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2 years ago

What is the slope of a line through (-3, 4) and (5, 6)?

Mathematics

1 answer:

Likurg_2 [28]2 years ago

7 0

Answer:

slope= x2- x1/y2 -y1

= 5-(-3)/6-4

8/2= 4

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A dog trainer has 96 ft of fencing that will be used to create a rectangular work area. Encloses area of 320 ft^2. What will be

Anastaziya [24]

Answer:

<em>The dimensions of the area will be 8 ft x 40 ft</em>

Step-by-step explanation:

<u>Area and Perimeter</u>

The perimeter can be understood as the distance measured around a shape. The area gives us the idea of the space occupied by the shape. Being w and l the width and length of a rectangle, the perimeter and areas can be computed as follows

$A=wl$

$P=2w+2l$

The dog trainer has 96 ft of fencing to cover a $320 ft^2$ rectangular area. This means that

$wl=320$

$2w+2l=96$

A system of equations is formed

$\left\{\begin{matrix}wl=320\\ 2w+2l=96\end{matrix}\right$

We divide the last equation by 2

$w+l=48$

solve for w

$w=48-l$

Replacing in the first equation

$(48-l)l=320$

Operating and arranging

$l^2-48l+320=0$

$(l-8)(l-40)=0$

We have two possible answers

$l=8,\ l=40$

Which gives us

$w=40,\ w=8$

In any case, the dimensions of the area will be 8 ft x 40 ft

6 0

3 years ago

This is multi step equations<br><br>+ 11 +8<br>29

navik [9.2K]

Answer:

the sum is 48

Step-by-step explanation:

11 + 8 is equal to 19. When you add 29 to 19 the sum would be 48

3 0

3 years ago

In an effort to improve scores on college-entrance exams, the principal at a large high school chooses 35 students

denpristay [2]

Using the t-distribution, it is found that the test statistic for the hypotheses test is given by:

$t = \frac{-1.75 - 0}{\frac{7.12}{\sqrt{35}}}$

<h3>What are the hypotheses tested?</h3>

At the null hypotheses, it i tested if the mean difference remains the same, that is:

$H_0: \mu = 0$

At the alternative hypotheses, it is tested if it has decreased, hence:

$H_a: \mu < 0$ .

<h3>What is the test statistic?</h3>

The test statistic is given by:

$t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}$

The parameters are:

$\overline{x}$ is the sample mean.

$\mu$ is the value tested at the null hypothesis.

s is the standard deviation of the sample.

n is the sample size.

The parameters are given as follows:

$\overline{x} = -1.75, s = 7.12, n = 35$ .

Hence the test statistic is given by:

$t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}$

$t = \frac{-1.75 - 0}{\frac{7.12}{\sqrt{35}}}$

More can be learned about the t-distribution at brainly.com/question/16162795

#SPJ1

5 0

2 years ago

In 2015, the price of a business math text rose to $200. This is 8% more than the 2014 price. What was the old selling price?

lakkis [162]

Old price=new price/(1+inflated rate)
=2000/(1+1.08)
=185.19 (approximately)

7 0

3 years ago

When answered please show step by step

Allushta [10]

How am I supposed to answer that if I can't get the graph to you?

3 0

3 years ago