Answer:
C and E are not on the line.
Step-by-step explanation:
Just substitute for the x and the y and see which ordered pair fits and which does not:
If Left side of the equation = right side then the point fits.
A. y = -3
-2x+5 = -2(4) + 5 = -3 So A is on the line
B. y = 9
-2(-2) + 5 = 9 So this point does lie on the line.
C. y = 1
-2(3) + 5 = -1 No.
D. y = 7
-1(-1) + 5 = 7 YES.
E. y = 1
-2(1) + 5 = 3 NO.
Answer:
No
Step-by-step explanation:
She has everything correct but one thing. In order to have her answer correct, she must put the 9 in front of the 7 because the bigger number needs to go in front.
Remark
There is no short way to do this problem and no obvious way to get the answer other that to solve each part.
Solve
A
Multiply by 2
x + 1.6 = 2(x + 0.1) Remove the brackets
x + 1.6 = 2x + 0.1*2
x + 1.6 = 2x + 0.2 Subtract x from both sides
1.6 = x + 0.2 Subtract 0.2 from both sides
1.6 - 0.2 = x
1.4 = x
Circle A
B
Subtract 2x from both sides.
3x - 2x = 1.4
Circle B
C
Remove the brackets.
4x + 6 = 2x - 6 Add 6 to both sides
4x + 12 = 2x Subtract 4x from both sides.
12 = -2x Divide by - 2
12/-2 = x
x = - 6 Don't circle C
D
I'm going to be very scant in my solution of this. You can fill in the steps.
3x = 4.2
x = 4.2/3
x = 1.4
Circle D
Answer:
-8=2x-y get this into y=mx+b form to find the y-intercept
-y=-2x-8
y=2x+8
the y-intercept is 8 so it passes through (0,8)
to find the x-intercept, set y to equal zero
0=2x+8
-8=2x
x=-4
the x-intercept is -4 so it passes through (-4,0)
the slope is 2 based on the slope-intercept form
Its fairly simple, B*L*H. So 3 x 4 x 5 and you get 60 m^3