Let me help you with this :)

John = x
Mike = y

x = 4 + 3y (4 more than 3 times)

x + y = 20 (we put the x above into this equation)

4 + 3y + y = 20
4y = 16 (we transfers the 4 on the left side to the right side and subtract it from the 20)
y = 4 (the answer is 4)

we use this for the equation:

x = 4 +3*4
x = 16

John is 16 years old and Mike is 4 years old :)

6 0

3 years ago

Slope =<br> ; y-intercept = -3

Goshia [24]

Question is incomplete Let assume the Slope = 2

Answer:

Therefore the Equation of line is

$y=2x -3$

Step-by-step explanation:

Given:

Slope = 2 ( Assumption )

y-intercept = -3

To Find:

Equation of Line in Slope-intercept form

Solution:

Equation of Line in Slope-intercept Form is given as

$y=mx+c$

Where,

$m=Slope\\c=y-intercept$

So, substituting Slope =2 and y-intercept = -3 in above we get

$y=2\times x -3$ Which is the Required Equation of line

Therefore the Equation of line is

$y=2x -3$

8 0

3 years ago

the endpoints of the diameter of a circle are (−6, 6) and (6, −2), what is the standard form equation of the circle?

miss Akunina [59]

The equation of a circle in standard form is

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

where (h, k) is the center of the circle, and r is the radius if the circle.

We need to find the radius and center of the circle.
We are given a diameter, so to find the center, we need the midpoint of the diameter.

M = ((-6 + 6)/2, (6 + (-2))/2) = (0, 2)
The center is (0, 2).

To find the radius, we find the length of the given diameter and divided by 2.

$d = \sqrt{(-6 - 6)^2 + (6 - (-2))^2)}$

$d = \sqrt{144 + 64}$

$d = \sqrt{208}$

$r = \dfrac{d}{2} = \dfrac{\sqrt{208}}{2} = \dfrac{\sqrt{208}}{\sqrt{4}} = \sqrt{52}$

$(x - 0)^2 + (y - 2)^2 = (\sqrt{52})^2$

$x^2 + (y - 2)^2 = 52$

7 0

3 years ago

Round these numbers to the nearest 1000 a) 45 678 b) 24 055 c) 50 505

ELEN [110]

Answer:

A. 46,000

B. 24,000

C. 51,000

Step-by-step explanation:

Follow the rule, 5 or over round up.

8 0

2 years ago

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