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natali 33 [55]
3 years ago
8

Find the value of x²+y² if x+y=9 xy=14​

Mathematics
1 answer:
vekshin13 years ago
8 0

Step-by-step explanation:

It's a system of equations.

From the first one we isolate x:

x = 9-y

And we substitute in the second one:

(9-y)y = 14

-y^2 + 9y - 14 = 0

y^2 - 9y + 14 = 0

D = 25

y1/2 = (9 +- 5)/2 = 2 or 7

y = 2 => x = 7

y = 7 => x = 2

x^2 + y^2 = 7^2 + 2^2 = 53

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Mrs. Siebenaller bought a bus for 25,000 with a 7% interest rate mrs s gets a loan payoff of 60 months how much interest would s
Artist 52 [7]

Answer:

\$4701.80

Step-by-step explanation:

Mrs. Siebenaller bought a bus for 25,000 with a 7% interest rate and she gets a loan payoff of 60 months,

We know that,

\text{PV of annuity}=P\left[\dfrac{1-(1+r)^{-n}}{r}\right]

Where,

PV = Present value of annuity = 25000,

r = rate of interest of each period = \dfrac{7}{12}% monthly

n = number of periods = 60 months,

Putting the values,

\Rightarrow 25000=P\left[\dfrac{1-(1+\frac{0.07}{12})^{-60}}{\frac{0.07}{12}}\right]

\Rightarrow P=\dfrac{25000}{\left[\dfrac{1-(1+\frac{0.07}{12})^{-60}}{\frac{0.07}{12}}\right]}

\Rightarrow P=\$495.03

Hence total amount paid is,

=495.03\times 60=\$29,701.80

Therefore interest amount is,

=29,701.80-25,000=\$4701.80


4 0
3 years ago
A ball is shot into the air using a brand new super-high-tech robotic arm to help baseball players practice catch fly balls.
stepladder [879]

Answer:

69 feet

Step-by-step explanation:

we have

h(t)=-16t^{2}+64t+5

where

h(t) is the height of the ball

t is the time in seconds

we know that the given equation is a vertical parabola open downward

The vertex is the maximum

so

the y-coordinate of the vertex represent the maximum height of the ball

Convert the quadratic equation into vertex form

The equation in vertex form is equal to

y=(x-h)^{2}+k

where

(h,k) is the vertex of the parabola

h(t)=-16t^{2}+64t+5

h(t)-5=-16t^{2}+64t

h(t)-5=-16(t^{2}-4t)

h(t)-5-64=-16(t^{2}-4t+4)

h(t)-69=-16(t^{2}-4t+4)

h(t)-69=-16(t-2)^{2}

h(t)=-16(t-2)^{2}+69

the vertex is the point (2,69)

therefore

The maximum height is 69 ft

6 0
3 years ago
When x = 3 and y = 5, what is the value of 3x2 - 2y?​
Mumz [18]

Answer:

8

Step-by-step explanation:

3 times 3 is 9

2 yimes 5 is 10

9 times 2 is 18

18-10 is 8

4 0
3 years ago
Read 2 more answers
What is the sum of (8a+2b-4) and (3b-5)
Yuki888 [10]

Answer:

8a+5b-9

Step-by-step explanation:

(8a+2b-4)+(3b-5)

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8a+5b-9

7 0
3 years ago
I need to solve for x
Lady bird [3.3K]

Answer:

x=7

Step-by-step explanation:

\frac{x}{15}=\frac{8}{17}

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x=7

Hope this helps! :)

8 0
3 years ago
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