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Sever21 [200]
3 years ago
9

Find the midpoint of the line segment joining the points ​(−1​,−2​) and ​(−3​,9​).

Mathematics
1 answer:
FromTheMoon [43]3 years ago
5 0

Answer:

Step-by-step explanation:

Midpoint  =  (x₁+ x₂)/2 , (y₁ +y₂)/2

 =   [(-1)+(-3))/2] , (-2 + 9)/2

 =   (-4/2) , (-7/2)

 =   (-2 , -3.5)

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Ulleksa [173]
24 is the correct answer because the question is about triangle similarity so if you divide 15 by 3 then you get 5 which is the base of the smaller triangle.
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3 years ago
The point P = (x, - 2/7) lies on the unit circle shown below. What is the value of x in simplest form?
miskamm [114]

Answer: x = \frac{3\sqrt{5}}{7}\\\\

Explanation:

The equation of the unit circle is x^2+y^2 = 1\\\\

Plug in y = -2/7 and solve for x

x^2+y^2 = 1\\\\x^2+\left(-\frac{2}{7}\right) = 1\\\\x^2+\frac{4}{49} = 1\\\\x^2 = 1-\frac{4}{49}\\\\x^2 = \frac{49}{49}-\frac{4}{49}\\\\x^2 = \frac{45}{49}\\\\x = \sqrt{\frac{45}{49}} \ \ \text{ ... x is positive}\\\\x = \frac{\sqrt{45}}{\sqrt{49}}\\\\x = \frac{\sqrt{9*5}}{7}\\\\x = \frac{\sqrt{9}*\sqrt{5}}{7}\\\\x = \frac{3\sqrt{5}}{7}\\\\

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2 years ago
3s+6≤-5(s+2)
dybincka [34]

Your answer for the first inequality is D) s less than or equal to -2

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3 0
3 years ago
A new Youth Sports Center is being built in Hadleyville. The perimeter of the rectangular playing field is 536  yards. The lengt
Aleksandr [31]

Answer:

W = 58 yards, L = 210 yards

Step-by-step explanation:

P = 2 (L + W)

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P = 2 (4W - 22 + W)

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5 0
3 years ago
If a 12-student class averaged 90 on a test, and a 20-student class averaged 80 on the test, then all 32 students averaged
Alexxx [7]
Let the marks of the students in class 1 be

m_1, m_2, ....., m_1_2

the average of these 12 marks is 90, so 

\frac{m_1+ m_2+ .....+ m_1_2}{12}=90

which means

m_1+ m_2+ .....+ m_1_2=90*12=1080


similarly, let n_1, n_2, ....., n_2_0 be the marks of the students in the second class, 

so \frac{n_1+ n_2+ ..... n_2_0}{20}=80

which means n_1+ n_2+ ..... n_2_0=80*20=1600


The 32 students averaged:

\frac{(m_1+ m_2+ .....+ m_1_2)+(n_1+ n_2+ ..... n_2_0)}{12+20}= \frac{1080+1600}{32}= \frac{2680}{32}=   83.75
5 0
3 years ago
Read 2 more answers
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