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Sergio039 [100]
3 years ago
12

What are the solutions to the quadratic equation (5y + 6)2 = 24?

Mathematics
1 answer:
nata0808 [166]3 years ago
3 0

Answer:

see explanation

Step-by-step explanation:

Given

(5y + 6)² = 24 ( take the square root of both sides )

5y + 6 = ± \sqrt{24} = ± 2\sqrt{6} ( subtract 6 from both sides )

5y = - 6 ± 2\sqrt{6} ( divide both sides by 5 )

y = \frac{-6+2\sqrt{6} }{5} and y = \frac{-6-2\sqrt{6} }{5}

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What is the slope of the line that passes through the points (-20, 18) and (30, 14)?
Mandarinka [93]

Answer:

The slope of the line that passes through the points (-20,18) and (30,14) is

m (slope) =  -2/25

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Math geometry help please show work thanks
Licemer1 [7]
<h3>Answer: Tony is correct</h3>

========================================================

Explanation:

There are number of ways to go about this, but let's pick on the sides marked in the diagram below (circled in red and blue). I picked on those sides specifically because they are on either side of the marked angles (A and Q).

They help form the proportion below, in which we'll show later on its a false statement.

AE/PQ = AB/QR

24/(14.5) = 18/(11.5)

24*11.5 = 14.5*18

270 = 261

We arrive at a false statement at the end, so the original proportion is false. Furthermore, it means the figures are <u>not</u> similar.

--------------

We could try the other way around and try to see if

AE/QR = AB/PQ

is true or not

Let's find out

24/(11.5) = 18/(14.5)

24*14.5 = 11.5*18

348 = 207

We see this is false as well. The gap is even bigger than before, so the first scenario was slightly close to having similar polygons. But neither case works perfectly. So that's why we don't have similar polygons and why Tony is correct. It's not enough to look at the angles only when dealing with polygons that have more than 3 sides. If we were just focused on triangles, then Jacenta would be correct.

4 0
3 years ago
A triangle has sides of length 4,3, and 5. is it a right triangle? explain
iVinArrow [24]
It is a right triangle because a 3, 4, 5 triangle is always a right triangle. it is because it is a Pythagorean Triple. all the sides are whole numbers
3 0
4 years ago
Read 2 more answers
A manufacturing facility is responsible for producing two components that are produced at states 1 (poor), 2 (below average), 3
garik1379 [7]

Answer:

a) i) P( final product is acceptable ) = 3/5

   ii) P ( final product not acceptable ) =  2/5

B)  P (  final product is acceptable | X =2 ) = 2/5

C)  P ( Y = 3 | Final product is acceptable ) = 2/5

Step-by-step explanation:

Given data :

5 states : 1 (poor), 2 (below average), 3 (average), 4 (good), and 5 (excellent)

Number of components produced = 2

X ( component 1 ) ∴ P(X) = 1/5

Y ( component 2 ) ∴ P(Y) = 1/5

Aim : Sum of Final product needs to be ≥ 6

<u>A) Probability of a final product been acceptable and also unacceptable</u>

P( final product is acceptable ) ; P(X + Y ≥ 6 )

= 1/5 ∑ P( Y ≥ 6 - x )

= 1/5 ( P( Y ≥ 5 ) + P( Y ≥ 4 ) + P( Y ≥ 3 ) + P( Y ≥ 2 ) + P( Y ≥ 1 )

= 1/5 ( 1/5 + 2/5 + 3/5 +4/5 + 1 )

= 3/5

P ( final product not acceptable ) = 1 - 3/5 = 2/5

B) P (  final product is acceptable | X =2 )

 ∴ P ( Y ≥ 4 )

   = 2/5

C) P ( Y = 3 | Final product is acceptable )

∴ P ( X ≥ 3 ) ≠ P( Y ≥ 3 )  ( because they are not independent )

  = 1 - 3/5 = 2/5.

8 0
3 years ago
Can someone please tell me the answer for this it’s due at 11:59 I really need help!!
Lerok [7]

Answer:

Step-by-step explanation:

a.6/1/2=x

b. 12

4 0
4 years ago
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