Answer:(1, -3).
Step-by-step explanation:
If y=2x-5 is equation (1) and 4x-y=7 is equation (2), then substitute equation (1) in equation (2):
4x - (2x - 5) = 7
4x - 2x + 5 = 7
2x = 7-5
2x = 2
x = 1
Now substitute the value of x in equation (1) to find the value of y:
y = 2 (1) - 5
y = 2 - 5
y = -3
Answer:
4
Step-by-step explanation:
Let y be the width of the rectangle
The length of the rectangle is 5 unit more than the width. This is written as:
Length = y + 5
Area = 36
Recall:
Area of rectangle = length x width
36 = (y + 5) x y
36 = y^2 + 5y
Rearrange the expression
y^2 + 5y — 36 = 0
To solve this problem by factorization, multiply the first term (i.e y^2) and last term ( i.e — 36) together. This gives — 36y^2
Next, find two factors of —36y^2 such that when we add them together it will result to the second term (5y). These factors are —4y and 9y. Now we substitute —4y and 9y in place of 5y in the equation. This is illustrated below:
y^2 + 5y — 36 = 0
y^2 —4y + 9y — 36 = 0
We factorize as follows:
y(y — 4) + 9(y —4) = 0
(y + 9) (y — 4) =0
y + 9 = 0 or y — 4 = 0
y = —9 or y = 4
Since the measurement can not be negative, therefore y (i.e the width) is 4
Answer:
8
Step-by-step explanation:
You always start with the equasions in parenthesis. 3-1 is 2 and 8 divided by 2 is 4. Then you can move on to the next part of the eqasion. You start by subtracting 2 from 5 and then multiplying that by 2.then you add up the answers and you gat 8.
Answer:
The answer to your question is: x = - 1 / 8
Step-by-step explanation:
8( 1 - 5x ) = 13
8 - 40x = 13
- 40x = 13 - 8
- 40x = 5
x = - 5 / 40
x = - 1 / 8
Answer:
b. 314 yards squared
Step-by-step explanation:
Area of a circle = πr²
radius (r) of the circle = ½(20yd) = 10 yd
π = 3.14
Plug in the values into the formula
