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Mamont248 [21]
3 years ago
15

The hypotenuse of a right triangle is twice the length of one of its legs. The length of the other leg is three feet. Find the l

engths of the three sides of the triangle. Enter an exact answer. Do not type your answers as fractions or decimals
Mathematics
2 answers:
maw [93]3 years ago
8 0

Answer:

sides are √3 ft,2√3 ft,3 ft

Step-by-step explanation:

let one leg=x

length of hypotenuse=2x

third side=3 ft

(2x)²=x²+3²

4x²-x²=9

3x²=9

x²=9/3=3

x=√3 ft

hypotenuse=2√3 ft

dolphi86 [110]3 years ago
7 0

Answer:

One leg: 3

So, the hypo: 2*3 = 6

And the third is according to the formula for right angle triangles: a^2 + b^ = c^2

So: √9+36= c

6.7 to get an exact number round it: 7

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What is the equation of this graphed line?
barxatty [35]

Answer:

y=-\frac{1}{3}x-5

Step-by-step explanation:

Given:

The two points on the line are:

(x_1,y_1)=(-6,-3)\\(x_2,y_2)=(6,-7)

Now, for a line with two points on it, the slope of the line is given as:

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

For the points (x_1,y_1)=(-6,-3)\ and\ (x_2,y_2)=(6,-7), slope is:

m=\frac{-7-(-3)}{6-(-6)}\\m=\frac{-7+3}{6+6}\\m=\frac{-4}{12}=-\frac{1}{3}

Now, for a line with slope 'm' and a point (x_1,y_1) on it is given as:

y-y_1=m(x-x_1)

Plug in all the values and determine the equation of the line. This gives,

y-(-3)=-\frac{1}{3}(x-(-6))\\\\y+3=-\frac{1}{3}(x+6)\\\\y+3=-\frac{1}{3}x-\frac{1}{3}\times 6\\\\y+3=-\frac{1}{3}x-2\\\\y=-\frac{1}{3}x-2-3\\\\y=-\frac{1}{3}x-5

Therefore, the equation of the line is:

y=-\frac{1}{3}x-5

4 0
3 years ago
What is the equation in point slope form of the line that passes through the point (−1, −3) and has a slope of 4?
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Answer:

(y-(-3))=4(x-(-1))

Step-by-step explanation:

formula for point slope form is:

y-y1=m(x-x1)

just plug in numbers from the point (-1, -3) for x1 and y1. The slope 4, would plug into m.

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3 years ago
What is the best approximation of the solutions to the system to the nearest integer values?
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The second number is the distance along the y-axis (i.e.distance from the x-axis).  We can read 6.7 from the graph.

So approximately, we have the point as (0.8, 6.7).
Round the numbers to the nearest integer and you'll get the required answer choice.
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3 years ago
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