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expeople1 [14]
3 years ago
9

Factor 6(2p q)^2 -5(2p q) - 25

Mathematics
1 answer:
kherson [118]3 years ago
3 0
Treat the 2p+q as x

6x2-5x-25
trial and error
(2x-5)(3x+5)
replace x with (2p+q)
(2(2p+q)-5)(3(2p+q)+5)
(4p+2q-5)(6p+3q+5)
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The hypotenuse of a right triangle is four times the length of one of the legs. The length of the other leg is 1500⎯⎯⎯⎯⎯⎯⎯⎯√ fee
Mrac [35]

Answer:

Step-by-step explanation:

So this is just playing with the pythagorean theorem

a^2 + b^2 = c^2 with a and b as legs and c as the hypotenuse.

Let's say a is equal to 1500 so then c is 4 times b

1500^2 + b^2 = (4b)^2  Now we just treat this like a normal algebraic expression

2,250,000 = 16b^2 - b^2

2,250,000 = 15b^2

150,000 = b^2

sqrt(150,000) = b

100sqrt(15) = b

You can check this now.

1500^2 + sqrt(150,000)^2 = c^2

sqrt(2,250,000 + 150,000) = c

sqrt(2,400,000) = c

400sqrt(15) = c Which fits the requirement of c = 4b

7 0
3 years ago
What is the y intercept of a line that passes through (1,-7) and (5,-25). How do I find it.
LUCKY_DIMON [66]

Answer:

y- intercept = - 2.5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

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

with (x₁, y₁ ) = (1, - 7) and (x₂, y₂ ) = (5, - 25)

m = \frac{-25+7}{5-1} = \frac{-18}{4} = - 4.5 , then

y = - 4.5x + c

To find c substitute either of the 2 points into the equation

Using (1, - 7), then

- 7 = - 4.5 + c ⇒ c = - 7 + 4.5 = - 2.5

y- intercept c = - 2.5

3 0
2 years ago
Can someone help me with this????
AlladinOne [14]
The answer is 1.
Rise over run :)
8 0
3 years ago
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4x+5=45 (Show work to get brainliest)<br><br> A) 5<br> B) 10<br> C) 15<br> D) 20
jasenka [17]

Answer:

B) 10

Step-by-step explanation:

4x+5=45

     -5   -5

4x=40

/4    /4

x=10

3 0
3 years ago
Read 2 more answers
What is heavier a ton of feathers or a ton of elephants
juin [17]
Both weigh the same, 2000 pounds or one ton. You'll just need a lot more feathers than elephants.;
8 0
3 years ago
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