Which statements are true about the ordered pair (−1, 5) and the system of equations?
Answer:
Option D is correct answer.
Step-by-step explanation:
We are given the system of equations:
[tex]x+y=4\\x-y=-6[/tex]
Solving the system of equations to find values of x and y
Let:
[tex]x+y=4--eq(1)\\x-y=-6--eq(2)[/tex]
Adding both equations to find value of x
[tex]x+y=4\\x-y=-6\\------\\2x=-2\\x=\frac{-2}{2}\\x=-1[/tex]
So, we get value of x: x=-1
Now, putting value of x: x=-1 into equation 1 to find value of y
[tex]x+y=4\\Putx=-1\\-1+y=4\\y=4+1\\y=5[/tex]
So, we get value of y: y=5
The ordered pair will be: (-1,5)
So, Option D: The ordered pair(-1,5) is a a solution to the system of equations because it makes both equations true is correct choice.
Checking:
Put x=-1 and y=5 in equation 1
[tex]x+y=4\\-1+5=4\\4=4\:True[/tex]
Put x=-1 and y=5 in equation 2
[tex]x-y=-6-1-5=-6\\-6=-6\:\:\:True[/tex]
So, both equations are true.
Therefore, Option D is correct answer.
Pls answer these for me!!! I need it assap because I have to go to dance and when I come back it’s like 10!!! And that’s when I sleep:( and when I eat it’s 12
Answer:
area models
Step-by-step explanation:
an area modle is something to model area
Answer:
1. round
2. associative property of multiplication
3. commutative property of multiplication
4. mixed number
I need help on this question reallyyyyy fast
Answer:
40 degrees
Step-by-step explanation:
75 + 65 = 140
The sum of all of the angles of a triangle equals 180
180-140 = 40
Jane mixes 3 gallons of red paint (r) for every 6 gallons of blue paint (b). Write one equations that show the relationship between red paint and blue paint. Use lower case r and b (NO SPACES)
Answer:
umm 9 gallons i think
Step-by-step explanation:
Can you please help me out? ;-;
In a right triangle, the length of one leg is 3 cm. The length of the other leg is 2 cm. What is the length of the hypotenuse?
Answer:
3^2+2^2=13
[tex] \sqrt{13} [/tex]
= 3.60555
Step-by-step explanation:
prove me wrong
A right cylinder has a diagonal length of 37 and a total surface area of 492.
What is the height of the cylinder?
A. 35
B. 42
C. 25
D. 17
E. 32
Answer:
Step-by-step explanation:
A right cylinder has a diagonal length of 37 and a total surface area of 492.
What is the height of the cylinder?
A. 35
B. 42
C. 25
D. 17
E. 32
Christian saved 27% of the $8,500 he earned painting the toenails of tiny poodle as a Carney worker at the 2007 state fair. How much has he saved?
Answer:
maybe 23
Step-by-step explanation:
The above problem has completed the first step, distributing both sides of the equation.
Finish the problem and determine the value of x.
A student examines the triangle shown above. He notices that lines BE andCD look parallel. The student claims that they are parallel by look aLone ?
Find the value of X AND Y: Show your work.
We are given:
AB = 7x + 10
BD = 9x - 2
∠DBC = 9y - 9
∠ABC = 90°
AB = BD
Solving for x:
We are given that AB = BD
7x + 10 = 9x - 2 [since AB = 7x+10 and BD = 9x-2]
10 = 2x - 2 [subtracting 7x from both sides]
2x = 12 [adding 2 on both sides]
x = 6 [dividing both sides by 2]
Hence, x = 6
Solving for y:_______________________________________________
We know that AD is a straight line,
So, ∠ABC and ∠DBC must form a linear pair
∠ABC + ∠DBC = 180°
90 + 9y-9 = 180
9y - 9 = 90 [subtracting 90 from both sides]
9y = 99 [adding 9 on both sides]
y = 11 [dividing both sides by 9]
Hence, y = 11
which deal is better? 3 tacos for 2.40 dollars or 4 tacos for 3.40 dollars?
Answer:4 tacos for 3.40 dollars
Step-by-step explanation:
Help me help me help me help me help me help me help me help me help me help me help me help There is more than one answer
i think that's letter B & C
Hi it's Mia! '^' Give the other person brainliest, They worked hard to get the answer you needed! Have a wonderful day! :)
Graph f(x) = 3/2x + 2.
Use the line tool and select two points to graph the line.
Answer:
(0,2) and (2,5)
Step-by-step explanation:
1. Simplify -3(2x+4)-2
6х+12
-5x-9
-6х-14
-X-2
Answer:
-6x-14 is the answer. Thx.
