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satela [25.4K]
2 years ago
14

What are the x-coordinates of the solutions to this system of equations? x2 + y2 = 100 y = x + 2

Mathematics
1 answer:
kiruha [24]2 years ago
6 0

Answer:

x = - 8, x = 6

Step-by-step explanation:

Given the 2 equations

x² + y² = 100 → (1)

y = x + 2 → (2)

Substitute y = x + 2 into (1)

x² + (x + 2)² = 100

x² + x² + 4x + 4 = 100

2x² + 4x + 4 = 100 ( subtract 100 from both sides )

2x² + 4x - 96 = 0 ( divide through by 2 )

x² + 2x - 48 = 0 ← in standard form

(x + 8)(x - 6) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 8 = 0 ⇒ x = - 8

x - 6 = 0 ⇒ x = 6

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10 1/16ft + 8 3/8ft +1/2 ft
Whitepunk [10]

Answer:

18 15/16 ft

Step-by-step explanation:

what is the request here ?

to do the additions and bring all to one summary result of ft ?

I base my answer on this assumption.

10 1/16 = 161/16

8 3/8 = 67/8

1/2 = 1/2

note let's bring everything to 16th, so that we can actually add them.

161/16

67/8 = 134/16

1/2 = 8/16

161/16 + 134/16 + 8/16 = 303/16 = 18 15/16

cross check :

add all whole numbers first, and then add the remaining fractions too (need to bring them to 16th too).

10 + 8 = 18

1/16 + 3/8 + 1/2 = 1/16 + 6/16 + 8/16 = 15/16

together, 18 15/16

yeah, it is the same.

6 0
3 years ago
How many solutions for linear equation 3x + 5y = 25 can be found so that −20 < y < 10, and x is an integer?
ch4aika [34]

Answer:

50

Step-by-step explanation:

3x = 25 - 5y

-100 < 5y < 50

-50 < -5y < 100

-25 < 25 - 5y < 125

-8.333 < x < 41.667

41+8+1 = 50

5 0
3 years ago
The product of a number and negative three is twenty-seven. Which of the following could represent this statement?
Arturiano [62]

Answer:

<h2>-3n = 27</h2>

Step-by-step explanation:

The product of a number and negative three is twenty-seven.

<em>n - </em><em>a number</em>

the product of a number and negative three: <em>n · (-3) = -3n</em>

5 0
3 years ago
Read 2 more answers
If the bug jumps 7 units and lands at 0, where could it have started?
fenix001 [56]
The answer is -7 jzzoksjsjs
8 0
2 years ago
Read 2 more answers
Order the following in descending order<br> -3/4, 1/8, -0.735, 7/8, 1/80, 0.056
Vilka [71]
If you would like to order the following values in descending order, you can do this using the following steps:

- 3/4 = - 0.75
1/8 = 0.125
- 0.735
7/8 = 0.875
1/80 = 0.0125
0.056

The result is: 7/8, 1/8, 0.056, 1/80, - 0.735, -0.75.
5 0
3 years ago
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