There are many ways to solve simultaneous linear equations. One of my favorite for finding integer solutions is graphing. The attached graph shows the solution to be ...

... (x, y) = (4, 7)

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You can also use Cramer's Rule, or the Vedic math variation of it, which tells you the solution to

$ax+by=c\\dx+ey=f$

is given by

$x=\dfrac{bf-ec}{\Delta}\\\\y=\dfrac{cd-fa}{\Delta}\qquad\text{where $\Delta=bd-ea$}$

Here, that means

... x = (9·67-5·75)/(9·8-5·3) = 228/57 = 4

... y = (75·8-67·3)/57 = 399/57 = 7

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A (graphing) calculator greatly facilitates either of these approaches.

8 0

2 years ago

Given the center (h,k) = (5,0) and radius r=3, write and equation for the circle in standard form

Len [333]

Answer

B) $(x-5)^{2} + y^{2} = 9$

Step by step explanation

The standard form of circle when center(h, k) and radius r, given is

(x - h)^2 + (y - k)^2 = r^2

Given: (h, k) = (5, 0) and r = 3

Now plug in these values in the standard form, we get

(x - 5)^2 + (y - 0)^2 = 3^2

$(x- 5)^{2} + y^{2} = 9$

Therefore, the answer is B) $(x-5)^{2} + y^{2} = 9$

Thank you :)

3 0

2 years ago

Read 2 more answers

poizon [28]

Answer:

C=5+0.25m

Step-by-step explanation:

6 0

2 years ago