Please help me if you can :)

Write an equation of the line that is parallel to 2x + 4y = 6 and passes through the point (6, 4). A) y = 2x + 4 B) y = 2x - 8 C

Lynna [10]

Answer:

$\large\boxed{D.\ y=-\dfrac{1}{2}x+7}$

Step-by-step explanation:

$\text{Let}\\k:\ A_1x+B_1=C_1\\\\l:\ A_2x+B_2y=C_2\\\\\text{then}\\\\k\ \parallel\ l\iff A_1=A_2\ \wedge\ B_1=B_2\\==========================$

$\text{We have the equation:}\ 2x+4y=6\\\\\text{Therefore the equation of a parallel line is:}\ 2x+4y=C\\\\\text{Put the coordinates of the given point to the equation and solve for}\ C:\\\\(6,\ 4)\to x=6,\ y=4\\\\C=2(6)+4(4)\\C=12+16\\C=28\\\\\text{The equation in the standard form:}\\\\2x+4y=28$

$\text{Convert to the slope-intercept form}\ y=mx+b:\\\\2x+4y=28\qquad\text{subtract}\ 2x\ \text{from both sides}\\\\4y=-2x+28\qquad\text{divide both sides by 4}\\\\y=-\dfrac{2}{4}x+\dfrac{28}{4}\\\\y=-\dfrac{1}{2}x+7$

8 0

4 years ago

If each side of a square measures (32 + 8) write an equation you could use to find the area of the square.

Whitepunk [10]

Answer:

A = 9x² + 48x + 65

Step-by-step explanation:

Area of a Square Formula: A = lw

Since a square's length is equal to its width, we simply plug it into the formula:

A = (3x + 8)(3x + 8)

Then we simply use FOIL to expand the distribution)

First - 3x(3x) = 9x²

Outside - 8(3x) = 24x

Inside - 8(3x) = 24x

Last - 8(8) = 64

Lastly, we combine like terms

9x² + 24x + 24x + 64

9x² + 48x + 64

6 0

3 years ago

Jin Li's parents deposit $2,000 in a college savings account. The account pays an interest of 4% compounded annually. What would

tamaranim1 [39]

This can be described by the exponential equation y = 2000 x 1.04(to the xth power), in which x is the number of years passed.
thus, we put in 9 for x.
y = 2000 x 1.04^9
1.04^9 = about 1.42
2000 x 1.42 = $2840 :)

7 0

4 years ago

On a particular stretch of highway, the State Police know that the average speed is 62 mph with a standard deviation of 5 mph. O

makkiz [27]

Using the normal distribution and the central limit theorem, it is found that there is a 0% probability of a sample of 50 cars recording an average speed of 66 mph or higher.

In a normal distribution with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

It measures how many standard deviations the measure is from the mean.
After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.
By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .