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Nat2105 [25]
3 years ago
11

Which graph shows the system 1 x++y=2 ? [x2 + y2 =9 ​

Mathematics
2 answers:
pishuonlain [190]3 years ago
8 0

Answer:

The graph of the system in the attached figure

Step-by-step explanation:

we have

isolate the variable y

----> equation A

This is the equation of a vertical parabola open down (because the leading coefficient is negative)

The vertex represent a maximum

the vertex is the point (0,2)

---> equation B

This is the equation of a circle centered  at (0,0) with radius 3 units

The solution of the system of equations is the intersection points both graphs

using a graphing tool

The solutions are the points (-2.05,-2.19) and (2.05,-2.19)

see the attached figure

Trava [24]3 years ago
6 0

Answer:

It's C!

Step-by-step explanation:

Just got it right :>

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Solve for x.<br> Worth 20 pts.
Vinvika [58]
You’d set up a proportion. I did 25/15=7x-40/18.
Then you would cross multiply to get 15(7x-40)=450
Distribute the 15.
105x-600=450
Add 600 to both sides, so the -600 cancels out.
Then you’re left with 105x=1050
Divide both sides by 105 and you get x=10
6 0
3 years ago
Please find the exact length of the midsegment of trapezoid JKLM with vertices J(6, 10), K(10, 6), L(8, 2), and M(2, 2). Thank y
I am Lyosha [343]

Answer:

the exact length of the midsegment of trapezoid JKLM  = \mathbf{ = 3 \sqrt{5} } i.e 6.708 units on the graph

Step-by-step explanation:

From the diagram attached below; we can see a graphical representation showing the mid-segment of the trapezoid JKLM. The mid-segment is located at the line parallel to the sides of the trapezoid. However; these mid-segments are X and Y found on the line JK and LM respectively from the graph.

Using the expression for midpoints between two points to determine the exact length of the mid-segment ; we have:

\mathbf{ YX = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2} }

\mathbf{ YX = \sqrt{(8-5)^2+(8-2)^2} }

\mathbf{ YX = \sqrt{(3)^2+(6)^2} }

\mathbf{ YX = \sqrt{9+36} }

\mathbf{ YX = \sqrt{45} }

\mathbf{ YX = \sqrt{9*5} }

\mathbf{ YX = 3 \sqrt{5} }

Thus; the exact length of the midsegment of trapezoid JKLM  = \mathbf{ = 3 \sqrt{5} } i.e 6.708 units on the graph

8 0
3 years ago
40 tickets were sold for a concert, some at 75 cents and the rest at $1.25. if the total raised was $42, how many had the cheape
Murljashka [212]

Answer:

34

Step-by-step explanation:

$1.25 = 125 cents.

$42 = 4200 cents

Tickets sold at 75 cents = x

Tickets sold at 125 cents = y

x + y = 40

75x + 125y = 4200

Multiply the first equation by 75

75x + 75y = 3000

75x + 125y = 4200

Subtract the the second equation from the first.

75x + 75y = 3000

- 75x + 125y = 4200

-------------------------------

0 - 150y = - 1200

Divide both sides by - 150

-150y/-150 = -1200/-150

y = 8

Substitute y = 8 into the first equation

x + y = 42

x + 8 = 42

x = 42 - 8

x = 34

34 tickets were sold for 75 cents

8 tickets were sold for $1.25

3 0
3 years ago
Sweet Treats sells ice cream cones for​ $4.00 per customer. Variable costs are​ $1.25 per cone. Fixed costs are​ $2,800 per mont
Elanso [62]

Answer:

2.75 dollars

Step-by-step explanation:

4-1.25=2.75

6 0
3 years ago
Ivan earned $343.75 for working 25 hours last week. How much does Ivan get paid per hour?
soldier1979 [14.2K]

Answer:

$13.75

Step-by-step explanation:

Ivan earns $343.75 working for 25hours

The amount that Ivan gets if he works for 1 hour can be calculated as follows

= 343.75/25

= 13.75

Hence the amount paid for one hour is $13.75

8 0
3 years ago
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