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2 years ago

1. What is the slope of the line that passes through the points (-1, -11) and (-6, -7)?

Mathematics

1 answer:

vfiekz [6]2 years ago

6 0

Answer:

The slope of the line is -4/5 or -0.8

Step-by-step explanation:

Slope = $\frac{rise}{run} =\frac{y_{2} -y_{1}}{x_{2}-x_{1}} =\frac{(-7)-(-11)}{(-6)-(-1)} =\frac{4}{-5} =\frac{-4}{5} =-0.8$

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Mary has 40% fewer marbles than Jolie. If they combine all their marbles in a single bag, what percent of the marbles in the bag

dedylja [7]

The easiest way to do this would be to imagine that Jolie has 100 marbles. If Mary has 40% fewer, that means she has 60 marbles. Then if they combine all their marbles into a single bag, they will have 160 marbles, of which 100 are Jolie's. So the % that is Jolie's is 100/160 = 0.625 = 62.5%.

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2 years ago

A = √7 + √c and b = √63 + √d where c and d are positive integers.

mrs_skeptik [129]

Answer:

$\displaystyle a:b=\frac{1}{3}$

Step-by-step explanation:

<u>Ratios </u>

We are given the following relations:

$a=\sqrt{7}+\sqrt{c}\qquad \qquad[1]$

$b=\sqrt{63}+\sqrt{d}\qquad \qquad[2]$

$\displaystyle \frac{c}{d}=\frac{1}{9} \qquad \qquad [3]$

From [3]:

$9c=d$

Replacing into [2]:

$b=\sqrt{63}+\sqrt{9c}$

We can express 63=9*7:

$b=\sqrt{9*7}+\sqrt{9c}$

Taking the square root of 9:

$b=3\sqrt{7}+3\sqrt{c}$

Factoring:

$b=3(\sqrt{7}+\sqrt{c})$

Find the ration a:b:

$\displaystyle a:b=\frac{\sqrt{7}+\sqrt{c}}{3(\sqrt{7}+\sqrt{c})}$

Simplifying:

$\boxed{a:b=\frac{1}{3}}$

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2 years ago

Which of the following is a rational number?

scoray [572]

Examples of rational numbers are: -2 = -2/1, -5 = -5/1, -14 = -14/1, 1/2, 2/3, 5/8, 3/4, 17/5, . 6 = 6/10 = 3/5, . 25 = 1/4, . 33 = 33/100, 2¾ = 11/4, 3⅓ = 10/3, .

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2 years ago

Triangle PQR is formed by the three squares A, B, and C:

Levart [38]

The first choice if ()2 means to the power of two if not then it is none of them.

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2 years ago

Read 2 more answers

The average of four different positive integers is 9. What is the greatest value for one of the integers?

saul85 [17]

From the given information; Let the unknown different positive integers be (a, b, c and d).

An integer is a set of element that are infinite and numeric in nature, these numbers do not contain fractions.

Suppose we make an assumption that (a) should be the greatest value of this integer.

Then, the other three positive integers (b, c and d) can be 1, 2 and 3 respectively in order to make (a) the greatest value of the integer.

Therefore, the average of this integers = 9

Mathematically;

$\mathbf{\dfrac{(a+b+c+d)}{4} =9}$

$\mathbf{\dfrac{(a+1+2+3)}{4} =9}$

$\mathbf{\dfrac{(6+a)}{4} =9}$

By cross multiplying;

6+a = 9 × 4

6+a = 36

a = 36 - 6

a = 30

Therefore, we can conclude that from the average of four positive integers which is equal to 9, the greatest value for one of the selected integers is equal to 30.

Learn more about integers here:

brainly.com/question/15276410?referrer=searchResults

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2 years ago

Read 2 more answers

1. What is the slope of the line that passes through the points (-1, -11) and (-6, -7)?​

1. What is the slope of the line that passes through the points (-1, -11) and (-6, -7)?