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2 years ago

Which set of numbers could represent the lengths of the sides of a right triangle?

Mathematics

1 answer:

Degger [83]2 years ago

8 0

Answer:

3,4,5

Step-by-step explanation:

Here, we want to select the set that could work and the sides of a right angled triangle

the correct answer is 3,4,5

These set are called a Pythagorean triple

This is because adding the square of the two smaller number will give the square of the largest number

What we are saying here is that by adding the square of 3 and 4, we get the square of 5 which illustrates that Pythagoras theorem works for the set

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Help me with this question plz. Write the slope intercept form of the equation of each line.

damaskus [11]

Answer:y=-4/3x+2

Step-by-step explanation:

You first figure out the slope by counting the rise and run which is -4/3 in this case and then you look at where it intercepts the y-axis and add it to the end of the equation.

8 0

3 years ago

Solve x2 − 10x = −13.

aev [14]

Answer:

Step-by-step explanation:

First, let's rearrange the given equation into something more recognizable. If we add 13 to both sides, we now have the polynomial $x^{2}-10x+13$ . We can now use the quadratic formula to solve.

Remember that the quadratic formula is

$\frac{-b+/-\sqrt{b^{2}-4ac } }{2a}$

Substitute the numbers from the equation into the formula.

$\frac{-(-10)+/-\sqrt{(-10)^{2}-4(1)(13) } }{2(1)}$

Simplify:

$\frac{10+/-\sqrt{100-52} }{2}$

$\frac{10+/-\sqrt{48} }{2}$

Here, I'm going to assume that there was a mistype in option B because if we divide out the 2 we end up with $5+/-\sqrt{48}$ .

Hope this helps!

6 0

2 years ago

The student council had a cupcake fundraiser. The cupcakes were donated, but the icing, plates and candy were purchased for $50.

Marizza181 [45]

1.50n - 50 = p

Explanation: 1.50n = profits from selling cupcakes. Subtract from cost to make cupcakes (50) to find profit.

7 0

3 years ago

If the endpoints of the diameter of a circle are (9, 4) and (5, 2), what is the standard form equation of the circle?

sattari [20]

The standard forrm equation of the circle is (x-h)² + (y-k)² = r²
where h,k : x,y-coordinate of the center
r : radius of the circle
Get the center of the circle : h = (x1 + x2)/2 = (9+5)/2 = 7
k = (y1 + y2)/2 = (4+2)/2 = 3
=> the center is (7,3)
Because the given information gave 2 endpoints so we can choose one of these, then use the distance formula to get the radius
r = √(x1 - h)² + (y1 - k)²
r = √(9 - 7)² + (4 - 3)²
r = √2² + 1²
r = √5
Finally, the equation of the circle is (x - 7)² + (y - 3)² = (√5)²
(x - 7)² + (y - 3)² = 5

4 0

3 years ago

5{-3.4k-7} + {3k+21}

lina2011 [118]

The answer is −14k−14. Hope this helps.

8 0

3 years ago