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3 years ago

HELP ILL GIVE BRAINLIEST

Mathematics

1 answer:

AnnyKZ [126]3 years ago

8 0

Answer:

Step-by-step explanation:

So what is slope?

Slope is the change in y over the change in x.

You find the change in y and x when you compare two points on the line.

In this case, lets chose the two points they give us:

(1, -4) and (6, 1)

What is the difference of y? That looks like 5(1+4) or (1--4).

What is the difference of x? That looks like 5(6-1=5)

So we can tell the slope is y/x, or 5/5.

This can simpfly to 1.

So 1 is your slope!

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If p is parallel to q, which pair of angles must be congruent?

Veseljchak [2.6K]

Vertical angles are congruent whether the lines are parallel or not.
Corresponding angles are congruent.
Alternate interior and alternate exterior angles are congruent.
1 & 4, 2 & 3, 3 & 6, 4 & 5, 1 & 8, 2 & 7, 5 & 8, 6 & 7, 3 & 7, 1 & 5, 2 & 6, 4 & 8
I think I got all of them!

5 0

3 years ago

Read 2 more answers

Consider the population of four juvenile condors. Their weights in pounds are : 4, 5, 7, 12 (a) Let x be the weight of a juvenil

creativ13 [48]

Answer:

a) 4, 5, 7, 12

b) 7

c) 4.5, 6.5, 8, 6, 8.5, 9.5

d) 7.167

Step-by-step explanation:

We are given the following in the question:

4, 5, 7, 12

a) unique values for x

4, 5, 7, 12

b) mean of the population

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$\mu =\displaystyle\frac{28}{4} = 7$

c) sampling distribution for samples of size 2

Sample size, n = 2

Possible samples of size 2 are (4,5),(4,7),(4,12),(5,7),(5,12),(7,12)

Sample means are:

$\bar{x_1} = \dfrac{4+5}{2} = 4.5\\\\\bar{x_2} = \dfrac{4+7}{2} = 6.5\\\\\bar{x_3} = \dfrac{4+12}{2} = 8\\\\\bar{x_4} = \dfrac{5+7}{2} = 6\\\\\bar{x_5} = \dfrac{5+12}{2} = 8.5\\\\\bar{x_6} = \dfrac{7+12}{2} = 9.5$

Thus, the list is 4.5, 6.5, 8, 6, 8.5, 9.5

d) mean of the sampling distribution

$\bar{x} = \dfrac{4.5 + 6.5 + 8+ 6 + 8.5+ 9.5}{6} = \dfrac{43}{6} = 7.167$

6 0

3 years ago

Write the nth term of the following sequence in terms of the first term of the sequence.. 1, 8, 15, 22, . . .

Musya8 [376]

$1,\ 8,\ 15,\ 22,...\ is\ an\ arithmetic\ sequence:\\\\8-1=7\\15-8=7\\22-15=7\\\\a_1=1;\ d=7\\\\a_n=a_1+(n-1)d\\\\subtitute\\\\a_n=1+(n-1)\cdot7=1+7n-7=7n-6\\\\Answer:\boxed{a_n=7n-6}$

4 0

4 years ago

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Find an equation of the line that satisfies the given conditions.

8090 [49]

Answer:

$x=8$

Step-by-step explanation:

Given:

The equation of the given line is $y=9$

A point on the unknown line is (8, 5).

The unknown line is perpendicular to the line $y=9$ .

A line of the form $y=a$ where 'a' is a constant is a line parallel to the x axis. The line has a constant value for 'y' irrespective of the value of 'x'. The slope of such lines are equal to 0. So, slope of the known line is 0.

Now, when two lines are perpendicular, the product of their slopes is -1.

Let the slope of the unknown line be 'm', then:

$m\times 0 =-1\\m=-\frac{-1}{0}=$ undefined.

Therefore, the slope of the unknown line is undefined. A line parallel to y axis has undefined slope. So, the equation of the unknown line is of the form:

$x=b$ where, 'b' is a constant and is equal to the abscissa (x value) of the line.

As per question, (8, 5) lies on this line. Therefore, the value of 'x' is 8.

So, the equation of the unknown line is $x=8$

8 0

4 years ago

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Find the missing angles.

Klio2033 [76]

Answer:

Angle 1 = 128

Angle 2 = 52

Angle 3 = 47

Angle 4 = 133

Angle 5 = 81

Step-by-step explanation:

Angle 5 is 81

Angle 3 is 47

Angle 4 is 133

Angle 2 is 52

Angle 1 is 128

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3 years ago