The graph of a line in the xy-plane has slope 2 and contains the point (1,8). The graph of a second line passes through the points (1,2) and (2,1). If the two lines intersect at the point (a,b), what is the value of a+b?

Answers

Answer 1

Answer:

3

Explanation:

f(x)=2x+c

contain the point(1,8)

2+c=8

c=6

g(x)=kx+d     contains (1,2)(2,1)

k+d=2 and 2k+d=1

k=-1  

d=3

g(x)=-x+3

f(x)=g(x)

2x+6=-x+3

x=-1   so f(x)=g(x)=2*-1+6=4

a+b=4-1=3


Related Questions

Avery gets a good interest rate on her car loan.
A. Information utility
B. Form Utility
C. Time utility
D. Possession Utility
E. Place Utility​

Answers

The answer is Possession Utility. As the good interest rate makes it easy for Avery to buy the car.

Eight times the result of subtracting three from a number is equal to the number increased by 25. What is that number?

Answers

Answer:

Lets write the equation for the information given

8(x-3)=x+25

distribute and then subtract x  

8(x-3)-x=25

8x-24-x=25

7x-24=25

add 24

7x=25+24

7x=49

divide by 7

x=7

After an argument with your parents over whether you should be allowed to stay out until midnight, you are fuming. Your
parents are not persuaded by your arguments, and you begin to think about whether you are being persuasive, and how you
can bolster your position.
Analyze
Evaluate
Question
Reflect

Answers

Answer:

Reflect

Explanation:

Reflecting is when you look back on yourself and think deeply or carefully about your actions. I would most likely associate the given scenario with this, yet it is a very tricky question and all of the choices are possible answers but I think this is the best fitting choice.

Answer:

Reflect

Explanation:

Identify the type of touch.

Chloe hugged her mother goodbye at the front door before heading off to school.
playful
ritual
positive effect
control
task-related

Answers

Answer:

positive effect

Explanation:

would you hug your mom if you loved her

so therefore she was trying to leave a positive effect

by showing her love for her mother

if the answer is wrong then i will be truely sorry

Answer:

positive effect

Explanation:

what is a sport and who id s self

Answers

Answer:

I don't understand ur question only the first part.

Explanation:

What is Id s Stand for or mean

Using the given equation find the missing coordinates of the points and then find the slope of the line for each equation

y=− 3/7x+3
A(?,6)
B(9,?)
slope=?

Answers

Answer:

A(-7,6)

[tex]\displaystyle B\left(9,-\frac{6}{7}\right)[/tex]

[tex]\displaystyle slope=-\frac{3}{7}[/tex]

Explanation:

Coordinates of Ordered Pairs

We are given the function

[tex]\displaystyle y=-\frac{3}{7}x+3[/tex]

And have two incomplete coordinates A(?,6) B(9,?). We'll find the required values by using the given equation.

We know from the point A that the y-coordinate is 6, thus

[tex]\displaystyle 6=-\frac{3}{7}x+3[/tex]

Solving for x

[tex]\displaystyle x=\frac{6-3}{-\frac{3}{7}}[/tex]

[tex]\displaystyle x=-7[/tex]

The point is A(-7,6)

Now for B(9,?), we'll plug x=9

[tex]\displaystyle y=-\frac{3}{7}\cdot9+3=-\frac{27}{7}+3=\frac{-27+21}{7}[/tex]

[tex]\displaystyle y=-\frac{6}{7}[/tex]

The point is

[tex]\displaystyle B\left(9,-\frac{6}{7}\right)[/tex]

The slope is the coefficient of the x, i.e.

[tex]\displaystyle slope=-\frac{3}{7}[/tex]

It is recommended that you apply to:

Answers

Answer:

it is recommended that you apply to 7-10 collages

Five to eight schools.

A P E X approved

joyce is a single, unemployed mother. She has twin three-year-olds who are having speech problems. What type of program would meet Joyce's needs for her children?

Answers

Answer:

1. Developmental—focuses on teaching pre-education techniques.

Explanation:

what is my name and also how tall do u think I am

Answers

Answer:

Explanation:

i think ur name is Emily and ur 4.9 :) i hope i get it right.

what is uno, a a card game b history c nothing d a black person

Answers

a . a card game that gets competitive
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