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3 years ago

The ratio of boys to girls in Amy’s dance class is 1:3. If the

Mathematics

1 answer:

MrMuchimi3 years ago

4 0

Answer:

Step-by-step explanation:

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Can anyone tell me the standard form of this parabola equation?

irina [24]

Answer:

$x=4y^2-24y+30$

$(x-4.5)^2+(y-2.5)^2=23$

Step-by-step explanation:

Standard form of a sideways parabola: $x=ay^2+by+c$

Given equation:

$4y^2-x-24y+30=0$

Add x to both sides:

$4y^2-24y+30=x$

$\implies x=4y^2-24y+30$

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

<u>Standard form of circle equation</u>

$(x-a)^2+(y-b)^2=r^2$

(where (a,b) is the center and r is the radius)

Given equation:

$2x^2+2y^2-18x-10y+7=0$

Group like terms:

$2x^2-18x+2y^2-10y+7=0$

Divide by 2:

$x^2-9x+y^2-5y+3.5=0$

Factor by completing the square for each variable:

$(x-4.5)^2-20.25+(y-2.5)^2-6.25+3.5=0$

Rearrange into standard form:

$(x-4.5)^2+(y-2.5)^2=23$

Therefore, the circle has a center at (4.5, 2.5) and a radius of √23

7 0

2 years ago

Greenwood Nail Salon is having a special this month on services. Over the weekend, they

ololo11 [35]

Yes it’s true he has a 39% for each service

7 0

3 years ago

The coordinates of a point on a coordinate grid are (?1, 5). The point is reflected across the x-axis to obtain a new point. The

4vir4ik [10]

D. (?1, ?5) because it is only reflected across the x-axis, so it only effects the Y coordinates.

5 0

3 years ago

Im sorry for so many questions but i need help badly.

vlada-n [284]

The ratio of the circumference to the diameter is defined as pi
pi=circumference/diameter
that is how they got pi
in this question it woul be 15.7/5 which would be 3.14,

c=2pir
a=pir^2

c=2pir=16pi
divide both sides by 2pi
r=8

a=pir^2
a=pi8^2
a=pi64
a=64pi in²

5 0

3 years ago

Please help!!! ill mark brainliest

Vesnalui [34]

3x - 1 = 3x + 1

subtract 3x from both sides to get (-1 = 1). This is a false statement so it is: CONTRADICTION

************************************************

4x - 11 = 7

add 11 to both sides and then divide both sides by 4 to get $(x = \frac{18}{4} = \frac{9}{2})$ . This statement is true only when x = $\frac{9}{2}$ so it is: CONDITIONAL

*************************************************

2 - 8x = 2 - 8x

add 8x to both sides to get (2 = 2). This is a true statement so it is: IDENTITY

*************************************************

x + 1 = -x + 4

add x to both sides, subtract 1 from both sides, and divide both sides by 2 to get $(x = \frac{3}{2} )$ . This statement is true only when x = $\frac{3}{2}$ so it is: CONDITIONAL

Answer: B, A, C, A

6 0

3 years ago