Evaluate the expression for the given value of the variable. |-3x-4|+|2-x^2 |-4x; x=-3
2 answers:
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Step-by-step explanation:
Pathagory and Theorem
a^2+b^2=c^2
(x-3)^2+(x-4)^2=6^2
expand:
2x^2-14x+25=36
2x^2-14x-11=0
x=(\sqrt{71}+7)/2
perimeter=(x-3)+(x-4)+6=2x-1
insert the value for x into 2x-1
+6=perimeter
Hope that helps :)
Explanation:
x + 3y = 2
<u>Converting it to slope intercept form</u>:
y = mx + b [where m is slope, b is y-intercept]
<u>Make y the subject</u>:
<u>which reveals slope</u>:
The height of crate is 3 feet
<em><u>Solution:</u></em>
Given that Summer Dave builds a crate to hold vegetables
Volume of crate = 48 cubic feet
Base area of crate = 16 square feet
To find: height of crate
The crate is of shape cuboid
The volume of cuboid is given as:
We know that,
Therefore, volume becomes,
Substituting the given values we get,
Thus height of crate is 3 feet