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3 years ago

Calculate the slope of the line that passes through the points (1,3) (3,negative2)

Mathematics

2 answers:

Tatiana [17]3 years ago

8 0

(1,3), (3,-2)

m=(y2-y1) / (x2-x1) where (x1 = 1) (y1= 3) (x2=3) (y2=-2)
m=(-2-3)/(3-1)
m=-5/2

therefore slope = -5/2

Andreyy893 years ago

4 0

Slope is rise over run or (y₁-y₂)/(x₁-x₂)

(x,y)
(1,3)
(3,-2)

(3-(-2))/(1-3)=(3+2)/(1-3)=5/-2

slope is -5/2

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Identify the solutions to the quadratic equation!

Elenna [48]

The solution to the quadratic equation are option C) x= -5 and option E) x=3.

<u>Step-by-step explanation</u>:

The given quadratic equation is x²+2x-15 = 0.

Using the factorization method,

product of the roots should be -15.
Sum of the roots should be 2.

⇒ -15 = 5 $\times$ -3

⇒ 2 = 5+(-3)

(x+5)(x-3) = 0

Therefore, x = -5 and x = 3

8 0

3 years ago

What is sum of two mixed numbers of 5.815+6.021

Julli [10]

5.815+6.021= 11.836

good luck!

3 0

3 years ago

Seven more than the quotient of a number and 2 is -4

Rzqust [24]

Answer:

x/2 + 7 = -4

Step-by-step explanation:

7 more just means plus 7

a quotient of a number and blank basically is 'a number' (usually x) over a the number given if that makes sense. so in our scenario its x/2

'is' basically means is equal to

put it all together and you get x/2 + 7 = -4

hope this helps <3

5 0

3 years ago

The diameter of the wheel is 22 inches what is the circumference of the world use 3.14 for pie

DiKsa [7]

Answer:

69.08 inches

Step-by-step explanation:

Circumference of the wheel

= 2 pi r

Given

Pi = 3.14

Radius r = diameter/2 = 22/2

= 11

Therefore

Circumference = 2 x 3.14 x 11

= 69.08 inches

5 0

3 years ago

In a random sample of 8 people, the mean commute time to work was 33.5 minutes and the standard deviation was 7.2 minutes. A 95

Elina [12.6K]

Answer: Margin of error = 6.58

Confidence interval = (26.91, 40.08)

Step-by-step explanation:

Since we have given that

Sample size n = 8

Sample mean = 33.5 minutes

Population standard deviation = 9.5 minutes

At 95% confidence interval,

α = 0.05

t = 1.96

So, Margin of error is given by

$t\times \dfrac{\sigma}{\sqrt{n}}\\\\=1.96\times \dfrac{9.5}{\sqrt{8}}\\\\=6.58$

Confidence interval would be

Lower limit:

$\bar{x}-6.58\\\\=33.5-6.58\\\\=26.91$

Upper limit:

$\bar{x}+6.58\\\\=33.5+6.58\\\\=40.08$

Hence, the interval would be (26.91, 40.08)

But at standard deviation 7.2 minutes, the confidence interval was (27.5, 39.5)

Confidence interval using the standard normal distribution is wider than the confidence interval using t distribution.

3 0

3 years ago