Answer:
y = 4x + 36
Step-by-step explanation:
To find the equation in slope-intercept form, rearrange to <u>isolate "y"</u>.
Slope-intercept form is y = mx + b. The variables mean:
"x" and "y" - points that are on the line, or solutions.
"m" - the slope, how steep the line is
"b" - the y-intercept, when the line touches the y-axis
Isolate "y".
8x - 2y = -72
8x - 8x - 2y = -72 - 8x Subtract 8x from both sides.
-2y = -72 - 8x Left side : 8x - 8x = 0
Divide both sides by -2
y = 36 - (-4)x Simplify the fractions
y = 36 + 4x Remember two negatives make a positive, add 4x.
y = 4x + 36 Put "4x" in front of 36. It looks like y = mx + b now.
"m" would be 4.
"b" would be 36.
Let the 1st number be x; 2nd number be y; 3rd number be z.
x + y + z = 79
x = number we are looking for.
y = x * 5 ==> 5 times the first
z = x + 16 ==> 16 more than the first
Therefor,
x + (x * 5) + (x+16) = 79
1st step, multiply the 2nd number: x * 5 = 5x
x + 5x + x + 16 = 79
Add all like numbers:
7x + 16 = 79
To get x, transfer 16 to the other side and change its sign from positive to negative.
7x = 79 - 16
7x = 63
To get x, divide both sides by 7
7x/7 = 63/7
x = 9
To check. Substitute x by 9.
x + (x * 5) + (x+16) = 79
9 + (9 * 5) + (9 + 16) = 79
9 + 45 + 25 = 79
79 = 79 equal. value of x is correct.
I agree because if your answer is in a negative that means, the number that is closer to zero is the greater number, ex: -23>-56.
Answer:
Grace jumps for 9 minutes.
Zoe jumps for 12 minutes.
Step-by-step explanation:
Let the time for which Grace jumps the rope = 
minutes
Let the time for which Zoe jumps the rope = 
minutes
As per question statement:
Number of times Grace jumps in one minute = 66
Number of times Zoe jumps in one minute = 56
Number of times Grace jumps in minutes = 66
Number of times Zoe jumps in minutes = 56
As per question statement:
Multiplying equation (1) with 66 and subtracting equation (2) from it:
By equation (1):
Therefore, the answer is:
Grace jumps for 9 minutes.
Zoe jumps for 12 minutes.
Answer:
A quadrilateral become square if all the sides joining the co-ordinate of quadrilateral is equal
Step-by-step explanation:
Here the given co-ordinate of quadrilateral are
G (3, -1) O(1, -6)
L(-4, -4) F(-2, 1)
Line GF = 
GF = 
Similarly for line OG, OL, FL
OG = 
OG =
OL = 
OL =
And
FL = 
FL =
all the sides of quadrilateral GF, OG, OL, FL all equal to
As all the sides are equal so quadrilateral become square Answer
