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Pavlova-9 [17]
3 years ago
6

The graphs of the equations y=2x+2 and y=-2x+a+1 intersect n quadrant 1 for which values of a?

Mathematics
1 answer:
Nataly_w [17]3 years ago
8 0
Solve the system of equations:
y=2x+2  ................(1)
y=-2x+a+1............(2)
for x and y
(1)-(2)
4x-a+1=0 => x=(a-1)/4
(1)+(2)
2y=a+3 => y=(a+3)/2

x>0 if (a-1)/4>0 => a>1
y>0 if (a+3)/2>0 => a>-3

For both x & y >0, we have the condition a>1.

Note that if a=1, then the intersection poin lies ON the x-axis, and therefore NOT in quadrant 1.

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At the skating rink, 6 out 10 skaters were able to skate under the limbo bar. Which names the fraction of skaters who were not a
Tasya [4]
2/5 because 10/10 minus 6/10 equals 4/10 which reduces to 2/5
7 0
3 years ago
The cost our summer school trip is $17 per students plus a $175 fee for the bus. 1) Write a linear equation for the total cost o
scZoUnD [109]

Answer:

Step-by-step explanation:

1)         17x + 175 = y

2)        17(28) + 175 = y

           476 + 175 = y

           651 = y

           Cost for bus and 28 students is $651

3)        889 - 175 = 714

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7 0
3 years ago
What is the solution of the system? Use the substitution method.
cricket20 [7]
Start by isolating one of the variables
x=-4y+2
Sub x into the other formula and solve for the y value of the solution.
3(-4y+2)+2y=11
-12y+6+2y=11
-12y+2y=11-6
-10y=5
y=-1/2
Sub the y value into the x formula you created.
x=-4(-1/2)+2
x=2+2
x=4
Therefore the solution is (4,-1/2) I think the answer is B unless the y value is actually -12.
Hope this helps :)
8 0
3 years ago
PLS HELP ASAP, WILL MARK YOU BRAINLIEST!!!!
GuDViN [60]

Answer:

Try looking at each angle and add the sides

Step-by-step explanation:

4 0
2 years ago
What is force? How is it measured? Write any two effects of force​
Papessa [141]

Answer: Please refer to:

- A force is a push or pull upon an object resulting from the object's interaction with another object. Whenever there is an interaction between two objects, there is a force upon each of the objects. ... Forces only exist as a result of an interaction.

- Force is a vector quantity, with both direction and magnitude. It is defined as Mass x Acceleration = Force.

   + The SI unit of force is the newton (N); defined as the unit of force which would give to a mass of one kilogram an acceleration of 1 meter per second squared.

-   two effects of force​:

  +  It can change the state of movement of the body on which force is applied, i.e. it can move a stationary object or stop a moving object.

  +  It can change the shape and size of an object.

Step-by-step explanation:

I'm not sure but hope it helps.

4 0
3 years ago
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