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2 years ago

Write the formula for the parabola.

Mathematics

1 answer:

Talja [164]2 years ago

3 0

Answer:

Given the focus (h,k) and the directrix y=mx+b, the equation for a parabola is (y - mx - b)^2 / (m^2 +1) = (x - h)^2 + (y - k)^2.

Step-by-step explanation:

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Y=-x^2+8<br> y= =3/4x– 3

Dmitrij [34]

Answer:

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1 year ago

Twice the sum of a number and 3 times a second number is 4. The difference of ten times the seco

34kurt

Two numbers that gives twice the sum of a number and 3 times a second number is 4. The difference of ten times the second number and five times the first is 90 are -10 and 4

Given :

Twice the sum of a number and 3 times a second number is 4. The difference of ten times the second number and five times the first is 90.

Let a and b be the two unknown numbers

Lets frame equation using the given statements

Twice the sum of a number and 3 times a second number is 4.

$2(a+3b)=4\\a+3b=2$

the difference of ten times the second number and five times the first is 90

$10b -5a=90\\Divide \; by \;5 \\2b-a=18$

Now use these two equations to solve a and b

$a+3b=2\\-a+2b=18$

Add both the equations

$a+3b=2\\-a+2b=18\\--------------------------\\5b=20\\b=4$

Now find out 'a'

$a+3b=2\\a+3(4)=2\\a+12=2\\a=2-12\\a=-10$

The two numbers are -10 and 4

Learn more : brainly.com/question/13856304

4 0

2 years ago

Could you help me plz

Nadya [2.5K]

Answer:

Step-by-step explanation:

(For a circle)

Circumference formula: π*2r

Area formula: π*r^2

π*2(3) =>6π=>18.84 m

π*(3)^2=>9π=>28.27 m^2

π*2(3.1)=>6.2π=>19.47 m

π*(3.1)^2=>9.61π=>30.19 m^2

6 0

2 years ago

Duncan shares 20 percent of all of his his sales commissions with his personal assistant. If Duncan earns x dollars in commissio

andrezito [222]

The correct equation that models for this problem is x over y or x/y.
Let the following values be:

x - would be the money or commissions that Duncan earned.
y - would be the 20 percent that he gives his assistant

5 0

3 years ago

Read 2 more answers

Find the values of x and y.

vova2212 [387]

Look at the picture.

We have the equation (1) 12x + 4y = 40.

We know, the sum of the acute angles in a right triangle is 90°.

Therefore we have the equation (2) (12x + 4y) + (17x - y) = 90

Substitute (1) to (2):

40 + 17x - y = 90 <em>subtract 40 from both sides</em>

17x - y = 50 (3)

We have the system of equations:

$\left\{\begin{array}{ccc}12x + 4y = 40&|:4\\17x-y=50\end{array}\right\\\underline{+\left\{\begin{array}{ccc}3x + y = 10\\17x-y=50\end{array}\right}\ \text{add both side of equations}\\.\qquad20x=60\qquad|:20\\.\qquad x=3$

Substitute the value of x to (3)

$17(3)-y=50\\51-y=50\qquad|-51\\-y=-1\to y=1$

Answer: x = 3 and y = 1.

4 0

2 years ago