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3 years ago

En the line below.

Mathematics

1 answer:

igomit [66]3 years ago

8 0

Answer:

y + 1 = - $\frac{2}{7}$ (x + 4)

Step-by-step explanation:

The equation of a line in point- slope form is

y - y₁ = m(x - x₁)

where m is the slope and (x₁, y₁) a point on the line

Calculate m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (- 4, - 1) and (x₂, y₂ ) = (3, - 3)

m = $\frac{-3+1}{3+4}$ = $\frac{-2}{7}$ = - $\frac{2}{7}$

and (x₁, y₁ ) = (- 4, - 1), then

y - (- 1) = - $\frac{2}{7}$ ( x - (- 4) ) , that is

y + 1 = - $\frac{2}{7}$ (x + 4) ← equation of line

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Simplify each exponential expression to the form x^n where n is positive.

vaieri [72.5K]

The expression is:

$\sqrt{\frac{x^{3}x^{8}}{x^{6}}}$

We will use following steps to simplify it:

Step 1:

Use product property of exponents:

$x^{a}*x^{b}=x^{a+b}$

$x^{3}*x^{8}=x^{8+3}$

$x^{3}*x^{8}=x^{11}$

That gives us the expression:

$\sqrt{\frac{x^{11}}{x^{6}}}$

Step 2:

Use division property of exponents:

$\frac{x^{a}}{x^{b}}=x^{a-b}$

$\frac{x^{11}}{x^{6}}=x^{11-6}$

$\frac{x^{11}}{x^{6}}=x^{5}$

This simplifies the expression:

$\sqrt{x^{5}}$

Step 3:

Writing the square root as power 1/2:

$\sqrt{x^{5}}=x^{5*\frac{1}{2} }$

$\sqrt{x^{5}}=x^{\frac{5}{2} }$

Answer:

The final simplified form in x^n form is :

$x^{\frac{5}{2} }$

4 0

4 years ago

Does 4=-3/2(-4)-2 equal out to (-4,4)

Marizza181 [45]

Answer:

yes

Step-by-step explanation:

well im going to assume that the original equation is y = -3/2x - 2

if that is the case, then if you plug in the numbers

4 = -3/2(-4) - 2

4 = 6 - 2

4 = 4

so yes when x is -4, y is 4; (x, y) (-4, 4)

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4 years ago

Write the equation of the line that passes through the point (-2, 4) and has a slope of -1. Show work please

vovangra [49]

Answer:

y = -x + 2

Step-by-step explanation:

If you know the slope and a point on the line, then you can find the equation with an equation:

(y - y1) = m (x - x1)

We have our slope, -1; we have a x1, -2, and a y1, 4, so we're all set to find the equation. Plug in the numbers:

y - 4 = -1 ( x + 2 )

y - 4 = -x - 2

y = -x + 2

Our equation is y = -x + 2

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3 years ago

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3 years ago

a car was purchased last year for $28,500. now its value is $25,510. at what rate is the car's value depreciating each year?

DanielleElmas [232]

Answer:

The car's value is depreciating by $2,990 per year.

Step-by-step explanation:

To solve this problem, we just need to subtract the cars value this year, or $25,510, from the car value of last year, or $28,500.

28,500 - 25,510 = $2,990

Since the car value was $2,990 more just last year, the car's value is depreciating by $2,990 per year.

Hope this helps! :D

8 0

3 years ago