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2 years ago

Find the equation of the line that passes through (-4,1) and is parallel to 1/2

Mathematics

1 answer:

Bumek [7]2 years ago

3 0

Answer:

y = 1/2 x + 3

Step-by-step explanation:

Since the lines are parallel, m1 = m2

y — y1 = m(x — x1)

Data obtained from the question include:

m = 1/2

x1 = —4

y1 = 1

y — y1 = m(x — x1)

y — 1 = 1/2(x — —4)

y — 1 = 1/2(x + 4)

y —1 = 1/2x + 2

y = 1/2x + 2 + 1

y = 1/2 x + 3

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Which expression is equivalent to (x^4/3 x^2/3)^1/3?

KATRIN_1 [288]

Answer: $x^{\frac{2}{3} }$

Step-by-step explanation:

We have several properties of exponents in use here. The two that are used are:

$(x^{a})(x^{b}) = x^{a + b}$ (Exponents with the same base that are being multiplied together can have the exponents added)

$(x^{a})^{b} = x^{(a)(b)}$ (A base raised to a power, and then raised to another power means that you can multiply the exponents to get the same result as doing inside operations and then outside operations)

Let's apply it!

First, let's simplify what's inside the parenthesis.

$x^{\frac{4}{3} } x^{\frac{2}{3} }$ (Remember, they have the same base of "x", so we can add the exponents)

$x^{\frac{4}{3} + \frac{2}{3} }$ = $x^{\frac{6}{3} }$ = $x^{2}$

Now we have $(x^{2})^{\frac{1}{3} }$ . Let's use the second rule.

$(x^{2})^{\frac{1}{3} }$ = $x^{\frac{2}{3} }$

Hope this helps! :^)

7 0

3 years ago

3 ^ 2 x * 3 - 4 * 3 ^ x + 1 equals 0 <img src="https://tex.z-dn.net/?f=%20%7B3%7D%5E%7B2x%20%2B%201%7D%20%20%20-%204%20%5Ctim

Sophie [7]

Explanation just use gauth.math
Hope this helps

Answer:

6 0

2 years ago

Segment KJ shown below is the hypotenuse of isosceles right triangle JLK.

irga5000 [103]

On a coordinate plane it is negetive 5

7 0

2 years ago

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Help me with this question plz

Dvinal [7]

Answer:

Step-by-step explanation:

4x +8 = 7x -4

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2 years ago

What does y equal when x = -6 in 3x + y = 6 What’s the answer

tresset_1 [31]

Answer:

y = 24

Step-by-step explanation:

3x + y = 6

Solve for y

Subtract 3x from each side

3x -3x+ y = 6-3x

y = 6-3x

Let x = -6

y = 6 -3(-6)

=6+18

=24

3 0

2 years ago

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