8=m-7
add 7 to both sides
m=15
If the 3 points are collinear, then the slopes of all line segments connecting the points are the same.
Thus,
-6 - (-8) 2
m = ------------- = -------- = -1/2
-7 - (-3) -4
Then the following must be true:
4-(-6) 10
-1/2 = ------------ = ---------
c - (-7) c + 7
Cross multiplying, -(c+7) = 20, and c+7 = -20, so that c = -27
Answer:
320
Step-by-step explanation:
25 + 15 = 40 toys each
Toy makers x number of toys each = total toys carved
8 x 40 = 320 totals carved in all
Answer:
m =-1.25
Step-by-step explanation:
5.2m + 5 = 2.9m – 3 – 4.1m
Combine like terms
5.2m + 5 = -1.2m – 3
Add 1.2m to each side
5.2m +1.2m +5 = -1.2m +1.2m -3
6.4m +5 = -3
Subtract 5 from each side
6.4m +5-5 = -3-5
6.4m = -8
Divide each side
6.4m/6.4 = -8/6.4
m =-1.25
Answer:
B 5 cm
Step-by-step explanation:
The bottom leg of the shaded triangle is 1/2 of the length of the side, so is 3 cm. The vertical leg of the shaded triangle is the height of the pyramid, given as 4 cm.
The slant height is the hypotenuse of the shaded triangle, so can be found from your knowledge of the 3-4-5 triangle, or from the Pythagorean theorem.
If s is the slant height, then ...
s^2 = 3^2 + 4^2 = 9 +16 = 25
s = √25 = 5
The slant height is 5 cm.
