find the value of y for the given value of x y = 5x +9 ; x=2​

Let's suppose that the hole is at y = 0m, where x is the time variable.

we know that:

The vertex is (-1s, 8m).

(i suppose x in seconds and y in meters)

At x = 1s, the ball reaches the hole, so we also have the point:

(1s, 0m).

Remember that the vertex of a quadratic equation y = a*x^2 + b*x + c is at:

x = -b/2a,

then we have:

-1 = -b/2a.

Then we have tree equations:

8m = a*(-1s)^2 + b*-1s + c

0m = a*(1s)^2 + b*1s + c

-1s = -b/2a.

First we should isolate one variable in the third equation, and then replace it in one of the other two:

1s*2a = b.

So we can replace b in the first two equations bi 1s*2a.

8m = a*1s^2 - 1s*2a*1s + c

0m = a*1s^2 + 1s*2a*1s + c

We can simplify both equations and get:

8m = a*( 1s^2 - 2s^2) + c = -a*1s^2 + c.

0m = a*(1s^2 + 2s^2) + c = a*3s^2 + c.

Easily we can isolate c in the second equation and then replace it into the first equation:

c = -a*3s^2

The first equation becomes:

8m = -a*1s^2 - a*3s^2 = -a*4s^2

a = 8m/-4s^2 = -2m/s^2.

Now with a, we can find the values of c and b.

c = -a*3s^2 = -(-2m/s^2)*3s^2 = 6m.

b = 1s*2a = 1s*(-2m/s^2) = -2m/s.

Then the equation is:

y = (-2m/s^2)*t^2 + (-2m/s)*t + 6m

Answer: 5x4=20

And 5+4=9

Step-by-step explanation:

The required two numbers are 4 and 5.

"It is a statement which consists of equal symbol between two mathematical expressions."

For given example,

We need to find two number such that if multiply then we get 20 and add to get 9.

Let 'a' and 'b' be two numbers.

According to given conditions,

a × b = 20                .........................(i)

a + b =9                    .......................(ii)

So, from given conditions we have two equations (i) and (ii).

From equation (ii) we have,

a = 9 - b                    ...............(iii)

Substitute above value of 'a' in equation (i),

⇒ (9 - b) × b = 20

⇒ 9b - b² = 20

⇒ b² - 9b + 20 = 0

Now we solve this quadratic equation to find b.

⇒ b² - 9b + 20 = 0

⇒ b² - 5b - 4b + 20 = 0

⇒ (b - 5) (b - 4) = 0

⇒ b = 5 or   b = 4

Find the value of 'a' from equation (iii)

When b = 5

⇒ a = 9 - 5

⇒ a = 4

When b = 4

⇒ a = 9 - 4

⇒ a = 5

Therefore, the required two numbers are 4 and 5.

Learn more about equation here:

https://brainly.com/question/13170101

#SPJ2

Answer:

30

Step-by-step explanation:

15/20 is 75%

75% of 40 is 30

Answer:

a=33 ( vertically opposite angles)

a+90=b( sum of opposite interior angle is equal exterior angle)

33+90 = b

b=123

Answer:

The answer is 12. Hope this helped :-)

Step-by-step explanation:

60% of 20

6.2=12

Answer:

3.8 x 4.5

+

3.8 x 5.1 divided by 2!

Step-by-step explanation:

You can turn it into 2 squares, or follow the hints!

Answer:package 3

Step-by-step explanation:

Hope I am right it is there cheapest

Answer:

They want you to recognize that you can make 2 equations that both are equal to P.... the perimeter.... and then set them equal to each other and solve for x  .. as below

Step-by-step explanation:

P = 8x-10

P = 4x

4x = 8x-10

10 = 4x

2.5 = x

Answer:

x = - 1

Step-by-step explanation:

Given

- 5x + 35 = 40 ( subtract 35 from both sides )

- 5x = 5 ( divide both sides by - 5 )

x = - 1

I'll help

The sum of the prices for the items(That's 2large baskets and small gift baskets) for the first customer is $57. So assuming the price of a large basket is x and small basket is y, then an expression for the first sentence is;

2x + 5y= 57

The sum of the prices for the second customer is $6 less than the first customer ( that's 57-6 which is $51). Since he bought 1 large basket and 10 small baskets and the price of each large basket is the same and the price of each small basket is the same they assume the same variable of x and y. So the expression of the second sentence is;

x+10y=51.

