The slope is given as m = 7m=7 and the yy-intercept as b = - \,4b=−4. Substituting into the slope-intercept formula y = mx + by=mx+b, we have
since m=7 and b=-4, we can substitute that into the slope-intercept form of a line to get y=mx+b → y=7x-4
The slope is positive thus the line is increasing or rising from left to right, but passing through the yy-axis at point \left( {0, - \,4} \right)(0,−4).
Step-by-step explanation:
First we simplify the inequality
1. <em>multiply 6 by the other side of the inequality (-4) </em>
Now we have ...
a > -24
Anything that can be a solution to the inequality <u>must be greater than -24</u>
-18 is greater than -24
This means that, YES! a = -18 IS a solution to the inequality
Answer:
The required result is proved with the help of angle bisector theorem.
Step-by-step explanation:
Given △ABD and △CBD, AE and CE are the angle bisectors. we have to prove that
Angle bisector theorem states that an angle bisector of an angle of a Δ divides the opposite side in two segments that are proportional to the other two sides of triangle.
In ΔADB, AE is the angle bisector
∴ the ratio of the length of side DE to length BE is equal to the ratio of the line segment AD to the line segment AB.
→ (1)
In ΔDCB, CE is the angle bisector
∴ the ratio of the length of side DE to length BE is equal to the ratio of the line segment CD to the line segment CB.
→ (2)
From equation (1) and (2), we get
Hence Proved.
Answer:
I, II, and III are true.
Step-by-step explanation:
I. A correlation of -0.8 (negative) between weight and reliability means that the heavier the car, the less reliable it will be. Therefore, the statement is true.
II. A correlation of 0.6 (positive) between weight and maintenance means that the heavier the car, the higher the costs will be. Therefore, the statement is true.
III. Since the absolute value of the correlation between weight and reliability is higher than the absolute value of the correlation between weight and maintenance cost (0.8 > 0.6), weight is more strongly related to reliability than to maintenance cost. The statement is true.