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rusak2 [61]
3 years ago
10

For the graph shown, select the statement that best represents the given system of equations. 3y – x = 2 9y – 3x = 6

Mathematics
1 answer:
poizon [28]3 years ago
5 0
You can find that out by first putting two equations in slope-intercept form y=mx+b by solving for y.
3y - x = 2
3y = x+2
y = (1/3)x + 2/3

9y = 3x + 6
y = (3/9)x + 6/9
y = (1/3)x + 2/3

They are the same line as you can see in the final step.
Since the two lines are the same line, (they "coincide") they are coincident.
Coincident means there are an infinite number of solutions, and since they are the same line, there are an infinite number of solutions.
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PLEASE HELPPPP!!!!!!!!!!!!
sladkih [1.3K]
Given:

Two endpoints of a diameter of a circle:

P (-7, -10)
Q (3, 2)

a) To find the center of the circle, find the midpoint of the two points:

midpoint:

(x2 - x1 )/ 2 , (y2 - y1) / 2

x= (2 - (-7))/2 = 4.5
y= (3 - (-10))/2 = 6.5

Therefore, the center of the circle is at C(4.5, 6.5)


 b) To find the radius of the circle, we need to find the distance between the two points and divide by 2.

d = √(y2-y1)^2 + (x2 - x1)^2
d = √(2-(-7))^2 + (3 - (-10))^2
d = 5√10 = diameter
r = d/2 = 5√10 /2 
5 0
3 years ago
PLZ help! I will give brainlest to fist correct answer!
NeX [460]

Answer:

The correct answer is D

Step-by-step explanation:

3 0
3 years ago
A board is 27 inches long. How long is the board in centimeters? Use the following conversion: 1 inch is 2.54 centimeters.
Elina [12.6K]

1 inch = 2.54 cm

 so multiply 27 by 2.54


27 x 2.54 = 68.58 cm long

6 0
3 years ago
Tallulah's family took a road trip to the Grand Canyon. Tallulah slept for the last 129 miles of the trip. If the total length o
KIM [24]

Answer:

43% of the trip

Step-by-step explanation:

1. Create an Equation

300 miles/100*x percent=129 miles <=== Make an equation so you can find the percent she slept of the trip

2. Solve

300 miles/100*x percent=129 miles

3x=129 <=== 300 divided by 100 is 3 and 3 times x is also 3x

3x/3=129/3 <=== divide by 3 from both sides

x=43

Since x is 43 that means 129 equals 43% which is how much Tallulah slept

of the trip.

3. Check

300 miles/100*43%=129 miles <=== Substitute x with 43%

3x43%=129

129=129 <=== 129 is 129 which means that the answer is correct!

Please Brainliest I am trying to level Up.

8 0
2 years ago
At a certain school,5/9 of the students are boys. Today, 2/3 of the boys brought their lunch. What fraction of the students are
Elodia [21]
5/6 of the boys brought their lunch.



In order to determine the answer you need to divide 5/9 by 2/3 in which will give you 5/6.
4 0
3 years ago
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