Answer:
The hole is at (5,7)
Step-by-step explanation:
x^2 − 3x − 10
-------------------
x−5
Factor the numerator
(x-5)(x+2)
-------------------
x−5
There is a hole at x=5 since it will cancel in the numerator and the denominator
f(x) = x+2 and letting x = 5
f(5) = 5+2
The hole is at (5,7)
$122.57 • 4 + $555.28 = $1,045.56
$136.71 • 4 + $585.34 = $1,132.18
$1,132.18 - $1,045.56 = $86.62
Answer:
for page 1, the answer is y = x + 1
for page 2, the answer is linear
Step-by-step explanation:
Why is it y = x + 1?
It is y = x + 1 because if you look at the steps, all of them are reasonable for having a multiplication equation. Step 1 has a equation of 1 x 1, step 2 has an equation of 2 x 2, and step 3 has an equation of 3 x 3. So the relationship would be adding +1 to every step and count up from 1 - 3.
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Why is it linear?
It's linear cause the relationship between x and y is called a linear relationship because the points so plotted all lie on a single straight line.
Use the Pythagorean theorem since you are working with a right triangle:
a^2+b^2=c^2a2+b2=c2
The legs are a and b and the hypotenuse is c. The hypotenuse is always opposite the 90° angle. Insert the appropriate values:
0.8^2+0.6^2=c^20.82+0.62=c2
Solve for c. Simplify the exponents (x^2=x*xx2=x∗x ):
0.64+0.36=c^20.64+0.36=c2
Add:
1=c^21=c2
Isolate c. Find the square root of both sides:
\begin{gathered}\sqrt{1}=\sqrt{c^2}\\\\\sqrt{1}=c\end{gathered}1=c21=c
Simplify \sqrt{1}1 . Any root of 1 is 1:
c=c= ±11 *
c=1,-1c=1,−1
Answer:
27
Step-by-step explanation:
Givens
b1 = 13
b2 = ?
h = 6
Area = 120
Formula
Area = (b1 + b2) * h/2 Multiply by 2
2Area = (b1 + b2)*h Divide by h
2Area/h = b1 + b2 Subtract b1 from both sides
2Area/h - b1 = b2
Solution
2*120 / 6 - 13 = b2
40 - 13 = b2
b2 = 27
It is always handy to solve an equation in the form that finds the unknown on one side. It makes the solution much easier.
