Answer:
Last choice.
Step-by-step explanation:
To find the option that is equivalent to this equation, we can begin by narrowing down our options. The slope contains a negative number, meaning the second point must have a lower y value than the first.
Using this criteria, we can eliminate the first and the third answer. Now, we can test the second and fourth answer.
We can test using the slope formula and plugging in values. When the slope formula: 
We get a slope of -5 for both of these equations. Let's plug in the point values to check whether they work:
Choice 2:
-24 = -5(4) + 4
-24 = -20 + 4
-24 ≠ -16
Choice 4:
-16 = -5(4) + 4
-16 = -20 + 4
-16 = -16
Therefore, choice 4 is correct!
Answer:
e = -2
Step-by-step explanation:
9e - 7 = 7e - 11
Subtract 7e from both side
2e - 7 = -11
Add 7 to both sides
2e = -4
Divide by 2 to isolate e
e = - 2
The solution to the algebraic equation, −0.4x − 3.1 = 5.9, is:<u> x = -22.5</u>
Given the algebraic equation, −0.4x−3.1 = 5.9, to solve for x, follow the steps below:
−0.4x − 3.1 = 5.9
−0.4x − 3.1 + 3.1 = 5.9 + 3.1
-0.4x = 9
- Divide both sides by -0.4
-0.4x/-0.4 = 9/-0.4
x = -22.5
Therefore, the solution to the algebraic equation, −0.4x − 3.1 = 5.9, is:<u> x = -22.5</u>
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Learn more here:
brainly.com/question/16864747
I believe the answer is, 2) End of Reconstruction
Answer: the length of the arc from her dog house to the hydrant is 69 feet
Step-by-step explanation:
The formula for determining the length of an arc is expressed as
Length of arc = θ/360 × 2πr
Where
θ represents the central angle.
r represents the radius of the circle.
π is a constant whose value is 3.14
From the information given,
Radius, r = 24 feet
θ = 165 degrees
Therefore,
Length of the minor arc, DG = 165/360 × 2 × 3.14 × 24
Length of arc = 69 feet rounded up to the nearest feet.
