Which ordered pair is the best estimate for the

Mathematics

1 answer:

d1i1m1o1n [39]2 years ago

7 0

Answer:

-4, -6

Step-by-step explanation:

3x+6= 1x-2

2x+6= -2

2x= -8

x= -4

Now that you have your x variable, you can go back and plug it in to your original equations:

y= 3(-4)+6,

y= (-12)+6 therefore y= -6

y=1(-4) -2,

y= (-4) -2 therefore y = -6

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Does the point (-4, 2) lie inside or outside or on the circle x^2 + y^2 = 25?<br>

Lostsunrise [7]

Given equation of the Circle is ,

$\sf\implies x^2 + y^2 = 25$

And we need to tell that whether the point (-4,2) lies inside or outside the circle. On converting the equation into Standard form and determinimg the centre of the circle as ,

$\sf\implies (x-0)^2 +( y-0)^2 = 5 ^2$

Here we can say that ,

• Radius = 5 units

• Centre = (0,0)

Finding distance between the two points :-

$\sf\implies Distance = \sqrt{ (0+4)^2+(2-0)^2} \\\\\sf\implies Distance = \sqrt{ 16 + 4 } \\\\\sf\implies Distance =\sqrt{20}\\\\\sf\implies\red{ Distance = 4.47 }$

Here we can see that the distance of point from centre is less than the radius.

Hence the point lies within the circle .

3 0

2 years ago

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At the bank of a river, by measurement, a = 18 ft. b = 30 ft. c = 24 ft. d = 14 ft. How long is x?

lesya [120]

Since you did not give the picture of the problems so it is difficult to solve the problem. but i think this problem is about similar triangles, similar triangle are triangles that have corresponding angles are congruent and their sides are in proportion.
( x / 24) = 30 /18
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What is the LCM of 15 and 25

Tresset [83]

Hello there!

Factors of 15: 1, 3, 5, 15

Factors of 25, 1, 5, 25

5*5*3=75

The least common factor of 15 and 25 is 75 is the right answer.

Hope this helps!

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