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11111nata11111 [884]
2 years ago
8

If x² + xy = 62, y2 + xy = 82 then find

Mathematics
1 answer:
ad-work [718]2 years ago
5 0
<h2>answer;</h2><h2>B) 12</h2>

<h2>_________</h2><h2><em>explanation</em><em>:</em><em>:</em><em>:</em></h2>

after adding both equation

we \: get..

<h2> {x}^{2} + xy + {y}^{2} + xy = 62 + 82 </h2><h2> x^2 + y^2 + 2xy = 144 </h2><h2> (x + y)^2 = 144 </h2><h2>(x + y) = sqrt{144} </h2><h2> x + y = 12</h2>

<h2><em>it</em><em> </em><em>may</em><em> </em><em>be</em><em> </em><em>helpful</em><em> </em><em>for</em><em> </em><em>u</em></h2><h2><em>-</em><em>-</em><em>-</em><em>-</em><em>-</em><em>-</em><em>-</em><em>-</em><em>-</em><em>-</em><em>-</em><em>-</em><em>❤</em><em>❤</em><em>❤</em><em>-</em><em>-</em><em>-</em><em>-</em><em>-</em><em>-</em><em>-</em><em>-</em><em>-</em><em>-</em><em>-</em><em>-</em><em>-</em></h2><h2><u><em>plzzz</em><em> </em><em>mar</em><em> </em><em>it</em><em> </em><em>as</em><em> </em><em>a</em><em> </em><em>brilliant</em><em> </em><em>ans</em></u></h2>
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Need help on 9 don’t know if I did it right or not but I need help :p
solmaris [256]

Answer:

9b) -8 = y

9a) 72° = <em>m</em>∠<em>ABC</em>

Step-by-step explanation:

Since you have an angle trisector, in this case, <em>m</em>∠<em>CBE</em><em> </em>≅ <em>m</em>∠<em>DBA,</em><em> </em>therefore you <em>set</em><em> </em><em>x</em><em> </em>equal to 8, plus, according to Morley's Trisector Theorem, all three angles form an equilateral triangle, so <em>m</em>∠<em>BOC</em><em> </em>also has to equal 24°:

{8}^{2}  - 5(8) = 64 - 40 = 24 \\  \\ 6(8) - 24 = 48 - 24 = 24 \\  \\ 2(8) - y = 24 >> 16 - y = 24 >>  -8 = y

Then, <em>m</em>∠<em>ABC</em><em> </em>comes from multiplying 3 by 24 [three <em>twenty-</em><em>four</em>'s], which results in 72°.

I am joyous to assist you anytime.

4 0
3 years ago
Haala buys 13 identical shirts and 22 identical ties for 363.01.. The cost of a shirt is 15.35. Find the cost of a tie
AlladinOne [14]

Answer:

EACH TIE COSTS 7.43

Step-by-step explanation:

If 13.35x13=173.55 then that means the ties total is 189.46 now devide that by 22 it equals 13.35

4 0
3 years ago
The circumference of a circle is just ?
Juliette [100K]

Answer:

The formula is  C = πd

π = pie

d= diameter

C =circumference

7 0
2 years ago
Read 2 more answers
A psychologist obtains a random sample of 2020 mothers in the first trimester of their pregnancy. The mothers are asked to play
leva [86]

Answer:

First of all, we need to determine the system of hypothesis, which must have a null and alternative hypothesis.

In all hypothesis proof procedure, we must work with the null one, rejecting it or accepting it. If we reject the null hypothesis, it will mean that our principal hypothesis is true.

According to the problem, the null hypothesis must be: H_{o} : u = 100; because it says that 100 is the normal mean that is used.

The alternative hypothesis must be: H_{a} : u > 100; because the question is asking if there's enough evidence to say that they children have a higher IQ than 100.

Then, we must calculate the P-value, which is the probability value that we are gonna use to accept or reject the null hypothesis. This P-value we can calculate it with the formula: Z=\frac{x-u}{\frac{o}{\sqrt{n} } }; where x is the sample mean, u is the hypothetical mean parameter, o is the sample deviation and n is the sample.

Extracting all values from the problem: x = 104.3; u = 100; o = 14 and n = 20.

Applying all values to the formula: Z=\frac{104.3 - 100}{\frac{14}{\sqrt{20} } } = \frac{4.3}{\frac{14}{ 4.5} }=\frac{4.3}{3.1}=1.4

Then, this Z-value will give us the P-value by using the Z-table with the 0.05 level of significance. In table attached, we can see that the result is 0.9265. However, the P-value is 1 - 0.9265 = 0.735. We need to do this subtraction because, the result 0.9265 belong to the bigger area (as it's shown is the image in blue colour), and we need the smaller area, which belong to the 0.05 level of significance.

<em>In this problems, if the P-value is more than the level of significance, the null hypothesis is accepted. If the P-value is less than the level of significance the null hypothesis is rejected.</em>

Therefore, there is no enough evidence to say that the sample children have higher IQs, because the P-value is higher than the level of significance. (0.735>0.05).

5 0
3 years ago
An arc of length 15ft subtends a central angle 0 in a circle of radios 9ft. Find measure of 0 in degrees
Kisachek [45]

Answer:

95.49°

Step-by-step explanation:

The arc length formula is s = rФ, where r is the radius and Ф is the central angle in radians.  Here, r = 9 ft and s = 15 ft.  Thus, the central angle Ф is

Ф = (15 ft) / (9 ft) = 5/3 radians, or

5 rad       180°

------- * ---------- = 95.49°

      3       π rad

6 0
3 years ago
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