Need done and Hurry
2 answers:
Answer: (C) y + 2 = -4(x - 5)
<u>Step-by-step explanation:</u>
First, find the slope between the two points (5, -2) and (3, 6) using the slope formula:
Next, input ONE of the points (x₁, y₁) and the slope (m) into the Point-Slope equation:
y - y₁ = m(x - x₁)
y - (-2) = -4(x - (5))
y + 2 = -4(x - 5)
Answer:
see explanation
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
To calculate m use the slope formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (5, - 2) and (x₂, y₂ ) = (3, 6)
m = =
= - 4
Using (a, b) = (5, - 2), then
y + 2 = - 4(x - 5) ← third on list
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Using (a, b) = (3, 6), then
y - 6 = -4(x - 3)
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Answer:
N(AUC∩B') = 121
The number of students that like Reese's Peanut Butter Cups or Snickers, but not Twix is 121
Step-by-step explanation:
Let A represent snickers, B represent Twix and C represent Reese's Peanut Butter Cups.
Given;
N(A) = 150
N(B) = 204
N(C) = 206
N(A∩B) = 75
N(A∩C) = 100
N(B∩C) = 98
N(A∩B∩C) = 38
N(Total) = 500
How many students like Reese's Peanut Butter Cups or Snickers, but not Twix;
N(AUC∩B')
This can be derived by first finding;
N(AUC) = N(A) + N(C) - N(A∩C)
N(AUC) = 150+206-100 = 256
Also,
N(A∩B U B∩C) = N(A∩B) + N(B∩C) - N(A∩B∩C) = 75 + 98 - 38 = 135
N(AUC∩B') = N(AUC) - N(A∩B U B∩C) = 256-135 = 121
N(AUC∩B') = 121
The number of students that like Reese's Peanut Butter Cups or Snickers, but not Twix is 121
See attached venn diagram for clarity.
The number of students that like Reese's Peanut Butter Cups or Snickers, but not Twix is the shaded part
Answer:
36.5cm²
Step-by-step explanation:
Area of quarter circle=8²/4=64
/4=16
cm²
Area of square+Area of shaded region =2(16)=32
=100.5cm²
Area of square=8²=64cm²
Area of shaded region=100.5cm²-64cm²=36.5cm²
Therefore, the area of the shaded region is 36.5cm².
