Answer:
Step-by-step explanation:
The equation is mx+b=y.
M=slope (in this case 5)
x=x coordinates
b=y intercept
y=y coordinates
For the x and y coordinates, I'll use (2,0).
5(2)+_=0
10+_=0.
In this case, we only have one awnser, -10. Since 10+(-10) are the only ways to equal 0.
Hope this helps,
Answer:
Length, l = 11 ft.
Width, w = 9 ft.
Step-by-step explanation:
From the given data, the area of the rectangle = 99 ft².
Area of the rectangle = Length, l X Width, w
Here, Length, l = 7 more than twice the width
⇒ Length, l = 7 + 2w
Therefore, Area, A = 99 = (7 + 2w)w
⇒ 99 = 7w + 2w²
⇒ 2w² + 7w - 99 = 0
Solve the Quadratic equation using the formula: x = 
for the quadratic equation ax² + bx + c = 0.
Therefore, w = 
Since, 
we get:
This gives two values of 'w', viz., w = 
, 
⇒ w = 
, -9.
We take the integer values.
If w = -9, then l = 2(-9) + 7
⇒ l = - 18 + 7 = - 11
Therefore, the length, l of the rectangle = - 11 ft.
and the width, w of the rectangle = - 9 ft.
Hence, the answer.
Answer:
18
Step-by-step explanation:
8 3/4 + 9 2/8
We can simplify 2/8 by dividing the top and bottom by 2
8 3/4 + 9 1/4
Add the whole numbers
8+9 = 17
3/4 + 1/4 = 4/4 = 1
Add this to the whole numbers
17+1 = 18
Let x and y be the two unknown numbers. If one number, say x,is 5 more than 3 times another, say y, the equation would be
x = 5 + 3y
When their difference is 35, x-y = 35, since x is the much larger number here. We substitute x to solve for the smaller number, y.
x - y = 35
(5 + 3y) -y = 35
5 +2y = 35
2y = 35-5
2y = 30
y = 15
The larger number x would be
x = 5 + 3(15)
x = 50
The answer is 50.
