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3 years ago

4y -yPLEASE HELP ILL GIVE BRAINLIEST

Mathematics

2 answers:

Arisa [49]3 years ago

5 0

Answer: 3y

Explanation: 4y - y or 4y -1y
3y

vazorg [7]3 years ago

5 0

Answer:

Step-by-step explanation:

4y-1y=3y

y becomes 1y because y is equal to 1

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Part 2: Identify the vertex, focus, and directrix of each. Then sketch the graph.

Andre45 [30]

Answer: $\bold{1.\quad \text{Vertex}}:(-3,-6)\qquad \text{Focus}:\bigg(-3,-\dfrac{17}{4}\bigg)\qquad \text{Directrix}:y=-\dfrac{19}{4}$

2. Vertex: (-5, 4) Focus: (-6, 4) Directrix: x = -4

<u>Step-by-step explanation:</u>

The vertex form of a parabola is y = a(x - h)² + k or x = a(y - k)² + h

(h, k) is the vertex
p is the distance from the vertex to the focus
-p is the distance from the vertex to the directrix

$\bullet \quad a=\dfrac{1}{4p}$

1) y = (x + 3)² - 6 → a = 1 (h, k) = (-3, -6)

$a=\dfrac{1}{4p}\qquad \rightarrow \qquad 1=\dfrac{1}{4p} \qquad \rightarrow \qquad p=\dfrac{1}{4}\\\\\text{Focus = Vertex + p}\\\\.\qquad =\dfrac{-18}{4}+\dfrac{1}{4}\\\\.\qquad = -\dfrac{17}{4}\qquad \rightarrow \qquad \text{Focus}=\bigg(-3,-\dfrac{17}{4}\bigg)\\\\\\\text{Directrix: y = Vertex - p}\\\\.\qquad \quad y=\dfrac{-18}{4}-\dfrac{1}{4}\\\\.\qquad \quad y= -\dfrac{19}{4}$

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

$2.\quad x=-\dfrac{1}{4}(y-4)^2-5\qquad \rightarrow \quad a=\dfrac{1}{4}\qquad (h, k)=(-5,4)$

$a=\dfrac{1}{4p}\qquad \rightarrow \qquad -\dfrac{1}{4}=\dfrac{1}{4p} \qquad \rightarrow \qquad p=-1\\\\\text{Focus = Vertex + p}\\\\.\qquad =-5+\ -1\\\\.\qquad = -6\qquad \rightarrow \qquad \text{Focus}=(-6,4)\\\\\\\text{Directrix: y = Vertex - p}\\\\.\qquad \quad y=-5+\ -1\\\\.\qquad \quad y= -4$

7 0

4 years ago

66.

Naddik [55]

Answer: 530.66 units²

<u>Step-by-step explanation:</u>

$Area_{(circle)}=\pi r^2\qquad and\qquad r=\dfrac{diameter}{2}\\\\\\\implies Area_{(circle)}=\pi \bigg(\dfrac{diameter}{2}\bigg)^2\\\\\\\text{It is given that the diameter = 26:}\\A=\pi\bigg(\dfrac{26}{2}\bigg)^2\\\\\\.\quad =\pi \cdot 13^2\\\\\\.\quad =169\pi\\\\\\.\quad =\large\boxed{530.66}$

3 0

4 years ago

PLEASE HELP ASPAPSPPASPASPP

DanielleElmas [232]

A. n+12≤-8

B. n+(-8)>12

C. n-(-8)≤12

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3 years ago

Jake gets a 7% commission on every sofa he sells at bob’s furniture.today he sold a $900 Sofa and a $750 sofa. How much commissi

KATRIN_1 [288]

Answer: $115.5

Step-by-step explanation:

Total furniture sold = 900 + 750

=$1650

7% commission will be 7/100× $1650

=$ 115.5

6 0

4 years ago

I need help with this please ASAP!!!!!!!

ycow [4]

Answer:

2 in

Step-by-step explanation:

Square of 256 is 16.

16 divided by 8 (8 rows of squares on the board).

So, the side length of the small squares is 2 inches.

5 0

3 years ago

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