Answer:
4.4 < x
Step-by-step explanation:
Let us break this down so we can understand it.
Step 1: Add 4 & First Answer
4.4 < x
Step 2: Check
0.4 < 4.4 - 4
0.4 < 0.4 Correct
0.4 < 6 - 4
0.4 < 2 Correct
Step 3: Final Answer
Our final answer is 4.4 < x
PLEASE MARK BRAINLIES
Remark
Perpendicular slopes are found by using the formula m1*m2 = - 1. That is followed by using the given point to determine the y intercept.
Solution
<em><u>Step One</u></em>
Find the slope of the new line
m1 = - 1/3
m2 = ??
m1 * m2 = - 1
(-1/3) * m2 = - 1
You could continue by changing (-1/3) to a decimal.
(-0.3333333333) * m2 = -1 Now divide by the decimal
m2 = - 1/ (-0.3333333333)
m2 = 3 which is what my calculator tells me the answer is.
<u>Step Two</u>
So far what you have is
y = 3x + b
Use the point (-3, -7) to get the y intercept.
-7 = 3(-3) + b
b - 9 = - 7
b = -7 + 9
b = 2
y = 3x + 2 Answer
Graph
The graph shown below is both lines plotted in desmos. The red line is y = 3x + 2 which is perpendicular to the given graph y = (-1/3)x +5 which is in blue.
The green dot is the point (-3 , - 7)
Answer:
12 hr. mowing lawns
28 hr. working at Mc Donalds
Step-by-step explanation:
Let t = time mowing lawns
then 40 - t = time working at McDonalds
7,5(40 - t) + 6t = 282
300 - 7.5t + 6t = 282
-1.5t = -18
t = 12 hr. mowing lawns
40 - t = 40 - 12 = 28 hr. working at Mc Donalds
Answer:
40.5 square inches
Step-by-step explanation:
Rectangle consists of two identical squares.
So, if the sides of square = x,
Then, Width of rectangle = x &
Length of rectangle = x +x = 2x
Perimeter of rectangle = 27 inches
2*(length + width) = 27
2*( 2x + x) = 27 {Combine like terms]
2* 3x = 27
6x= 27 {Divide both sides by 6}
x = 27/6
x = 4.5
Width = x = 4.5 inches
Length = 2x = 2*4.5 = 9 inches
Area of rectangle = length *width
= 4.5 *9
= 40.5 square inches