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a_sh-v [17]
3 years ago
12

the area of a rectangular cookie sheet is 8x^2+26x+12 . the width of the cookie sheet is 2x+5 . what is the length of the cookie

sheet?

Mathematics
1 answer:
Illusion [34]3 years ago
6 0
You would lay out the equation for area
A=(L)(W)
then plug in the variables
8x^2+26x+12=2x+5(L)
then solve for L
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likoan [24]

Answer:

Step-by-step explanation:

d

4 0
4 years ago
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Please help explanation if possible
tensa zangetsu [6.8K]

Answer:

y=-11

Step-by-step explanation:

A line can be represented by a linear equation of

y = mx + b

where m is the slope and y is the y intercept.

The slope is 0 so this function will be

y = b

Which is also called a constant function. The y intercept is -11. So the answer is

y =  - 11

8 0
3 years ago
A, B, and C are collinear, and B is between A and C. The ratio of AB to BC is 3 : 1.
S_A_V [24]

Coordinates of point C: (1,-1)

Step-by-step explanation:

In this problem, A, B and C are collinear, and B is between A and C.

The ratio AB : BC is 3 : 1.

This means that we can write the following two equations:

x_B-x_A = 3(x_C-x_B)\\y_B-y_A=3(y_X-y_B)

where:

(x_A,y_A)=(-7,3) are the coordinates of point A

(x_B,y_B)=(-1,0) are the coordinates of point B

(x_C,y_C) are the coordinates of point C

Solving the equation for x_C,

x_C = x_B + \frac{x_B-x_A}{3}=-1+\frac{-1-(-7)}{3}=1

Solving the equation for y_C,

y_C=y_B + \frac{y_B-y_A}{3}=0+\frac{0-3}{3}=-1

So, the coordinates of point C are

C(-1,1)

Learn more about how to divide segments:

brainly.com/question/3269852

brainly.com/question/11280112

#LearnwithBrainly

4 0
3 years ago
What is the maximum volume of water a hamster bath could hold with a deph of 1 2/3 , a length of 2 1/3 inches and width of 2 inc
lidiya [134]

Answer:

7\frac{7}{9}in^{3}

Step-by-step explanation:

Volume of a prism can be found using the general formula:

V = l x w x h, where l = length, w = width and h = height

Given the dimensions of l = 2\frac{1}{3}in; w = 2in and h = 1\frac{2}{3}in, you can first convert your mixed numbers to improper fractions and then multiply.

2\frac{1}{3}in=\frac{5}{3}

1\frac{2}{3}in=\frac{7}{3}

V = \frac{5}{3}*\frac{7}{3}*\frac{2}{1}=\frac{70}{9}=7\frac{7}{9}in^{3}

7 0
3 years ago
a positive integer is nice if there is a positive integer with exactly four positive divisors (including and ) such that the sum
antoniya [11.8K]

Answer:

A positive integer with exactly four positive divisors (including and ) such that the sum of the four divisors is equal to The sum of four divisors is equal to 45360.

What is an integer?

Zero, a positive natural number, or an unsigned negative integer are all examples of integers. The inverses of the equivalent positive numbers, which are additive, are the negative numbers. The boldface Z or blackboard bold "Z" is frequently used in mathematical notation to represent a collection of numbers.

Step-by-step explanation:

We know That total No. of factors

=product of (prime no′s power+1)

If N is the number of different divisors:

N=(p1​+1)⋅(p2​+1)⋅⋅⋅(pn​+1)

100= 2^2 × 5^2

=2×2×5×5= (1+1)(1+1)(4+1)(4+1)

Then the integer n=  a1^p1​​⋅a2^p2​​⋅⋅⋅⋅an^pn​​

For the smallest value: p1​=4,p2​=4,p3​=1,p4​=1

Then,

n=a1^4​×a2^4​×a3^1​×a4^1​

=24⋅34⋅51⋅71

=16⋅81⋅5⋅7

=45360

Hence, the positive integer with exactly four positive divisors (including and ) such that the sum of the four divisors is equal to The sum of four divisors is equal to 45360.

To learn more about the integers from the given link

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#SPJ4

4 0
1 year ago
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