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2 years ago

6

9. A line passes through (2, –1) and (8, 4). a. Write an equation for the line in point-slope form. b. Rewrite the equation in s

tandard form using integers.

1 answer:

babunello [35]2 years ago

8 0

Answer:

Step-by-step explanation:

(4+1)/(8-2)= 5/6

y + 1 = 5/6(x - 2)

y + 1 = 5/6x - 5/3

y + 3/3 = 5/6x - 5/3

y = 5/6x - 8/3

6(y = 5/6x - 8/3)

6y = 5x - 16

-5x + 6y = -16

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Pls explain how you figured out both questions

Mariana [72]

Answer:

A=0.125

B=0.125

Step-by-step explanation

for both you would divide 0.5 by 4. you would cut 0.125 off of each side, but two sides together would 0.25

6 0

3 years ago

What are the solutions to the equation

frosja888 [35]

Answer:

C.

$x_1=\frac{1}{4}+(\frac{\sqrt{7}}{4})i$ and $x_2=\frac{1}{4}-(\frac{\sqrt{7} }{4})i$

Step-by-step explanation:

You have the quadratic function $2x^2-x+1=0$ to find the solutions for this equation we are going to use Bhaskara's Formula.

For the quadratic functions $ax^2+bx+c=0$ with $a\neq 0$ the Bhaskara's Formula is:

$x_1=\frac{-b+\sqrt{b^2-4.a.c} }{2.a}$

$x_2=\frac{-b-\sqrt{b^2-4.a.c} }{2.a}$

It usually has two solutions.

Then we have $2x^2-x+1=0$ where a=2, b=-1 and c=1. Applying the formula:

$x_1=\frac{-b+\sqrt{b^2-4.a.c} }{2.a}\\\\x_1=\frac{-(-1)+\sqrt{(-1)^2-4.2.1} }{2.2}\\\\x_1=\frac{1+\sqrt{1-8} }{4}\\\\x_1=\frac{1+\sqrt{-7} }{4}\\\\x_1=\frac{1+\sqrt{(-1).7} }{4}\\x_1=\frac{1+\sqrt{-1}.\sqrt{7}}{4}$

Observation: $\sqrt{-1}=i$

$x_1=\frac{1+\sqrt{-1}.\sqrt{7}}{4}\\\\x_1=\frac{1+i.\sqrt{7}}{4}\\\\x_1=\frac{1}{4}+(\frac{\sqrt{7}}{4})i$

And,

$x_2=\frac{-b-\sqrt{b^2-4.a.c} }{2.a}\\\\x_2=\frac{-(-1)-\sqrt{(-1)^2-4.2.1} }{2.2}\\\\x_2=\frac{1-i.\sqrt{7} }{4}\\\\x_2=\frac{1}{4}-(\frac{\sqrt{7}}{4})i$

Then the correct answer is option C.

$x_1=\frac{1}{4}+(\frac{\sqrt{7}}{4})i$ and $x_2=\frac{1}{4}-(\frac{\sqrt{7} }{4})i$

3 0

2 years ago

3 10 / 24 + 6 3 /6 =

artcher [175]

Well first we need to make our fractions have a common denominator. Since 24 is the higher one we will turn 6 into 24. In order to do that we have to multiply our top number and bottom number by 4. 4x6=24 and 3x4=12 therefore our new fraction is 12/24. Now add 6 and 3 which is 9. After adding 6 and 3 we add our fractions. Adding fractions is kind of odd because you only add the top numbers. So, we add 10 and 12 to get 22. Our final step is figuring out if we can simplify the fraction which in this care we can! So, in order to simplify this fraction we divide by 2 which will then make our fraction 11/12 which can not be simplified. So your final answer would be 9 and 11/12. Hope this helps! :)

6 0

3 years ago

A (4 cm x 14 cm x 158 cm) bar of aluminum is 8848 cubic centimeters (cm'). Calculate its weighpean

shtirl [24]

Answer:f7koqsgrjkspaozisx

Step-by-step explanation:

6 0

3 years ago

Marcus is playing dodge ball with some of hi friends during recess. He catches 2 out of every 5 balls that are thrown in his dir

Charra [1.4K]

If he catches 2 out of 5, that mean he catches 14 out of x. We multiply 2 by 7 to get 14, so we multiply 7 by 5 to get 35. 35 balls were thrown at him. To check your work you can simply simplify 14/35 to get 2 out of 5 again. Hope this helps!

5 0

3 years ago