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gayaneshka [121]
3 years ago
15

Write the expression as a square of a binomial: 1/4 a^2+2ab^2+4b^4

Mathematics
1 answer:
vaieri [72.5K]3 years ago
7 0

Answer:

a+b=mx+b

Step-by-step explanation:

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4 0
3 years ago
The side lengths of a triangle are 9, 12, and 15. Is this a right triangle?
andriy [413]

Answer:

<h2>Yes, this is a right triangle.</h2>

Step-by-step explanation:

Hypotenuse always have the highest number than base and perpendicular.

Hypotenuse ( h ) = 15

Base ( b ) = 9

Perpendicular ( p ) = 12

Let's see whether the given triangle is a right triangle or not

Using Pythagoras theorem:

{h}^{2}  =  {p}^{2}  +  {b}^{2}

Plugging the values,

{15}^{2}  =  {12}^{2}  +  {9}^{2}

Evaluate the power

225  = 144 + 81

Calculate the sum

225 = 225

Hypotenuse is equal to the sum of perpendicular and base.

So , we can say that the given lengths of the triangle makes a right triangle.

Hope this helps..

Best regards!!

4 0
3 years ago
Read 2 more answers
Isabel drove 864 miles in 12 hours.<br> At the same rate, how many miles would she drive in 7 hours?
lyudmila [28]

Answer:

504 miles

Step-by-step explanation:

Make a proportion

\frac{864}{12} = \frac{x}{7}

7/12 is 0.5833, so multiply 864 by that to find the number of miles

864(0.5833) = 504

6 0
3 years ago
Read 2 more answers
Lena is converting 2/25 to a percent. What should she multiply the numerator and denominator of the fraction by to find the perc
NNADVOKAT [17]
A percent is a number out of 100, so you'd want to multiply the denominator to get 100. In this case, 25 would have to be multiplied by 4 to get 100. To keep the fractions equal to each other, you have to multiply the numerator by the same thing. 2*4=8. Therefore, your fraction would be 8/100 or 8%
7 0
3 years ago
Read 2 more answers
Evan wants to build a rectangular enclosure for his animals. One side of the pen will be against the barn, so he needs no fence
pentagon [3]

Answer:  A.   A=(1000-2w)*w      B. 250 feet

C.  125 000 square feet

Step-by-step explanation:

The area of rectangular is A=l*w    (1)

From another hand the length of the fence is 2*w+l=1000        (2)

L is not multiplied by 2, because the opposite side of the l is the barn,- we don't need in fence on that side.

Express l from (2):

l=1000-2w

Substitude l in (1) by 1000-2w

A=(1000-2w)*w        (3)   ( Part A. is done !)

Part B.

To find the width w  (Wmax) that corresponds to max of area A   we have to dind the roots of equation (1000-2w)w=0  ( we get it from (3))

w1=0  1000-2*w2=0

w2=500

Wmax= (w1+w2)/2=(0+500)/2=250 feet

The width that maximize area A is Wmax=250 feet

Part C.   Using (3) and the value of Wmax=250 we can write the following:

A(Wmax)=250*(1000-2*250)=250*500=125 000 square feets

3 0
3 years ago
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