Answer:
16+5w
Step-by-step explanation:
2(5 + w) + 3(w + 2)
5+w evaluates to 5+w
Multiply 2 by 5+w
we multiply 2 by each term in 5+w term by term.
This is the distributive property of multiplication.
Multiply 2 and 5
1
2 × 5 = 10
Multiply 2 and w
Multiply 1 and w
The w just gets copied along.
w
2 × w = 2w
2*(5+w) evaluates to 10+2w
w+2 evaluates to w+2
Multiply 3 by w+2
we multiply 3 by each term in w+2 term by term.
This is the distributive property of multiplication.
Multiply 3 and w
Multiply 1 and w
The w just gets copied along.
w
3 × w = 3w
Multiply 3 and 2
1
3 × 2 = 6
3*(w+2) evaluates to 3w+6
To add the polynomials 10+2w and 3w+6 we try to add or combine terms in one polynomialwith any like terms in the other polynomial.
10 + 6 = 16
2w + 3w = 5w
The answer is 16+5w
2*(5+w)+3*(w+2) evaluates to 16+5w
The final answer is
16+5w
Answer:
First of all since they are dividing subtract the powers of the base from each other .
Make sure the bases are the same.
((6^7-6)(3^3-4))³
((6)(3^-1))³
(6³)(3^-3)
216 × 1/27
= 8
That's option d.
Hope this helps.
Answer: ratio a:b = 3:5 p(X, 2) = p(9, 2)
<u>Step-by-step explanation:</u>
Plot points a = (12, 5) and b = (4, -3) and draw a line segment from a to b.
Notice that when y = 2, X = 9 so point p = (9, 2) <em>see graph</em>
The distance from a to p = 3√2
The distance from b to p = 5√2
So the ratio of a:b = 3√2:5√2 = 3:5 <em>when simplified</em>
<em />
<em>To find the distance, use the distance formula OR pythagorean theorem.</em>
The equation of the line that passes through the points
(1,5) and (5,13) is y=2x+3
