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2 years ago

What is the center and radius of the following circle: x2 + (y _ 6)_ = 50

1 answer:

3 0

The true question should be like this:
<span>What is the center and radius of the following circle: x^2 + (y _ 6)^2 = 50,
circle quation formula is (x-a)^2 + (y-b)^2 = R², so by identifying each term, we find </span>(x-a)^2=x^2 = (x-0)^2, (y-b)^2= (y _ 6)^2, R² = 50, implies R =5sqrt(2),
it is easy to identify that the center is (a,b)= (0, 6)
the radius is R =5sqrt(2),

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What is the y- intercept of the function described in the table x: 1,2,3,4 y: 8,6,4,2

weeeeeb [17]

Answer:

The y-intercept of the function is: b=10

Step-by-step explanation:

Given the table

x y

1 8

2 6

3 4

4 2

Taking any two points to find the slope

(1, 8)

(2, 6)

The slope between (1, 8) and (2, 6) is:

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(1,\:8\right),\:\left(x_2,\:y_2\right)=\left(2,\:6\right)$

$m=\frac{6-8}{2-1}$

$m=-2$

We know that the slope-intercept form of the line equation is

$y=mx+b$

where m is the slope and b is the y-intercept.

Substituting m=-2 and any point i.e. (1, 8) in the slope-intercept form of the line equation to find the y-intercept (b).

$y=mx+b$

8 = -2(1) + b

8 = -2 + b

b = 8+2

b = 10

Thus, the y-intercept of the function is: b=10

6 0

2 years ago

Read 2 more answers

What is the equation of the linear function represented by the table?

Korolek [52]

Hello!

You can put x into the answer choices to see if we get y
----------------------------------------------------------------------------------------------------
y = -x + 9
y = -(-5) + 9
y = 5 + 9
y = 14

This could be a answer

y = -(-2) + 9
y = 2 + 9
y = 11

y = -(1) + 9
y = -1 + 9
y = 8

y = -(4) + 9
y = -4 + 9
y = 5

we got y every time so the answer is the first one

The answer is A) y = -x + 9

Hope this helps!

8 0

2 years ago

Read 2 more answers

True or false. this set of three numbers are measurements of a right triangle 26, 24, 10

Firdavs [7]

True

using the converse of Pythagoras' identity

Given 3 sides of a triangle, if the longest side squared is equal to the sum of the squares of the other 2 sides then triangle is right.

longest side squared = 26² = 676

sum of other 2 sides squared = 24² + 10² = 576 + 100 = 676

Hence triangle is right

5 0