Answer: Choice D
(2,2) is the solution to line A, but not to line B
==========================================================
Explanation:
Let's find the equation of line A
First we need the slope
m = (y2-y1)/(x2-x1)
m = (6-0)/(0-3)
m = 6/(-3)
m = -2
Since the point (0,6) is on line A, we know b = 6 is the y intercept.
The equation of line A is y = -2x+6.
-----------------------------
Let's find the equation for line B
So we need the slope
m = (y2-y1)/(x2-x1)
m = (5-0)/(5-0)
m = 5/5
m = 1
The y intercept is b = 0 since the line goes through (0,0)
The equation of line B is y = 5x+0 which is the same as y = 5x.
------------------------------
Our system of equations is
[tex]\begin{cases}y = -2x+6\\y = 5x\end{cases}[/tex]
We can see that plugging x = 0 into line A's equation leads to y = 6. So (0,6) is on line A. However, the point (0,6) is not on line B because plugging x = 0 leads to y = 0.
This allows us to rule out choices A and B.
--------------------------------
Let's see what happens when we plug in x = 2 to line A
y = -2x+6
y = -2*2+6
y = -4+6
y = 2
The point (2,2) is on line A
Now let's do the same for line B
y = 5x
y = 5*2
y = 10
The point (2,10) is on line B meaning that (2,2) is not on line B.
We can rule out choice C and conclude that choice D is the final answer.
Side note: Choice D should read "(2,2) is a solution" instead of "(2,2) is the solution" since there are infinitely many solutions on any given line. So another solution for example would be (0,6).
Bottom price for the last post!!!.!
Which of the following equations are true about the following parallelogram?
Answer:
A, B, E
Step-by-step explanation:
A is true since the sum of the measures of two consecutive angles of a parallelogram is 180 deg.
B is true since opposite angles of a parallelogram are congruent.
C is false since that equation gives x = -1, but x cannot equal -1 since that would make angle 3x - 12 have a negative measure.
D is false for the same reason as choice C.
E is true since x = 20 is the solution of the equations in choices A and B.
Solve the system.
4x - 2y + 3z = -3
2x - 3y + 2z = 1
6x + 10Z = -2
Enter your answer as an ordered triple.
Help Please! Solve For X In The Diagram.
Answer:
[tex] \boxed{x = 11.}[/tex]
Step-by-step explanation:
[tex]180 - (7x - 7) + 50 + (x + 9) = 180 \to sum \: of \: angles\\ - 7x + 7+ 50 + x + 9 =0 \\ 6x = 66 \\ x = \frac{66}{6} \\ x = 11.[/tex]
♨Rage♨
2+2-9+9+234-89+2747-3+902/3892+7y+9y Does anybody know this answer? My teacher put this as homework.
Answer:
1296 m^2
Step-by-step explanation:
I searched the answer up I wish you best of luck with your homework
n + 2 = -14 - n help please with work if possible:))
Answer:
N = -16.
Step-by-step explanation:
To solve this equation, you'll need to take the -2 over to the other side.
The equation will become [tex]n = -14 - 2[/tex]
So, N = -16.
Hope I helped :)
Admission to a local aquarium is $10 for
adults and $7 for children. The aquarium
collected $6,549 from the sale of 783
tickets. Find the number of adult tickets and
children tickets that were sold.
First, let's define variables:
A = adults
C = children
Okay, now that's done, time to set up the two equations required to solve:
10a + 7c = 6549
a + c = 783
One way you can solve this is to set up the second equation to isolate a variable. For example,
a = -c + 783
Using this, we can plug it into the first equation and solve for c.
10(-c+783) + 7c = 6549
-3c = -1281
c = 427
Now, use the value of 427and plug it in either equation to solve for a.
a + 427 = 783
a = 356
356 adult tickets were sold, and 427 children tickets were sold.
Write the equation of the line that passes through the points (4, -3) and (3, 2). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.
Answer:
Use the slope equation to find the slope of the 2 points. Then substitute the values given and the slope into the point slope equation.
Step-by-step explanation:
Point slope equation: y − y1 = m(x − x1)
Slope: y2-y1/x2-x1
Help me pleasee... thank you sm in advance.
What are the dimensions of the cereal box?
The length is
in., the width is
in., and the height is
in.
Answer:
The length is 6 in., the width is 2 in., and the height is 16 in.
Answer:
length 6in.
width 2in.
height 16in.
Step-by-step explanation:
edge 2020
If two lines intersect, prove that vertically opposite angles are equal.
Find the commission earned on total sales of $164,000 at a commission rate of 3%.
Answer:
$4,920
Step-by-step explanation:
164,000 x .03 = 4920
Answer:
4,920 is the answer.