So the expressions will be;

2x+5y=57

x+10y=51

That's Option C

Answer:

eighty four 84 84 84 84 84

Answer:

84

Step-by-step explanation:

Answer:

2.68 × [tex]10^{26}[/tex] Km³

Step-by-step explanation:

Using the given formula for volume V, then

V = [tex]\frac{4}{3}[/tex] π × (4 × [tex]10^{8}[/tex] )³

  = [tex]\frac{4}{3}[/tex] π × 4³ × ([tex]10^{8}[/tex] )³

 = [tex]\frac{4}{3}[/tex] π × 64 × [tex]10^{24}[/tex]

 = 268 × [tex]10^{24}[/tex]

 = 2.68 × 10² × [tex]10^{24}[/tex]

 = 2.68 × [tex]10^{26}[/tex] Km³

Answer:

x = 6.91 hope this helps pls lmk

Answer:

1a. 64=4(7+x)

1b. x=9

2a. 64=7+4x

2b. x=57/4

Step-by-step explanation:

1a. To represent this situation, all of the weight for each package must be in the equation. Since each package has 4 boxes, and only the objects in one box are detailed, everything must be multiplied by 4. Now, the values that must be multiplied by 4 are a bag of rice and beans. Since the beans weigh 7 pounds, they can be represented using the constant 7, and the rice can be represented with the variable x. Combining all of this information, the equation 64(total)=4(7+x)

1b. Now, the equation above must be solved. First, divide both sides by 4 in order to get 16=7+x. Now, subtract 7 from both sides to find that x=9

2a. This problem is similar to the first problem, except instead of multiplying both the beans and rice by four, only the rice needs to be multiplied. With this knowledge the equation 64=7+4x is created.

2b. To solve the above equation, 7 must be subtracted from both sides. This leaves 57=4x. Now, both sides must be divided by 4, giving the final answer of x=57/4.

Answer:

1a. 64=4(7+x)

1b. x=9

2a. 64=7+4x

2b. x=57/4

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

12 divided by 4 equals 3

Hope this helped!! :)

Brainliest?!?!

Answer:

x = -4

Step-by-step explanation:

17 - 4x = 33

Subtract 17 from each side

17-17 - 4x = 33-17

-4x = 16

Divide each side by -4

-4x/-4 =16/-4

x = -4

Answer: -11/12

Step-by-step explanation:

Answer:

-5/4

Step-by-step explanation:

rise/run = -5/4

hope this helps <3

Answer:

-5/4

calculator lol (and rise over one)

Answer:

H:  It will stretch the same spring 1,840 cm because the equation is y equals 5x.

Step-by-step explanation:

800=y

160and368=x

You find the answer by dividing,

800 divided by 160 equals 5 which means the equation is y equals 5x

and 368x5=1,840

also, do you go to college park?

Answer:

6 x

Step-by-step explanation:

The picture below has the steps

Answer: 10 sq units

Step-by-step explanation:

3 + 4.5 + 0.5 + 2 = 10 sq units

Answer:

Well, there are 4 quadratic spots on the graph. A(1,3) would be in the top right. B(0,-3) would be on the line on the bottom half of the graph. C(-4,-2) would be in the left bottom half of the graph. and D(-11/4,2) would be in the top right. Connect the dots and just say the shape it makes.

Step-by-step explanation:

Answer:

they are dependent

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

plug in the variables into the equation

(x,y)

(-1,2)

2(-1)+2=2

2*-1=-2

-2+2=0

2 does not equal 0 so therefore no, it is not a solution

Answer: i know this already is late but ,8 13 18 just adding 5

Step-by-step explanation:

Answer:

45 degrees / 2 miles

Step-by-step explanation:

All the sides are equivalent, therefore each side has the same value.

Hopefully this helped you make sure to make it brainliest! :D

Answer:

Step-by-step explanation:

2√2

Answer:

5 3/4

Step-by-step explanation:

I have this problem too and in the same website too. It told us the total length of all of the flowers, so we add 1/8 + 1/4 + 3/8 + 3/8 + 3/8 + 3/8 + 1/2 + 1/2 + 5/8 + 5/8 + 3/4 + 7/8 and it was equal to 5 3/4

Answer: the answer is 5 3/4

Step-by-step explanation: i took the quiz

Answer:

x[tex]\sqrt{6y}[/tex]/ 3[tex]y^{2}[/tex]

Step-by-step explanation: