Which is the graph of the equation
(x-1)^2/3^2+y^2/4^2=1
?

A.
A

B.
B

C.
C

D.
D

Answer:

A

Step-by-step explanation:

Using the sine ratio on the right triangle on the right to find x

sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{70}[/tex] ( multiply both sides by 70 )

70 × sin30° = x , thus

x = 35

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Using the sine ratio on the right triangle on the left to find y

sin42° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{y}[/tex] = [tex]\frac{35}{y}[/tex] ( multiply both sides by y )

y × sin42° = 35 ( divide both sides by sin42° )

y = [tex]\frac{35}{sin42}[/tex] ≈ 52.3 ( to the nearest tenth ) → A

Answer:

y = 52.3.

Step-by-step explanation:

Consider the larger triangle on the right:

sin 30 = x / 70

x = 70 sin 30 = 70 * 0.5

= 35.

So, considering the small triangle:

Sin 42 = 35/y

y * sin 42 = 35

y = 35 / sin 42

y = 52.3.

Answer:

1222222222

Step-by-step explanation:

Answer:

is this including an appatizer fork? if not, then it's 1/1 if it is then it's 1/2

Step-by-step explanation:

Answer:

C. 9.6ft

D. Angle M

Step-by-step explanation:

Height of smaller surfboard = [tex]\frac{12}{4}[/tex] × 3.2ft

                                              = 9.6ft

If you flip ABCD over, the positions of the angles that are corresponding to each other would be the same, so the angle that would correspond with Angle D would be Angle M since both would be at the top right.

Answer:

Following are the solution to the question:

Step-by-step explanation:

The probability of virus  P(V) =0.32  

No virus  P(NV) =0.66

Patient testing of negative P(TN) = virus, and negative testing+no virus and negative testing

[tex]=0.32(1-0.992)+0.66 \times 0.979 \\\\=0.00256+0.64614\\\\=0.6487[/tex]

This is why the likelihood of a patient being free of the virus is negative.

[tex]= \frac{P(NV) \times\ tested \ negative }{P(TN)}[/tex]  

[tex]= \frac{0.66 \times 0.979}{0.6487}\\\\= \frac{0.64614}{0.6487} \\\\=0.996053646[/tex]

Answer:

3/4 or 45 minutes each

Step-by-step explanation:

3 hours are equivalent to 180 minutes which you can then divide by 4. 180/4=45. 45/60 when simplified completely equals 3/4 of an hour

Answer:

Step-by-step explanation:

The sum of two complementary angle is 90 degrees. Given the following complementary angles;

<1 = 6x + 5

<2 = 8x + 15

<1 + <2 = 90 (complementary angles)

6x + 5 + 8x + 15 = 90

14x + 20 = 90

14x = 90-20

14x = 70

x = 70/14

x = 5

Hence the measure of x is 5

Answer:

y=3x+2

Step-by-step explanation:

Answer:

y=3x+2

Step-by-step explanation:

facts: slope is m, and b is y-intercept

y=3x+2

hope this helps!

Answer:

you can calculate it like two rectangle volume

Answer:

1

Step-by-step explanation:

Answer:

10 miles

Step-by-step explanation:

I hope this helps!

Answer:

It’s A. (5,6,8)

Answer:

Step-by-step explanation:

It is stated that a function rule takes an input, and converts it into an output, y, by decreasing twice the input by 4.

Let 'x' be the number

Decreasing twice the number 'x' by 4 = 2x-4

Now,

Given the input x = 5

As the output will decrease twice the input (x=5) by 4

Thus, the output = 2(5)-4 = 10-4 = 6

Therefore,

Answer:

For a 200 mile journey, 55.5 liters of fuel

is needed

Step-by-step explanation:

Here, we want to estimate the fuel needed for a 200 mile journey

we can use this by having an average

By adding all and dividing by 6

Mathematically, that will be;

(24 + 59 + 44 + 50 + 59 + 97)/6

= 55.5

The reason for this is because if we added all the lengths and divide by 6, what we get is 200

Thus, if we added the liters of fuel used per each and divide by 6, we can have an estimate for a 200-mile journey

Answer:

2x+9

Step-by-step explanation:

Answer:

confused on what you are asking

Step-by-step explanation:

Hey friend!

The slope of your line is gonna be [tex]\frac{2}{3}[/tex].

