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Nana76 [90]
2 years ago
15

1. How could you figure out the coordinates of a reflection over the x-axis? What would the coordinates of that reflected point

be?
2. Then also tell how you could determine the coordinates when (-8,2) is reflected over the y-axis, and tell the coordinates of that new point.

Mathematics
1 answer:
zzz [600]2 years ago
7 0

The reflection of a point over the x axis is given by the equation (x, y) ⇒ (x, -y).

If the point (-8,2) is reflected over the y-axis, the new point would be (8, 2)

<h3>What is a transformation?</h3>

Transformation is the movement of a point from its initial location to a new location. Types of transformation are <em>reflection, translation, rotation and dilation.</em>

The reflection of a point over the x axis is given by the equation (x, y) ⇒ (x, -y).

If the point (-8,2) is reflected over the y-axis, the new point would be (8, 2)

Find out more on transformation at: brainly.com/question/4289712

#SPJ1

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Forty discrete math students are to be divided into eight discussion groups, each consisting of five students. In how many ways
VARVARA [1.3K]

Answer:

<h2>76904685 ways</h2>

Step-by-step explanation:

Given data

the number of students n=40

the number of groups r= 8

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nCr= n!/r!(n-r)!

substituting into the expression for the number of ways we have

40C8= 40!/8!(40-8)!

nCr= 40!/8!(32)!

nCr= 40!/8!(32)!

nCr= 40*39*38*37*36*35*34*33*32!/8!(32)!

nCr= 40*39*38*37*36*35*34*33*/8!

nCr= 40*39*38*37*36*35*34*33*/8*7*6*5*4*3*2

nCr= 3100796899200/40320

nCr=76904685 ways

4 0
3 years ago
Which of the following is the surface area of the right cylinder below?
Norma-Jean [14]
Answer: (A) 352 π units^2
Explanation in image.

Knowledge point:
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6 0
2 years ago
Write the standard equation of a circle that passes through (−2, 10) with center (−2, 6).
Liono4ka [1.6K]
Standard form of a circle" (x-h)²+(y-k)²=r², (h,k) being the center, r being the radius.
in this case, h=-2, k=6, (x+2)²+(y-6)²=r²
use the point (-2,10) to find r: (-2+2)²+(10-6)²=r², r=4
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6 0
3 years ago
Read 2 more answers
Solve for e. T=e29<br><br><br> ​​ e=±3T√T<br><br> e=±3T<br><br> e=±3T√<br><br> ​ e=±9T√ ​
Anon25 [30]

Answer:

option (3) is correct.

e= \pm 3\sqrt{T}

Step-by-step explanation:

Given T=\frac{e^2}{9}

We have to solve for e.

Consider the given statement,

T=\frac{e^2}{9}

Cross multiply, we get,

\Rightarrow 9T={e^2}

Taking square root both sides , we get,

\Rightarrow \sqrt{9T}=e

We know square root of 9 is 3.

\Rightarrow \pm 3\sqrt{T}=e

Thus, option (3) is correct.

e= \pm 3\sqrt{T}

4 0
2 years ago
Factor completely:<br>64 - y^3
madam [21]
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That sounds pretty confusing, but it's much easier to understand when put mathematically. Let's say our two cubes are a^{3} and b^{3}. The difference of those two cubes is:
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In our problem, a = 4 (since a^{3} = 64) and b = y (since b^{3} = y^{3}. Plug these values into the rule to find the factor of 64 - y^3:
64 - y^3 \\&#10;= (4 - y)( 4^{2} + 4y + y^{2}) \\&#10;=  (4 - y)( 16 + 4y + y^{2})

-----

Answer: (4 - y)( 16 + 4y + y^{2})

8 0
3 years ago
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