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soldi70 [24.7K]
3 years ago
5

Given triangle ABC with coordinates A(−6, 4), B(−6, 1), and C(−8, 0), and its image A′B′C′ with A′(−2, 0), B′(−5, 0), and C′(−6,

−2), find the line of reflection.
The line of reflection is at y=?

Mathematics
1 answer:
Zinaida [17]3 years ago
6 0

Answer:

  The line of reflection is at y = x+6.

Step-by-step explanation:

The perpendicular bisector of AA' is a line with slope 1 through the midpoint of AA', which is (-4, 2). In point-slope form, the equation is ...

  y = 1(x +4) +2

  y = x + 6 . . . . . . . line of reflection

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Calculate the side lengths a and b to two decimal places
muminat

Answer:

Option (D)

Step-by-step explanation:

In the picture attached,

An obtuse angle triangle ABC has been given.

By applying Sine rule in the triangle,

\frac{\text{SinB}}{b}=\frac{\text{SinA}}{a}=\frac{\text{SinC}}{c}

Since, m∠A + m∠B + m∠C = 180°

45° + 110° + m∠C = 180°

m∠C = 180°- 155° = 25°

\frac{\text{Sin110}}{b}=\frac{\text{Sin45}}{a}=\frac{\text{Sin25}}{7}

\frac{\text{Sin110}}{b}=\frac{\text{Sin45}}{a}=0.060374

\frac{\text{Sin110}}{b}=0.060374

b = \frac{\text{Sin110}}{0.060374}

b = 15.56

b ≈ 15.56

\frac{\text{Sin45}}{a}=0.060374

a = \frac{\text{Sin45}}{0.060374}

a = 11.712

a = 11.71

Therefore, Option (D) will be the answer.

3 0
3 years ago
If f(x)=2x^3-x+c and f(2)=10 then what's the value of c?
Goshia [24]

Answer:

c = -4

Step-by-step explanation:

If f(x) = 2x^3 - x + c and f(2) = 10, plug in 2 for the x values in the function and make the function output 10.

10 = 2(2^3) - 2 + c    Now, we only have to deal with one variable, that is c.

10 = 2(8) - 2 + c

10 = 16 - 2 + c

10 = 14 + c

-4 = c    After simplifying, we get that c is -4.

To check this, plug in 2 for x, and -4 for c in the function. If the function produces 10 as the result, the halleluja!

f(2) = 2(2^3) - 2 - 4

f(2) = 2(8) - 2 - 4

f(2) = 16 - 2 - 4

f(2) = 10

7 0
2 years ago
Read 2 more answers
Which is equal to 7(3.5x10^4)written in scientific nation
k0ka [10]
The answer is 2.45 x 10^5. 

7 x 3.5 = 24.5

Move the decimal place over to the left until you have a number between 1 and 9 before the decimal point.

Add the number of times you moved the decimal point to the exponent (The 4 in the original equation).

2.45 x 10^5.

I hope this helps!

5 0
3 years ago
(8x^3 + x^2 - 5) / (x-6)
alina1380 [7]

Answer:

the answer is 8x^2+49x+294+1759/x-6

5 0
2 years ago
Ryan said, “The only solution for x2 = 36 is 6.” What is wrong with Ryan’s statement?
zysi [14]
I think the answer is D.

4 0
3 years ago
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