Assume that y varies inversely as x. If y = -8 when x = -9, find y when x = 4. y = 18
y = 72
y = 4.5

Answers

Answer 1

Answer: y α 1/x

y = k/x Where k is the constant of proportionality.

xy = k Cross Multiplying.

k = xy

Recall y= -8 when x = -9

k = -9 * -8 = 72

Finding y when x = 4.

k = xy

72 = 4y Divide both sides by 4.

y = 72/4 = 18.

y = 18.

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What is the focal length of the parabola whose graph is shown? focus: (-3, 2.6) and directrix: (-0.6)

Answers

P=focal legnth is the distance from the focus to the vertex, which also is the disance from the directix to the vertex

therefor
distance from directix to focus=2 times focal legnth

find distance
horizontal distance
from y=-0.6 to y=2.6, that is distance ot 3 units
3/2=1.5
focal distance=1.5

Place 1/5 on the number line below .

Answers

right next to the zero van I heht brainleist please

A rectangle with an area of 24 square units has length x+1 and width 4x-6. find the value of x.

Answers

$area = length \cdot width \n \nA = 24 s^2 \n \n l=x+1 , \ \ w=4x-6 \n \n A=lw\n \n24 =(x+1)(4x-6)$

$24 =4x^2-6x+4x-6 \n \n4x^2-6x+4x-6 -24=0\n \n4x^2-2x-30=0 \ \ / :2\n \n2x^2-x-15=0 \n \na=2, \ b=-1 , c= -15$

$\Delta =b^2-4ac = (-1)^2 -4\cdot2\cdot (-15) = 1+120=121\n \nx_(1)=(-b-√(\Delta) )/(2a)=(1-√(121))/(2*2 )=( 1-11)/(4)=(-10)/(4)=- (5)/(2) \n \nx_(2)=(-b+√(\Delta) )/(2a)=(1+√(121))/(2*2 )=( 1+11)/(4)=(12)/(4)=3 \n \nUse \ positive \ value \ of \ x : \n \n x =3$

You own 6 hats and are taking 4 on vacation. In how many ways can you choose 4 hats from the 6?A. 15

B. 360

C. 1

D. 720

Answers

Answer:

Option B is the answer.

Step-by-step explanation:

I own 6 hats and i am taking 4 hats on vacations.

I have to find the number of ways that I can choose 4 hats out of 6.

In this question we will apply the combination rule.

So by combination rule number of ways to choose hats will be $^(6)C_(4)$

$^(6)C_(4)=(6!)/((6-4)!(4)!)$

$=(6* 5* 4!)/(2!* 4!)$

$=(30)/(2)$

=15

Therefore, option A. 15 will be the answer.

your answer is A. 15

Which of the following equations are equivalent? Select three options,2+x=5
X+1=4
9+x=6
X+(-4)=7
-5+x=-2

Answers

Answer:

2+x=5

x+1=4

-5+x =-2

Step-by-step explanation:

Set x equal to the number

x=3

x=-3

x=11

x=3

Answer:

A, B and E

Step-by-step explanation:

How can you tell when a quadratic equation has two identical, rational solutions?a) When the radicand is negative
b)When b in the quadratic formula is greater than the radicand
c)When the radicand equals zero
d)When the radicand is not a perfect square