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Rama09 [41]
3 years ago
8

What is the solution set for the equation 4x^2+11x-10=-7

Mathematics
1 answer:
KengaRu [80]3 years ago
6 0

It's C I looked it up for you I promise it's right :D

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The surface area of a square pyramid 360 square meters. The base length is 12 meters. Determine the slant height.
garri49 [273]

Answer:

The slant height is  9 meters.

Step-by-step explanation:

To determine the slant height, we will follow the steps below;

First, write down the formula:

Surface area = 2bs + b²

where   b=  the length of the base of the square pyramid

 s =  the slant height of the square pyramid

From the question given,

surface area of a square pyramid = 360 square meters

base length = 12 meters

We can now proceed to insert the values into the formula and then solve for s

Surface area = 2bs + b²

360 = 2(12)s + (12)²

360 = 24s + 144

subtract 144 from both-side of the equation

360 - 144 = 24s

216 = 24s

Divide both-side of the equation by 24

216/24 = 24s/24

9  =  s

s = 9 meters

The slant height is  9 meters.

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What transformations are needed to change the parent cosine function to y=3cos(10(x-pi))?
LUCKY_DIMON [66]

Answer:

The graph of y=cos(x) is:

*Stretched vertically by a factor of 3

*Compressed horizontally by a factor  \frac{1}{10} .

*Moves horizontally \pi units to the rigth

The transformation is:

y=3f(10(x-\pi))

Step-by-step explanation:

If  the function y=cf(h(x+b))  represents the transformations made to the graph of y= f(x)  then, by definition:

If  0 then the graph is compressed vertically by a factor c.

If  |c| > 1 then the graph is stretched vertically by a factor c

If c  then the graph is reflected on the x axis.

If b> 0 The graph moves horizontally b units to the left

If b The graph moves horizontally b units to the rigth

If 0 the graph is stretched horizontally  by a factor \frac{1}{h}

If h> 1 the graph is compressed horizontally by a factor \frac{1}{h}

In this problem we have the function y=3cos(10(x-pi)) and our parent function is y = cos(x)

The transformation is:

y=3f(10(x-\pi))

Then c =3>1  and b =-\pi < 0 and h=10 > 1

Therefore the graph of y=cos(x) is:

Stretched vertically by a factor of 3.

Also as h=10 the graph is compressed horizontally by a factor  \frac{1}{10} .

Also, as b =-\pi < 0 The graph moves horizontally \pi units to the rigth

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