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2 years ago

What's the slope of (1, 4) and (0, 11) ?

Mathematics

2 answers:

pogonyaev2 years ago

5 0

Answer: Slope = -7

Concept:

Here, we need to know the formula that helps to find the slope by two points.

The slope of a line is a number that describes both the direction and the steepness of the line.

Slope = Δy / Δx = (y₂ - y₁) / (x₂ - x₁)

Solve:

Given information

(x₁, y₁) = (1, 4)

(x₂, y₂) = (0, 11)

Given expression

Slope = (y₂ - y₁) / (x₂ - x₁)

Substitute values into the expression

Slope = (11 - 4) / (0 - 1)

Simplify the values in the parentheses by subtraction

Slope = (7) / (-1)

Simplify by division

$\boxed{Slope=-7}$

Hope this helps!! :)

Please let me know if you have any questions

Alisiya [41]2 years ago

4 0

-7 is the slope.

the slope formula is x2,y2-x1,y1
0-1=-1
11-4=7

the y goes on top of the x in the notation, so 7/-1 can be simplified to -7.

Hope this helps:)

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3 years ago

Express 0.361 recurring as a fraction. (only the 61 recurs)

Oduvanchick [21]

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Answer:

179/495

Step-by-step explanation:

When the repeating decimal starts at the decimal point, the repeating digits can be turned into a fraction by putting them over the same number of 9s. That is, 0.61616161... is equivalent to 61/99.

Here, the repeating part is 1/10 that value, so is 61/990. This is added to the non-repeating part, which is 0.3 = 3/10.

Then the entire decimal is ...

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2 years ago

Question 6 of 9 (3•8) • 1 = 3 • (8.1) O A. True B. False

olga nikolaevna [1]

Answer:

No, (false). The question I assume was: $(3*8)*1=3*(8.1)$

Step-by-step explanation:

1. Multiple: 3 * 8 = 24

2. Multiple: The result of step No. 1: * 1 = 24 * 1 = 24

3. Conversion a decimal number to a fraction: 8.1 = $\frac{81}{10}$ = $\frac{81}{10}$

a) Write down the decimal 8.1 divided by 1: 8.1 = $\frac{81}{1}$

b) Multiply both top and bottom by 10 for every number after the

decimal point. (For example, if there are two numbers after the decimal

point, then use 100, if there are three then use 1000, etc.)

$\frac{8.1}{1}$ = $\frac{81}{10}$

Note: $\frac{81}{10}$ is called a decimal fraction.

c) Simplify and reduce the fraction

$\frac{81}{10} = \frac{81*1}{10*1} = \frac{81}{10}$

4. Multiple: 3 * 8.1 = $\frac{3*81}{1*10}$ = $\frac{243}{10}$

Multiply both numerators and denominators. Result fraction keep to lowest

possible denominator GCD(243, 10) = 1. In the next intermediate step the

fraction result cannot be further simplified by canceling.

In words - three multiplied by eighty-one tenths = two hundred forty-three

tenths.

5. Compare: The result of step No. 2 vs The result of step No. 4: = 24 vs $\frac{243}{10}$ = $\frac{24}{1}$ vs $\frac{243}{10}$ = $\frac{24*10}{1*10}$ vs $\frac{243}{10}$ = $\frac{240}{10}$ vs $\frac{243}{10}$ = 240 vs 243 = No