Answer:
x = 6
Step-by-step explanation:
4x-1=2x+11
Subtract 2x from each side
4x-2x-1=2x-2x+11
2x-1 =11
Add 1 to each side
2x-1+1 = 11+1
2x = 12
Divide by 2
2x/2 = 12/2
x = 6
Perpendicular slope is 4/5
Solution:
<u>We know the following rules:</u>
- Rule: If an exponent is negative, it will be in the fraction 1/nˣ.
- Rule: If an exponent is positive, it will be in whole number form and will multiply itself m times.
- Rule: if a number's exponent is 0, then the number is 1.
Now, let's solve each problem.
<u>Question-7</u>
- 4³ = 4 x 4 x 4 = 64
- 4² = 4 x 4 = 16
- 4¹ = 4
- 4⁰ = 1
<u>Question-8</u>
- (-2)³ = (-2) x (-2) x -(2) = -8
- (-2)² = (-2) x (-2) = 4
- (-2)¹ = -2
- (-2)⁰ = 1
Hoped this helped!
Solution:
Given equation: h = -0.5x² + x + 12
h = 0.5
-0.5x² + x + 12 = 0.5
-0.5x² + x + 11.5 = 0
Find the roots of quadratic equation.
x = ((-b )+- √(b² - 4ac))/2a
= ((-1 )+- √(1² - 4*(-0.5)*(11.5)))/2(1)
= -3.9, 5.9
The distance will not be negative.
Hence, the distance is 5.9.
A quart is one half of a quart and a half is half of a gallon. A gallon is four quarts.
