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Phoenix [80]
2 years ago
15

System of quadratic x² - y² = 4 x² + y² = 4

Mathematics
1 answer:
const2013 [10]2 years ago
5 0

Answer: (2,0),(−2,0)

Step-by-step explanation:

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On squared paper draw a 7 x 7 square. Divide it up into nine smaller squares.​
wariber [46]

Answer/Step-by-step explanation:

Each square would be about 0.78 by 0.78

7 0
2 years ago
Can someone help me with this question!Does the shaded region below represent a value of 3/4 why or why not? Please help immedia
Nana76 [90]

Answer:

Yes

Step-by-step explanation:

Because the circle is divided into 4 parts, and 3 out of 4 of the parts are shaded.

5 0
3 years ago
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ladder is 8 ft long . The ladder needs to reach to a window that is 6 ft above the ground . How far away from the house should t
stiks02 [169]

Answer:

5.3 or 28

Step-by-step explanation:

6^{2}+b^{2}=8^{2}

36+b^{2}=64

64-36=28

\sqrt{28\\}

=5.29 or 5.3

5 0
2 years ago
<img src="https://tex.z-dn.net/?f=81-%28y-1%29%28y%5E2%2B27%29%20%5Cgeq%200%20%5C%5C%5C%5C%2081-%28y%5E3%2B27y-y%5E2-27%29%20%5C
Zarrin [17]
<span>First thing you'll need to know is that the value for this equation is actually an approximation 'and' it is imaginary, so, one method is via brute force method.

You let f(y) equals to that equation, then, find the values for f(y) using values from y=-5 to 5, you just substitute the values in you'll get -393,-296,-225,... till when y=3 is f(y)=-9; y=4 is f(y)=48, so there is a change in </span><span>signs when 'y' went from y=3 to y=4, the answer is between 3 and 4, you can work out a little bit deeper using 3.1, 3.2... You get the point. The value is close to 3.1818...

The other method is using Newton's method, it is similar to this but with a twist because it involves differentiation, so </span>y_{n+1}=y_n-\frac{f(y)}{f'(y)}<span> where 'n' is the number you approximate, like n=0,1,2... etc. f(y) would the equation, and f'(y) is the derivative of f(y), now what you'll need to do is substitute the 'n' values into 'y' to find the approximation.</span>
7 0
3 years ago
Jane, Scott, and Frank have a total of $144 in their wallets. Frank has 4 times what Jane has. Scott has $6 less than Jane. How
konstantin123 [22]

Answer:

Jane have $25

Frank have $100

Scott have $19

Step-by-step explanation:

To find the amount that each have, we have to represent this information in a mathematical format  and then solve

let x represent represent the amount that Jane has

let Y represent represent the amount that Frank has

let z represent represent the amount that Scott has

From the question given, "Jane, Scott, and Frank have a total of $144"  can be represented mathematically as

x + y + z = $144 ---------------------------------------------------------------------------------(1)

"Frank has 4 times what Jane has"   can be represented mathematically as

y = 4x ---------------------------------------------------------------------------------------------(2)

"Scott has $6 less than Jane"  can be represented mathematically as

z= x- 6 ----------------------------------------------------------------------------------------------(3)

we can now solve the equations using the substitution method

substitute equation (2)  and (3)  into equation (1)

x + y + z = $144

x + 4x + x-6 = $144

6x -6 = $144

add 6 to both-side of the equation

6x - 6 + 6 = $144 + 6

6x =$150

Divide both-side of the equation by 6

6x/6 = 150/6

x = $25

from equation 2

y = 4x

substitute x= $25 in equation (2)

y = 4 (25)

y = $100

substitute x=$25 in equation  (3)

z = x- 6

z = 25 - 6

z=$19

Jane have $25

Frank have $100

Scott have $19

6 0
2 years ago
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