2 years ago

The length of 1 side of a square is 13.5 centimeters. find the length of a diagonal of the square.

1 answer:

vladimir1956 [14]2 years ago

3 0

It would be 13.5 because a square has 4 equal sides and even if you went diagonal it wouldn't change the fact that it is equally the same!

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-3x^2 plus 24x = 27 <br> complete the square

Rudik [331]

You can divide the whole expression by -3:

$-3x^2+24x=27 \iff x^2-8x = -9$

Recalling that

$(x-a)^2=x^2-2ax+a^2$

Let's compare the middle term:

$-8x = -2ax \iff a=4$

So, we want to complete

$(x-4)^2 = x^2-8x+16$

Which differs from $x^2-8x$ by 16. So, if we add 16 to both sides, we have

$x^2-8x=-9 \iff x^2-8x+16=7 \iff (x-4)^2=7$

3 0

3 years ago

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At the beach, 29% of people are on the boardwalk and 26% are on the sand. If the rest are in the water, what percentage of peopl

natali 33 [55]

Answer:

45% of the people are in the water

Step-by-step explanation:

100%-29%=71%

71%-26%=45%

6 0

2 years ago

Solve the following quadratic for the values x

mamaluj [8]

Answer:

x² + 6x - 27 = 0

x² + 9x - 3x - 27 = 0

x ( x + 9 ) - 3 ( x + 9 ) = 0

( x + 9 ) ( x - 3 ) = 0

Thus ,

x = -9 or x = 3

I hope it helps you

#Indian : )

8 0

3 years ago

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Find the area of the given triangles.

vovikov84 [41]

154 yd ²

the formula is (b • h) / 2 = A

so plug it in (14 • 22) / 2 = 154

5 0

2 years ago

if you horizontally strech the quadratic parent function, f(x)=x^2, by a factor of 4, what is the equation of the new function?

max2010maxim [7]

Answer:

g(x) = x^2/16

Step-by-step explanation:

To stretch a function horizontally by a factor of k, replace x with x/k.

You want a stretch factor of 4, so your function is ...

g(x) = f(x/4) = (x/4)^2

g(x) = x^2/16

The attached graph shows the horizontal stretch.

8 0

2 years ago