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2 years ago

Find the focus of the parabola whose vertex is at the origin and whose directrix is x = 3.

Mathematics

1 answer:

defon2 years ago

6 0

Answer:

Step-by-step explanation:

Vertex is halfway between focus and directrix, so focus is (-3,0).

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What's the solution to the system of equations below. Hurry please!!!

tatiyna

Answer:

infinatly many solutions

Step-by-step explanation:

x can equal anything and still be correct.

4 0

2 years ago

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Write down the indicated trigonometric value and write as decimal and round to thousandths place

mestny [16]

The trigonometric values for a right triangle can be obtained through the measurements of the different sides,

$\begin{gathered} sin(\theta)=\frac{op}{hyp} \\ cos(\theta)=\frac{ad}{hyp} \\ tan(\theta)=\frac{op}{ad} \end{gathered}$

this can be found in a triangle like this,

then, identify the measurements in the given triangle

then,

$\begin{gathered} sin(A)=\frac{10}{26}=\frac{5}{13} \\ cos(A)=\frac{24}{26}=\frac{12}{13} \\ tan(A)=\frac{10}{24}=\frac{5}{12} \end{gathered}$

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1 year ago

Poonam is five times as old as Shalini. The sum of their ages is 72

Elden [556K]

Answer:

Shalini = 12

Poonam = 60

Step-by-step explanation:

Let p = poonams age

Let s = shalini's age

p = 5s

p+s = 72

Substitute the first equation into the second equation

5s+s = 72

Combine like terms

6s= 72

Divide by 6

6s/6 = 72/6

s = 12

p = 5s =5*12 = 60

Shalini = 12

Poonam = 60

4 0

3 years ago

The length f a rectangle is 3 ties its width, the perimeter of it is 24cm. what is the area of it?

andreyandreev [35.5K]

Answer: 27cm²

Step-by-step explanation:

lets take the width as x and length as 3x( since length is 3 times the width)…

Perimeter of the rectangle is 24 cm( 2*(l+b))= 2×(3x+x):24

2×4x=24

8x=24

X( width): 24/8=3cm

Length= 3x: 3*3=9cm

Area of the rectangle: ( l*w)= 9×3: 27cm²

7 0

3 years ago

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The volume of a can of Pepsi is 0.33liter. There are 12 cans in 1 carton

marusya05 [52]

Answer:

19 liters 800 milliliters

Step-by-step explanation:

0.33 * 12 * 5 = 19.8 liters

6 0

1 year ago