Answer:
Point-slope form: y + 3= -1(x + 4)
Slope-intercept form: y = -1x - 7
y = m * x + b,
where:
m is the slope; and
b is the intercept of the y-axis.
You'd solve this by creating the equation
20 + 6x - 1 + x + 14 = 180
33 + 7x = 180
- 33
7x = 147
÷ 7
x = 21
(because angles in a triangle add up to 180°)
And then you'd substitute in the value of x, so
6 × 21 = 126
126 - 1 = 125° = Angle A
21 + 14 = 35° = Angle C
I hope this helps!
Answer:
33,333 ft^3
Step-by-step explanation:
A pyramids volume can be defined by V=lwh/3. We know the base is 1000 ft^2, so we multiply that by an additional 100 for the height. We then have 100,000 ft^3. After that, we simply divide it by three, which is 33,333.3 repeating, and round it to 33,333 ft^3
Answer:
Step-by-step explanation:
a) p(blue & hybrid & not-leather) = p(blue)×p(hybrid)×p(not leather)
= (1/3)×(1/2)×(2/3) = 1/9
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b) p(electric & not-blue) = p(electric)×p(not blue) = (1/2)(2/3) = 1/3
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Among a given set of choices, the probability of any one of them is 1 divided by the number of choices. The probability of that the choice is not one of those is the probability that it is, subtracted from 1.
<u>Example</u>: there are 3 colors, so p(green) = 1/3; p(not-green) = 1 -1/3 = 2/3.
-1/3m+1=-7
-1/3m+1-1=-7-1 subtract 1 from both sides
-3(-1/3m)=-3(-8) multiply -3 on both sides
m=24 solution