Answer:
d = 17.5499287748 inches or 17.5 inches to 1 decimal place
Step-by-step explanation:
find the diagonal line passing through the middle of the bottom rectangle:
a² + b² = c²
10² + 8² = c²
100 + 64 = 164
c² = 164
c = √164
c = 12.8062484729
find d:
a² + b² = c²
12² + 12.80624847298² = c²
144+ 164 = 308
c² = 308
c = √308
c = 17.5499287748
therefore d = 17.5499287748 inches or 17.5 inches to 1 decimal place
How to get answer by Mimiwhatsup:
6(12m+12b−2b)
=(6)(12m+12b+−2b)
=(6)(12m)+(6)(12b)+(6)(−2b)
=72m+72b−12b
=60b+72m
Answer:
(-3, 7)
Step-by-step explanation:
It is like putting a mirror on the y-axis. It is asking what point is the photo negative of the point, like a mirror. You see yourself in the mirror but everything is opposite. Your right hand is your left. So which point is the photo negative of (3, 7)? (-3, 7) Because it is only across the y-axis, the y value stays the same.
Graph #1: No
Graph #2: Yes
Graph #3: No
Graph #4: No
Graph #5: No
Graph #6: Yes
Reasoning:
The vertical line test is a test that determines wether a graph is a function or a relation. The vertical line test shows that if you construct a vertical line through any point on the graph, then the vertical line should only intercept the graph once for it to be a function.
Answer:
x = 3.25
y =4.75
Step-by-step explanation:
In order to Solve the following system of equations below algebraically using substitution method we say that;
let;
8x - 4y = 7
..................... equation 1
x + y = 8.......................... equation 2
from equation2
x + y = 8.......................... equation 2
x = 8 - y.............................. equation 3
substitute for x in equation 1
8x - 4y = 7
..................... equation 1
8(8-y) - 4y = 7
64-8y-4y=7
64-12y=7
collect the like terms
64-7 = 12y
57= 12y
divide both sides by the coefficient of y which is 12
57/12 = 12y/12
4.75 = y
y =4.75
put y = 4.75 in equation 3
x = 8 - y.............................. equation 3
x = 8 -4.75
x = 3.25
to check if your answer is correct, put the value of x and y in either equation 1 or 2
from equation 2
x + y = 8.......................... equation 2
3.25 + 4.75 =8
8=8.................... proved
