Answer:
x=4, y=-11. (4, -11).
Step-by-step explanation:
3x+2y=-10
5x+y=9
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3x+2y=-10
-2(5x+y)=-2(9)
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3x+2y=-10
-10x-2y=-18
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-7x=-28
7x=28
x=28/7=4
5(4)+y=9
20+y=9
y=9-20=-11
A) S + D = 200
B) 85 S + 110 D = 18,250 we multiply A) by -85
A) -85 S -85 D = -17,000 then we add to B) and get
25 D = 1,150
Double Bed Rooms = 46
Single Bed Rooma = 154
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Double Check
46 * 110 = 5,060 154 * 85 = 13,090
Total = 18,150
Answer: A. Δ LMN ≅ ΔOPQ because of AAS.
Step-by-step explanation:
In the given picture, we have two triangles Δ LMN and ΔOPQ.
Also it is given that in Δ LMN and ΔOPQ.



So by AAS theorem, we have
Δ LMN ≅ ΔOPQ.
- AAS theorem says that if two angles and any side of a triangle are congruent to two angles and any side of another triangle then the two triangles are congruent.
Answer:
He payed off 6,800$
Step-by-step explanation:
We will see that for Stuart the maximum height is 30ft, and for Francisco it is 46.0625 ft
<h3>
How to get the greatest distance from the ground?</h3>
In the case of Stuart it is simple, as we have a graph, we just need to see the largest y-value on the graph. We can see that it is y = 30, then for Stuart, the largest distance from the ground is 30ft.
In the case of Francisco, we need to find the maximum of:
g(x)= -16x^2 + 50x +7
Notice that this is a quadratic of negative leading coefficient, so the maximum is at the vertex.
x = -50/(2*-16) = 25/16
Evaluating the function in 25/16 we get:
g(25/16) = -16*(25/16)^2 + 50*(25/16) +7 = 46.0625 ft
If you want to learn more about quadratic functions, you can read:
brainly.com/question/1214333