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stepladder [879]
2 years ago
7

Please answer correctly !!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!

Mathematics
2 answers:
Mamont248 [21]2 years ago
7 0
<h2><em>If you put and label the three points in a line, you will see that RS + ST = RT. </em></h2><h2><em> </em></h2><h2><em>Then you only need to substitue with the expressions given for RS and ST to find RT. </em></h2><h2><em> </em></h2><h2><em>RT = x +1 + 2x - 2 = 3x - 1 </em></h2><h2><em> </em></h2><h2><em>Also, RT = 5x - 5 </em></h2><h2><em> </em></h2><h2><em>Then, 3x - 1 = 5x - 5 </em></h2><h2><em> </em></h2><h2><em>5x - 3x = 5 - 1 </em></h2><h2><em> </em></h2><h2><em>2x = 4 </em></h2><h2><em> </em></h2><h2><em>x = 4/2 = 2 </em></h2><h2><em> </em></h2><h2><u><em>X=2</em></u></h2>
viktelen [127]2 years ago
3 0
X Would Be 2 I Hope That Helped .
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Write the following statements in the form of equations.
pav-90 [236]

Answer:

a. The sum of five times p and 8 is 23.

8 0
2 years ago
Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = 8 sin(x
V125BC [204]

Answer with explanation:

The equation of two curves are

y=8 sin x

y=8 cos x

The point of intersection of two curves are

→8 sin x=8 cos x

sinx = cos x

x=\frac{\pi}{4}\\\\y=8\sin\frac{\pi}{4}\\\\y=4\sqrt{2}

When you will look between points , 0 and x=\frac{\pi}{4}\\\\y=8\sin\frac{\pi}{4}\\\\y=4\sqrt{2},the curve obtained is right angled triangle.

Now, rotate the curve that is right angled triangle along the line , y= -1, to obtain a shape similar or resembling with Right triangular prism.

Draw a circular disc in the right triangular prism , having radius =x,and small part on the triangle having length dx.dx varies from 0 to \frac{\pi}{4}.

Required volume of solid obtained

    =\int\limits^{\frac{\pi}{4}}_0 {8 \sin x} \, dx \\\\=|-8\cos x|\left \{ {{x=\frac{\pi}{4}}} \atop {x=0}} \right.\\\\=8-4\sqrt{2}

    =8-4√2 cubic units    

5 0
2 years ago
Although five of John's answers were incorrect, 90% of his answers were correct. How many questions did John answer in all?
fiasKO [112]

Answer:

John answered 50 questions.

Step-by-step explanation:

Although five of John's answers were incorrect, 90% of his answers were correct.

This means that 5 is 100 - 90% = 10% of the total number of questions, n. So

0.1n = 5

n = \frac{5}{0.1}

n = 50

John answered 50 questions.

7 0
2 years ago
Slope-intercept from two points<br> Complete the equation of the line through (-8.8) and (1,-10).
Andrei [34K]

Answer:

y=− 2x−8 is the equation

Step-by-step explanation:

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5 0
3 years ago
WILL GIVE BEST RESPONSE
tino4ka555 [31]
We will use demonstration of recurrences<span>1) for n=1, 10= 5*1(1+1)=5*2=10, it is just
2) assume that the equation </span>10 + 30 + 60 + ... + 10n = 5n(n + 1) is true, <span>for all positive integers n>=1
</span>3) let's show that the equation<span> is also true for n+1, n>=1
</span><span>10 + 30 + 60 + ... + 10(n+1) = 5(n+1)(n + 2)
</span>let be N=n+1, N is integer because of n+1, so we have
<span>10 + 30 + 60 + ... + 10N = 5N(N+1), it is true according 2)
</span>so the equation<span> is also true for n+1, 
</span>finally, 10 + 30 + 60 + ... + 10n = 5n(n + 1) is always true for all positive integers n.
<span>
</span>
4 0
3 years ago
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