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3 years ago

Given the line below.

Mathematics

1 answer:

Roman55 [17]3 years ago

5 0

Answer:

The equation of the line in point slope form is equal to

$y+2=(x+2)$

Step-by-step explanation:

The picture of the question in the attached figure

step 1

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

we have

(-2,-2) and (2,2)

substitute the values

$m=\frac{2+2}{2+2}=1$

step 2

Find the equation of the line in point slope form

$y-y1=m(x-x1)$

we have

$m=1\\(x1,y1)=(-2,-2)$

substitute the values in the formula

$y-(-2)=(1)(x-(-2))\\y+2=(x+2)$

You might be interested in

Find the conjugate and product of 2-i5

WITCHER [35]

Answer: $2+i5,\ 29$

Step-by-step explanation:

Given

Complex number is $2-i5$

Its conjugate is obtained by changing the sign of the original number i.e. $2+i5$

The product of the two numbers is

$\Rightarrow (2-i5)(2+i5)=2^2-(5i)^2\quad \quad [(x+y)(x-y)=x^2-y^2]\\\\\Rightarrow (2-i5)(2+i5)=4-25i^2\\\\\Rightarrow (2-i5)(2+i5)=4+25=29$

3 0

3 years ago

Need help as quickly as possible

Solnce55 [7]

The measure of the unknown angles in the kite are as follows;

x = 66 degrees
y = 158 degrees

<h3>How to find the measure of a kite?</h3>

A kite has two pairs of adjacent equal sides.

In other words, a kite is a quadrilateral that has 2 pairs of equal-length sides and these sides are adjacent to each other.

One pair of opposite angles is equal. Diagonals are perpendicular to each other.

A kite has four interior angles and the sum of these interior angles is 360°

Therefore, the measures of the

x = 66 degrees.

Let's find y.

y = 360 - 70 - 66 - 66

y = 158 degrees.

learn more on kites here: brainly.com/question/24263475

#SPJ1

6 0

1 year ago

How do I solve this

Gnoma [55]

Answer:

Step-by-step explanation:

I'm sorry forgot how to exactly solve it

7 0

3 years ago

Breyers is a major producer of ice cream and would like to test if the average American consumes more than 17 ounces of ice crea

asambeis [7]

Answer:

The conclusion for this hypothesis test would be that the average American consumes less than or equal to 17 ounces of ice cream per month.

Step-by-step explanation:

We are given that Breyers is a major producer of ice cream and would like to test if the average American consumes more than 17 ounces of ice cream per month.

A random sample of 25 Americans was found to consume an average of 19 ounces of ice cream last month. The standard deviation for this sample was 5 ounces.

Let $\mu$ = average ounces of ice cream consumed by American per month

So, Null Hypothesis, $H_0$ : $\mu \leq$ 17 ounces {means that the average American consumes less than or equal to 17 ounces of ice cream per month}

Alternate Hypothesis, $H_A$ : $\mu$ > 17 ounces {means that the average American consumes more than 17 ounces of ice cream per month}

The test statistics that will be used here is One-sample t test statistics as we don't know about population standard deviation;

T.S. = $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = sample average = 19 ounces

s = sample standard deviation = 5 ounces

n = sample of Americans = 25

So, test statistics = $\frac{19-17}{\frac{5}{\sqrt{25} } }$ ~ $t_2_4$

= 2

The value of the test statistics is 2.

Now at 0.025 significance level, the t table gives critical value of 2.06 at 24 degree of freedom for right-tailed test. Since our test statistics is less than the critical values of t, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.

Therefore, we conclude that the the average American consumes less than or equal to 17 ounces of ice cream per month.

8 0

4 years ago

Math question help pls.

devlian [24]

Answer:

i dont know the first one, but the answer to the second question is 28

Step-by-step explanation:

6 0

3 years ago