Answer:
-12g^2+7h
Step-by-step explanation:
= −4g^2+−8g^2+7h
= (−4g^2+−8g^2)+(7h)
= −12g^2+7h
Answer:
(3, 2) is the ordered pair for the given system of equations.
Step-by-step explanation:
Given:
2 x+ y = 8.......................(i)
y = - x + 5........................(ii)
<u>Put y = - x + 5 in equation (i)-</u>
<em>2 x + ( - x+ 5) = 8</em>
<em>2 x - x + 5 = 8</em>
<em>x = 8 - 5</em>
<em>x = 3</em>
<u>Now put x = 3 in equation (ii)-</u>
<em>y = - 3 + 5</em>
<em>y = 2</em>
Hence the (3, 2) is the correct ordered pair.
To determine the length of the stones he will need to go around his patio, Lorenzo will need to find the perimeter of the patio.
To find the perimeter, you will need to know the length and the width of the rectangle.
The width us 12 feet, and the length is 14 feet (12 +2).
P = 2l +2w
2 x 14 + 2 x 12
P = 52 feet
Lorenzo will need at least 52 feet of stone to go around his patio.
Greetings!This a line/equation represented in the
slope y-intercept form:
1)
Coordinates of a point in the line are shown by
y and
x.
2) The variable
m represents the
slope of the line.
3) The variable
b represents the
y-intercept (when the line hits the y-axis) of the line.
We only need 2 pieces of the information (listed above) in order to graph the line.
Using the information provided by the equation...
...we can graph the line.
We know that the slope is 3 (also shown as
) as m=3 We also know one of the coordinate points (0,-2) due to the y-intercept. Now, we can graph:
1) Plot your first coordinate point.
2)
Your next point would be 3 sqaures up and 1 square to the right (or 3 sqaures down and 1 square to the left; Doesn't really matter as:
This would result in a second coordiante point of
(1,1) Now that you have two points on the plane, you can use a ruler and pencil to connect the points, forming the line which represents the equation.
Hope this helped!
-Benjamin