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Luba_88 [7]
3 years ago
9

Does 28,53,45 make a right triangle

Mathematics
1 answer:
Arada [10]3 years ago
7 0

Answer:

yesh it does

Step-by-step explanation:

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Write a quadratic equation with the given roots. Write the equation in the form of ax^2+bx+c=0 where a b and c are integers
Bas_tet [7]

You haven't provided the required roots, but I can tell you how to do this kind of exercises in general.

If the x^2 coefficient is 1, i.e. the equation is written like x^2+bx+c=0, then you can say the following about the coefficients b and c:

  • b is the opposite of the sum of the roots
  • c is the multiplication of the roots.

So, for example, if we want an equation whose roots are 4 and -2, we have:

  • 4+(-2) = 4-2 = 2 \implies b = -2
  • 4 \cdot (-2) = -8 \implies c = -8

So, the equation is x^2-2x-8=0

If your roots are rational, you can work like this: suppose you want an equation with roots 3/4 and 1/2. You have:

  • \dfrac{3}{4}+\dfrac{1}{2} = \dfrac{3}{4}+\dfrac{2}{4} = \dfrac{5}{4} \implies b = -\dfrac{5}{4}
  • \dfrac{3}{4} \cdot \dfrac{1}{2} = \dfrac{3}{8} \implies c = \dfrac{3}{8}

And so the equation is

x^2 - \dfrac{5}{4} + \dfrac{3}{8} = 0

In order to have integer coefficients, you can multiply both sides of the equation by 8:

8x^2 - 10 + 3 = 0

5 0
3 years ago
PLEASE HELP! I will give you the brainiest and A LOT of points! (Ch.5.3)
JulsSmile [24]

Step-by-step explanation:

Total distance covered=distance covered by walking+distance covered by jogging

=6/7+4/5=30+28/35

=58/35miles

How much farther did you walk than jog

=6/7-4/5

=30-28/35

=2/35miles

3 0
2 years ago
A motorboat maintained a constant speed of 28 miles per hour relative to the water in going 45 miles upstream and then returning
Sveta_85 [38]
The speed of the current is 7 miles per
hour.
Step-by-step explanation:
Let × represent speed of the current.
We have been given that a motorboat
maintained a constant speed of 11 miles per
hour relative to the water in going 18 miles
upstream and then returning.
The speed of motorboat while going
upstream would be 11
The speed of motorboat while going
downstream would be 11 + 2
Time
Distance
Speed
3 0
1 year ago
Bryce has a rug that is 14 decimeters by 16 decimeters. Draw a sketch of Bryce'srug. Then find the area of his rug. Show your wo
yuradex [85]

Answer:

the answer is 224 decimeters

Step-by-step explanation:

first you need to draw a box than label the length and with which is 14 by 16 and then you can use the formula A=L*W. Know you can plug the numbers in 14*16 which equals 224 and that would be your answer

4 0
3 years ago
Write the slope intercept form of the equation of the line through the given points
garri49 [273]

Answer:

9) y = -3x - 4

10) y = -1/3x + 14/3

11) y = x - 1

12) y = -7/5x - 18/5

13) y = 3/5x + 9/5

14) y = -2x - 3

Step-by-step explanation:

For this explanation, let's use the last problem as the example. You would use the formula y=mx+b. The first thing you would need to find would be the slope, or m. So, you would find the slope and conclude the answer is -2. After that, you would solve for b and get the answer. Hope this helped!

4 0
3 years ago
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