9514 1404 393
Answer:
D. 7
Step-by-step explanation:
The equation is ...
x = a(y +1)² -3
For the point (x, y) = (4, 0), we have ...
4 = a(0 -1)² -3
7 = a . . . . . . . . . . . . add 3, simplify
The leading coefficient is 7.
Answer:
2 · 7 · 4 + 2 · 10 · 7 + 2 · 4 · 10
2(10 · 4 + 10 · 7 + 4 · 7)
Step-by-step explanation:
Given dimensions of the square prism:
- length = 7 units
- width = 4 units
- height = 10 units
In order to find the surface area, we must find the area of each face.
Area of a rectangle = width x length
The square prism has 3 pairs of faces:
SA of bases = 7 x 4
SA of side 1 = 4 x 10
SA of side 2 = 7 x 10
So the total surface area is
2(7 x 4) + 2(4 x 10) + 2(7 x 10) = 276 units squared
<u>Solutions</u>
2 · 7 · 4 + 2 · 10 · 7 + 2 · 4 · 10
2(10 · 4 + 10 · 7 + 4 · 7)
A is the only number line that correctly shows the locations of all given values.
Answer=A
***EDIT***
Okay, so if you look at the number line, you notice that the distance between one line and the next is equal to 1/4. When we move to the left, we decrease in value. When we move to the right, we increase in value.
So, knowing that, lets look at A and see if all of the numbers are correctly placed.
1/2 should be two lines to the right of 0 (since distance between one line and the next is equal to 1/4, and 1/4+1/4=2/4 or 1/2)
-4 is a relatively easy value to find, since its line is labeled.
-2 3/4 should be three lines to the right of -2 (since distance between one line and the next is equal to 1/4, and 1/4+1/4+1/4=3/4 and if you go 3/4 to the left of -2 u get -2 3/4)
(-2-3/4=-2 3/4)
1 1/4 should be three lines behind 2 (since distance between one line and the next is equal to 1/4, and 1/4+1/4+1/4=3/4 and if you go 3/4 to the left of 2 you get 1 1/4)
(2-3/4=1 1/4)
Answer:
x=2
Step-by-step explanation:
add 3 to each side to isolate the 3x alone on one side
3x=6/ divide by 3 to isolate and simplify
x=2
There are 5 pennies in a nickel, and 10 pennies in a dime. Now in $3.90 there are 390 pennies.
n = number of nickels in the pile
d = number of dimes in the pile
we know the pile has 55 coins, therefore whatever "n" and "d" are, we know that
n + d = 55.
now, "n" is how many nickel coins are there, how many pennies is it in total? well, 5 pennies to a nickel, for "n" nickels, will then be 5(n) or
5n.
and "d" is how many dime coins are there, so therefore in "d" coins, there are 10(d) pennies, or
10d.
we also know the total amount of pennies is 390, therefore
5n + 10d = 390.

how many nickel coins are there anyway? well, n = 55 - d.