Answer:
70x³ - 73x² - 155x + 168
Step-by-step explanation:
Given
(5x - 7)(2x + 3)(7x - 8) ← expand the first pair of factors using FOIL
= (10x² + x - 21)(7x - 8)
Each term in the second factor is multiplied by each term in the first factor, that is
10x² (7x - 8) + x(7x - 8) - 21(7x - 8) ← distribute the 3 parenthesis
= 70x³ - 80x² + 7x² - 8x - 147x + 168 ← collect like terms
= 70x³ - 73x² - 155x + 168
Answer:
1 mile is mapped to 0.3428 inches i.e. unit rate is 0.3428 inches/mile.
Step-by-step explanation:
Given that the scale of the map is
inches =
miles ....... (1)
Now, we have to convert this map scale to a unit rate.
And the unit rate is the number of inches per mile.
As the scale is constant, therefore from the the relation (1) we get
1 mile =
inches.
Therefore, 1 mile is mapped to 0.3428 inches i.e. unit rate is 0.3428 inches/mile. (Answer)
Well, the area of a trapezoid is A = (

+

) * h * 1/2 so you can use the area of a parallelogram, which is A = l * w, by splitting the trapezoid into 2 triangles and one rectangle. So you'd use A = l * w for the rectangle and A = 1/2bh for the triangles. You'd get the same answer!
Answer:
the third one is your answer
Step-by-step explanation:
Solving for the missing term and the missing coefficient (6a − )5a = ( ) a^2 − 35a
Let the missing term be X
Let the missing coefficient be Y
Therefore, (6a – X)5a = Y(a^2) – 35a
6a x 5a – X.5a = Y.a^2 – 35a
30a^2 – X.5a = Y.a^2 – 35a
Equating co-efficients,
30a^2 = Y.a^2; X.5a = 35a
30 = Y; 5X = 35
Y = 30; X = 7
Therefore, (6a-7)5a = 30 a^2 – 35a
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