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Elden [556K]
3 years ago
11

The coordinates of a point on a coordinate grid are (?1, 5). The point is reflected across the x-axis to obtain a new point. The

coordinates of the reflected point are Select one: a. (1, ?5) b. (?1, 5) c. (1, 5) d. (?1, ?5)
Mathematics
1 answer:
4vir4ik [10]3 years ago
5 0
D. (?1, ?5) because it is only reflected across the x-axis, so it only effects the Y coordinates.
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Given rectangle QUAD, If DU = 5x - 4 and QP = 2x + 7, then find the length of DU.
ira [324]

Answer:

DU = 86

Step-by-step explanation:

Properties of a rectangle,

- Opposite sides are equal in measure.

- Diagonals of a rectangle are equal.

- Diagonals bisect each other.

In the given rectangle QUAD,

Diagonals AQ and DU bisect each other at P.

AQ = DU

2(QP) = DU [Since, AQ = 2(PQ)]

2(2x + 7) = 5x - 4

4x + 14 = 5x - 4

5x - 4x = 14 + 4

x = 18

Since, DU = 5x - 4

DU = 5(18) - 4

     = 90 - 4

     = 86

Therefore, measure of DU = 86 units

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3 years ago
What is the coefficient in the algebraic expression 7 xy2 ?
Monica [59]
The answer is 7!

The number In front of the variable is always the coefficient.
5 0
3 years ago
I want to build a deck around my pool that is the same width all the way around. If the pool is 8meters by 10meters and I have e
anastassius [24]

Answer:

Step-by-step explanation:

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3 years ago
Help! What is the average rate of change of f(x)=x^2+3x+6 over the interval -3 less-than-or-equal-to x less-than-or-equal-to 3?
Makovka662 [10]

Answer:

The average rate of change of the function over the interval is 5.

Step-by-step explanation:

Average rate of change of a function:

The average rate of change of a function f(x) over an interval [a,b] is given by:

A = \frac{f(b)-f(a)}{b-a}

Interval -3 less-than-or-equal-to x less-than-or-equal-to 3

This means that a = -3, b = 3

f(x) = x^2 + 3x + 6

So

f(b) = f(3) = (3)^2 + 3(3) + 6 = 9 + 9 + 6 = 24

f(a) = f(-3) = (-3)^2 + 3(-3) + 6 = 9 - 9 + 6 = 6

Average rate of change

A = \frac{f(b)-f(a)}{b-a} = \frac{24+6}{3-(-3)} = \frac{30}{6} = 5

The average rate of change of the function over the interval is 5.

8 0
3 years ago
Michael walks his black lab 6 2/3 miles every week. If he walks his dog every Monday, Wednesday, Friday, and Sunday. How many mi
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Answer: 1.7 miles

Step-by-step explanation:

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6 2/3 divided by 4 = 1.66666667

1.66666667 rounded to nearest tenth = 1.7

6 0
3 years ago
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