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vivado [14]
3 years ago
15

What is the solution for the proportion below 8/9 = m / 72?

Mathematics
1 answer:
Wittaler [7]3 years ago
8 0
The I believe the answer is m= 64
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What is the distance between the point (−10, −2)(−10, −2) and the point (−4, −2)(−4, −2) ?
Gnoma [55]
In this case:  x 1 = - 10,  y 1 = - 2;
x 2 = - 4 ,  y 2 = - 2
The distance between the points :
d =  \sqrt{(x 2 - x 1 ) ^{2} + ( y 2 - y 1 ) ^{2} } = \\  =\sqrt{(-4+10) ^{2} +(-2+2) ^{2} } = \\ = \sqrt{6 ^{2}+0 ^{2}  } = \sqrt{36}= 6
Answer: d = 6
4 0
3 years ago
Read 2 more answers
How can the average rate of change be identified for a function?
Digiron [165]

Answer:

Rateofchange=\frac{f(x_2)-f(x_1)}{x_2-x_1}

where x₁ and x₂ are values in the interval [x,y] respectively

Step-by-step explanation:

Well, first to determine the average rate of change of a function, you should have the interval of the values of x for the function.

So lets assume you have a function;

f(x)=x^3-4x

And the interval as [1,3]

Then the average rate of change for the function f(x) will be;

=\frac{f(x_2)-f(x_1)}{x_2-x_1}

where x₁ and x₂ are the interval coordinates x,y respectively. In this case x₁=1 and x₂=3

To find the average rate of change in this example will be;

=\frac{f(x_2)-f(x_1)}{x_2-x_1} \\\\=f(x_2)=f(3)=3^3-4(3)=27-12=15\\\\=f(x_1)=f(1)=1^3-4(1)=1-4=-3\\\\\\=x_2-x_1=3-1=2\\\\\\=\frac{15--3}{2} \\\\=\frac{18}{2} =9

8 0
3 years ago
Put these numbers in order from least to greatest.<br><br> 3 4/5 3 3/4 3.5
timurjin [86]

Answer:

3/4, 4/5, 3, 3, 3.5

6 0
3 years ago
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Paco solves the equation -3x-5=1
Levart [38]

Answer:

x= -2

Step-by-step explanation:

-3x-5=1

+5 on each side to balance the equation:

-3x=6

Divide by -3 on each side:

x=-2

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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