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kozerog [31]
3 years ago
6

Find the solution, given the replacement set.

Mathematics
1 answer:
kherson [118]3 years ago
3 0
Plug the values (x,y) into the equation and check if they satisfy the equation.

(x,y)=(-2,-8) \\ \Downarrow \\
5 \times (-2) -2 \times (-8)=6 \\
-10+16=6 \\
6=6 \\
true \\ \\
(x,y)=(0,-3) \\ \Downarrow \\
5 \times 0 -2 \times (-3) =6 \\
0+6=6 \\
6=6 \\
true

(x,y)=(1,-1) \\ \Downarrow \\
5 \times 1-2 \times (-1)=6 \\
5+2=6 \\
7=6 \\
not \ true \\ \\
(x,y)=(2,4) \\
5 \times 2 - 2 \times 4=6 \\
10-8=6 \\
2=6 \\
not \ true

(x,y)=(4,7) \\ \Downarrow \\
5 \times 4 -2 \times 7=6 \\
20-14=6 \\
6=6 \\
true

The ordered pairs that satisfy the equation are (-2,-8), (0,-3), and (4,7). The answer is C.
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Find the equation that models the path of a satellite if its path is a hyperbola, a=55,000 km and c=81,000 km. Assume the center
Yuki888 [10]

Given:

Hyperbola

a=55,000 km and c=81,000 km

hyperbola is the origin and the transverse axis is horizontal

Required:

Equation of the path of a satellite

Solution:

Formula for hyperbola, (x-h)2/a2 – (x-k)2/b2 = 1

At origin, (h, k) = (0, 0)

(x-0)2/(55000)2 – (x-0)2/(81000)2 = 1

<span>X2/12100 – y2/26244 = 250000</span>

8 0
3 years ago
Read 2 more answers
selim is ordering concrete spheres to place as barriers in the city park. the spheres cost $2 per square foot, and selim can spe
hoa [83]

The maximum diameter of the spheres he can purchase is  1. 78 ft. Option C

<h3>How to determine the diameter</h3>

The formula for area of a sphere is expressed as;

Area = 4 πr²

If Selim paid $2 per square foot and have a maximum of $20 per square

The area he can purchase is;

= $20/$2

= 10$

Substitute the value into the formula

10 = 4πr²

10 = 4 × 3. 142 ×  r²

10 = 12. 568r²

Make 'r²' the subject

r² = 10/ 12. 568

r² = 0. 79

Find the square root of both sides

r = √0. 79

r = 0. 89

But diameter = 2(radius)

Diameter = 2 × 0. 89 = 1. 78 ft

Thus, the maximum diameter of the spheres he can purchase is  1. 78 ft. Option C

Learn more about spheres here:

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8 0
1 year ago
Please explain the answer. Thank you!
denis-greek [22]

Answer:

Neither

Step-by-step explanation:

Neither because sometimes as x increases, y increases and sometimes as x increases, y decreases so this graph have no corrleation so it neither.

6 0
3 years ago
Solve if x is 3.<br> 91+x raise to power2
Triss [41]
X=3
91 + x^2
91 + 3^2
91 + 9
91 + 9 = 100
6 0
4 years ago
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Suppose you have the following recursion formula a1 = 1, a2 = 2, and an = a(n - 1)+ a(n - 2)for integers n ≥ 3. How would you de
julia-pushkina [17]
A3=3
a4=5
a5=8

This sequence has properties similar to those of the Fibonacci sequence.
8 0
3 years ago
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