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Black_prince [1.1K]
3 years ago
5

The altitude to the hypotenuse of a right triangle divides the hypotenuse into segments of lengths 64 and 4. What is the length

of the altitude?
Mathematics
1 answer:
Brilliant_brown [7]3 years ago
8 0
Here, Ratio of corresponding length would be equal.
Let, Altitude = x
Then, 64 / x = x / 4
x² = 256
x = √256
x = 16

In short, Your Answer would be 16 units

Hope this helps!
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What is the quotient of (3x^4 - 4x^2 + 8 - 1) ÷ (x - 2)? Thank God and Jesus Christ for another day and year of life❤✝️! Don't f
arsen [322]

Answer:

The answer is c

Step-by-step explanation:

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6 0
3 years ago
A car dealership sells suv's and passenger cars. For a recent year, 90 more suv's were sold than passenger cars. If a total of 5
Lunna [17]

Answer:

300 SUVs were sold.

210 Passenger cars were sold.

Step-by-step explanation:

Let S denote the amount of SUVs sold and let P denote the amount of passenger cars sold.

The total amount of vehicles sold was 510, so:

S+P=510

90 more SUVs were sold than passenger cars. In other words:

S=90+P

We know have a system of equations. We can solve it buy substituting the second equation into the first. Thus:

90+P+P=510

Combine like terms:

2P+90=510

Subtract 90 from both sides:

2P=420

Divide both sides by 2:

P=210

So, the 210 passenger cars were sold.

This means that 210+90=300 SUVs were sold.

And we're done!

7 0
3 years ago
Hey, I need help with questions 1 and 2, if anyone can help, please? thanks!
Eva8 [605]

The correct works are:

  • Blue(s + h) = 2s^2 + 4sh + 2h^2 + 3.
  • \frac{Blue(s + h) - Blue(s)}{h} = 4s + 2h

<h3>Function Notation</h3>

The function is given as:

Blue(s) = 2s^2 + 3

The interpretation when Steven is asked to calculate Blue(s + h) is that:

Steven is asked to find the output of the function Blue, when the input is s + h

So, we have:

Blue(s + h) = 2(s + h)^2 + 3

Evaluate the exponent

Blue(s + h) = 2(s^2 + 2sh + h^2) + 3

Expand the bracket

Blue(s + h) = 2s^2 + 4sh + 2h^2 + 3

So, the correct work is:

Blue(s + h) = 2s^2 + 4sh + 2h^2 + 3

<h3>Simplifying Difference Quotient</h3>

In (a), we have:

Blue(s + h) = 2s^2 + 4sh + 2h^2 + 3

Blue(s) = 2s^2 + 3

The difference quotient is represented as:

\frac{f(x + h) - f(x)}{h}

So, we have:

\frac{Blue(s + h) - Blue(s)}{h} = \frac{2s^2 + 4sh + 2h^2 + 3 - 2s^2 - 3}{h}

Evaluate the like terms

\frac{Blue(s + h) - Blue(s)}{h} = \frac{4sh + 2h^2}{h}

Evaluate the quotient

\frac{Blue(s + h) - Blue(s)}{h} = 4s + 2h

Hence, the correct work is:

\frac{Blue(s + h) - Blue(s)}{h} = 4s + 2h

Read more about function notations at:

brainly.com/question/13136492

4 0
2 years ago
X²+8x-16 by factorising method<br><br><br> what is the ans pls I need it fast ASAP​
ch4aika [34]

Answer:

this cannot be factored since nothing shares factorable groups/values

Step-by-step explanation:

hope this helps:)

8 0
2 years ago
Solve for b.
tekilochka [14]

Answer:b>-1 and 66/67

Step-by-step explanation:

First you add like terms. So 96+43. Your problem should now look like this -67+6=139. Now subtract 139 from 6 and you will be left with this -67b<133. Now divide 133 by -67 and you get -1.985074627. Or -1 66/67 as a fraction. You have to flip the sign because you divided by a negative number. You answer should look like this b>-1 and 66/67.

4 0
2 years ago
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