Answer:
V = x³ + 20x² + 124x + 240
Step-by-step explanation:
Volume of a rectangular prism is width times length times height.
V = wlh
Given w = x+4, l = x+10, and h = x + 6:
V = (x + 4)(x + 10)(x + 6)
V = (x + 4)(x² + 16x + 60)
V = x²(x + 4) + 16x(x + 4) + 60(x + 4)
V = x³ + 4x² + 16x² + 64x + 60x + 240
V = x³ + 20x² + 124x + 240
Answer:
2y² -4y +5
Step-by-step explanation:
First you need to find the sum of y²+5y-1 and 3y²-2y+4
(y²+5y-1) + (3y²-2y+4) => y²+3y²+5y-2y-1+4
=4y²+3y+3
Next is to subtract 2y²+7y-2 from the sum calculated above in order to find the algebraic expression asked in the exercise
4y²+3y+3 -(2y²+7y-2) => 4y²-2y²+3y-7y+3+2
=2y² -4y +5
Therefore, the algebraic expression asked must be 2y² -4y +5
Answer:
20 cm
Step-by-step explanation:
Since the diagonals have to be prime numbers, and they have to be able to be sides of a triangle, the formula would be 6<x<16. The prime numbers in this group are 7, 11, and 13. Since 7 is the smallest prime number in this group and 13 is the largest, 7+13=20.
Answer:
Step-by-step explanation:
To avoid confusion, distribute that negative.
I am joyous to assist you anytime.
Answer:
B
Step-by-step explanation:
We want to find the equation of a line with a slope of 3 that includes the point (0, 5).
We can use the slope-intercept form, given by:
Where m is the slope and b is the y-intercept.
Notice that the given point (0, 5) is already the y-intercept. So, b = 5.
By substitution, we acquire:
Hence, our answer is B.
