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Varvara68 [4.7K]
2 years ago
5

Don’t mind the writing. Just trying to see if this is right?

Mathematics
2 answers:
slamgirl [31]2 years ago
5 0
All correct! I learned this a couple years ago and still use it! Soo, I’ve had practice. It’s all correct! Great job! And btw, I hope you have a great day!
LuckyWell [14K]2 years ago
4 0

Answer:


Step-by-step explanation:

Yep you are 100% correct grate job!!

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What is the power of x? <br> A) 2 <br> B) 3 <br> C) 6 <br> D) 7
Thepotemich [5.8K]

Answer:

A

Step-by-step explanation:

They are basically wanting the value of x.

These are 2 secant lines drawn. Secant Line is a line that intersects the circle at 2 points.

To solve this, we have to use secant-secant theorem.

Secant-Secant Power Theorem tells us that if 2 secant lines are drawn from external point (here, E) to a circle, then, product of measure of one secant's external part and total secant is equal to other secants external part and whole secant.

In algebra, that is:

(x+1)(x+1+11)=(x+4)(x+4+1)

Let's multiply and find the value of x:

(x+1)(x+1+11)=(x+4)(x+4+1)\\(x+1)(x+12)=(x+4)(x+5)\\x^2 + 13x + 12=x^2+9x+20\\13x+12=9x+20\\13x - 9x = 20 - 12\\4x = 8\\x = 2

Hence, the correct answer choice is A

8 0
3 years ago
Use the drawing tool(s) to form the correct answer on the provided number line.
blagie [28]

Answer:

  see below

Step-by-step explanation:

Eric will drive between 70 -4 = 66 mph and 70+4 = 74 mph. He will <em>not</em> drive less than 66 or more than 74 mph.

5 0
3 years ago
Read 2 more answers
The sum of the reciprocals of two consecutive even integers is 7/24. Write an equation that can be used to find the two integers
sergejj [24]
Assume the first even integer is x.
The next even integer will be 2 digits after this digit. So the next even integer will be x+2.

The reciprocals of these two even integers can be written as \frac{1}{x} and \frac{1}{x+2} respectively.

The sum of their reciprocals is 7/24. So we can set up the equation as:

\frac{1}{x}+ \frac{1}{x+2}= \frac{7}{24}

Taking LCM on left hand side:

\frac{x+2+x}{x(x+2)}= \frac{7}{24} \\  \\ &#10; \frac{2x+2}{ x^{2} +2x}= \frac{7}{24}

Cross Multiplying the denominators:

24(2x+2)=7({ x^{2} +2x}) \\  \\ &#10;48x+48=7 x^{2} +14x \\  \\ &#10;7 x^{2} +14x-48x-48=0 \\  \\ &#10;7 x^{2} -34x-48=0 \\  \\ &#10;&#10;

Using the quadratic formula to solve the above equation:
7 x^{2} -34x-48=0 \\  \\ &#10;x= \frac{34+- \sqrt{1156+1344} }{14} \\  \\ &#10;x= \frac{34+- \sqrt{2500} }{14} \\  \\ &#10;x=\frac{34+-50 }{14} \\  \\ &#10;x=6 \\ x=- \frac{8}{7} &#10;

Since, the value of x can only be an integer, we discard the fractional value and keep x=6

So the first even integer is 6 and the next even integer is 8. The sum of reciprocals of 6 and 8 is 7/24

5 0
3 years ago
A stock has produced returns of 14.5 percent, 4.8 percent, 10.2 percent, and 6.1 percent over the past four years respectively.
Anettt [7]
<span>The geometric average return is the the nth root of the product of the stock returns. So we have nâš r1 * r2 * r3. Where n is the number of returns. So we have 4âš(14.5 * 4.8 * 10.2 * 6 1) This gives us 4âš ( 4330.512) The fourth root of 4330.512 is 8.1121 percent.</span>
3 0
3 years ago
Write the ratio in simplest form:<br> 36 to 78
Marysya12 [62]

Answer:

18 : 39

Step-by-step explanation:

36 to 78

Divide both sides by 2.

=> 18 : 39

8 0
2 years ago
Read 2 more answers
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