First, find the slope of the given points (m = y2 - y1 / x2 - x1)
m = (6-1) / (-4-1) = 5/-5 = -1
Then substitute the slope and the coordinates of either point for x and y into y = mx + b, we’ll use (-4,6)
6 = (-1)(-4) + b
Solve for b
6 = 4 + b, subtract 4 from both sides: b = 2
Rewrite y = mx + b with m = -1 and b = 2
Equation: y = -1x + 2 or y = -x + 2
Answer:
B) Checkers Club
Step-by-step explanation:
The spread is the difference between the minimum and the maximum. Those extreme values are indicated by the dots at the ends of the "whiskers" in the "box and whisker" plot.
Chess club extends from 8 to 18, so the spread is 18 -8 = 10.
Checkers club extends from 6 to 17, so the spread is 17 -6 = 11. This is a greater value than 10.
Checkers club has the greater spread.
Answer:
Part A
71°
Part B
The ladder is been used safely
Step-by-step explanation:
Part A
We solve the above question using Trigonometric function of Cosine
cos x = Adjacent/Hypotenuse
Adjacent = The distance between the house and the bottom of the ladder = 4 feet
Hypotenuse = Length of the ladder = 12 feet
x = Angle
Hence:
cos x = 4/12
cos x = 1/3
x = arc cos (1/3)
x = 70.528779366°
Approximately to the nearest degree
= 71°
Part B
According to the manufacturer, if the angle the ladder forms with the ground, x, is between 70° and 75°, then it meets safety standards. Is this ladder being used safely?
Angle x = 71°
Therefore, the ladder is been used safely
I think the answer in this case would be D
This is the equation: ×+2x+5x+1=25 Combine
like terms to get:
8x+1=25 Now subtract 1 from both sides to
result in;
8x=24 Divide 8 into both sides to get:
×=3 inches for the first one.
