First you have find the slope (a) in order to find the value of the y intercept (b).
To compute the slope, you simply have to find the difference of y coordinates and divide them by the difference of x coordinates:
a = (y2-y1)/(x2-x1)
a = (7-3)/(-2–0)
a = 4/-2
a = -2
To compute the y intercept denoted by b, we substitute the value of a with -2 in the formula and choose any point (x,y) and substitute their values in the formula as well. Like so:
I choose point A:
3 = (-2)(0) + b
3 = b
Answer:
7 , 11
Step-by-step explanation:
Let the second number be 'x'
the first number = x - 4
Twice the second number : 2*x = 2x
5times first = 5*(x -4) = 5*x - 5*4 = 5x - 20
13 less than 5 times the first = 5x - 20 - 13 = 5x - 33
5x - 33 = 2x
Add 33 to both sides
5x - 33 + 33 = 2x +33
5x = 2x + 33
Subtract '2x'from both sides
5x - 2x = 2x - 2x + 33
3x = 33
Divide both sides by 3
x = 11
First number = x - 4 = 11 - 4 = 7
The numbers are 7 , 11
Answer:
9 inches by 12 inches
Step-by-step explanation:
So let's say <em>L</em>=length and <em>W</em>=width.
Since the problem states that the length should be 3 inches longer than the width, <em>L</em><em>=</em><em> </em>W+3
And the formula to find the perimeter of a rectangle is 2L+2W
so plug in W+3 for L and you get 2(W+3)+2W
Then distribute
2W+6+2W
Combine like-terms
4W+6
And the problem states the perimeter is 42 inches so,
4W+6=42
Subtract 6 to both sides
4W=36
Divide by 4 to both sides
W=9
So the width is 9
And to get the length, plug in 9 for W in L=W+3
L=9+3
L=12
So the length is 12
Answer:
The value of x is 6
Step-by-step explanation:
we know that
If two angles are supplementary, then their sum is equal to 180 degrees
so
In this problem
m∠C+m∠E=180°
we have
m∠C=112°
m∠E=(3x+50)°
substitute and solve for x
112°+(3x+50)°=180°
3x+162=180
3x=180-162
3x=18
x=6
Rectangle ABCD was rotated 90° counterclockwise around the origin and then translated 8 units down.
