The path of a skateboarder can be modeled by the equation (x – 3)2 = –4(y – 9), where distance is in feet and air resistance is insignificant. If the skateboarder makes a jump from a ramp at x = 0, what is her maximum height and how far is she horizontally from the end of the ramp when she lands?

Step-by-step explanation:

The given equations are

x2+y3=xy9

⟹xy2y+3x=xy9

⟹3x+2y=9 ........(i) 

x4+y9=xy21

⟹xy4y+9x=xy21

⟹9x+4y=21   ........(ii)  

Now (i)×3⟶9x+6y=27   .....(iii)

Subtracting (iii) from (ii),

−2y=−6⇒y=3.

Putting y=3 in (i),

3x+2×3=9⟹x=1.∴(x,y)=(1,3)

Answer:

i

Step-by-step explanation:

Answer:

width is 7, length is 14

Step-by-step explanation:

x(x+7) = 98

x^2 + 7x = 98

x^2 + 7x - 98 = 0

( x   +   14 )( x  -   7 ) = 0

x+14=0 results in negative measures

x-7=0 ---> x= 7

width is 7, length is 14

Answer:

tan^2 60 - sin^2 45

= (√3)^2- (1/√2)^2

= 3-1/2

= 6-1/2

= 5/2

Answer:

[tex]\frac{5}{2}[/tex]

Step-by-step explanation:

The exact value of tan(60) is sqrt(3), and sin(45) is 1/sqrt(2)

tan^2 (60) - sin^2 (45)

[tex]=(\sqrt{3})^2-(\frac{1}{\sqrt{2}} )^2\\=3-\frac{1}{2}\\ = \frac{5}{2}[/tex]

Answer:

B is for the second one

Step-by-step explanation:

And ik bc i took the test

Answer:

[tex]s = 19z - 7 - (5z - 9) - (8z + 3) \\ = 19z - 7 - 5z + 9 - 8z - 3 \\ = (19z - 5z - 8z) + (9 - 7 - 3) \\ \therefore \: third \: side \: s= 6z - 1[/tex]

[tex]\\ \sf\longmapsto a_1=3(1)-9=3-9=-6[/tex]

And

[tex]\\ \sf\longmapsto a_5=3(5)-9=15-9=6[/tex]

Answer:

a

Step-by-step explanation:

Answer:

0=0

1=8

2=10

^^^^

I don't know what the graph is asking if you want to graph the equation y=2x+6 the two points are (0,6) and (1,8)

Answer:

6.5

Step-by-step explanation:

Answer:

6.5

Step-by-step explanation:

Using a calculator, if you typed in 52 divided by 8, you'd get 6.5. You could also express 52/8 as a mixed fraction: 6 4/8. If you look at the mixed fraction 6 4/8, you'll see that the numerator is the same as the remainder (4), the denominator is our original divisor (8), and the whole number is our final answer (6).

Answer:

7/16

Step-by-step explanation:

change 3/8 to have a common denominator with 1/16 then add the numerators. 6/16 + 1/16 which is 7/16.

Answer:

1527.1

Step-by-step explanation:

The formula is:

[tex]l=r2+h2[/tex]

and

[tex]V=πr2*h/3[/tex]

Step-by-step explanation:

√(6+x−x²)=9

the domain :

6+x-x² ≥ 0

(3-x)(2+x) ≥0

-2 ≤ x ≤ 3

problem solving:

√(6+x−x²)=9

6+x−x²=81

-x²+x+6-81 = 0

-x²+x-75 = 0

x²-x+75 = 0

D = 1² -4(1)(75) = 1-300 = -299

since D < 0, the equation doesn't have any real numbers solution

Answer:

-3/2

Step-by-step explanation:

Slope: (y₂ - y₁) / (x₂ - x₁)

Plug the given points into this formula:

(-4 - 5) / (8 - 2) =

(-9) / (6)

-3/2

Using probability concepts, it is found that P(X) = 0.68.

The probabilities given are:

Event X is the probability of living in either South America, Asia or Europe, thus it's probability is the sum of these three probabilities, that is:

[tex]P(X) = 0.06 + 0.55 + 0.07 = 0.68[/tex]

Hence, P(X) = 0.68.

A similar problem is given at https://brainly.com/question/25227627

Answer:

0.68

explanation:

you're adding the numbers on the graph together

South America = 0.06

Europe = 0.07

Asia = 0.55

0.06 + 0.07 + 0.55 = 0.68

Answer:

X=15

Step By Step Explanation:

Answer:

A= wl = (6)5.6 = 33.6cm²

Answer:33.6

Step-by-step explanation:

A=wl=6·5.6≈33.6cm²

The yellow line I drew is the line of reflection.

P (Girl|Senior) = P(Girl n Senior) / P(Senior)

P(girl n senior) = 5 / 37

P(senior) = 7/37

P(girl | senior) = 5/7

Answer:

mememememwmwnwmwnwnwjkwjw

Answer:

50 L of petrol is needed to travel 600 km.

Step-by-step explanation:

The car travels 1 km in 20/240 L of petrol.  

Then,  

Petrol needed to travel 600 km  

20/240 × 600  

20/24 × 60  

20/4 × 10  

5 × 10

= 50 L

Answer:

50 liters

Step-by-step explanation:

Petrol needed to travel 240 Km = 20 liters

Petrol needed to travel 1 Km = 20/240

Petrol needed to travel 600 Km = [tex]\frac{20}{240} * 600[/tex]

      = 50 liters

Answer:

Vertex: (-7/2, -27/2), opens upward

Step-by-step explanation:

I used Desmos to graph this function, as you can see in the attached photo. The vertex was (-3.5, -13.5) and the parabola opened upward.

To give the patient a dose of 2g medication with a strength of 4g/0.4ml, you should administer 50 ml of the medication.

Given that,

Dose ordered: 2g of medication

Medication strength: 4g/0.4ml

Conversion factor: 10

To calculate the volume of medication you need to give the patient,

Use a simple formula:

Volume (in ml) = (Dose ordered / Strength) x Conversion factor

In this case,

The dose ordered is 2g and the strength is 4g/0.4ml.

To find the conversion factor,

Divide 4g by 0.4ml, which equals 10.

So, using the formula,

The volume of medication you need to give the patient would be:

Volume (in ml) = (2g / 0.4ml) x 10

Now, calculating this:

Volume (in ml) = 5 x 10

Hence, you should give the patient 50ml of medication.

Learn more about the multiplication visit:

https://brainly.com/question/10873737

#SPJ3

Answer:

thaks for point

Step-by-step explanation:

tell me if im wrong

Answer:

2 x 56 = 112

This is because 56 + 56 = 112

Hope this helps! :]

9514 1404 393

Answer:

  7%

Step-by-step explanation:

The simple interest formula is ...

  I = Prt . . . . where P is the principal, r is the rate, and t is the number of years

Filling in the given values, we can solve for r.

  490 = 1400·r·5

  490/7000 = r = 0.07 = 7%

The interest rate was 7%.

Answer: No, it is linear

Explanation: The constant is +8, meaning the y intercept is 8. Proportional lines go through (0,0), but this line goes through (0,8).

Answer:

5i

Step-by-step explanation:

i² = -1

[tex]\sqrt{-25}[/tex] = [tex]\sqrt{i^{2} 25 }[/tex]

         = [tex]\sqrt{i^{2} }[/tex] ·[tex]\sqrt{25}[/tex]

          = i · 5

          = 5i

Answer:

No

Step-by-step explanation:

The change in the sequence is not consistent therefore it cannot be an arithmetic sequence.