Look at the photo plz !!

Can you break down how to solve the problem ?

Montano1993 [528]

Answer:

A. y = $\frac{-5x}{2}$ - 1

Step-by-step explanation:

Given parameters:

Equation of the line:

5x + 2y = 12

Coordinates = -2, 4

Unknown:

The equation of the line parallel to this line = ?

To solve this problem, first, we need to find the slope of the given line.

Every linear equation have the formula: y = mx + c

m is the slope of the line, c is the y- intercept

5x + 2y = 12

Express this equation as y = mx + c

2y = -5x + 12

y = $\frac{-5}{2}x$ + 6

The slope of this line is $\frac{-5}{2}$

Now, any line that is parallel to another will not cut or cross it at any point. This simply implies they have the same slope.

Slope of the line parallel is $\frac{-5}{2}$

Our new line will also take the form y=mx + c,

Coordinates = -2, 4, x = -2 and y = 4

m is $\frac{-5}{2}$

Now let us solve for C, the y-intercept;

4 = - 2 x $\frac{-5}{2}$ + C

4 = 5 + C

C = -1

The equation of the line is therefore;

y = $\frac{-5x}{2}$ - 1

6 0

3 years ago

Suppose a researcher is interested in understanding the variation in the price of store brand milk. A random sample of 36 grocer

liberstina [14]

Answer: ($3.055, $3.205)

Step-by-step explanation:

Given : Significance level : $\alpha: 1-0.95=0.5$

Critical value : $z_{\alpha/2}=1.96$

Sample size : n= 36

Sample mean : $\overline{x}=\$\ 3.13$

Standard deviation : $\sigma= \$\ 0.23$

The confidence interval for population mean is given by :_

$\overline{x}\pm z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}$

$\text{i.e. }\$\ 3.13\pm (1.96)\dfrac{0.23}{\sqrt{36}}\\\\\approx\$\ 3.13\pm0.075\\\\=(\$\ 3.13-0.075,\$\ 3.13+0.075)=(\$\ 3.055,\$\ 3.205)$

Hence, the 95% confidence interval to estimate the population mean = ($3.055, $3.205)

3 0

3 years ago

Jane paid 40$ for an item after

ad-work [718]

Answer:

after what.................. ???

3 0

3 years ago

At memorial hospital 9 of 12 babies born on Tuesday were boy. In simplest form what fraction of the babies born on Tuesday we’re

n200080 [17]

3/4 is the answer to your question

8 0

3 years ago

Read 2 more answers

Find the equation of the line using the point-slope formula. Write the final equation using slope-intercept form. (1,2) with a s

Lilit [14]

Answer:

$y-2=\displaystyle -\frac{3}{4}(x-1)$

OR

$y=\displaystyle -\frac{3}{4}x+\frac{11}{4}$

Step-by-step explanation:

Hi there!

Point-slope form: $y-y_1=m(x-x_1)$ where m is the slope of the line and $(x_1,y_1)$ is a given point

Given that the slope is -3/4, we can plug it into $y-y_1=m(x-x_1)$ as m:

$y-y_1=\displaystyle -\frac{3}{4}(x-x_1)$

We can also plug in the given point (1,2):

$y-2=\displaystyle -\frac{3}{4}(x-1)$

Slope-intercept form: $y=mx+b$ where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)

To write the equation in slope-intercept form, isolate y:

$y-2=\displaystyle -\frac{3}{4}(x-1)\\\\y=\displaystyle -\frac{3}{4}(x-1)+2\\\\y=\displaystyle -\frac{3}{4}x+\frac{3}{4}+2\\\\y=\displaystyle -\frac{3}{4}x+\frac{11}{4}$

I hope this helps!

8 0

2 years ago