Answer:
The equation of the line that goes through points (1,1) and (3,7) is 
Step-by-step explanation:
Determine the equation of the line that goes through points (1,1) and (3,7)
We can write the equation of line in slope-intercept form 
where m is slope and b is y-intercept.
We need to find slope and y-intercept.
Finding Slope
Slope can be found using formula: 
We have 
Putting values and finding slope
We get Slope = 3
Finding y-intercept
y-intercept can be found using point (1,1) and slope m = 3
We get y-intercept b = -2
So, equation of line having slope m=3 and y-intercept b = -2 is:
The equation of the line that goes through points (1,1) and (3,7) is
The Y intercept is (0,275) and the X intercept is (125,0). the intercepts should be the point of when the line hits the axis'
Answer:
A
Step-by-step explanation:
Put brackets around the first two tems.
y = (x^2 - 8x) + 29
Take 1/2 coefficient of the linear term -8. Square that result. Add it inside the brackets.
1/2 (- 8) = - 4
(- 4)^2 = 16
y = (x^2 - 8x + 16) + 29
Subtract 16 outside the brackets.
y = (x^2 - 8x + 16) + 29 - 16
Do the subtraction
y = (x^2 - 8x + 16) + 13
Represent what is inside the brackets as a square.
y = ( x - 4)^2 + 13
The answer is A
Area formula of a parallelogram is
A = base x height
Given are the
Area = 60 m² and base = 10 m
Substitute the given:
60 = 10h (divide by 10 to find value of h)
(10 and 10 cancels out)
h = 6The
height of a parallelogram with a base of 10m and an area of 60m² is
6m
X^2/(x- 9 = 81/(x - 9)
This is the equation for which you want the solution.
Multiplying both sides of the equation by (x - 9) we get
x^2(x - 9)/(x - 9) = 81(x - 9)/(x - 9)
So the (x - 9) goes out from both the denominator and the numerator and then the simplified equation becomes
x^2 = 81
x ^2 = (9)^2
x = 9
So the value of the unknown variable x comes out to be 9.
