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3 years ago

9

Write an equation in slope intercept form of the line going through the points (6,2) and (8, -4)

1 answer:

Anna35 [415]3 years ago

8 0

Y=-3x+20 if you want explication ask

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Solve the following quadratic equation for all values of x in simplest form. (x-4)^2=33

Brrunno [24]

$\huge\text{$x=\boxed{\sqrt{33}+4,\ -\sqrt{33}+4}$}$

To solve for $x$ , we need to isolate it on one side of the equation.

Take the square root of both sides, making sure to use both positive and negative roots.

$\begin{aligned}(x-4)^2&=33\\x-4&=\pm\sqrt{33}\end{aligned}$

$\sqrt{33}$ cannot be simplified, so we'll leave it as-is.

Add $4$ to both sides to fully isolate $x$ .

$x=\pm\sqrt{33}+4$

Expand the solution by making two solutions, one where $\sqrt{33}$ is positive and one where it's negative.

$x=\sqrt{33}+4,\ x=-\sqrt{33}+4\\x=\boxed{\sqrt{33}+4,\ -\sqrt{33}+4}$

5 0

2 years ago

Read 2 more answers

There are 40 houses in a neighborhood.Company X provides electricity to 1/8 of the houses ,how many houses does Company X provid

Sedaia [141]

Answer:

5 houses

Step-by-step explanation:

40 × 1/8

40/8

5 houses

7 0

3 years ago

Marie, Shelia, and Martha bought snacks for a girl's sleepover. They each bought the items shown in the following table at the l

creativ13 [48]

Using a system of equations, it is found that the unit prices are:

$2.25 for a bag of chips.

$1.50 for a liter of pop.

$1.75 for a chocolate bar.

For the system:

x is the unit price of a bag of chips.

y is the unit price of liter of pop.

z is the unit price for a chocolate bar.

From the table, the equations are:

$2x + 2y + z = 9.25$

$3x + 4y + z = 14.50$

$x + 3y + 3z = 12$

Replacing the <u>first equation on the second and the third:</u>

$z = 9.25 - 2x - 2y$

$3x + 4y + z = 14.50$

$3x + 4y + 9.25 - 2x - 2y = 14.50$

$x + 2y = 5.25$

$x = 5.25 - 2y$

$x + 3y + 3z = 12$

$x + 3y + 3(9.25 - 2x - 2y) = 12$

$-5x - 3y = -15.75$

$5x + 3y = 15.75$

Since $x = 5.25 - 2y$ :

$5(5.25 - 2y) + 3y = 15.75$

$-7y = -10.5$

$y = \frac{10.5}{7}$

$y = 1.5$

Then:

$x = 5.25 - 2y = 5.25 - 2(1.5) = 2.25$

$z = 9.25 - 2x - 2y = 9.25 - 2(2.25) - 2(1.5) = 1.75$

The unit prices are:

$2.25 for a bag of chips.

$1.50 for a liter of pop.

$1.75 for a chocolate bar.

A similar problem, also solved using a system of equations, is given at brainly.com/question/14183076

4 0

2 years ago

Divide the product of 6 and 5 by the quotient of 12 and 4<br> please show me the expression too...

ArbitrLikvidat [17]

Step-by-step explanation:

$\text{the product of 6 and 5:}\qquad6\cdot5=30\\\\\text{the quotient of 12 and 4:}\qquad12:4=3\\\\\text{Divide the product of 6 and 5 by the quotient of 12 and 4:}\\\\(6\cdot5):(12:4)=30:3=10$

3 0

3 years ago

Read 2 more answers

could someone help with the steps! In a survey conducted in an office, 60% of the sample respondents agreed that employees shoul

Ira Lisetskai [31]

58%-62%
just add 2 to 60
and subtract 2 from 60 to find the range of percents

5 0

3 years ago

Read 2 more answers