Answer:
slope is 7
Step-by-step explanation:
the rate of change is the slope
in the general equation y = mx + b
x and y are point coordinates (x,y)
b is the y intercept
m is the slope
this is the rate at which the points are changing essentially
a larger slope will produce a steeper line
a negative slope will produce a line pointed downward
a smaller slope will produce a flatter line
Answer:
No, Yes, Yes
Step-by-step explanation:
<em>
</em>
2y = 3 - 5x
y = (3-5x) / 2
<em>F</em><em>A</em><em>L</em><em>S</em><em>E</em>
2P = w + 8
w = 2P - 8
<em>T</em><em>R</em><em>U</em><em>E</em>
<em>
</em>
by = c - ax
y = (c - ax) / b
<em>T</em><em>R</em><em>U</em><em>E</em>
Answer:
Yes, at positive x-coordinates.
Step-by-step explanation:
Finding the equation for g(x):
Slope = (3-6)/ (1-0) = -3
y-intercept = y value when x = 0 = 6.
So g(x) = -3x + 6
Solve them simultaneously:
x^2 + y^2 = 16
g(x) : y = -3x + 6
Substitute for y in the first equation:
x^2 + (-3x + 6)^2 = 16
x^2 + ( 9x^2 - 36x + 36) = 16
10x^2 - 36x + 20 = 0
5x^2 - 18x + 10 = 0
x = [-(-18) +/- sqrt ( (-18)^2 - 4 * -18 * 10)] / (5*2)
= ( 18 +/- sqrt 124 )/ 10
= (1.8) +/- 1,114
These 2 roots are both positive.
Two sides are equal in an isosceles triangle. This means that the angle both sides make with the third side must be the same. Since the angles in a triangle add up to 180°, you can subtract 110° from 180° and divide your answer by two. The resulting number will be the measure of each of the two unknown angles
