All categories

2 years ago

1 Line AB passes through the points A(-1, -2) and B(3,8). Would AB be parallel to a line whose slope is equal to 3?

Mathematics

1 answer:

enyata [817]2 years ago

7 0

keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the line above

$(\stackrel{x_1}{-1}~,~\stackrel{y_1}{-2})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{8}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{8}-\stackrel{y1}{(-2)}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{(-1)}}}\implies \cfrac{8+2}{3+1}\implies \cfrac{10}{4}\implies \cfrac{5}{2}~\hfill \stackrel{\textit{\large nope}}{\cfrac{5}{2}\ne 3}$

You might be interested in

Mark has $100,000 to invest. His financial consultant advises him to diversify his investment in three types of bonds: short-ter

galina1969 [7]

Answer:

Short-Term investment: 5000$

Intermediate-Term investment: 65000$

Long-Term investment: 30000$

Step-by-step explanation:

To construct our first equation lets define sort-term bond investment as x, long-term investment as y.

So the equation is:

$x*0,04+(100000-x-y)*0,05+y*0,06=5250$

From the equation it is found that:

$y=25000+x$

Instead of y, if we put 25000+x the equation will be as following:

$x*0,04+75000*0,05+(25000+x)*0,06=5250$

From the equation it is found that:

$x=5000$

Short-Term investment is 5000$

$x+25000=y$

Long-Term investment is 30000$

Rest of the money is Intermediate-Term investment 65000$

5 0

3 years ago

How do you solve y=5x-5 and y=3x+3 using substitution method?

ser-zykov [4K]

Answer:

set y=0 in one of the equations and then in the other one set x=0

Step-by-step explanation:

below is how you do it

y=5x-5 y=3x+3

0=5x-5 y=3(0) +3

5=5x y=3

1=x

4 0

2 years ago

Read 2 more answers

4 Points

Vladimir [108]

Answer:

$35$

Step-by-step explanation:

One is given the following function ( $y=3x+5$ ). The given problem asks one to find the output of the function when the input is (10). Keep in mind, a general rule for dealing with functions is that, when present, the variable (x) represents the input. Whereas the variable (y) represents the output. Thus, if one were to substitute (10) in place of (x), and simplify: the result one would get is the output. Apply this idea to the given scenario: