Answer:
The resulting equation is
x^2/4+16x^2/9=1
Step-by-step explanation:
The given equations are:
3y=12x eq(1)
x^2/4+y^2/9=1 eq(2)
We need to isolate variable y in equation 1
Divide both sides of the equation with 3
3y/3 = 12x/3
y = 4x
Now, substitute the value of y=4x in second equation
x^2/4+y^2/9=1
x^2/4 + (4x)^2/9 = 1
The resulting equation is
x^2/4+16x^2/9=1
Answer:
The length is 12 inches.
Step-by-step explanation:
The volume of a rectangular prism is given by:
V=LBH
It was given that; the rectangular prism has a volume of 600 cubic inches.
The height of the prism is 5 inches and the width is 10 inches.
We want to find the length of the rectangular prism.
We substitute V=600, H=5,and W=10 into the formula:
600=5×10×L
600=20L


Using the Pythagorean theorem:
X = sqrt(26^2 - 10^2)
X = sqrt(676-100)
X = sqrt(576)
X = 24
Answer: 24
Answer:
A) Write an inequality in two variables that represents the possible numbers of boys b and girls g in the class
hope this helps
Answer:

Step-by-step explanation:
This is asking you to provide the equation is slope-intercept form:

In this equation, m is the slope of the line and b is the y-intercept (where the x value is 0).
By looking at the graph, we can find the y-intercept:

To find the slope of the line, you can count how many spaces it takes to go from one point to another. To do this, it's best to find an even point (1,4) and make your way to (0,7).
The slope is represented by
, where the rise is the change in the y-axis and the run is the change in the x-axis.
From (1,4) , move up (rise) as many spaces as it takes to get to the y-axis level of "7", which is 3 spaces. From here, move to the left (run) as many spaces as it takes to get to the x-axis level of "0", which is 1 space. Since you moved to the left, however, this means that the number will be a negative:

The slope is -3.
Insert the information into the equation:

:Done