Answer:
y =-5/4x +11/2
Step-by-step explanation:
First we need to find the slope of the line
4x-5y = 10
Solve for y
Subtract 4x from each side
4x-4x-5y =-4x-10
-5y = -4x-10
Divide by -5
-5y/-5 = -4x/-5 -10/-5
y = 4/5x +2
The slope is 4/5
The slope of a line that is perpendicular is the negative reciprocal
m perpendicular = - (5/4)
We know have a slope = -5/4 and a point (2,3)
We can use the point slope form of a line
y-y1 = m(x-x1)
y-3 = -5/4 (x-2)
Distribute
y-3 =-5/4x +10/4
Add 3 to each side
y-3+3 = -5/4 x +5/2 +3
Get a common denominator
y = -5/4x +5/2 +6/2
y =-5/4x +11/2
Answer:
11
Step-by-step explanation:
Trapezoid area = (base1 +base2) x h/2
=> Base2 =[Area x 2/h]-base1 = [98.8 x 2/7.6] - 15 = 26-15=11
2 of Caroline's marbles are blue.
First, you distribute the 3 into the brackets,
<span>3(x - 2) + 5x
=</span><span>3(x) + 3(-2) + 5x
=3x - 6 + 5x
Adding the like terms, 3x and 5x, gives you
=8x - 6</span>
Answer: Kavitha is 18 and Lizzy is 27
Step-by-step explanation: 8 years ago, Kavitha was 10 and Lizzy was 19.
10 × 2 = 20
20 - 1 = 19
Kavitha is 9 years younger than Lizzy because 27 - 9 = 18