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Alexandra [31]
4 years ago
5

Need help with this Pythagorean theorem formula. In a right triangle ,find the length not given? c=hypotenuse, a=6,b=8. use radi

cals as needed
Mathematics
1 answer:
alisha [4.7K]4 years ago
6 0

Answer: c = 10

Step-by-step explanation:

Pythagorean Theorem states that in a right triangle a^2 + b^2 = c^2, where a and b  are the legs of the triangle and c is the hypotenuse.  Thus, because a=6 and b=8, 36+64=c².  Thus 100=c².  Thus 10=c

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The slope of a line is 12 and the point (1, 10) is on the line. Express the line in slope-intercept form.
laila [671]

Answer:

y=12x-2

Step-by-step explanation:

(y-10)=12(x-1)

y-10=12x-12

y=12x-2

4 0
3 years ago
Which are the x-intercept and y-intercept of the line drawn through the points A and B?
ladessa [460]
First you have to figure out what the equation of the line is. Let's use the slope formula to find the slope, and then one of the points to find the y-intercept. We'll put the line's equation in y=mx+b form.

slope =  \frac{ y_{2} -  y_{1}  }{ x_{2} - x_{1}  } \\ slope = m \\ m =  \frac{5 - 1}{-7 - 1} \\ m =  \frac{4}{-8} \\ m = - \frac{1}{2}

Now, we'll use that slope in y=mx+b form with one of the coordinates in order to find what b (which is also the y-intercept) equals
y = - \frac{1}{2}x + b \\ 1 = 1(- \frac{1}{2}) + b \\ 1 = - \frac{1}{2} + b \\ 1 \frac{1}{2} = b

therefore your y-intercept is equal to 1.5. In order to find the x-intercept we'll take our new equation y = - \frac{1}{2} + 1 \frac{1}{2} and make y = 0, because the line intersects with the x-axis when y is equal to zero.

y = - \frac{1}{2}x + 1 \frac{1}{2} \\ 0 = - \frac{1}{2}x + 1 \frac{1}{2} \\ -1 \frac{1}{2} = - \frac{1}{2}x \\ x =  3

therefore, your x-intercept is 3 and your y-intercept is 1.5
6 0
3 years ago
Circle A is intersected by lines LM and MO. What is the measure of angle LMO?
dusya [7]
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3 0
4 years ago
If x=3 and y=2 then find the value of 2x²-xy+y²-4x​
olya-2409 [2.1K]

Answer:

-2x²-xy+y²

Step-by-step explanation:

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3 0
3 years ago
Read 2 more answers
Centroid: Find AD if HD=24.
astraxan [27]
Centroid is commonly used with a triangle. It is the average of the lines presented in the triangle. So in this situtation the Centroid is 24. the reason is because the line segment is 24, so we do 24/1. The 1 is for how many lines there is, which is one.
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3 years ago
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