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3 years ago

For the circle x^2 + y^2 = 100, a) State the radius at 6,8

Mathematics

2 answers:

alexandr1967 [171]3 years ago

8 0

Answer:

add multiply divide or subtract make sure to use Pemdas then and you should have your answer

Step-by-step explanation:

elena-s [515]3 years ago

8 0

Answer:

r = 10

Step-by-step explanation:

The equation of a circle centred at the origin is

x² + y² = r² ( r is the radius )

x² + y² = 100 ← is a circle centred at the origin with

r² = 100 ( take the square root of both sides )

r = $\sqrt{100}$ = 10

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stepan [7]

Answer: $\sqrt{73}$ for number 7

Step-by-step explanation:

a²+b²=c²

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3 years ago

Which pair of words describes this system of equations 3y=9x-6 2y+6x=4

pishuonlain [190]

Answer:

Consistent and dependent

Step-by-step explanation:

Given

$3y = 9x - 6$

$2y + 6x = 4$

Required

The words that describe the equations

Make y the subject in (2)

$2y + 6x = 4$

Collect like terms

$2y = 4 - 6x$

Divide through by 2

$y = 2 - 3x$

Substitute: $y = 2 - 3x$ in (1)

$3y = 9x - 6$

$3(2 - 3x) = 9x - 6$

$6 - 9x = 9x - 6$

Collect like terms

$9x+9x = 6+6$

$18x = 12$

Solve for x

$x = \frac{12}{18}$

Simplify

$x = \frac{2}{3}$

Substitute $x = \frac{2}{3}$ in $y = 2 - 3x$

$y = 2 - 3*\frac{2}{3}$

$y = 2 - 2$

$y =0$

So, we have:

$x = \frac{2}{3}$ and $y =0$

<em>The system is consistent because it has at least 1 solution</em>

<em>The system is dependent because it has more than 1 solution</em>

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