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Dafna1 [17]
3 years ago
9

PLEASE HELP IVE ASKED THIS QUESTION 3 TIMES PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!​

Mathematics
1 answer:
worty [1.4K]3 years ago
4 0

THEOREM:

  • h² = p² + b² where h is hypotenuse, b is base and p is perpendicular.

ANSWER:

[3] By pythagorean theorem,

  • x² = 14² + 9²
  • x² = 196 + 81
  • x² = 277
  • x = √277
  • x = 16.64 rounded.

[4] By pythagorean theorem,

  • x² = 32² + 24²
  • x² = 1024 + 576
  • x² = 1600
  • x = √1600
  • x = 40.

[5] By pythagorean theorem,

  • (2x)² = 21² – 12.6²
  • 4x² = 441 – 158.76
  • 4x² = 284.24
  • x² = 284.24/4 = 70.56
  • x = √70.56
  • x = 8.4

[6] By tangent property,

  • 7x – 29 = 2x + 16
  • 7x – 2x = 16 + 29
  • 5x = 45
  • x = 9.

So, WX = 7(9) – 29 = 63 – 29

  • WX = 34
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3 years ago
Find the slope of the line passing through the points <br> , −8−3<br> and <br> , −34<br> .
alukav5142 [94]

Slope of the line passing through two points <span><span>P=<span>(<span><span>x1</span>,<span>y1</span></span>) </span></span></span>and <span><span>Q=<span>(<span><span>x2</span>,<span>y2</span></span>)</span></span></span> is given by <span><span>m=<span><span><span>y2</span>−<span>y1/</span></span><span><span>x2</span>−<span>x1</span></span></span></span></span>.

We have that <span><span><span>x1</span>=−8</span></span>, <span><span><span>y1</span>=−3</span></span>, <span><span><span>x2</span>=−3</span></span>, <span><span><span>y2</span>=4</span></span>.

Plug given values into formula for slope: <span><span>m=<span><span><span>(4)</span>−<span>(<span>−3</span>)/</span></span><span><span>(<span>−3</span>)</span>−<span>(<span>−8</span>)</span></span></span>=<span>7/5</span></span></span>.

Now y-intercept is <span><span>b=<span>y1</span>−m⋅<span>x1</span></span></span> .

<span><span>b=−3−<span>(<span>7/5</span>)</span>⋅<span>(<span>−8</span>)</span>=<span>41/5.</span></span></span>

Finally, equation of the line can be written in the form <span><span>y=mx+b</span></span>.

<span><span>y=<span>7/5</span>x+<span>41/5</span></span></span>

5 0
3 years ago
80 is what percent 300 ( please explain)
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It’s about 26.67%... hope this helps!
6 0
3 years ago
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8x to the 2nd power +2x-3=0
Papessa [141]

Answer:

x= 1/2 and -3/4

Step-by-step explanation:

By using factorization, we can solve this equation.

8x^2+2x-3=0

Factor:

(2x-1)(4x+3)=0

Solve:

2x-1=0

2x=1

x=1/2

Solve again:

4x+3=0

4x=-3

x=-3/4

Hope this helped

5 0
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A painter uses 2.75 gallons of paint per hour. How many gallons of paint will the painter use in 3.5 hours?
anygoal [31]

Answer:

9.625 gallons will be used by the painters in 3.5 hours

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2.75 gallons = 1 hr

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8 0
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