Find the Greatest Common Factor of 6ab, 3a

The distance traveled by a car going 65 miles per hour for 3.5 hours is

12345 [234]

The total distance of the car is 227.5 miles

3 0

3 years ago

What is the equation of the line that is parallel to the line 2x+3y=-8 and passes through the point (2,-2)?

Leya [2.2K]

Equation of line passing through (2, -2) and parallel to 2x+3y = -8 is $y=\frac{-2 x}{3}+\frac{-2}{3}$

<h3><u>Solution:</u></h3>

Need to write equation of line parallel to 2x+3y=-8 and passes through the point (2, -2)

Generic slope intercept form of a line is given by y = mx + c

where "m" = slope of the line and "c" is the y - intercept

Let’s first find slope intercept form of 2x+3y=-8 to get slope of line

$\begin{array}{l}{2 x+3 y=-8} \\\\ {=>y=\frac{-2 x-8}{3}} \\\\ {\Rightarrow y=-\frac{2}{3} x-\frac{8}{3}}\end{array}$

On comparing above slope intercept form of given equation with generic slope intercept form y = mx + c,

$\text {for line } 2 x+3 y=-8, \text { slope } m=-\frac{2}{3}$

We know that slopes of parallel lines are always equal

So the slope of line passing through (2, -2) is also $m=-\frac{2}{3}$

Equation of line passing through $(x_1 , y_1)$ and having slope of m is given by

$\left(y-y_{1}\right)=\mathrm{m}\left(x-x_{1}\right)$

$\text { In our case } x_{1}=2 \text { and } y_{1}=-2$

Substituting the values in equation of line we get

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

$\begin{array}{l}{\Rightarrow y+2=\frac{-2 x+4}{3}} \\\\ {=>3(y+2)=-2 x+4} \\\\ {=>3 y+6=-2 x+4} \\\\ {3 y=-2 x-2}\end{array}$

$y=\frac{-2 x}{3}+\frac{-2}{3}$

Hence equation of line passing through (2 , -2) and parallel to 2x + 3y = -8 is given as $y=\frac{-2 x}{3}+\frac{-2}{3}$

7 0

3 years ago

The display below shows the number of home runs hit by six of the players on the Cardinals baseball team.

Ket [755]

Answer:

8

Step-by-step explanation:

If each baseball= 4 homeruns, and Chester has 5 baseballs next to his name (20 homeruns), then Evan hit 12 home runs because 4*3= 12 and he has 3 baseballs next to his name.

20-12=8

6 0

3 years ago

Refer to the sample data for pre-employment drug screening shown below. If one of the subjects is randomly selected, what is t

Musya8 [376]

Answer:

probability of a false positive test result = 0.010

The non-drug user will suffer from the result since it is positive

Step-by-step explanation:

The probability that the test result is a false positive

total number of cases studied (n) = 38 + 12 + 19 + 29 = 98

number of false positive cases ( x ) = 1

probability of false positive result = x / n = 1/98 = 0.010

The non-drug user will suffer from the result since it is positive

6 0

2 years ago

HaLp PwEaSe <br>what is the least common denominator(LDC) of 5/6 and 11/4 hurry pwease

AleksAgata [21]

Answer:

2

Step-by-step explanation:

3 0

3 years ago