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Westkost [7]
3 years ago
9

The area of a rectangle is 70 square inches and the length of the rectangle is 3 inches longer than the width.

Mathematics
1 answer:
sammy [17]3 years ago
4 0
I hope this helps you

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What type of transformation is performed when the pre-image is "flipped" over a line? translation
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Reflection is when the pre-image is flipped over a line.
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Twenty-six students apply to serve as an usher at a school function. Eight of the those applying are freshmen, 7 are sophomores,
zlopas [31]

Answer:

The situation is not an example of uniform probability because freshmen, sophomores, juniors, and seniors do not have equal probabilities of being selected.

Step-by-step explanation:   Math means math because math is math

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3 years ago
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1. The equation of a parabola is given.
svp [43]
Question 1)

The given parabola is:

y= \frac{1}{8} x^{2} +4x+20

First we need to convert this equation to the general form similar to:

4p(y-k)=(x-h)^{2}

So, the given equation will be:

y= \frac{1}{8} x^{2} +4x+20  \\  \\ 
y= \frac{1}{8}( x^{2} +32x)+20 \\  \\ 
y= \frac{1}{8}( x^{2} +32x+256)+20- \frac{1}{8}(256) \\  \\ 
y = \frac{1}{8}(x+16)^{2}-12 \\  \\ 
y+12= \frac{1}{8}(x+16)^{2} \\  \\ 
8(y+12)=(x+16)^{2} \\  \\ 
4*2(y-(-12))=(x-(-16))^{2}

Comparing given equation with the general equation, we can write:
p = 2
h = -12
k= -16

The focus of the parabola with squared x terms lies at (h , k+p)
Using the values, we get the focus point of the given parabola (-16, -10)

Question 2.

The equation of the parabola is:
(y-1)^{2}=16(x+3)  \\  \\ 
(y-1)^{2}=4*4(x+3)

This means:
p=4
h = -3
k =1

The directrix of the parabola with squared y term has the equation of the form:

x = h - p

Using the values, we get

x= - 3 - 4 = -7

So, the equation of the directrix of the parabola will be x = -7 
8 0
3 years ago
Use function notation to represent the area of a circle whose circumference is 148cm
ANTONII [103]
148^²/4pi
=1742.83

2 pi r=148
r=148/2pi
Now
Area=pi r^²
Pi×(148)^²/4pi^²
=148^²/4pi


Mark brainliest please
7 0
3 years ago
How many roots do the following equations have? -12x2 - 25x + 5 + x3 = 0
adelina 88 [10]
X= -1.970, 0.183, 13.786
Do you need an explanation?
4 0
3 years ago
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