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Cloud [144]
2 years ago
11

Write an equation in point slope form of equation of line point (7,10) and has a slope of -2?

Mathematics
1 answer:
Lapatulllka [165]2 years ago
8 0

Answer:

y-10=-2(x-7)

Step-by-step explanation:

Point-slope form: y-y_1=m(x-x_1) where m is the slope and (x_1,y_1) is the given point

Plug in the slope

y-y_1=-2(x-x_1)

Plug in the given point (7,10)

y-10=-2(x-7)

I hope this helps!

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The density of a substance is the mass of the substance per unit of volume. The density of the element Americium is inversely pr
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Answer:

(3,4)

Step-by-step explanation:

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Help me out please! everyday !
Lady bird [3.3K]

Answer:

V = 904.32 ft^3

Step-by-step explanation:

The volume of a sphere is given by

V = 4/3 pi r^3

The radius is 6 and pi = 3.14

V = 4/3 ( 3.14) (6)^3

V = 904.31999 ft^3

Rounding to the hundredths place

V = 904.32 ft^3

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2 years ago
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Evaluate the expression using a calculator:
tester [92]

The value of the expression is 0.0265. Using exponents and power rules, the required value is calculated.

<h3>What are the exponent and power rules?</h3>

The important exponent and power rules are:

  • a⁻ⁿ = 1/aⁿ; negative exponent
  • (ab)ⁿ = aⁿ × bⁿ; power of a product rule
  • aⁿ × aˣ = aⁿ⁺ˣ; multiplication rule
  • aⁿ/aˣ = aⁿ⁻ˣ; division rule
  • a^{\frac{x}{y} } = \sqrt[y]{a^x}; fractional exponent

<h3>Calculation:</h3>

The given expression is 126^{-3/4}

Using calculator: 126^{-3/4} = 0.0265

Applying the exponent rule for evaluating the given expression:

126^{-3/4}

Applying the negative power rule;

I.e., a⁻ⁿ = 1/aⁿ

⇒ 126^{-3/4}=\frac{1}{126^{3/4}}

Applying fractional exponent rule;

I.e., a^{\frac{x}{y} } = \sqrt[y]{a^x}

⇒ \frac{1}{126^{3/4}}=\frac{1}{\sqrt[4]{126^3} }

⇒ 1/\sqrt[4]{2000376}

⇒ 1/37.6077

⇒ 0.0265

Therefore, the value of the given expression is 0.0265.

Learn more about exponent rules here:

brainly.com/question/11975096

#SPJ1

4 0
9 months ago
Simplify this expression: -2(-4x + 2y - 6)
Monica [59]

Answer:

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Step-by-step explanation:

-2(-4x + 2y - 6)

(-2)(-4x) + (-2)(2y) + (-2)(-6)

(2 * 4x) - (2 * 2y) + (2 * 6)

8x - 4y + 12

4 0
2 years ago
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steposvetlana [31]

Answer:

Yes

Step-by-step explanation:

One input to one output is a linear one-to-one function.

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