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alex41 [277]
3 years ago
7

What is the simplified form of x+6 over x+4 + x-3 over 3

Mathematics
1 answer:
Zigmanuir [339]3 years ago
7 0
1 Cancel <span>33</span>
<span>x+\frac{6}{x}+4+x-1<span>x+<span><span>​x</span>​<span>​6</span><span>​​</span></span>+4+x−1</span></span>
2 Collect like terms
<span>(x+x)+\frac{6}{x}+(4-1)<span>(x+x)+<span><span>​x</span>​<span>​6</span><span>​​</span></span>+(4−1)</span></span>
3 Simplify
<span><span>2x+\frac{6}{x}+3<span>2x+<span><span>​x</span>​<span>​6</span><span>​​</span></span>+3</span></span><span>
</span></span>
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What is the point-slope form of a line that has a slope of 5 and passes through the point (3, –4)?
Alinara [238K]

Answer:

y + 4 = 5(x - 3)

Step-by-step explanation:

In the Point-Slope Formula, <em>y</em><em> </em><em>-</em><em> </em><em>y</em><em>₁</em><em> </em><em>=</em><em> </em><em>m</em><em>(</em><em>x</em><em> </em><em>-</em><em> </em><em>x</em><em>₁</em><em>)</em><em>,</em><em> </em>all the negative symbols give the OPPOSITE terms of what they really are.

6 0
3 years ago
Ten less than a number is three more than six times the number.
Dahasolnce [82]

Write it as an equation:

X - 10 = 6x + 3

Now solve for x:

Subtract 3 from both sides:

x-13 = 6x

Subtract 1 x from both sides:

-13 = 5x

Divide both sides by 5:

x = -13/5

6 0
3 years ago
Read 2 more answers
3.50 rounded to the nearest whole ounce​
Maslowich

Answer:

4

Step-by-step explanation:

Look at the tenths place to round.

4 and below, round down.

5 and above, round up.

In this case, it’s 5 so round up.

3.50 -> 4

5 0
3 years ago
NEED HELP ASAP!!!!!!!!!!!
zhenek [66]

The equation  x=tan^{-1}(\frac{12}{5}) can be used to find the measure of ∠BAC ⇒ 2nd answer

Step-by-step explanation:

Let us revise the trigonometry ratios in the right triangle ABC, where B is the right angle, AC is the hypotenuse, AB and BC are the legs of the triangle

The trigonometry ratios of the ∠BAC, the opposite side to this angle is BC and the adjacent side to it is AB are

  • sin(BAC)=\frac{opposite}{hypotenuse}=\frac{BC}{AC}
  • cos(BAC)=\frac{adjacent}{hypotenuse}=\frac{AB}{AC}
  • tan(BAC)=\frac{opposite}{adjacent}=\frac{BC}{AB}

In Δ ABC

∵ ∠ BCA is a right angle

∴ The hypotenuse is AB

∵ The adjacent side to ∠CAB is AC

∵ The opposite side to ∠CAB is BC

∵ AB = 13 units ⇒ hypotenuse

∵ CB = 12 units ⇒ opposite

∵ AC = 5 units ⇒ adjacent

- Let us find the trigonometry ratios of angle BAC

∵ m∠CAB is x

∵ sin(x)=\frac{BC}{AB}

∴ sin(x)=\frac{12}{13}

∴ x=sin^{-1}(\frac{12}{13})

∵ cos(x)=\frac{AC}{AB}

∴ cos(x)=\frac{5}{13}

∴ x=cos^{-1}(\frac{5}{13})

∵ tan(x)=\frac{BC}{AC}

∴ tan(x)=\frac{12}{5}

∴ x=tan^{-1}(\frac{12}{5})

The equation  x=tan^{-1}(\frac{12}{5}) can be used to find the measure of ∠BAC

Learn more:

You can learn more about the trigonometry ratios in brainly.com/question/4924817

#LearnwithBrainly

4 0
3 years ago
Read 2 more answers
Julie decided to grow a plant from a seed. She measured the height of her plant each day for 30 days.
k0ka [10]

The given formula is f(t) = 0.4t

They want to solve for f(10), replace t in the formula with 10"

f(10) = 0.4(10)

Multiply:

f(10) = 4 centimeters.

4 0
3 years ago
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