Answer:
x=2 and y= -2
Step-by-step explanation:
Substitute y=x-4 in second equation
x-4=4x-10
get x terms on one side and numbers on other sides
4x-x=10-4
3x=6
divide 3 on both sides
x=2
substitute x=2 in y=x-4
y=2-4
y= -2
Answer:
f(-3) = 16
Step-by-step explanation:
Given:
f(x) = 2x² + x + 1
Required:
f(-3)
Solution:
Substitute x = -3 into f(x) = 2x² + x + 1
f(-3) = 2(-3)² + (-3) + 1
f(-3) = 2*9 - 3 + 1
f(-3) = 18 - 3 + 1
f(-3) = 16
Answer:
500
Step-by-step explanation:
Answer:
Joshua walked 48 feet in total.
Step-by-step explanation:
To find the total distance we need to sum every distance that he walked. We have:
- First: Joshua walked down the hall to the door = 14 feet
- Second: He continued in a straight line out the door and across the yard to the mailbox = 24 feet
- Third: He came straight back across the yard and stopped to pet his dog = 10 feet
Hence, the total distance is:
Therefore, Joshua walked 48 feet in total.
I hope it helps you!
Answer:
∠ G = 26°, ∠ F = 154°
Step-by-step explanation:
Express ∠ F in terms of ∠ G, that is
F = 6G - 2
and since the angles are supplementary, then
G + 6G - 2 = 180, that is
7G - 2 = 180 ( add 2 to both sides )
7G = 182 ( divide both sides by 7 )
G = 26
Thus
∠ G = 26° and ∠ F = 6(26) - 2 = 156 - 2 = 154°
