What is the equation of a parabola with a focus of (5,3) and a directrix of y=-3

Answer:

Multiplying by 7 should solve

Step-by-step explanation:

To isolate x and solve the equation you multiply both sides by 7. x/7 cancels out to just x and 5 becomes 35

Answer:

∠Y = 104°

Step-by-step explanation:

vertical angles are equal ⇒ ∠DAN = ∠SAY = 48°

Sum of interior angles of a triangle = 180°

⇒ ∠SYA + 56 + 48 = 180

⇒ ∠SYA = 76°

Angles on a straight line add up to 180°

⇒ ∠Y + ∠SYA = 180°

⇒ ∠Y + 76 = 180

⇒ ∠Y = 104°

Answer:

[tex]\cos\theta = \pm\frac{2\sqrt{2}}{3}\\\tan\theta=\pm\frac{\sqrt{2}}{4}[/tex]

Step-by-step explanation:

sinθ = 1/3

[tex]\cos\theta=\pm\sqrt{1-\cos^2\theta} = \pm\sqrt{1-\frac{1}{9}}=\pm\sqrt\frac{8}{9}=\pm\frac{2\sqrt{2}}{3}[/tex]

[tex]\tan\theta=\frac{\sin\theta}{\cos\theta}=\pm\frac{1}{2 \sqrt{2}}=\pm\frac{\sqrt{2}}{4}[/tex]

Answer:

Fahrenheit

Unit system Imperial/US customary

Unit of Temperature

Symbol °F

Named after Daniel Gabriel Fahrenheit

Step-by-step explanation:

hope it helps

Answer:

Step-by-step explanation:

Perimeter of the square is 24(4)=96.

Perimeter of the rectangle is 2(10+length)=96

10+length=48

length=38 m

Area of the square is 24^2 = 576.

Area of the rectangle is 10 * 38 = 380

So the square has an area 196 m^2 greater.

Answer:

what equation? I don't see anything

Answer:

Step-by-step explanation:

did you mean to add a picture?

Answer:

Trigonometry : Law of Sines

Step-by-step explanation:

Have a good day :)

Answer:

1 can of fruit A and 1 can of Fruit B

Step-by-step explanation:

3 + 1 : 5 + 4

= 4 : 9

Answer:

1 can of juice A + 1 can of juice B

Step-by-step explanation:

Juice A

mango : strawberry = 3 : 5

Juice B

mango : strawberry = 1 : 4

Juice C

mango : strawberry = 4 : 9

⇒ 1 can of juice A + 1 can of juice B = 3 + 1 : 5 + 4 = 4 : 9

Answer:

WY = 28

XYZ = 70

WXZ = 55

Step-by-step explanation:

Hope this helps! Pls give brainliest!

1 because 17-8=9, and 9/9= 1

Answer:

68

Step-by-step explanation:

anglex and angle 22 are complementary angles, so they add up to 90.

22+x=90

90-22=68

Hope this helps!

Answer:

Step-by-step explanation:

Answer:

50.24 units^2

Step-by-step explanation:

I'm assuming what half line means is radius so radius is 4.

The area formula is πr^2.

π(4)^2

3.14(4)^2

3.14x16=50.24

Area= 50.24 units^2

Using a system of equations, it is found that:

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are A and B.

51.5% of 227 million eligible voters voted, hence, considering millions as the unit measure:

A + B = 0.515 x 227

A + B = 117.

The equation for A in terms of B is given by: A = 117 - B.

Candidate A won the popular vote by 4.8 million votes, hence:

A = B + 4.8.

B + 4.8 = 117 - B

2B = 112.2

B = 61.1.

A = 61.1 + 4.8 = 65.9.

Then:

More can be learned about a system of equations at https://brainly.com/question/24342899

The decision-maker is advised to use three dummy variables. The rule of thumb states that it is better to use lesser dummy variables than the categories being investigated. In this case, the categories are four - North, South, East, and West.

This is a statistical term that refers to a factor that is characterized with the value of one or zero in order to explain the presence of absence of an effect that is categorized.

This is used mainly in regression analysis.

See the link below for more about dummy variables:

https://brainly.com/question/4528945

Answer:

x ≤ 2

Step-by-step explanation:

refer the image thank you

Answer: he can only buy 2

Step-by-step explanation: if he buys 3 it would cost 560.46

303.93 + 10.99 + 25.25 + 73.43 = 413.6

413.6 + 73.43 = 287.03

287.03 + 73.43 = 560.46

Answer:

i simplify

Step-by-step explanation:

Answer:

[tex]\huge\boxed{(12,80),(10,65)}[/tex]

Step-by-step explanation:

The line given has a slope of 7.5 and a point at (12, 80)

Because of the slope, simply subtract 2 from the x and subtract 15 from the y to get another point, at (10, 65)

Thus, simply put your points at (10, 65) and (12, 80)

Hope it helps and let me know if you want me to elaborate.

Answer:

I did the whole thing

Step-by-step explanation:

How you do them is you just take each number, and multiply by the number that both fractions can multiply into. I showed how in the picture.