The rise from one point to the next is 2, and the run is three.

I hope this answer helped you,

Yours Truly,

~TheQueenOfBrainly

Answer:The answer is 1/6

Step-by-step explanation:1/8 miles in 3/4 minutes

then, that means in 1 minute ( 1 min = 3/4 * 4/3) Emma will ride a distance of (1/8)*(4/3)= (1*4)/(8*3)= 1/6.

The answer is 1/6 (in 1 min she will ride 1/6 miles).

Answer:

3:12

Step-by-step explanation:

3 + 2 + 7 = 12

3 = red marbles

12 = total marbles

Answer:

Probability of both red =3(182)=3(18!2!16!)=3153

Step-by-step explanation:

Let Ai be the event in which the i-th ball you grab is red. For the first ball you choose, you have 3 red marbles out of a total of 18. Therefore,

P(A1)=318.

For the second marble you grab, given that you already took a red one, that is, given A1, you have 2 red balls out of a total of 17, then

P(A2∣A1)=217.

Finally,

P(A1∩A2)=P(A1)P(A2∣A1)=318217=151.

Step-by-step explanation:

Lets find out,shall we?

Simple interest=(PRT)/100

=$1000×12×3)/100

=$360

Now for compound interest

A=P(1+R/100)^t

A=$1000(1+12/100)^3

A=$1404.928

so interest for compound interest=$(1404.928-1000)=$404.928

Clearly,Robin got more interest by compound interest than simple interest which business people understand lol.

Difference in interest=$404.928-360=$44.928

Answer: 16,250 units.

Step-by-step explanation:

This is a linear function which means that it takes the form of y = mx + c.

Y is the demand

X is the price

Find m.

= (Y₂ - Y₁) / (X₂ - X₁)

= (15,000 - 20,000) / (60 - 40)

= -250

Find c using substitution;

20,000 = -250 * 40 + c

20,000 = -10,000 + c

c = 20,000 + 10,000

c = 30,000

Linear function is;

y = -250x + 30,000

If selling price is $55;

y = -250 * 55 + 30,000

y = 16,250 units.

The demand is 17000 units when the selling price is $55 per unit

A linear equation is in the form:

y = mx + b

where y, x are variables, m is the rate of change and b is the initial value of y.

Let Q represent the demand and P represent the selling price.

20000 units for selling price of $40, hence (40, 20000). 16000 units for selling price of $60, hence (60, 16000).

Hence:

[tex]Q-Q_1=\frac{Q_2-Q_1}{P_2-P_1}(P-P_1)\\\\Q-20000=\frac{16000-20000}{60-40}(P-40)\\\\Q=-200P+28000[/tex]

For P = 55 unit:

W

Q = -200(55) + 28000 = 17000

The demand is 17000 units when the selling price is $55 per unit

Find out more on linear equation at: https://brainly.com/question/14323743

Answer:

45

Step-by-step explanation:

5 times 5 is 25 plus 20 is 45 hope this helps

Step-by-step explanation:

p(R)=18/48 is the probability of the question

Answer:.

m= 116 degrees

a=41 degrees

Step-by-step explanation:

Explaination: add 89+50+64 = 203

the line that m is on should equal 180. so subtract 64 from 180 and you get 116 degrees. then add 89+50+64+116=319

360-319= 41

the whole polygon should equal 360 degrees

Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

10x + 10 and 110 are vertical angles and are congruent, thus

10x + 10 = 110 → D

Subtract 10 from both sides

10x = 100 ( divide both sides by 10 )

x = 10

Answer:

The answer is below

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are dilation, reflection, translation and rotation.

Given the vertices A (-4,3) B(-1,5) and C (-1,2).

If the vertices is reflected across the y = -1 line, the new location would be at:

A' (-4, -5). B'(-1, -7) and C'(-1, -4)

If it is then translated 8 units to the right i.e. (x, y) ⇒ (x + 8, y), the new location would be at:

A"(4, 5), B"(7, -7) and C"(7, -4)

======================================================

Explanation:

Check out the diagram below

I drew a rectangle with dimensions 56 ft by 78 ft.

Then I broke up the 56 into 50+6, and I broke up the 78 into 70+8

The reason for this is because it's fairly easy to multiply the areas of each smaller rectangle at this point

Add up all the areas found: 3500+420+400+48 = 4368

As a way to check, using your calculator shows that 56*78 = 4368