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3 years ago

What is the equation of the line that passes through the point (-6,1) and has a slope of 1/6?

Mathematics

1 answer:

vodomira [7]3 years ago

4 0

Answer:

y - 1 = 1/6x + 1 <<< Point slope form

y = 1/6x + 2 <<< slope intercept form

Either one works unless the question specifies the form of the equation

Step-by-step explanation:

Point slope form: (y - y1) = m(x - x1)

Given: (-6,1) ; m = 1/6

(y - 1) = 1/6(x - (-6))

y - 1 = 1/6x + 1 <<< Point slope form

y = 1/6x + 2 <<< slope intercept form: y = mx + b

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3x+5(2+x)=4x-7 help me out here?

Oksi-84 [34.3K]

Answer:

x = -17/4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Distributive Property

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify

3x + 5(2 + x) = 4x - 7

Step 2: Solve for x

[Distributive Property] Distribute 5: 3x + 10 + 5x = 4x - 7
[Addition] Combine like terms: 8x + 10 = 4x - 7
[Subtraction Property of Equality] Subtract 4x on both sides: 4x + 10 = -7
[Subtraction Property of Equality] Subtract 10 on both sides: 4x = -17
[Division Property of Equality] Divide 4 on both sides: x = -17/4

6 0

3 years ago

Read 2 more answers

Simplify the expression by combining like terms if possible. If not possible select already simplified. 4a^2+2a+4a^2-5

vichka [17]

So the expression is: $4 a^{2} + 2a + 4 a^{2} - 5$

You can combine like terms, which are terms that contain the same variables raised to the same power. That means you can combine the two $4 a^{2}$ . $4 a^{2} + 4 a^{2} = 8 a^{2}$ The other terms can't be combined.

Your final answer should be $8 a^{2} +2a-5$ .

8 0

3 years ago

Solve the equation. 12=2+z/-6

Bogdan [553]

Answer:

$\boxed{\bold{z=-60}}$

Step-by-step explanation:

Switch Sides

$\bold{2+\frac{z}{-6}=12}$

Subtract 2 From Both Sides

$\bold{2+\frac{z}{-6}-2=12-2}$

Simplify

$\bold{\frac{z}{-6}=10}$

Multiply Both Sides By -6

$\bold{\frac{z\left(-6\right)}{-6}=10\left(-6\right)}$

Simplify

$\bold{z=-60}$

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3 years ago

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I really need help so please do your thing and help me

sergey [27]

What is the answer choices bc I can’t help if I don’t know them

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3 years ago

The ends of a pipe when measured with a tape measure that has marks every millimeter are exactly at the 0 mark and the 15 meter

exis [7]

If the ends span from the 0 to the 15 meter mark, then the length of the pipe is 15 meters. However, you should report it using the right amount of significant figures. It is mentioned in the problem that millimeter marks are calibrated between meters. Since millimeter is 1/1000 of a meter, you should add three decimal places to the 15 meters. Hence, you should report it as 15.000 meters.

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4 years ago