Multiply the first equation by 7 and the second equation by 2, and then add.
Step-by-step explanation:
2f - 5g=-9
-7f + 3g=4
To eliminate any variable , we need to make the coefficients same with different sign and add it
the coefficient of 'f' in first equation is 2
the coefficient of 'f' in second equation is -7
We already have different sign so we make the coefficients same
To make the coefficient same , we multiply the first equation by 7 and second equation by 2
So equation becomes
14f - 35g = -63
-14f + 6g = 8
Now when we add both equations, 'f' gets cancelled
-29g = -55
Answer:
The height of the tent = 3 feet
Step-by-step explanation:
Syrus is buying a tent with the dimensions shown below. The volume inside the tent is 36 feet^3. Syrus isn't sure if the tent will be tall enough for him to sit up inside. The tent is the shape of triangular prism whose length is 6 feet and width is 4 feet. What is the height of the tent?
Given:
Length of the tent = 6 feet
Width of the tent = 4 feet
Volume of the tent = 36
Solution:
Since the ten is in shape of triangular prism, so the volume of traingular prism is given as:
where represents length, represents width and represents height of the prism.
Plugging in the know values of the dimension of the tent and the volume to find the height of the tent.
Simplifying.
\frac{36}{12}=\frac{12h}{12}
3=h
∴ h=3
Thus, the height of the tent = 3 feet
Answer:
The area of a rectangular vegetable garden is 200ft^2 . The width is 10 ft. What is the lenght of the vegetable garden?
403.2 cubed inches because 3 times 4 times 3.14 is 403.15 which rounds to 403.2