Answer:

1.23

30

2.24

35

3.25

36

4.11

10

5.13

14

6.662

1143

7.19

15

8.11

12

Step-by-step explanation:

tama po ba answer ko

Answer:

Step 1. A=4

Step 2. Ib =3

Step 3 add it. Ans=7

Answer:

Yes, because [tex]x(x -4)[/tex] is equivalent to [tex]x^2-4x[/tex]

Step-by-step explanation:

[tex]x(x -4)[/tex] and [tex]x^2-4x[/tex]

[tex]x(x -4) = x^2 - 4x[/tex]

Hope this helps!

Answer:

Answer:

1632 cm³

Step-by-step explanation:

½(12×8)×34

= 1632

Step-by-step explanation:

Answer:

[tex]f(x) = \dfrac14(x + 1)^2(x + 3)(x -2)( x - 3)[/tex]

Tia is correct

Step-by-step explanation:

From inspection of the graph, we can say that the leading coefficient of the function is positive as:

[tex]f(x) \rightarrow - \infty, \textsf { as } \ x \rightarrow - \infty\\f(x) \rightarrow +\infty, \textsf { as } \ x \rightarrow + \infty[/tex]

From inspection of the graph, we can see that the curve intercepts the x-axis at x = -3, x = 2, x = 3

As the curve touches the x-axis at (-1, 0) then this means that the root x = -1 has multiplicity 2

Therefore, [tex]f(x) = a(x + 1)^2(x + 3)(x -2)( x - 3)[/tex] where [tex]a[/tex] is some positive constant.

If we multiply the constants, we can determine the y-intercept:

y-intercept = a x 1² x 3 x -2 x -3 = 18a

Therefore, the y-intercept is at y = 18a

From inspection of the graph, the y-intercept is at y = 4.5

So to determine the value of a:  18a = 4.5 ⇒ a = 1/4

Therefore, the fully factored form of the equation is:

[tex]f(x) = \dfrac14(x + 1)^2(x + 3)(x -2)( x - 3)[/tex]

Answer:

16

Step-by-step explanation:

Let the opening price be x

So the amount of gained will be $16.68 - $x

Next, this value correspond to 4.25% of the opening price of the stock which is x

Thus,

[tex]4.25[/tex]% of [tex]x = 16.68 - x[/tex]

[tex]\frac{4.25}{100} * x = 16.68-x[/tex]

Cross multiply

[tex]4.25x = 100(16.68-x)[/tex]

[tex]4.25x = 1668 - 100x[/tex]

[tex]100x + 4.25x = 1668[/tex]

[tex]104.25x = 1668[/tex]

[tex]x = \frac{1668}{104.25}[/tex]

[tex]x = $16[/tex]

Check Answer:

$16 x 4.25%=.68

$16 + .68 = 16.68

Hence, x = 16 is correct

[RevyBreeze]

The opening price of the stock in the beginning of the day was

Percentage is defined as the parts of a number per fraction of 100. We have to divide a number with it's whole and then multiply with 100 to calculate the percentage of any number.

So the percentage actually means a part per 100.

Percentage is usually denoted by the symbol '%'.

Given that,

The stock of Company A gained 4.25% today to $16.68.

We have to find the opening price of the stock in the beginning of the day.

Let the opening price be x.

x + 4.25% of x = 16.68

x + (4.25/100 x) = 16.68

x + 0.0425x = 16.68

1.0425x = 16.68

x = 16

Hence the opening price of the stock was $16.

Learn more about Percentage here :

https://brainly.com/question/30059949

#SPJ2

Answer:

equation= y-y¹=m(x-x¹)

where m= gradient or slope

slope = y²-y¹

x²-x¹

= -5-7

-2-4

-12

-6

= 2

equation= y-7=2(x-4)

y-7=2x-8

y= 2x-8+7

y=2x-1

Answer:

Her take home pay is $2359.78

The percentage is approximately 82.77%

Step-by-step explanation:

Gross is the full before tax or whatever.

$2851 - $491.22 = $2359.78

$2359.78 / $2851 = 0.827702

$2851 - $491.22 = $2359.78

$2359.78 / $2851 = 0.827702

so the answer is 0.827702

Answer:

324 square feet (or whatever you call it i don't use feet and inches lol)

Step-by-step explanation:

We gotta divide this into a trapezoid and a rectangle.

the rectangle part is easy which is 6x18=108

Then the trapezoid

b1=6 b2=18 h=18

6+18=24

24x18=432

432/2=216

now we add them 216+108=324

Answer:

54

Step-by-step explanation:

3 hours = 180 minutes

20 mins = 6 problems

180 mins = ?

[tex]6 \times \frac{180}{20} [/tex]

Answer = 54 Math problems

Answer:

54 math problems

Step-by-step explanation:

1.   3 hours = 180 min

2.   20/6 = 180/x

3.   180 x 6 = 1,080

4.   1,080 = 20x

5.   1,080 ÷ 20 = 54

Riley can complete 54 math problems in 3 hours.