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3 years ago

What is the slope of the line that passes through the points (1, -6)(1,−6) and (-8, 9) ?(−8,9)?

Mathematics

1 answer:

Monica [59]3 years ago

4 0

Answer:

The answer to your question is m = -5/3

Step-by-step explanation:

Data

Point 1 = (1, -6)

Point 2 = (-8, 9)

Process

To find the slope just substitute the values in the formula and simplify.

Formula

slope = m = (y2 - y1) / (x2 - x1)

-Identify x1, y1, x2 and y2

x1 = 1 y1 = -6 x2 = -8 y2 = 9

-Substitution

m = (9 + 6) / (-8 - 1)

-Simplification

m = 15/-9

-Result

m = -5/3

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the length of a rectangle is 2 cm less than 7 times the width.the perimeter is 60 cm. find the width and length

Mnenie [13.5K]

Width = 4
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3 years ago

Read 2 more answers

Resistors are labeled 100 Ω. In fact, the actual resistances are uniformly distributed on the interval (95, 103). Find the mean

Zinaida [17]

Answer:

$E[R]$ = 99 Ω

$\sigma_R$ = 2.3094 Ω

P(98<R<102) = 0.5696

Step-by-step explanation:

The mean resistance is the average of edge values of interval.

Hence,

The mean resistance, $E[R] = \frac{a+b}{2} = \frac{95+103}{2} = \frac{198}{2}$ = 99 Ω

To find the standard deviation of resistance, we need to find variance first.

$V(R) = \frac{(b-a)^2}{12} =\frac{(103-95)^2}{12} = 5.333$

Hence,

The standard deviation of resistance, $\sigma_R = \sqrt{V(R)} = \sqrt5.333$ = 2.3094 Ω

To calculate the probability that resistance is between 98 Ω and 102 Ω, we need to find Normal Distributions.

$z_1 = \frac{102-99}{2.3094} = 1.299$

$z_2 = \frac{98-99}{2.3094} = -0.433$

From the Z-table, P(98<R<102) = 0.9032 - 0.3336 = 0.5696

5 0

3 years ago

Given the function f(x) = -5|x + 1| + 3, for what values of x is f(x) = -12? O X= -2. x = 1 O x= -2 x = 4 O x = 2. x = 4 O x = 2

puteri [66]

The values are x= -2 and x =4 of the given function f (x) =-5|x+1| +3

<h3>What is function?</h3>

Function is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

According to the question,

The given function is

$f(x) = -5|x + 1| + 3$

Here f(x) = -12

Substitute f(x) and solve for x

$- 12 = -5|x + 1| + 3$

By subtracting 3 on both sides

$- 12 - 3 = -5|x + 1| + 3 - 3$

$- 15 = -5|x + 1|$

By dividing -5 on both sides

$3 = |x + 1|$

We get absolute values for the function.

$x + 1 = 3 , x + 1 = -3$

By subtracting 1 on both sides

$x + 1 - 1 = 3 - 1 = 2\\\\x + 1 - 1 = - 3 - 1 = -4\\\\x = 2 , x = - 4$

Therefore, the values of x are 2 and - 4 of the given function f (x) =-5|x+1| +3

Learn more about function here: brainly.com/question/12431044

#SPJ1

4 0

1 year ago

Anyone know the answers to this IMP Sequences Quiz 1?

IRISSAK [1]

Answer:

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Step-by-step explanation:

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3 years ago

Matteo spends a total of 38 min exercising. He walks for 6 min to warm up and then runs at a constant rate of 8 min per mile for

umka2103 [35]

Answer:

No, he not correct because he only ran 4 mi

Step-by-step explanation:

If he walks for 6 min out of the 38 min, then he ran for 32 min.

d = rt 1 mi = 8r

r = 1/8 = 1 mi/8 min Since he ran 32 min we have

d = 1/8(32) = 4 mi.

No, he not correct because he only ran 4 mi

6 0

3 years ago