Answer:
2550yards
Step-by-step explanation:
Perimeter of a rectangle = 2L + 2W
L is the length
W is the width
If perimeter of a rectangle is 425 yards, then;
425 = 2L + 2W
425 = 2(L+W)
L+W = 425/2 .... 1
If the length and width of the rectangle are each multiplied by 6
P = 6(2L) + 2(2W)
P = 12L + 12W
P = 12(L+W) .... 2
Substitute 1 into 2
P = 12(425/2)
P = 6*425
P = 2550yd
Hence the perimeter of new triangle is 2550yards
Answer:
x = 1, y = 60
Step-by-step explanation:
Value of new-releases (x) = $20 each
Value of classic (y) = $8 each
Total budget = $500
Equation : 20x + 8y = 500
The librarian wants to purchase maximum DVDs. She can get more DVDs of classic movies for $8 as they are less costly.
Lets assume the librarian buys at least one new-release DVD.
x=1
20x + 8y = 500
8y + 20(1) = 500
y = 60
<em>Therefore, in a budget of $500, the librarian can purchase 60 classic movies and 1 new-release.</em>
!!
Answer:
Step-by-step explanation:
The first parabola has vertex (-1, 0) and y-intercept (0, 1).
We plug these values into the given vertex form equation of a parabola:
y - k = a(x - h)^2 becomes
y - 0 = a(x + 1)^2
Next, we subst. the coordinates of the y-intercept (0, 1) into the above, obtaining:
1 = a(0 + 1)^2, and from this we know that a = 1. Thus, the equation of the first parabola is
y = (x + 1)^2
Second parabola: We follow essentially the same approach. Identify the vertex and the two horizontal intercepts. They are:
vertex: (1, 4)
x-intercepts: (-1, 0) and (3, 0)
Subbing these values into y - k = a(x - h)^2, we obtain:
0 - 4 = a(3 - 1)^2, or
-4 = a(2)². This yields a = -1.
Then the desired equation of the parabola is
y - 4 = -(x - 1)^2
Increments of 100,000.
0 - 1,000,000
Essentially 0, 100,000, 200,000, 300,000, etc.
Answer:
98
Step-by-step explanation:
we're doing PEDMAS, so do Exponents first.
3² = 9
8 + 10 x 9
Multiply
8 + 90
Add
98
