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Nitella [24]
3 years ago
12

Find the distance between the two points rounding to the nearest tenth (if necessary).

Mathematics
1 answer:
vovangra [49]3 years ago
7 0

Answer: 10.3

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 answer quickly!!!
Ivenika [448]

Answer:

3.5 min

Step-by-step explanation:

5 0
3 years ago
A bed is 6 1/2 feet long.the material to make a sheet for the bed is to be 1 1/2 times as long to allow for hems and tucking und
Svetllana [295]
Answer:  9 3/4 feet long

Explanation:

1 1/2 x 6 1/2 = 3/2 x 13/2 = 39/4 = 9 3/4 feet long
4 0
3 years ago
I got 7 but I’m confused
Alja [10]

Answer:

27

Step-by-step explanation:

3v+6=5v-8

3v+14=5v

14=2v

v=7

3*7+6

21+6

27

u were right on 7 u just need to plug it into the equation

5 0
3 years ago
Tim mowed lawns for 2 hours and earned $7.50 per hour. Then he washed windows for 4 hours and earned $6.30 per hour. What were T
anastassius [24]

Answer: $6.90

Step-by-step explanation:

6 0
3 years ago
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