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3 years ago

Find the difference between the points to the nearest tenth. A(0,3), B(0,12)

Mathematics

1 answer:

Karolina [17]3 years ago

5 0

Answer:

9 units

Step-by-step explanation:

Distance, not difference. :)

Because these two points have the same x-coordinate, 0, the line segment connecting them is part of a vertical line. To find the disance between these points, we merely subtract the y-coordinates: 12 - 3 = 9.

That distance is 9 units.

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Sebastian said that if a number is a perfect square. then the number is even. Provide two examples that show that the statement

BaLLatris [955]

<h3><u>Answer:</u></h3>

Below!

<h3><u>Step-by-step explanation:</u></h3>

<u>You can take 25 as one example and 49 as the second example.</u>

Let's factorize.

=> 25 = 5 x 5 = 5² (Which is odd)
=> 49 = 7 x 7 = 7² (Which is odd)

<h3><u>Conclusion:</u></h3>

Hence, the statement is not true.

Hoped this helped.

3 0

2 years ago

Solve each quadratic equation by completing the square. 6. x2 + 2x = 8 7. x2 - 6x = 16 8. x2 - 18x = 19 9. x2 + 3x = 3 10. x2 +

Andrei [34K]

Lets get started :)

These questions have asked us to solve by completing the square.
How do we? I have attached a picture, which will explain

6. x² + 2x = 8
→ b is the coefficient of x, which is 2
→ We take half of 2 and square it. Then, we add it to either side

x² + 2x $+ (\frac{2}{2} )^2 = 8 + ( \frac{2}{2})^2$
x² + 2x + 1 = 8 + 1
( x + 1 )( x + 1 ) = 9
( x + 1 )² = 9
$\sqrt{( x + 1 )^2} = \sqrt{9}$
x + 1 = + 3 or x + 1 = - 3
x = 2 or x = - 4

7. x² - 6x = 16

→ We do the same thing we did in the previous question

x² - 6x + $(\frac{6}{2})^2 = 16 + (\frac{6}{2})^2$
x² - 6x + 9 = 16 + 9
(x - 3)² = 25
$\sqrt{(x-3)^2} = \sqrt{25}$
x - 3 = + 5 or x - 3 = - 5
x = 8 or x = - 2

8. x² - 18x = 19

x² - 18x + $( \frac{18}{2} )^2 = 19 + ( \frac{18}{2})^2$
x² - 18x + 81 = 19 + 81
( x - 9 )( x - 9 ) = 100
( x - 9 )² = 100
$\sqrt{(x-9)^2} = \sqrt{100}$
x - 9 = + 10 or x - 9 = -10
x = 19 or x = - 1

9. x² + 3x = 3

x² + 3x + $( \frac{3}{2} )^2 = 3 + (\frac{3}{2} )$
$x^2 + 3x + \frac{9}{4} = 3 + \frac{9}{4}$
$x^{2} + 3x + \frac{9}{4} = \frac{21}{4}$
$(x^2 + \frac{3}{2} ) ( x^2 + \frac{3}{2} ) = \frac{21}{4}$
$( x^2 + \frac{3}{2} )^2 = \frac{21}{4}$
$\sqrt{ x^2 + \frac{3}{2} } = \sqrt{ \frac{21}{4} }$
x + $\frac{3}{2}$ = + $\frac{ \sqrt{21} }{2}$ or x + $\frac{3}{2} = - \frac{ \sqrt{21} }{2}$
x = $\frac{-3+ \sqrt{21} }{2}$ or x = $\frac{-3 - \sqrt{21}}{2}$

7 0

4 years ago

What is the approximate value of y − x?

belka [17]

The value is equal to 12

7 0

3 years ago

The question is in the image please help

Lunna [17]

Answer:

32 oz for $3.00

Step-by-step explanation:

1.25/12 = 0.10416666

1.65/16 = 0.103125

3/20 = 0.15

3/32 = 0.09375

3 0

3 years ago

The theoretical probability of spinning a 9 is 1-6 spinner

defon

0% because there is no 9 on a 1-6 spinner

4 0

3 years ago