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Shalnov [3]
3 years ago
7

Please Help!! 8th Grade

Mathematics
1 answer:
vredina [299]3 years ago
7 0
Do not click the link above
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If m = (3x-1) and n = (3x+1),sjow that x² = mn+1 by 9​
aalyn [17]

Step-by-step explanation:

{x}^{2}  =  \frac{mn + 1}{9}

(3x - 1)(3x + 1)

9 {x}^{2}  - 1

{x}^{2}  =  \frac{9 {x}^{2 } - 1 + 1 } {9}

{x}^{2}  =  \frac{9 {x}^{2} }{9}

{x}^{2}  =  {x}^{2}

So this identity is true.

5 0
3 years ago
Given right triangle ABC with altitude BD is drawn to hypotenuse AC. If AB=5 and AD=1, what is the length of AC ? (Note: the fig
Alex17521 [72]

Answer:

x = 24.99 or 25

Step-by-step explanation:

<em>Using sin to figure out the angle of ABD, we can figure out the angle of CBD by subtracting it from 90°.</em>

sin y = (1/5)

y = 11.54°

90 - 11.54 = 78.46°

<em>Now using Pythagorean Theorem (</em><em>a²+b²=c²</em><em>) we can solve for line BD.</em>

1² + b² = 5²

1 + b² = 25

b² = 24

b = √24

<em>Now we can use tan to figure out the length of segment DC.</em>

tan(78.46) = z/√24

z = 23.99

<em>We can now combine the known length of segment AD and the length of DC to get </em><em>x</em><em>.</em>

1 + 23.99 = 24.99 or <u>about</u> 25.

8 0
3 years ago
PLSSSSSSSSSSSSSSSSSSSSS
Veseljchak [2.6K]

I believe that the correct answer would be A

Hope this helped love <3

4 0
3 years ago
If $5000 is invested at a rate of 3% interest
harkovskaia [24]

The value of the investment in 5 years is $5805.9

<h3>What is Interest ?</h3>

Interest is the amount earned over years for the amount invested.

It is given that

Principal = $5000

Rate = 3%

Compounded Quarterly

Time = 5 years

Amount = ?

The Amount is given by the formula

Amount = P( 1 + (r/n))ⁿˣ

Here n = t = time period for which the investment has been done.

Amount = 5000( 1+(3/4 * 100)⁴ˣ⁵

Amount = 5000 (1.16)

Amount = $ 5805.9

Therefore , The value of the investment in 5 years is $5805.9

To know more about Interest

brainly.com/question/13324776

#SPJ1

7 0
2 years ago
8x - 5 = 28x + 10, what does x equal?
uranmaximum [27]

Answer:

the answer is

x = -3/4

8 0
3 years ago
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