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Rom4ik [11]
3 years ago
13

Determine whether the claims are true or false​

Mathematics
1 answer:
Fed [463]3 years ago
8 0

Answer:

true then false is the anwer

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Find all points on the x-axis that are 14 units from the point (4, -7).
BaLLatris [955]

Answer:

The points are: (16.12,0),(-8.12,0).

Step-by-step explanation:

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

ax^{2} + bx + c, a\neq0.

This polynomial has roots x_{1}, x_{2} such that ax^{2} + bx + c = a(x - x_{1})*(x - x_{2}), given by the following formulas:

x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}

x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}

\bigtriangleup = b^{2} - 4ac

Distance between two points:

Suppose we have two points, (x_1,y_1) and (x_2,y_2). The distance between them is given by:

D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Find all points on the x-axis that are 14 units from the point (4, -7).

Being on the x-axis mean that they have y-coordinate equal to 0, so the point is (x,0).

The distance is 14. So

\sqrt{(x-4)^2+(0-(-7))^2} = 14

\sqrt{x^2 - 8x + 16 + 49} = 14

\sqrt{x^2 - 8x + 65} = 14

(\sqrt{x^2 - 8x + 65})^2 = 14^2

x^2 - 8x + 65 - 196 = 0

x^2 - 8x - 131 = 0

So a = 1, b = -8, c = -131

\bigtriangleup = (-8)^{2} - 4(1)(-131) = 588

x_{1} = \frac{-(-8) + \sqrt{588}}{2} = 16.12

x_{1} = \frac{-(-8) - \sqrt{588}}{2} = -8.12

The points are: (16.12,0),(-8.12,0).

4 0
2 years ago
What is the value of 5 Z when Z is equal to 2
REY [17]

Answer:

10?

Step-by-step explanation:

5 times Z= 5x 2= 10

3 0
3 years ago
The first side of a triangle is 3 m shorter than the second side. The third side is 4 times as long as the first side. The perim
arsen [322]
I would have to say 2.3 but i dont know the real answer thats what i calculated

8 0
3 years ago
Susie is 5 feet and 6inches tall what would her height be in centimeters 1foot 12inches 1inch 2.54 centimeters
Novay_Z [31]

Answer:

6

Step-by-step explanation:

your answer would be approximately 6.604 but if you look at the first number it is the number 6 and you can see that it is one of your answer choices.

7 0
2 years ago
How to solve scientific notation numbers
Luba_88 [7]

Look at the exponent and move the decimal that many places ( to the right for a positive number and to the left for a negative number)

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