Answer:Yes they are equivalent.
Step-by-step explanation:
3/4a + 8 - 1/4a - 2 1/2(a + 12)
Combine like terms Distributive property
2/4a+6 1/2a+6
2/4=1/2 (simplify)
1/2+6=1/2+6
Answer:
The x-intercepts are
(x1,y1)=(4,0)
(x2,y2)=(6,0)
Step-by-step explanation:
we know that
The equation of the given parabola is

we have
the vertex is the point (5,-4)
substitute

The y-intercept is the point (0,96)
substitute and solve for a



The equation of the vertical parabola is equal to

Find the x-intercepts
Remember that
The x-intercepts are the values of x when the value of y is equal to zero
For y=0

Simplify

Rewrite

square root both sides




therefore
The x-intercepts are
(x1,y1)=(4,0)
(x2,y2)=(6,0)
Answer:
1.5×2.5/2=1.875.
Step-by-step explanation:
We all know that area of triangle is base into hight upon 2.
To find the percentage of a number, you take the percent - 5% - and change it to a decimal by moving the percent over 2 times to the left and multiplying it by the number. So...
.05 x 63
= 3.15
Answer: 5% of 63 is 3.15
Answer: 21 & 18
Step-by-step explanation:
Sum of two numbers is 39
Difference is 3
Let the numbers be x & y
X+y=39........equation 1
X-y=3...........equation 2
X=3+y............equation 3
Substitute equation 3 into equation 1
(3+y)+y=39
3+y+y=39
3+2y=39
2y=39-3
2y=36
Y=36/2
Y=18
Substitute for y in equation 2
X-y=3
X-18=3
X=3+18
X=21
The two numbers are 21 & 18