1. What is the slope of the line that passes through the points (-2, 5) and (1, 4)?a. -3
b. -2
c. -1/3
d. 1/3

2. A line has a slope -5/3. Through which two points could this line pass?

a. (12,13) (17, 10)
b. (16, 15) (13, 10)
c. (0, 7) (3, 10)
d. (11, 13) (8, 18)

3. The pair of points (6,y) and (10, -1) lie on a line with slope 1/4. What is the value of y?

a. -5
b. -2
c. 2
d. 5

4. What is the slope of a vertical line?

a. -1
b. 0
c. 1
d. Undefined

5. The table below gives the best cost per person to rent a fishing charter boat. Find the rate of change given that it is a constant. Also explain what the rate of change means for this situation.

People l Cost ($)
2 l 110
3 l 165
4 l 220
5 l 275

a. 1/55
b. 110/1
c. 1/275
d. 55/1

Answers

Answer 1

Answer: 1. (-2,5)(1,4)
slope = (4 - 5) / (1 - (-2) = -1 / 3

2. (11,13)(8,18)

3. (6,y)(10,-1)
slope = (-1 - y) / (10 - 6) = (-1- (-2) / 4 = 1/4
y = -2

4. undefined

5. (2,110)(3,165)
slope = (165 - 110) / (3 - 2) = 55/1
this basically means that to rent a charter boat, it will cost 55 per person

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-625
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Answers

Hello,

Answer C

$a_(8)=-(5^(8-1))/(125)=-625$

PLZ HELP ME!!!! ASAP!!!!!

5 + 1/7x = 6

z/6 + 6 = 8 - z/6

Answers

first one x=7 and the second one is z=6

Hi,

1.

2.

$(z)/(6) + 6 = 8 - (z)/(6) \n \not6 * (z)/( \not6) + 6 * 6 = 6 * 8 - \not6 * (z)/( \not6) \n z + 36 = 48 - z \n z + z + 36 = 48 \n z + z = 48 - 36 \n 2z = 12 \: \: \: \: \: | / 2 \n z = 6$

Hope this helps.
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The Emerson First National Bank is lending you money to buy a new car. The loan agreement will probably state that you must carrycar _______ insurance.

Answers

The loan-agreement will probably state that we should carry is Collision insurance.

The "Collision-Insurance" is a type of auto insurance coverage that helps cover the cost of repairs or replacement of the vehicle in case of a collision or accident, regardless of who is at fault.

This requirement is put in place to protect both you as the borrower and the lender's financial interest in the vehicle. By having collision insurance, any damages resulting from a collision can be repaired or covered, reducing the risk for both parties involved in the loan agreement.

Learn more about Insurance here

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The answers Collision.

Which of these is the area of a sector of a circle with r = 18”, given that its arc length is 6π?a.54.00 in2B)113.10 in2C)169.65 in2D)339.29 in2

Answers

The formulas for arc length and area of a sector are quite close in their appearance. The formula for arc length, however, is related to the circumference of a circle while the area of a sector is related to, well, the area! The arc length formula is $AL= ( \beta )/(360) *2 \pi r$ . Notice the "2*pi*r" which is the circumference formula. The area of a sector is $A s= ( \beta )/(360) * \pi r ^(2)$ . Notice the "pi*r squared", which of course is the area of a circle. In our problem we are given the arc length and the radius. What we do not have that we need to then find the area of a sector of the circle is the measure of the central angle, beta. Filling in accordingly, $6 \pi = ( \beta )/(360) *2 \pi (18)$ . Simplifying by multiplying by 360 on both sides and then dividing by 36 on both sides gives us that our angle has a measure of 60°. Now we can use that to find the area of a sector of that same circle. Again, filling accordingly, $A_(s) = (60)/(360) * \pi (18) ^(2)$ , and $A_(s) =54 \pi$ . When you multiply in the value of pi, you get that your area is 169.65 in squared.

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