Complete question :
A 48 inch board in to be cut into three pieces so that the second piece is twice as long as the first, and the third piece in 3 times as long as the first. If x represents the length of the first, find the lengths of all three
Answer:
Length of first piece = x = 8
Length of second = 2x = 8*2 = 16
Length of third = 3x = 8 * 3 = 24
Step-by-step explanation:
Let :
Length of first piece = x
Length of second = 2x
Length of third = 3x
The total lengtb of board = 48 inches
Hence,
First + second + third = 48
x + 2x + 3x = 48
6x = 48
x = 48 / 6
x = 8
Length of first piece = x = 8
Length of second = 2x = 8*2 = 16
Length of third = 3x = 8 * 3 = 24
Answer:
x = 0.781 , y = -1.219
and
x = -1.281 , y = -3.281.
Step-by-step explanation:
Since both of the x terms are equal to y we can equate the x terms:-
-2x^2 = x - 2
2x^2 + x - 2 = 0
x = [-1 +/- √(1^2 - 4*2*-2) ] / 4
= ( - 1 +/- √(17)) / 4
= 0.781, -1.281.
When x = 0.781 y = 0.781 - 2 = -1.219.
when x = -1.281 , y = -1.281 - 2= -3.281.
Answer:
6.04 km
Step-by-step explanation:
From the image attached, both triangles form are similar to each other because their corresponding angles are equal, therefore they are equiangular triangles. equiangular triangles have the same shape but different sizes and the ratio of their corresponding sides are equal.
Therefore since their corresponding sides are equal we can calculate the distance from the main gate to Manatee Springs. It is given by:
x = 2400 yards.
The distance from the main gate to Manatee Springs = x + 4200 yards = 2400 + 4200 = 6600 yards
The distance from the main gate to Manatee Springs = 6600 yards = (6600 * 0.0009144) km = 6.04 km
The distance from the main gate to Manatee Springs = 6.04 km
For this item, I assume that Svetlana's hair is 4 cm long and she wanted it to be at least 7 cm long.
We let x be the number of months it will take for her hair to be 7 cm long. The sum of the product of x and the rate and the initial length should be at least 7. Mathematically,
1.51x + 4 ≤ 7
perpendicular lies have negative reciprocal slopes
M=5 so m=-1/5
Choice D
