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Gelneren [198K]
3 years ago
6

Factor completely 36x2 − 121.

Mathematics
1 answer:
garri49 [273]3 years ago
7 0
The answer is(6x-11)(6x+11)
You might be interested in
How many distinct real number zeros does f have? F(x)=4x^2-17x+3
pochemuha

Answer:

2 distinct real number zeros

Step-by-step explanation:

The discriminant b^2 - 4ac

= (-17)^2 - 4*4*3

= 241

So it has 2 distinct roots.

5 0
3 years ago
Someone please help me
guapka [62]
Let the sides of the polygon (which is a triangle, by the way) be x, y and z.  The sum of x, y and z is the perimeter of the original poly, and this equals 18 cm.

Letting f be the scale factor,   f(18 cm) = 12 cm.  Then f=2/3.

The dilation reduces the size of the polygon by a factor of 1/3, producing a similar polygon which is 2/3 the size of the original one.

In each case we have 3 side lengths but no angles.  We can use Heron's formula to obtain the area in each case.  Look up Heron's formula.  In one version of this formula, p is half the actual perimeter, meaning that p is 18 cm / 2 for the first triangle and 12 cm / 2 for the second. 

The area of the first triangle would be

A18 = sqrt( 9(9-x)(9-y)(9-z) )

whereas 

A12 = sqrt( 6(6-x*a)(6-y*a)(6-z*a) ), where a represents the dilation factor 2/3.

Then the ratio of the areas of the 2 triangles is

sqrt( 6(6-x*a)(6-y*a)(6-z*a) )
---------------------------------------
  sqrt( 9(9-x)(9-y)(9-z) )

5 0
3 years ago
Emily has a rectangular deck in her backyard with an area of 96 square feet. She wants to increase.
Dominik [7]

Answer:

The area of the deck after she doubles the length and width will be of 384 square feet.

Step-by-step explanation:

Area of a rectangle:

The area of a rectangle of length l and width w is given by:

A = lw

Doubling length and width:

If we double the length and the width, the dimensions are 2l and 2w. Thus, the area will be of:

A_d = 2l*2w = 4lw

That is, if both dimensions are doubled, the area is multiplied by 4.

What will the area of the deck be after she doubles the length and width?

Was 96. Then, both dimensions were doubled, and the area has to be multiplied by 4.

96*4 = 384

The area of the deck after she doubles the length and width will be of 384 square feet.

4 0
3 years ago
One rectangle is devided into four parts. How much is one part?
Rom4ik [11]

Answer:

P = \¼R

Step-by-step explanation:

Given

Shape: Rectangle

Division = 4 parts

Required

How much is one part of the division

Represent the rectangle with R and the parts with P

When a rectangle (R) is divided into 4 parts (P); the relationship between R and P is:

P = \frac{R}{4}

P = \¼R

<em>This implies that the one part of the division is ¼ of the divided rectangle</em>

7 0
3 years ago
Which expression is equivalent to 1/8x−1/2 ? 1/8(x−1/2) 1/8(x−4) 1/8(x−1/4) −1/8(x−4)
s344n2d4d5 [400]
The correct answer is B
3 0
4 years ago
Read 2 more answers
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