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Nataliya [291]
2 years ago
13

Find the slope of the line passing through the points (8,-3) and (4,-1)

Mathematics
2 answers:
docker41 [41]2 years ago
7 0

\rm \to m =  \dfrac{y_2 - y_1}{x_2 - x_1}

\\  \\

\rm \to m =  \dfrac{ - 1 - 3}{4 - 8}

\\  \\

\rm \to m =  \dfrac{ - 4}{4 - 8}

\\  \\

\rm \to m =  \dfrac{ - 4}{ - 4}

\\  \\

\rm \to m = \cancel  \dfrac{ - 4}{ - 4}

\\  \\

\rm \to m = 1

ElenaW [278]2 years ago
5 0

Answer:

-1/2

Step-by-step explanation:

m = -1 + 3 / 4 - 8

m = 2 / -4

m = -1/2

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If graphed in the plane, would the line y=5x-2 pass through the point (4,15)
yulyashka [42]

Answer:

no

Step-by-step explanation:

Using substitution, subs in the points given

(15) = 5(4) - 2

15 = 20 - 2

Because the 2 sides are NOT equal the line would not pass through the point

5 0
3 years ago
Give a correct interpretation of a 99% confidence level of 0.102 < p < 0.236.
lord [1]
We are 99% confident that the interval from 0.102 to 0.236 actually does contain the true value of the population proportion <span>p.</span>
4 0
3 years ago
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Determine which of the following situations requires the distributive property in order to simplify the expression. Select all s
ipn [44]

Answers

9(x + y)

(7 - a)(b)

 

The Distributive Property is used in algebraic expressions to multiply a single term and two or more terms which are inside a set of parentheses.

 

In the case of x(2y), there is only one term inside the parenthesis

In the case of 9(x ∙ y), the distributive property is not used because (x ∙ y) = xy which means only one term will be multiplied by the term outside the parenthesis (9)

 

In the case of 9(x + y), the distributive property is used because the two terms in the parenthesis (x and y) will be multiplied by the term outside the parenthesis (9)

9(x + y) = 9*x + 9*y (by applying the distributive property)

 

In the case of (7 ∙ a)(b), the distributive property is not used because (7 ∙ a) = 7a which means only one term will be multiplied by the term outside the parenthesis (b)

 

In the case of (7 - a)(b), the distributive property is used because the two terms in the parenthesis (7 and -a) will be multiplied by the term outside the parenthesis (b)

(7 - a)(b) = 7*b - a*b (by applying the distributive property)

 

In the case of (2 ∙ x) ∙ y, the distributive property is not used because (2 ∙ x) = 2x which means only one term will be multiplied by the term outside the parenthesis (y)

8 0
3 years ago
Read 2 more answers
Jennifer is leasing a car from a local auto retailer. The terms of the lease include a 9% interest rate for 36 months with a res
katrin [286]
1. The problem gives the residual value in percentage, and you need it in dollars. So, if the MSRP for the car Jennifer is leasing is $ 17,500, you have:

 57%/100=0.57

 residual value=$17,500*0.57= $9,975

 2. Then, you need to substract the residual value and the lease term, to calculate the value of the car, as below:

 car value=$17,500-$9,975=$7,525

 3. You need to calculate the money factor, which is the interest rate divided by 2400. Then, you have:

 Interest rate=9%/100=0.09

 Money factor=0.09x2400
 Money factor=0.00375

 4. The interest is:

 I=($17,500+$9,975)(0.00375)
 I=$103.03

 5. Therefore, the monthly payment is:

 Monthly payment=(car value/36 months)+Interest
 Monthly payment=($7,525/36)+$103.03
 Monthly payment=$209.02+$103.03
 Monthly payment=$312.06

 What will Jennifer’s monthly lease payment be?

 The answer is: d. $312.06
6 0
2 years ago
Read 2 more answers
Plz help i have to submit in 20 minutes !!!
amm1812

Answer:

Step-by-step explanation:

1. a). Hypotenuse² = (Leg 1)² + (Leg 2)²

       h² = 10² + 24²

       h = √676

       h = 26

 (b). Hypotenuse² = (Leg 1)² + (Leg 2)²

       (25)² = (15)² + (leg 2)²

       Leg 2 = √(625 - 225)

                 = √400

                 = 20

  (c). Hypotenuse² = (Leg 1)² + (Leg 2)²

        h² = 4² + 6²

        h = √(16 + 36)

        h = √52

        h = 2√13

  (d). Hypotenuse² = (Leg 1)² + (Leg 2)²

        (14)² = (Leg 1)² + 7²

         Leg 1 = √(196 - 49)

                   = √147

                   = 7√3

2). Hypotenuse² = (Leg 1)² + (Leg 2)²

    Leg 1 = leg 2 = 7 units [Since, triangle is an isosceles triangle]

    h² = 7² + 7²

    h = √98

    h = 7√2

    Option (1) is the correct option.

3). Hypotenuse² = (Leg 1)² + (Leg 2)²

    (26)² = (Leg 1)² + (10)²

    Leg 1 = √(676 - 100) = 24

    Area of a right triangle = \frac{1}{2}(\text{Leg 1})(\text{Leg 2})

                                           = \frac{1}{2}(24)(10)

                                           = 120 square units

     Option (3) is the correct option.

8 0
2 years ago
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