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Hitman42 [59]
3 years ago
13

A parabola has a vertex at (4, 0) and passes through the point (6, 1). What is the equation of the parabola?

Mathematics
1 answer:
Alekssandra [29.7K]3 years ago
7 0
We are given the vertex of  a parabola equal to (4, 0) and that the passes the point (6,1). In this case, it is assumed from the given that the parabola is facing upwards. In this case, the equation is (y-k) = 4a (x-h)^2 ; y = 4a (x-4)^2 when x is 6 and y is 1. then, 
 1 = 4a (6-4)^24a is equal to 1/4
the equation then is y = 1/4 (x-4)^2
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executive committee consists of 15 ​members: 7 men and 8 women. 5 members are selected at random to attend a meeting in Hawaii.
larisa [96]

Answer:

1over3

Step-by-step explanation:

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7 0
3 years ago
Wite a numerical expression for the below problems. Simplify the expressions.
ziro4ka [17]

Answer:

1) 9

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Step-by-step explanation:

For the first one, it would be

= (6×3)/2

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The second one is,

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4 0
2 years ago
Simplify: (sin θ − cos θ)^2 − (sin θ + cos θ)^2 A) −4sin(θ)cos(θ) B) 2 C) sin^2 θ D) cos^2 θ
N76 [4]

Answer:

-4sinθcosθ

Step-by-step explanation:

Note:

1. (a + b)^2 = a^2 + 2ab + b^2

2. (a - b)^2 = a^2 - 2ab + b^2

3. sin^2θ + cos^2θ = 1

(sinθ -cosθ)^2 - (sinθ + cosθ)^2

= sin^2θ - 2sinθcosθ + cos^2θ - (sin^2θ + 2sinθcosθ + cos^2θ)

= sin^2θ + cos^2θ - 2sinθcosθ - (sin^2θ + cos^2θ + 2sinθcosθ)

= 1 - 2sinθcosθ - (1 + 2sinθcosθ)

= 1- 2sinθcosθ -1 - 2sinθcosθ

= - 2sinθcosθ - 2sinθcosθ

= -4sinθcosθ

3 0
3 years ago
Given Δ XYZ ≅ Δ EGF, find the measurements of the unknown sides and angles.
mamaluj [8]
The two triangles are similar and equal therefore; It means the corresponding sides are equal and the corresponding angles are equal. Hence;
 ZX=EF, thus,ZX = 1.3 in. 
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m∠ G = m∠Y, and angles in a triangle add up to 180 thus;
  m ∠ G=180- (107 +48) = 25°

6 0
3 years ago
Read 2 more answers
What is the solution of the system? Use substitution.<br><br> y = 6x + 2<br> 3y - 18x = 12
kicyunya [14]
3(6x+2)-18x=12 (y=6x+2, so you plug in 6x+2 into the y in 3y-18x=12)
18x+6-18x=12    (Then you distribute the 3 to the 6x and to the 2)
6=12                    (Combine like terms 18x-18x)

There is no solution. Hope this helps and makes sense.


5 0
2 years ago
Read 2 more answers
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