32 divided by 4/5=32*5/4/
simplify:8*5=40
there are 40 4/5 foot pieces in 32 feet
From a formula located here:
http://www.1728.org/quadltrl.htm
we see that
<span>4 • Side² = Long Diagonal² + Short Diagonal²
Long Diagonal = 24
Short Diagonal = 10
</span><span>4 • Side² = 24^2 + 10^2 </span>
<span>4 • Side² = 576 + 100
</span><span>4 • Side² = 676
</span><span><span>Side²</span> = 169
Side (or line AB) = 13
</span>
Answer with Step-by-step explanation:
We are given that
Flat fee of taxicab=$7
Cost of one mile=$1.25
1.We have to show that relationship between total cost and the number of miles driven.
2.We have to find independent variable and dependent variable
3.We have to write an equation to model the relationship and make a table to show the cost of 4 to 10 miles.
1.Let x be the number of miles driven by taxicab and total cost y of taxicab.
According to question

This is a relation between number of miles drive and total cost.
2. Independent variable : It is that variable which does not depend on value of another variable .
Dependent variable : it is that variable which depend on value of another variable.
We can see that y depend on x and value of x does not depend on any value.
Therefore, y is dependent variable and x is independent variable.
Substitute x=4 then we get
$12
Substitute x=5 then get
$13.25
\$14.5
$15.75
$17
$18.25
$19.5
First step is to factor. With a polynomial function in the form ax² + bx + c = f(x), we have to find what factors of term C have a sum of term B.
So with this, we need factors of -90 add up to become -1. Your factors are - 10 and 9.
f(x) = x² + 9x - 10x - 90
Now we group together and pull out GCFs.
f(x) = (x² + 9x) + (10x - 90)
f(x) = x(x² + 9) - 10(x + 9)
f(x) = (x - 10)(x + 9)
Now, set each factor equal to zero.
x - 10 = 0, x + 9 = 0
For the first equation you are going to add 10 to both sides to get x by itself. Subtract 9 from both sides in the second equation for the same reason.
x = 10, x = -9
Your zeros are at x = -9, 10 or at the ordered pairs (-9, 0) and (10, 0).