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kykrilka [37]
3 years ago
7

Find the value of Q in the following system so that the system to the solution is {(x,y) : x-3y=4}

Mathematics
1 answer:
Crank3 years ago
7 0

Answer:

8

Step-by-step explanation:


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You can model an arch at your school using the equation y=−0.9(x+3)(x−3), where x and y are measured in feet. The x-axis represe
Slav-nsk [51]

Answer:

6 ft

Step-by-step explanation:

As we know that, the arch meet the ground are the value of x when y = 0

y=−0.9(x+3)(x−3)

<=> 0 = −0.9(x+3)(x−3)

<=> x=3 or x=-3  

So we have 2 coordinates: (3, 0) and (-3,0) and the distance between them is:

3 -(-3) = 6

=> The width of the arch at ground level is 6 ft

7 0
3 years ago
Alan's dogs have a total of 24 legs (l). if each dog has 4 legs, which equation gives the number of dogs (
Slav-nsk [51]
4d = 24 would be the right equation. To double check you would divide both sides by 4 (the number of legs) to find the amount of dogs.
3 0
4 years ago
The first two terms of a sequence are a1 =4 and a2= -2. Let a3 be the third term when the sequence is arithmetic and let b3 be t
stepan [7]

Answer:

a3 + b3 = -7

Step-by-step explanation:

When the sequence is A.P

a1 =4 and a2= -2

Common difference,d = a2 - a1

= -2 - 4

d = -6

a3 = third term

a3 = a1 + 2d

= 4 + 2(-6)

= 4 - 12

= -8

a3 = -8

When the sequence is geometric

a1 =4 and a2= -2

Common ratio, r = a2/a1

= -2/4

r = -1/2

Or

r = -0.5

b3 = third term

b3 = ar²

= 4 * (-1/2)²

= 4 * 1/4

= 4/4

= 1

b3 = 1

a3 + b3 = -8 + 1

= -7

a3 + b3 = -7

8 0
3 years ago
A rectangular, above ground swimming pool is 18 feet long, 9 feet wide, and 54 inches deep. One cubic foot of water weighs about
dybincka [34]
What is the total weight of the water in the pool when it is completely filled?

V = L * W * D
V = 18 * 9 * 54/12
V = 18 * 9 * 4.5
V =729  cubic feet

729 cubic feet of water times 62.4 pounds = 45489.6 pounds



3 0
3 years ago
If the area is 48 cm and the radius is of the circle is 4 cm then what is the central angle
Digiron [165]

Answer:

Step-by-step explanation:

Area of sector = (∅/360°) x πr²

Area of sector = 48cm²

radius = 4cm

π = 3.14

48 =  (∅/360°) x 3.14 x 4 x4

48 = (∅/360°)  x 50.24

48/50.24 =(∅/360°)

0.9554  = (∅/360°)

∅ = 0.9554 x 360 = 343.949≈343.95° ( these is when the angle is in degrees)

if it is radians

area of sector = 1/2r²∅

area of sector = 48

r = radius = 4

area of sector = 1/2r²∅

48 = 1/2 x 4 x4 x∅

48 = 2x4 x∅

48 = 8∅

∅ = 48/8 = 6 radians

the central angle in radians is 6

4 0
3 years ago
Read 2 more answers
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