Part (a)
<h3>Answer: y1 and y3 are perpendicular</h3>
This is because the two slopes 2 and -1/2 multiply to -1. Perpendicular slopes multiply to -1 assuming neither line is vertical or horizontal.
=====================================================
Part (b)
Graph each line to see where they cross. The three points of intersection are
(0,4)
(2,-2)
(4,2)
The order of the points doesn't matter.
You could also form three systems of equations pairing up the equations, and solving each system. That way you can find the points of intersection. Graphing may be a better and faster route in my opinion. See the diagram below.
Answer:
10.8333......
Step-by-step explanation:
First 65 divided by 6 is equal to 10.8333......
So the answer was 10.8333......
Answer:
c
Step-by-step explanation:
c Which system of linear inequalities has the point (2, 1) in its solution set? Which system of linear inequalities has the point (2, 1) in its solution set?
y less-than negative x + 3. y less-than-or-equal-to one-half x + 3 On a coordinate plane, 2 lines are shown. The first solid straight line has a positive slope and goes through (negative 4, 1) and (0, 3). Everything below the line is shaded. The second dashed straight line has a negative slope and goes through (0, 3) and (3, 0). Everything to the left of the line is shaded.
y less-than negative one-half x + 3. y less-than one-half x. On a coordinate plane, 2 lines are shown. The first solid straight line has a negative slope and goes through (0, 3) and (4, 1). Everything below the line is shaded. The second dashed straight line has a positive slope and goes through (0, 0) and (2, 1). Everything below and to the right of the line is shaded.
y less-than-or-equal-to negative x + 3. y less-than-or-equal-to one-half x + 2 On a coordinate plane 2 solid straight lines are shown. The first line has a positive slope and goes through (negative 4, 1) and (0, 3). Everything below the line is shaded. The second line has a negative slope and goes through (0, 3) and (3, 0). Everything below and to the left of the line is shaded.
y less-than one-half x. y less-than-or-equal-to negative one-half x + 2v
Good morning Brainiac
x+y = 13
1/2 x +y = 10
We gonna solve x+y=13 for x
So let's start by adding -y to both sides
x+y -y = 13-y
x= -y +13
Now substitute -y+13 for x in 1/2 x +y=10
1/2 x +y = 10
1/2 (-y+13)+y=10
1/2 y + 13/2 = 10
Now add -13/2 to both sides
1/2 y+13/2 -13/2 = 10- 13/2
1/2 y = 7/2
Now eliminate the common denominator which is 2
y = 7
Now we have the value for y, so lets find the value for x by substitute 7 for y in x= -y+13
x= -y+13
x= -7 + 13
x= 6
Answer : (6,7)
The answer is B
I hope that's help and if you have questions please let me know :)
Good luck
<h2>
Hello!</h2>
The answer is:
Tito needs a total of $6500 in sales if he want to receive $710 a week.
The equation is:
<h2>
Why?</h2>
From the statement we know that his salary is $450 plus a 4% commission on the total amount of all sales he makes.
So, we can write the following equation to determine the total sales in a week if he wants to make a total of $710.
Remember, if we are working with percents, we need to change it to real numbers in order to perform the calculations, we can do it by dividing the percent value into 100.
We have:
Now, if he wants to make a total of $710, we have:
We have that Tito needs a total of $6500 in sales if he want to receive $710 a week.
Have a nice day!
