

3 years ago

What value of c makes the polynomial below a perfect square? 4x2 + 12x + c?

Tema [17]

This is what we know:4x^2 + 12x + c = (2x + k)^2
<span> 4x^2 + 12x + c = 4x^2 + 2kx + 2kx + k^2
c=9
</span>

6 0

3 years ago

Read 2 more answers

4x+4y=-20 and -3x-12y=-60

klasskru [66]

Answer:

(0,-5)

Step-by-step explanation:

3(4x+4y=20)

-3x-12y=-60

12x+12y=60

-3x-12y=-60

9x=0

x=0

4(0)+4y=-20

4y=-20

y=-5

5 0

4 years ago