Answer:
7
Step-by-step explanation:
x + 3 : x + 8 : : 2 : 3
(x + 3) \times 3 = (x + 8) \times 2 \\ 3x + 9 = 2x + 16 \\ 3x - 2x = 16 - 9 \\ x = 7 \\ x + 3 = 7 + 3 = 10 \\ x + 8 = 7 + 8 = 15 \\
10 : 15
2 : 3
Green family=15n
n is number of hours
Bryant family= 40x
x is number of hours
15n+40x=1450L
n+x=55
use simultaneous equations
(15n+40x=1450)-(15n+15x=825)
25x=625
x=25hours
n=55-x
n=55-25=30hours
Answer:
y=3x-9
Step-by-step explanation:
Hi there!
we are given a point (4,3), and a line (y=-1/3x+4)
Perpendicular lines have slopes that are negative and reciprocal; if they are multiplied together, the result is -1
first, let's find the slope of the new line.
we can find it with this formula: (m=slope)
-1/3m=-1
multiply both sides by -3
m=3
here's our equation so far, written in y=mx+b form, where m is the slope and b is the y intercept
y=3x+b
we need to find b
Because the line passes through the point (4,3), we can use it to find b
substitute x as 4 and y as 3
3=3(4)+b
multiply
3=12+b
-9=b
substitute into the equation
<u>y=3x-9</u>
Hope this helps!
9514 1404 393
Answer:
B. horizontal stretch by a factor of 3
Step-by-step explanation:
Replacing x by x/k in a function causes its graph to be stretched horizontally by a factor of k. (This makes sense because it means x needs to be k times as large to give the same argument to the function.)
Here, the value of k is 3, so the function graph is horizontally stretched by a factor of 3.
Answer:
8.54
Step-by-step explanation:
formula:
d= 8.54
