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masha68 [24]
3 years ago
12

What's 10 3/4 - 7 1/4?

Mathematics
1 answer:
leva [86]3 years ago
5 0
10  \frac{3}{4} - 7 \frac{1}{4} \\ \\   \frac{10 \times 4 + 3}{4} -7 \frac{1}{4} \\ \\  \frac{43}{4} - y \frac{1}{4} \\ \\  \frac{43}{4} -  \frac{7 \times 4 + 1}{4} \\ \\  \frac{43}{4} -  \frac{29}{4} \\ \\  \frac{43-29}{4} \\ \\  \frac{14}{4} \\ \\  \frac{7}{2} \\ \\ 3 \frac{1}{2} \\ \\ Answer: \fbox {3 \ 1/2} \ or \ \fbox {3.5}
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Point B is a point of tangency. Find the radius r of OC.<br> А 9<br> B<br> r<br> n
insens350 [35]

Answer:

Radius, r, is 3.75

Step-by-step explanation:

From the given diagram,

AB = 9

AC = 6 + r

BC = r

Thus applying the Pythagoras theorem, we have;

/AC/^{2} = /AB/^{2} + /BC/^{2}

(6 + r)^{2} = 9^{2} + r^{2}

36 + 12r + r^{2} = 81 + r^{2}

collecting like terms,

12r = 81 - 36

12r = 45

r = \frac{25}{12}

   = 3.75

r = 3.75

The radius is 3.75.

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2 years ago
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Karolina [17]
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3 years ago
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The value of X2 + 6x + 9 for x =4 is​
klasskru [66]

Answer:

41

Step-by-step explanation:

putting x into the eqn

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3 years ago
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What is an equation of the line that passes through the point (3,6)(3,6) and is parallel to the line 4x-3y=214x−3y=21?
polet [3.4K]

<em><u>Question:</u></em>

What is an equation of the line that passes through the point (3,6) and is parallel to the line 4x-3y=21

<em><u>Answer:</u></em>

<em><u>The equation of the line that passes through the point (3,6) and is parallel to the line 4x-3y=21 is:</u></em>

y = \frac{4}{3}x + 2

<em><u>Solution:</u></em>

Given that line passes through the point (3,6) and is parallel to the line 4x-3y=21

<em><u>The equation of line in slope intercept form is given as:</u></em>

y = mx + c ------- eqn 1

Where, "m" is the slope and "c" is the y intercept

<em><u>Given equation is:</u></em>

4x - 3y = 21

Rearrange,

3y = 4x - 21

y = \frac{4}{3}x - \frac{21}{3}\\\\y = \frac{4}{3}x - 7

On comparing above equation with eqn 1,

m = \frac{4}{3}

We know that slopes of parallel lines are same

Therefore, slope of line parallel to the line 4x - 3y = 21 is 4/3

<em><u>Substitute m = 4/3 and (x, y) = (3, 6) in eqn 1</u></em>

6 = \frac{4}{3} \times 3 + c\\\\6 = 4 + c\\\\c = 2

<em><u>Substitute c = 2 and m = 4/3 in eqn 1</u></em>

y = \frac{4}{3}x + 2

Thus the equation of line is found

4 0
3 years ago
Solve (10b+7b^2-6b^3)-(12b^2-3b^3)
MrRa [10]

Answer:

-3b³ - 5b² + 10b

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Distributive Property

<u>Algebra I</u>

  • Combining Like Terms

Step-by-step explanation:

<u>Step 1: Define Expression</u>

(10b + 7b² - 6b³) - (12b² - 3b³)

<u>Step 2: Simplify</u>

  1. Distribute negative:                   10b + 7b² - 6b³ - 12b² + 3b³
  2. Combine like terms (b³):            -3b³ + 10b + 7b² - 12b²
  3. Combine like terms (b²):            -3b³ - 5b² + 10b
3 0
3 years ago
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