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3 years ago

Question 3

Mathematics

1 answer:

nevsk [136]3 years ago

7 0

B is your correct answer

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Find the coordinates of the midpoint of (x,y) for A(9,1) and B(3,7)

tekilochka [14]

9514 1404 393

Answer:

(6, 4)

Step-by-step explanation:

The midpoint is found as the average of the coordinates of the end points.

M = (A +B)/2

M = ((9, 1) +(3, 7))/2 = (9+3, 1+7)/2 = (12, 8)/2

M = (6, 4)

The midpoint of segment AB is (x, y) = (6, 4).

5 0

3 years ago

Write in simplest form:<br> <img src="https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B24a%5E%7B10%7Db%5E%7B6%7D%7D" id="TexFormula1" ti

Charra [1.4K]

Answer:

$2a^3b^2\sqrt[3]{3a}$

Step-by-step explanation:

Use the following rules for exponents:

$a^m*a^n=a^{m+n}\\\\\sqrt[3]{x^3}=x$

Simplify 24. Find two factors of 24, one of which should be a perfect cube:

$8*3=24\\\\2^3=8$

Insert:

$\sqrt[3]{2^3*3a^{10}b^6}$

Now split the exponents. Split 10 into as many 3's as possible:

$10=3+3+3+1$

Insert as exponents:

$\sqrt[3]{2^3*3*a^3*a^3*a^3*a^1*b^6}$

Split 6 into as many 3's as possible:

$6=3+3$

Insert as exponents:

$\sqrt[3]{2^3*3*a^3*a^3*a^3*a^1*b^3*b^3}$

Now simplify. Any terms with an exponent of 3 will be moved out of the radical (rule #2):

$2\sqrt[3]{3*a^3*a^3*a^3*a^1*b^3*b^3}\\\\\\2*a*a*a\sqrt[3]{3*a^1*b^3*b^3}\\\\\\2*a*a*a*b*b\sqrt[3]{3*a^1}$

Simplify:

$2a^3b^2\sqrt[3]{3a}$

:Done

6 0

3 years ago

What are the factors of 9a-3

yulyashka [42]

Answer:

9, -3

Step-by-step explanation:

7 0

3 years ago

suppose there is a 1.1 degree F drop in temperature every thousand feet that an airplane climbs into the sky. if the temp on the

Aleks04 [339]

For this case, the first thing we must do is define variables.

We have then:

x: altitude of the plane in feet

y: final temperature

The equation modeling the problem for this case is given by:

$y = - \frac{1.1}{1000} x + 59.7$

Thus, evaluating the function for x = 11,000 ft. Height we have:

$y = - \frac{1.1}{1000} (11000) +59.7$

$y = 47.6$

Answer:

the temperature at an altitude of 11,000 ft is 47.6 F

4 0

3 years ago

Read 2 more answers

Simplify -6 1/4 - (-2 1/8)

Inessa05 [86]

-33/8 or -4 1/8
Hope this helps!

3 0

3 years ago