Answer:
? = (x + 7)
Step-by-step explanation:
2x^2 + 15x + 7 = (2x + 1) (?)
1. First you need to figure out what multiplied by 2x will give you 2x^2, which is x.
2. Then you need to find what would give you 15x. In this case because you have the 1 in (2x + 1), you already know that there is going to be an extra x. So, what times 2x gives you 14x? It's 7.
3. Lastly you need to make sure that 1 multiplied with 7 is equal to 7 and combine like terms.
4. Check: (2x + 1) (x + 7) =
2x^2 + 14x + 1x + 7 =
2x^2 + 15x + 7
Lateral surface area = (23×12.04)+(23×8)+(23×9)
= 276.92 + 184 + 207
=667.92
= 668m²
Total surface area = 668 + 1/2(2×8×9)
= 668 + 72
= 740m²
Problem 33
Use the distributive property on the side containing parentheses of each expression and compare it to the other side.
a) 3(5a + 3) = 15a + 9 not equal to 15a + 6
b) 2(7b - 2) = 14b - 4 not equal to 14b + 4
c) 5(2c + 3) = 10c + 15 not equal to 7c + 8
d) 3(d + 5/3) = 3d + 5 which is equal to 3d + 5
Answer for problem 33: d)
Problem 34
Use a proportion. Let the unknown number of bowls be x. The proportion is made up of two ratios that are set equal to each other. Set each ratio as a ratio of the number of avocados per bowls of guacamole. 3 avocados per 1 bowl (3/1) equals 17 avocados per x bowls (17/x).
Answer: 17/3 full bowls which is the same as 5 2/3 full bowls.
Answer & Explanation:
To find the direction cosines of the vector a is need to divided the corresponding coordinate of vector by the length of the vector. The coordinates of the unit vector is equal to its direction cosines. Property of direction cosines. The sum of the squares of the direction cosines is equal to one.
