Answer:
Step-by-step explanation:
- <em>This is a cyclic quadrilateral (all vertices on the same circle)</em>
<u>Opposite angles are supplementary:</u>
- ∠A + ∠C = 180°
- ∠B + ∠D = 180°
<u>Find x:</u>
- x + 5 + x - 7 = 180°
- 2x - 2 = 180°
- 2x = 182°
- x = 91°
<u>Find D:</u>
- ∠D = x - 14°
- ∠D = 91° - 14° = 77°
<u>Find B:</u>
Answer:
A. First equation by -2
Step-by-step explanation:
if you multiply the first equation by -2, the -4y cancels 4y
Answer:
2) The vertex is (1, 2), the domain is all real numbers, and the range is y ≥ 2.
Step-by-step explanation:
Look at the photo below for the graph.
:)
Answer:
length = 200 m
width = 400 m
Step-by-step explanation:
Let the length of the plaing area is L and the width of the playing area is W.
Length of fencing around three sides = 2 L + W = 800
W = 800 - 2L ..... (1)
Let A is the area of playing area
A = L x W
A = L (800 - 2L)
A = 800 L - 2L²
Differentiate with respect to L.
dA/dL = 800 - 4 L
It is equal to zero for maxima and minima
800 - 4 L = 0
L = 200 m
W = 800 - 2 x 200 = 400 m
So, the area is maximum if the length is 200 m and the width is 400 m.
Answer:
x=1 y=1
Step-by-step explanation:
Let's use the elimination method.
3x+4y=7
2x-y = 1 (multiply both sides by 4)
8x-4y=4
3x+4y=7
(add both equations together)
11x=11
x=1
Plug x=1 into either of the equations
2(1) - y=1
2-y=1
2=1+y
y=1
