Find the distance between the points (-4, 6) and (-1,5).

HELP ME PLEASEEEEEEEEE

DIA [1.3K]

Answer:

x=24

Step-by-step explanation:

Hope this helps

6 0

3 years ago

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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

3 years ago

Hey Guys...I need help again... Which graph represents a proportional relationship?

sukhopar [10]

Answer:

A

Step-by-step explanation:

For a graph to be representative of a proportional relationship, it must meet the following criteria:

1) It is a straight line.

2) It passes through the origin point (0,0).

3) It is neither horizontal nor vertical*.

We can see that D is not a line. So, D is not a proportional relationship.

We can also see that B and C are vertical and horizontal, respectively. They also do not cross the origin.

The only choice that is a straight line and also crosses through the origin point is A.

So, our answer is A.

And we're done!

*Note: Vertical lines are not proportional because they are not a function.

Horizontal lines are not proportional because they has a constant of proportionality of 0, which can't be the case.

8 0

3 years ago

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Find the slope and reduce.<br> P=(-8, 3) Q=(-6, 2)

shutvik [7]

Answer: -1/2

Step-by-step explanation:

Slope is change in y over change in x. Y shifts down -1, while X shifts to the right 2

4 0

3 years ago

A rectangle has an area of 126 m2 and a width of 7 m. What is its length?

Lorico [155]

126 divided by 7 equals 18

18 m

8 0

3 years ago

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