Answer:
Step-by-step explanation:
y = mx + b
we can see the slope is down hill, so it's negative
when the X is zero then it's 2
b = 2
slope is rise over run 2/3
y = -2/3x + 2
the slope is -2/3 (note the negative)
the y intercept is 2
Answer:
180ft
Step-by-step explanation:
By using the formula, we do Pi (3) x the radius which is 6² then x by the height, so, we do 3 x 6² x 5. 6² is 36. 3 x 36 = 108. Next, we do 5 x 108. This gives us 540. Now, we have to divide by 3. This makes our answer 180ft.
Answer:
Explanation:
To simplify a polynomial, we have to do two things: 1) combine like terms, and 2) rearrange the terms so that they're written in descending order of exponent.
First, we combine like terms, which requires us to identify the terms that can be added or subtracted from each other. Like terms always have the same variable (with the same exponent) attached to them. For example, you can add 1 "x-squared" to 2 "x-squareds" and get 3 "x-squareds", but 1 "x-squared" plus an "x" can't be combined because they're not like terms.
Let's identify some like terms below.
f(x)=−4x+3x2−7+9x−12x2−5x4
Here you can see that -4x and 9x are like terms. When we combine (add) -4x and 9x, we get 5x. So let's write 5x instead:
f(x)=5x+3x2−7−12x2−5x4
Let's do the same thing with the x-squared terms:
f(x)=5x+3x2−7−12x2−5x4
f(x)=5x−9x2−7−5x4
Now there are no like terms left. Our last step is to organize the terms so that x is written in descending power:
f(x)=−5x4−9x2+5x−7
Step-by-step explanation:
Answer:
<h2>V = 27m³</h2>
Step-by-step explanation:
We know: All faces of a cube are squares.
The formula of an area of a square with a side <em>s</em>:
<em>A = s²</em>
We have <em>A = 9m²</em>
Substitute:
<em>s² = 9 → s = √9 = 3 m</em>.
The formula of a volume of a cube with an edge <em>s</em>:
<em>V = s³</em>
Substitute:
<em>V = 3³ = 27 m³</em>