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Dmitriy789 [7]
3 years ago
12

1. **What is the slope of a line that passes through the points (-1,30) and (4, 10)

Mathematics
1 answer:
tresset_1 [31]3 years ago
8 0

Answer:

Slope = -4

Step-by-step explanation:

Given points are :

(-1,30) and (4, 10)

We need to find the slope of the line that passes through these points.

We know that, the formula for the slope of line is given by :

m=\dfrac{y_2-y_1}{x_2-x_1}

We have, x₁ = -1, y₁ = 30, x₂ = 4 and y₂ = 10

Put values in the above formula.

m=\dfrac{10-30}{4-(-1)}\\\\=\dfrac{-20}{5}\\\\=-4

So, the slope of the line is -4.

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Answer:

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Step-by-step explanation:

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Mice21 [21]

Answer:

Step-by-step explanation:

NA = √[(- 4 - 1 )² + (- 3 - 2)²] = 5√2

AT = √[(8 - 1 )² + (1 - 2)²] = 5√2

TS = √[(3 - 8 )² + (- 4 - 1)²] = 5√2

NS = √[(- 4 - 3 )² + (- 3 + 4)²] = 5√2

NA = AT = TS = NS = 5√2

m_{NA} = (- 3 - 2) / (- 4 - 1) = 1 ........ <em>(1)</em>

m_{TS} = (- 4 - 1) / (3 - 8 ) = 1 ......... <em>(2)</em>

From (1) and (2) ⇒ NA║TS

m_{AT} = ( 1 - 2) / ( 8 - 1) = - 1 / 7 .......... <em>(3)</em>

m_{NS} = ( - 4 + 3) / ( 3 + 4) = - 1 / 7 .... <em>(4)</em>

From (3) and (4) ⇒ AT║NS

Thus, NATS is rhombus.

4 0
3 years ago
Should it be facing left or right ?
riadik2000 [5.3K]

Answer:

Facing Right

Step-by-step explanation:

Given inequalities are:

4-x≤-1

Subtracting 4 from both sides

4-x-4≤-1-4

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Multiplying both sides with -1. Multiplying with a negative number changes the sign of the inequality

So,

x≥5

Second Inequality:

2+3x≥17

Subtracting 2 from both sides

2+3x-2≥17-2

3x≥15

Dividing both sides by 3

x≥5

Union of both solutions:

x≥5 ∩ x≥5

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Hence the solution will be facing right on the number line towards all numbers greater than or equals to 5 ..

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Answer:

y

Step-by-step explanation:

First you would find y because two or more of the numbers have it. Then you would be able to solve for x

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MrRa [10]

Answer:

x = 4, -2 1/2

Step-by-step explanation:

factors:

(2x + 5) (x - 4)

set each factor equal to zero:

2x + 5 = 0

2x = -5

x = -5/2

x - 4 = 0

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3 years ago
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