Step-by-step explanation:
-3(2x+4)-2
6x-4-2
6x-6
kristy had two brothers and 2 sister the little sister name kylie was 8 years old the big sister name kaylie is 12 years old the big brother name jay lay is 13 years old the little brother is 10 years old but they mom let hem buy what ever they wanted she gave each 10$ and 9 cents how many money did she paid
Answer:
Ahhhhhhhhhhhhhhhhhhhhhhhh
Step-by-step explanation:
Thx fa free points susta
What is the slope (1,5),(10,2)
Answer:
m=-1/3
Step-by-step explanation
y2=2,y1=5 , x2=10 , x1= 1
m=y2-y1/x2-x1
m=2-5/10-1
m=-1/3
3/9 because if u plot the 2 points on a graph it will be 3 up and 9 over.
Brainliest...I have to post a few of these cause I forgot to study for this assignment....
Answer:
-1
Step-by-step explanation:
you do 1/1 which is 1. because the line is negative, the answer is -1
Which type of data is more "perfect"?
Answer:
The answer is Graph Data
How to find percents of numbers using multiples of 100, 10, and 1%?
I need this for my summary, please help!!
Answer:
Im not too sure what the question is
Step-by-step explanation:
but when finding the percent of any number, 10% will always move the decimal over to the left once. So 10% of 300 is 30.0 This also works for 1%, you just move the decimal over twice. So 1% of 300 is 3
SOMEONE PLEASE HELP!!!
Select the reason why these triangles are
similar. If they are not, select "Not similar".
Answer:
not similar bcs side are not in ratio
If u are selling 5 cans of soup for $12.75 how much is each of them
Answer:
63.75
Step-by-step explanation:
12.75 times 5
Is that the real answer at the top and what’s the Raleigh Rocket’s score ?
Answer:
The scores are as follows:
Caroline Castways = 72
Raleigh Rockets = 24
Step-by-step explanation:
Let c be the Castways score and r be the Raleigh Rocket’s score
Then
According to given statements, the equations will be:
[tex]c+r = 96\\r = \frac{1}{3}c[/tex]
From equation 2
[tex]3r=c[/tex]
Putting c = 3r in equation 1
[tex]3r+r = 96\\4r = 96\\\frac{4r}{4} = \frac{96}{4}\\r = 24[/tex]
Putting the value of r in equation 2
[tex]r = \frac{1}{3}c\\24 = \frac{1}{3}c \\c = 24*3\\c = 72[/tex]
Hence,
The scores are as follows:
Caroline Castways = 72
Raleigh Rockets = 24
please help me on this question
Answer:
The answer is A
Step-by-step explanation:
[tex] \frac{1 \times 3}{2 \times 3} = \frac{3}{6} \\ \\ \frac{2 \times 2}{3 \times 2} = \frac{4}{6} [/tex]
what is the sqaure root of 38
Answer:
The square root of 38 is 6.164Step-by-step explanation:
I hope it helps you ❤❤Can somebody help me. Will mark brainliest.
What are the solutions of the inequality?
-4(-2x+3) > 8x – 14
can someone explain why it’s infinitely many solutions?
Answer:
( − ∞ , ∞ )
Step-by-step explanation:
please answer asap I'll mark brainliest!!!!
Answer:
10.) 6 2/5 11.) 21/100
Step-by-step explanation:
I hope that these are correct, they are simplified.
Stay awesome! and don't forget to be K I N D! <3
Jayanti takes shortest route to her home by walking diagonally across a rectangular park. The park measures 60 meters ×80 meters. How much shorter is the root across the park than the route around its edges?
Pls help!!! It's due today in about 6 hours!!!!! I would also like a proper explanation instead of the answer itself!!!!
Answer:
The route across the park is 40 meter shorter than the route around its edges.
Step-by-step explanation:
We have to calculate the distance for both routes
As the route around the edges is straight, we have to find the sum of length of both edges
Let [tex]R_E[/tex] be the distance of route around edges
[tex]R_E = 80+60 = 140\ meters[/tex]
Now we know that a diagonal divides a rectangle in two right angled triangles in which the diagonal is the hypotenuse.
We can use Pythagoras theorem to find the length of the diagonal
So,
[tex]H^2 = P^2 + B^2[/tex]
In the given scenario
P = 60
B = 80
Now
[tex]H^2 = (60)^2 + (80)^2\\H^2 = 3600+6400\\H^2 = 10000\\\sqrt{H^2} = \sqrt{10000}\\H = 100\ meters[/tex]
In order to calculate that how much shorter is the path across the park, we have to subtract the distance across park from the distance across edges.
[tex]= 140-100 = 40\ meters[/tex]
Hence,
The route across the park is 40 meter shorter than the route around its edges.
2(3x-2)=14 pls help
Sheila rolled a number cube numbered 1 through 6 and tossed a coin for heads, H, or tails, T. Which list represents all the possible outcomes of rolling the number cube and tossing the coin ?
A) 1H, 2T, 3H, 4T, 5H, 6T
B) 12, 34, 56, HT
C) 12, 13, 14, 15, 16, 23, 24, 25, 26, 35, 36, 45, 46, 56, HT
D) 1H, 2H, 3H, 4H, 5H, 6H, 1T, 2T, 3T, 4T, 5T, 6T
Ill give you Brainliest , :)
Answer:
A
Step-by-step explanation:
its the most logical one to me
Answer:
A
Step-by-step explanation: