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Aleksandr [31]
3 years ago
15

Solve for x Please show your work Thank you

Mathematics
1 answer:
Licemer1 [7]3 years ago
6 0
6-4=2
5-X=?
5-2=3
X=3
That is the answer, sorry if i didn't explain it well<span />
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The height of a triangle is 2 less than 5 times its base. If the base of the triangle is xfeet, and the area is 12 square feet,
Reil [10]

Answer:

5B^{2}  - 12B +10B - 24 = 0\\\\\   Base of triangle = 2.4 Feet and Height of triangle = 10 feet.

Step-by-step explanation:

This problem can be solved by using formula to calculate area of triangle.

<u>Area of triangle = 1/2*(base*height)</u>

given

Let base of triangle B

height if triangle H

according to problem

The height of a triangle is 2 less than 5 times its base

mathematically it can be expressed as

H = 5*B - 2

Given area of triangle= 12 sq feet

Area of triangle = 1/2*(base*height)

=> 12 = 1/2* {B*(5*B-2)}

=> 24 = 5B^2 - 2B

5B^{2}  - 12B +10B - 24 = 0\\\\\   which is a  quadratic equation

It can be solved as given below

5B^{2}  +10B - 12B  - 24 = 0\\\\\=>5B(B +2) -12(B +2) = 0\\=> (5B - 12) (B +2) = 0\\5B - 12 = 0      or B + 2 = 0\\Hence B = 12/5 \  or  \ B = -2\\\\  

Since for side of triangle B cannot be negative number hence B= 12/5 = 2.4

Therefore height of triangle = 5*B - 2 = 5*2.4 - 2 = 12 - 2 = 10

Base of triangle = 2.4 Feet and Height of triangle = 10 feet.

Equation which models this situation is

5B^{2}  - 12B +10B - 24 = 0\\\\\

6 0
3 years ago
Simplify negative 2 and 1 over 6 – negative 7 and 1 over 3. negative 5 and 1 over 6 negative 9 and 3 over 6 9 and 3 over 6 5 and
luda_lava [24]

Answer:

5 and 1 over 6

Step-by-step explanation:

<u>Simplifying the given:</u>

  • Negative 2 and 1 over 6 – negative 7 and 1 over 3 ⇒ <em>translated as</em>:
  • - 2 1/6 - (-7 1/3) =         ⇒ <em>cancelling negatives and changing mixed fractions to improper fractions</em>
  • - 13/6 + 22/3 =            ⇒ <em>bringing to same denominator</em>
  • - 13/6 + 44/6 =            ⇒ calculating the numerator
  • 31/6 =                          ⇒ making mixed fraction
  • 5 1/6                            ⇒ answer

<u>Correct choice is the last one: </u>5 and 1 over 6

4 0
4 years ago
Read 2 more answers
6 + (-9) - (-4) - 3 <br> help
Grace [21]

<em>Hi</em><em>!</em>

<em>Answer</em><em>:</em>

<em>6</em><em> </em><em>+</em><em> </em><em>(</em><em>-9</em><em>)</em><em> </em><em>-</em><em> </em><em>(</em><em>-4</em><em>)</em><em> </em><em>-</em><em> </em><em>3</em><em> </em><em>=</em>

<em>=</em><em> </em><em>6</em><em> </em><em>-</em><em> </em><em>9</em><em> </em><em>-</em><em> </em><em>b</em><em> </em><em>(</em><em>-4</em><em>)</em><em> </em><em>-</em><em> </em><em>3</em>

<em>=</em><em> </em><em>6</em><em> </em><em>-</em><em> </em><em>9</em><em> </em><em>+</em><em> </em><em>4b</em><em> </em><em>-</em><em> </em><em>3</em>

<em>=</em><em> </em><em>-6</em><em> </em><em>+</em><em> </em><em>4b</em>

<em>=</em><em> </em><em>4b</em><em> </em><em>-</em><em> </em><em>6</em>

<em>I hope I helped you! Good luck at school! </em>

7 0
3 years ago
Tom has a 500 gallon pool. He is able to drain it at a rate of 15 gallons per minute.  if the pool still has 170 gallons of wa
Akimi4 [234]

Answer: 22 minutes

Step-by-step explanation: 500-170 means that he drained 330 gallons of water so 330 divided by 15 gallons a minute so you get 22 so it takes 22 minutes to have 170 gallons left in the pool

8 0
3 years ago
1. Identify the LCM for 6 and 18. O 36 O 6 O 18 O 108​
Sphinxa [80]

Answer: 18

Step-by-step explanation: 6 x 3 = 18, 18 x 1 = 18

8 0
3 years ago
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