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3 years ago

What is the slope of the line described by the data in the table below?

Mathematics

2 answers:

deff fn [24]3 years ago

8 0

Answer:

Step-by-step explanation:

General Equation: y = mx + b

You need two pieces of data to solve this.

When x = 1, y = 8

8 = 1x + b

When x = -1, y = 3

3 = - x + b

==================

8 = x + b

3 = -x + b If we add we get b so let's add.

11 =2b Divide by 2

11/2 = b

==================

y = mx + b

y = mx + 11/2 Now we can solve for m

3 = -m + 11/2 Subtract 11/2

3 - 11/2 = - m

- 2 1/2 = -m multiply by - 1

2 1/2 = m

m = 5/2

The answer is D

Elis [28]3 years ago

4 0

The answer to the problem is C

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Full steps and all reasons, thanks!

Nataly_w [17]

You can focus on the two sub-triangles ABC and ACD

We know that they are both right triangles, because we're given that AC and BD are perpendicular.

The sides AB and AD are the hypothenuses of these triangles, so we know their length through the pythagorean theorem:

$AD^2 = AC^2+CD^2$

$AB^2 = AC^2+BC^2$

But since we're given $BC=CD$ , the expressions for AD and AB are actually the same expression. This proves that AD=AB, and thus that the triangle is isosceles.

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4 years ago

Solve for x above: (*urgent help required*)

Shtirlitz [24]

Exact- X= -27/14
Decimal- x= 1.92857142
Mixed form- x= 1 13/14

8 0

3 years ago

7(1 - y) = -3(y-2) What is the answer

Fynjy0 [20]

Answer:

$\huge y = \frac{1}{4}$

Step-by-step explanation:

$7(1 - y) = -3(y-2)$

Expand the terms in the bracket

That's

$7 - 7y = - 3y + 6$

Add 3y to both sides of the equation

$7 - 7y + 3y = 3y - 3y + 6 \\ 7 - 4y = 6$

Subtract 7 from both sides by the equation

$7 - 7 - 4y = 6 - 7 \\ - 4y = - 1$

Divide both sides by - 4

$\frac{ - 4y}{ - 4} = \frac{ - 1}{ - 4} \\$

We have the final answer as

$y = \frac{1}{4} \\$

Hope this helps you

4 0

3 years ago

The summation symbol, is the Greek capital symbol and it is used like the English S. Why do you think it was chosen to represent

Ann [662]

Answer:

During the early days of mathematical expressions the Greeks needed a shorthand form of representing the summation of several terms hence the choice of ∑ as a sigma Notation.

Step-by-step explanation:

The summation symbol ∑ is the upper case equivalent of capital S in Greek and S represents sum in English.

During the early days of mathematical expressions the Greeks needed a shorthand form of representing the summation of several terms hence the choice of ∑ as a sigma Notation.

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3 years ago

Create a method of illustrating AAS using string and a protractor

DENIUS [597]

Answer:24/67

Step-by-step explanation:

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4 years ago