Answer:
Your slope is -1
Step-by-step explanation:
Find the change in x and the change in y and put it in change in y over change in x.
Δx = -1 - -2 = 1
Δy = -1 - 0 = -1
Slope = rise over run = Change in y over change in x = Δy/Δx = -1/1
Therefore the slope is -1/1 which is written as just -1
Answer:
(-4,-1)
Step-by-step explanation:
Assuming the graph is the one shown in the attachment.
The forward sloping line has a slope of 1 and a y-intercept of 3.
The equation of this line is y=x+3
The horizontal line has a slope of 0 and y-intercept of -1.
It's equation is y=-1
The two lines intersect at (-4,-1)
Answer:
9.6 = BC
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opposite/ adjacent
tan 58 = BC / 6
Multiply each side by 6
6 tan 58 = BC
9.602007174 =BC
Round to the nearest tenth
9.6 = BC
Consecutive odd or even integers are of the form x, x+2.
So we have x(x+2) = 63, where Diane's age = x.
x²+2x = 63.
x² + 2x - 63 = 0
(x + 9)(x - 7) = 0
x = -9, or 7.
Since -9 is awfully young, we rule it out and say Diane's age is 7, and her sister is 9.
