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gulaghasi [49]
3 years ago
14

Find the length of the missing side

Mathematics
1 answer:
inn [45]3 years ago
7 0
<h3>Answer:  9</h3>

================================================

Work Shown:

a = unknown  = leg #1

b = 12  = leg #2

c = 15 = hypotenuse

Plug those values into the pythagorean theorem and solve for 'a'

a^2 + b^2 = c^2

a^2 + (12)^2 = (15)^2  .... substitution

a^2 + 144 = 225

a^2 = 225 - 144  ... subtracting 144 from both sides

a^2 = 81

a = sqrt(81)  .... applying square root to both sides

a = 9

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Which algebraic expression represents the word expression "three times the square of a number, n, subtracted from 54"?
sveta [45]

Answer:

54 - 3n²

Step-by-step explanation:

Square of a number n = n²

Three times the square of n = 3*n² = 3n²

Expression:

54 - 3n²

3 0
3 years ago
How many models does the following set have? 5,5,5,7,8,12,12,12,150,150,150
Strike441 [17]
<h3>Answer:  3 modes</h3>

The three modes are 5, 12, and 150 since they occur the most times and they tie one another in being the most frequent (each occurring 3 times).

Only the 7 and 8 occur once each, and aren't modes. Everything else is a mode. It's possible to have more than one mode and often we represent this as a set. So we'd say the mode is {5, 12, 150} where the order doesn't matter.

4 0
3 years ago
What is the equation of the line that is perpendicular to the given line and has an x-intercept of -3?
Anvisha [2.4K]

Answer:

y=-\frac{3}{2}x-\frac{9}{2}

Step-by-step explanation:

Let the equation of the perpendicular line is,

y = mx + b

where m = slope of the line

b = y-intercept

From the graph, slope of the line passing through (0, -1) and (3, 1),

m' = \frac{y_2-y_1}{x_2-x_1}

m' = \frac{1+1}{3-0}

m' = \frac{2}{3}

To get the slope (m) of this line we will use the property of perpendicular lines,

m × m' = (-1)

m × \frac{2}{3} = -1

m = -\frac{3}{2}

Equation of the perpendicular line will be,

y=-\frac{3}{2}x+b

x-intercept of the line is (-3) therefore, point on the line is (-3, 0)

0 = -\frac{3}{2}(-3)+b

b = -\frac{9}{2}=-4.5

Equation of the line will be,

y=-\frac{3}{2}x-\frac{9}{2}

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3 years ago
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allochka39001 [22]
The area of a circle with a Diameter of 10 is 78.54
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2 years ago
the length and width of a rectangular patio are (x+8) feet and (x+6) feet, respectively. If the area of the patio is 160 square
lorasvet [3.4K]
<span>(x + 8)  (x + 6) = 160
x² +6x +8x +48 = 160
</span>x² +6x +8x +48 - 160 =0
<span>x² +14x -112=0

You have to calculate the discriminant.

(Please mark be brainliest)

</span>
6 0
3 years ago
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