What is the expanded form of 43x65

On a sheet of paper draw a Regular Hexagon with a Radius equal to 6 units.

-Dominant- [34]

Answer:

Show me the options

Step-by-step explanation:

3 0

3 years ago

Part 1: Identify the vertex, focus, and directrix of each. Then sketch the graph.

Lina20 [59]

Answer: $\bold{1.\quad \text{Vertex}:(4,-1)\qquad \text{Focus}:\bigg(4,-\dfrac{9}{8}\bigg)\qquad \text{Directrix}:y=-\dfrac{7}{8}}$

$\bold{2.\quad \text{Vertex}:(2,1)\qquad \text{Focus}:\bigg(\dfrac{9}{4},1\bigg)\qquad \text{Directrix}:y=\dfrac{7}{4}}$

<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 = -2(x - 4)² - 1 → a = -2 (h, k) = (4, -1)

$a=\dfrac{1}{4p}\quad \rightarrow \quad -2=\dfrac{1}{4p}\quad \rightarrow \quad p=-\dfrac{1}{8}\\\\\text{Focus = Vertex + p}\\\\.\qquad = \dfrac{-8}{8}+\dfrac{-1}{8}\\\\.\qquad =-\dfrac{9}{8}\qquad \rightarrow \qquad \text{Focus}=\bigg(4,-\dfrac{9}{8}\bigg)\\\\\\\text{Directrix: y=Vertex - p}\\\\.\qquad \qquad y=\dfrac{-8}{8}-\dfrac{-1}{8}\\\\.\qquad \qquad y=-\dfrac{7}{8}$

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

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

$a=\dfrac{1}{4p}\quad \rightarrow \quad 1=\dfrac{1}{4p}\quad \rightarrow \quad p=-\dfrac{1}{4}\\\\\text{Focus = Vertex + p}\\\\.\qquad = \dfrac{8}{4}+\dfrac{1}{4}\\\\.\qquad =\dfrac{9}{4}\qquad \rightarrow \qquad \text{Focus}=\bigg(\dfrac{9}{4},1\bigg)\\\\\\\text{Directrix: x=Vertex - p}\\\\.\qquad \qquad x=\dfrac{8}{4}-\dfrac{1}{4}\\\\.\qquad \qquad x=\dfrac{7}{4}$

6 0

3 years ago

If the estimate of expected population proportion having a desired characteristic based on intuition is 60 percent and the accep

Anika [276]

Answer:

B

Step-by-step explanation:

Our values are:

N = 100,000 (We assume it)

Proportion is p = 0.6

Margin of error (E) = 0.05

confidence-level (cl) = 0.95

Z-value = 1.96

We need to approach through Proportion,

$n=\frac{ (z_2 * p *q) + ME_2}{ME_2 + z_2 * p * q / N}$

Substituting,

$n = \frac{(1.962*0.6*0.4)+0.052}{0.052 + \frac{1.962 * 0.6 * 0.4}{100000}}$

$n= \frac{(3.841 * 0.24)+0.0025}{0.0025+\frac{3.841*0.24}{100000}}$

$n =\frac{ 0.9243}{0.002509}$

$n= 368$

3 0

3 years ago

-__y^2-[-5y-y(-7y-9)]-[-y(15y+4)]=0 please help I don’t know how to find the missing coefficient in the blank

Rama09 [41]

Hello,

if y≠0 then

$ay^2-[-5y-y(-7y-9)]-[-y(15y+4)]=0\\\\ay^2-[-5y+7y^2+9y]-[-15y^2-4y]=0\\\\ay^2+5y-7y^2-9y+15y^2+4y=0\\\\ay^2+8y^2=0\\\\(a+8)y^2=0\\\\a=-8\\\\\\$

4 0

3 years ago

Read 2 more answers

Plz give me 5 multiplication fractions with the answer

Law Incorporation [45]

(a/b)(c/d)=(ac/bd)

Therefore:
(5/4).(2/5)=(5*2)/(4*5)=10/20=1/2
(3/8).(-1/2)=(3*(-1)) /(8*2)=-3/16
(2/5)(5/2)=(2*5)/(5*2)=10/10)=1
(1/2)(1/3)=1/6
(-1/4)(-2/3)=[(-1)*(-2)] / (4*3)=2/12=1/6

5 0

4 years ago

Read 2 more answers