Answer:
The answer is 162.
Step-by-step explanation:
To find the percentage of a number:
Turn the percentage into a decimal. 90% to .90
Multiply the decimal by the number you want to find the percentage of. .90 x 180
The answer is the product.
The property used is the Associative property
3 × 70 = 3(70) = 3 (7×10) = (3×7) ×10
The formula is
a × bc = a (bc) = a (b×c) = (a×b) ×c
Answer:
Step-by-step explanation:
Okay, so I think I know what the equations are, but I might have misinterpreted them because of the syntax- I think when you ask a question you can use the symbols tool to input it in a more clear way, otherwise you can use parentheses and such.
Problem 1:
(x²)/4 +y²= 1
y= x+1
*substitute for y*
Now we have a one-variable equation we can solve-
x²/4 + (x+1)² = 1
x²/4 + (x+1)(x+1)= 1
x²/4 + x²+2x+1= 1
*subtract 1 from both sides to set equal to 0*
x²/4 +x^2+2x=0
x²/4 can also be 1/4 * x²
1/4 * x² +1*x² +2x = 0
*combine like terms*
5/4 * x^2+2x+ 0 =0
now, you can use the quadratic equation to solve for x
a= 5/4
b= 2
c=0
the syntax on this will be rough, but I'll do my best...
x= (-b ± √(b²-4ac))/(2a)
x= (-2 ±√(2²-4*(5/4)*(0))/(2*(5/4))
x= (-2 ±√(4-0))/(2.5)
x= (-2±2)/2.5
x will have 2 answers because of ±
x= 0 or x= 1.6
now plug that back into one of the equations and solve.
y= 0+1 = 1
y= 1.6+1= 2.6
Hopefully this explanation was enough to help you solve problem 2.
Problem 2:
x² + y² -16y +39= 0
y²- x² -9= 0
Answer:m=d/V
Step-by-step explanation:
To solve for m, you must divide V from each side. Leaving you with m=d/V. Hope this helped:)
Given:
CDEF is dilated by a scale factor of 
to form the quadrilateral C'D'E'F'.
To find:
The measure of side E'F'.
Solution:
If a figure is dilated by a scale factor of k, then the side of dilated figure is k times of corresponding side of original figure.
CDEF is dilated by a scale factor of to form the quadrilateral C'D'E'F'. So,
From the given figure it is clear that 
. So,
Therefore, the measure of side E'F' is 9 units.
