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user100 [1]
2 years ago
6

Triangle QRS is reflected over y = 2. What are the coordinates of Q'?

Mathematics
1 answer:
Levart [38]2 years ago
7 0

Answer:

(1,6)

Step-by-step explanation:

In order to reflect a point over a horizontal line, you need to count how many units it takes to reach that line (going vertically). Once you have that number, count that many units starting from that point on the line (again, going vertically), then that is your reflected point.

Counting from point Q to the line y = 2, it takes 4 units. So starting from that point on the line where I left off, I would count another 4 units, taking me to (1,6). The picture below explains it better visually.

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A gift box has a volume of 450 cubic inches. The width of the box is 4 inches less than the length. The height is twice the widt
VashaNatasha [74]

Answer:

width = 5 in

length = 5+4=9 in

height = 2(5)= 10 in

Step-by-step explanation:

A gift box has a volume of 450 cubic inches.

Let 'w' be the width of the box

The width of the box is 4 inches less than the length.

length = w+4

The height is twice the width.

height = 2 \cdot width

height = 2w

Volume of box = length times width times height

V=(w+4)(w)(2w)

450=(w+4)(w)(2w)

450=2w^3+8w^2

2w^3+8w^2-450=0

\quad 2\left(w-5\right)\left(w^2+9w+45\right)=0

w-5=0

w=5

\quad\left(w^2+9w+45\right)=0, this gives two complex values

so width = 5

length = 5+4=9

height = 2(5)= 10

5 0
2 years ago
6 12/17 a rational number
Mkey [24]

Answer:

Yes

Step-by-step explanation:

Rewrite the mixed number into an improper fraction...

6 12/17 becomes 114/17    

The definition of a rational number is any number a/b where b does not equal zero.  114/17 satisfies this requirement, so it is a rational number

4 0
3 years ago
Can someone show me step by step on how to solve this, I'd very much appreciate the help. In the figure below, what is the value
klemol [59]

Answer:

D.

Step-by-step explanation:

According to the Exterior Angle Theorem, the exterior angle is equal to the sum of the interior angles opposite from the exterior angle. In other words:

68+x=100

Solve for <em>x</em>. Therefore:

m\angle x=32^\circ

Our answer is D.

5 0
2 years ago
Read 2 more answers
How do you break apart the factor 42 using place values
VLD [36.1K]

Let's break apart 42.

The 4 is in the tens. The 2 is in the ones.

                           Place Value starting from Thousands

                            Thousands  Hundreds  Tens  Ones

                            _________ ________ ____ _____

                                                                       4          2

So this is how we break up numbers using place value.

Hope this helps!

5 0
3 years ago
Y-intercept: (0,<br> y=-2x2 – 16x – 34<br> What is the y intercept?
tekilochka [14]

Answer: Solve for Y

y = -16x - 38

And then y intercept is

(0, -38)

Step-by-step explanation:

8 0
1 year ago
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