The midpoint lines are half the opposite side length.
Line DE is given as 7 , So Line F = 7 x 2 = 14
Line EF is given as 12, so Line D = 12 x 2 = 24
Line DF is given as 16, so line E = 16 x 2 = 32
The perimeter is the sum of the 3 sides:
Perimeter = 14 + 24 + 32 = 70
Use the Pythagorean theorem since you are working with a right triangle:
a^2+b^2=c^2a2+b2=c2
The legs are a and b and the hypotenuse is c. The hypotenuse is always opposite the 90° angle. Insert the appropriate values:
0.8^2+0.6^2=c^20.82+0.62=c2
Solve for c. Simplify the exponents (x^2=x*xx2=x∗x ):
0.64+0.36=c^20.64+0.36=c2
Add:
1=c^21=c2
Isolate c. Find the square root of both sides:
\begin{gathered}\sqrt{1}=\sqrt{c^2}\\\\\sqrt{1}=c\end{gathered}1=c21=c
Simplify \sqrt{1}1 . Any root of 1 is 1:
c=c= ±11 *
c=1,-1c=1,−1
Hey there!
There are 4 cups in one quart. So there would be 8 cups in 2 quarts. Divide 2.72 by 8. 0.34 is what you get. So the price per cup of yogurt is $0.34.
I hope this helps!
Answer:
a) y-intercept is 4000
b)T(18)=5710
Step-by-step explanation:
a) This is the equation of a line with slope 95 and y-intercept 4000.
The y-intercept represents the basic amount the student has to pay even if not taking any unit: $4000
b) T(18) represents the total amount to be paid by a student who is taking 18 units: T(18) = 4000 + 95*18 = 4000 + 1710 = 5710
So a total tuition of $5710
Answer:
x2+8x+16
Step-by-step explanation:
Multiply (x+4)(x+4) to create the polynomial