Step-by-step explanation:
Will give brainliest whoever answers asap plz it’s.active please
Hurrreyyyy
9 — 3x = у
3х – у = -2
Answer:
This could be wrong, but i still wanted to help you.
Step-by-step explanation:
9-3x=y
+9 +9
3x=y
÷3 ÷3
x=y/3
Im sorry if this is wrong
1. Alex weighs 5443 grams more than his
younger brother. If his brother weighs
32,658 grams, how much does Alex
weigh?
The question is in the picture.
Answer:
it's the bottom left one
I hope this helps
an 8 inch candle burns 1/4 inch every hour. a 12 inch large candle burns 1/2 inch every hour. after how many hours will the two candles be the same height?
Answer:
69
\
Step-by-step explanation:
Help needed ASAP will give brainliest and 5 stars rate not a test
Answer:
area square inches is less than 1.2
Step-by-step explanation:
Plz Help will give major points and brainliest.
Answer:
see below
Step-by-step explanation:
a) The unknown is the price of a large pizza
b) Each pizza cost is positive,
c) The the price of a pizza be p,
so the price of one pizza is p
d) The expression is
6 pizzas minus 3 dollar off each pizza
6p -3p
e) Set this equal to the total cost
6p -3p= 38.94
f) Combine like terms
3p = 38.94
Divide each side by p
3p/3 = 38.94/3
p = 12.98
The price of each pizza before discount is 12.98
Can I get the answer?
Answer:1 by the 2
Step-by-step explanation:Good job
A car dealer reported a 7.5% drop in sales from 895 cars. How many cars were sold?
Answer:
its is 38.6
Step-by-step explanation:
Which of the following statements are always true about matrices?
Two matrices are equal if they are both square matrices.
Two matrices with different sizes cannot be equal.
A 2 x 3 matrix has 2 rows and 3 columns.
Two matrices are equal if their corresponding elements are equal.
Answer:
B, C, D
Step-by-step explanation:
edge 2023
Solve 6kx = 4kx + 8 for x.
Start by collecting the variable terms on the same side of the equation.
What is the first step?
Answer:
x = 4k
Step-by-step explanation:
6kx = 4kx + 8
The first step in solving for x is to get both numbers with kx on the same side. Move the 4kx to the left side of the = by subtracting 4kx from each side.
2kx = 8
Next, move the 2k to the right side of the = by dividing both sides by 2k
x = 8/2k
The last thing to do is to simplify the equation by making the 8/2 to 4/1 or 4.
x = 4k
– 3х + 10 = 2
— 3х + Зу = 9
Answer: A! x=-1 2/5, y= 1 3/5
Step-by-step explanation:
First put -3x+3y=9 into slope-intercept form(y=mx+b)
3y=-3x+9
then solve for y
y=-1x+3
enter your y-intercept into the equation below..
2x-7(-1x+3)=-14
2x+7x-21=-14
2x+7x=-14+21(when changing sides it changes signs that's why 21 is now a positive)
2x-7x=7
-5x=7 divide -5 into 7
7/5
x=-1 and 2/5
then input x back into the first equation
-3(7/-5)+3y=9
21/5+3y=9
3y=9-21/5
3y=24/5
divide 3 into 24/5
=24/15=1 and 9/15 reduce it anddd
y=1 and 3/5
How do I find x and what’s the relation ?
Answer:
X=17
Step-by-step explanation:
Im sorry if this sounds a bit confusing. Im better at doing the math then explaining it. All the angles in that are 90-degree angles and because of that, you can assume that the angle that you trying to find is also 90 degrees. So to find that equation you can do this.
4x+22=90 -22 from both sides.
-22=-22
you are left with
4x=68 then divide 4 from both sides.
/4=/4
you then get x=17 which is your answer.
Check your answer by plugging 17 into x.
4*17+22=90
The answer is 90 so you are correct.
jack bought an external hard drive with 1Tb
The dimension of a laying block is 6m ×4m×2m .find the total surface area of the block
See attachment for math work and answer.
Find (1.6 X 107) + (3.8 X 108).
Express your answer in scientific
notation.
Answer:
=3.8x108+1.6x107
Step-by-step explanation:
Answer: 5.816 × 10²
581.6 in scientific notation is 5.816 × 10²
What is 4x+7=39
Solve for two step equation.
Answer:
8
Step-by-step explanation:
Step 1:
4x + 7 = 39 Equation
Step 2:
4x = 32 Subtract 7 on both sides
Step 3:
x = 32 ÷ 4 Divide
Answer:
x = 8
Hope This Helps :)
Solve
x+(x+1)+(x+2)=168
Answer:
x = 55
Step-by-step explanation:
x+(x+1)+(x+2)=168
3x+3=168
3x=165
x=55
