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mario62 [17]
3 years ago
7

What is the length of the unknown side of the right triangle? A right triangle with hypotenuse x and legs 7 and 24

Mathematics
1 answer:
riadik2000 [5.3K]3 years ago
5 0
We use the Pythagorean theorem
x^2=7^2+24^2
x^2=49+576
x^2=625
x=sqrt(625)=25
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A curve has the slope 2x+3 at each point (x,y) on the curve. What is an equation for this curve if it passes through the point (
yawa3891 [41]
Therefore, f(x) = 2x + 3 is your derivative function, and you need to find the original curve. So find the antiderivative using the given conditions... 

∫f(x) = ∫2x + 3 dx 
F(x) = x^2 + 3x + C 
2 = (1)^2 + 3(1) + C 
2 = 4 + C 
C= -2 

Therefore, the curve is F(x) = x^2 + 3x - 2 

Proof: The derivative is the slope at every (x, y) point. The derivative of F(x) comes out to be 2x + 3, so we have found the curve. Plug in x = 1, and y = 2, so the conditions have been met. 

<span>Hope I helped.</span>
5 0
3 years ago
Triangle DEF is isosceles, where . Angle FDE is bisected by segment DG, creating angle GDE with a measure of 29°. What is the me
schepotkina [342]
Isosceles - two sides equal 

2 angels the same 
 
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180 - 58 = 122

122 = DFE 
5 0
3 years ago
Read 2 more answers
Margaret is reading a book. The number of pages she has left to read is 276−35d276−35d , where d represents the number of days s
mamaluj [8]
276 - 35d

276 = total pages
35 = pages read per day
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8 0
4 years ago
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NEED HELP ASAP solve for x : 3/5 = x-1/8 <br>a.5 b.29/5 c.23/5 d.19/5
Levart [38]

Answer:

<h3>\boxed{ \sf{ \bold{ \huge{ \boxed{ \frac{29}{5} }}}}}</h3>

Option B is the correct option.

Step-by-step explanation:

\sf{ \frac{3}{5}  =  \frac{x - 1}{8} }

Apply cross product property

⇒\sf{ 5(x - 1) = 3 \times 8}

Distribute 5 through the parentheses

⇒\sf{5x - 5 = 3 \times 8}

Multiply the numbers

⇒\sf{5x - 5 = 24}

Move 5 to right hand side and change it's sign

⇒\sf{5x = 24 + 5}

Add the numbers

⇒\sf{5x = 29}

Divide both sides of the equation by 5

⇒\sf{ \frac{5x}{5}  =  \frac{29}{5} }

⇒\sf{x =  \frac{29}{5} }

Hope I helped!

Best regards!!

8 0
3 years ago
A cyclist rides into the country at an average speed of 10 miles per hour. When his bicycle gets a flat tire, he walks it back a
vladimir1956 [14]

Answer

Find out the  how far into the country does he go.  

To proof

Let us assume that the total diatance travelled into the country be x .

Formula

Time =\frac{Distance}{Speed}

As given

A cyclist rides into the country at an average speed of 10 miles per hour. When his bicycle gets a flat tire,

he walks it back at an average speed of 3 miles per hour.

If he returns home 6 and a half hours after he starts i.e the total time including the bike time and walk time of the cyclist be 6.5 hours.

Than the equation becomes

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Than the equation becomes

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solving

13x = 195

x = \frac{195}{13}

x = 15 miles into the country

Hence proved

6 0
3 years ago
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