Answer:
110
Step-by-step explanation:
Using pythagorean theorm
c^2 = a^2 + b^22
610^2 = 600^2 + b^2
372100 = 360000 + b^2
b^2 = 12100
b = 110
Answer:
1.) -90, -69, -49, 85
2.) -23, -17, -1, 69
3.) -93, -78, -16, 61
Step-by-step explanation:
Answer:
A) 2x + 5
Step-by-step explanation:
First, turn 2x - y = 16 into 2x - 16 = y by adding the <em>y</em> on both sides and subtracting 16 from both sides.
You'll see that option A is the only option that matches the original function that we're comparing to.
Graphs will always be parallel to each other if they have the same slope, and both these functions have the same slope of 2.
1. If the line that we are searching for is perpendicular to the line y = -4x, this means that the gradient of our line and the gradient of the perpendicular line will multiply to give -1. Thus if we call the gradient of our line m, then:
m*(-4) = -1
-4m = -1
m = 1/4
2. Since we know that m = 1/4 and we have a point (2,6) on our line, we can use the formula y - y1 = m(x - x1) to find the equation of our line, where (x1, y1) is the coordinates of a point on the line. Thus:
y - y1 = m(x - x1)
y - 6 = (1/4)(x - 2)
y - 6 = (1/4)x - 2/4 (Expand (1/4)(x - 2))
y = (1/4)x - 1/2 + 6 (Simplify 2/4 and add 6 to each side)
y = (1/4)x + 11/2 (Evaluate -1/2 + 6)
Slope-intercept form is given by y = mx + c. As our equation is already in this form, there is nothing more to do. Thus, the answer is y = (1/4)x + 11/2
Answer:
11
Step-by-step explanation:
those alternate angles are equal to each other
5x+4=59
5x=55
x=11
