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muminat
3 years ago
6

Adam is three years older than Joe. After three years, Adam's age will be four years less than two times Joe's age. Considering

Adam's present age as x years and Joe's present age as y years, write a pair of linear equations to model the above situation.
Mathematics
1 answer:
Romashka-Z-Leto [24]3 years ago
3 0

Answer:

X = 3+y

X = 2y - 4

Step-by-step explanation:

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Slope intercept of (1,1) and (0,7)
Sonja [21]

Answer:

\boxed {m = -6}

Step-by-step explanation:

Use the <u>Slope Formula</u> to help you determine the slope of the following two points:

m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}

(Where (x_{1}, y_{1}) is the first point and (x_{2}, y_{2}) is the second point)

-Apply both points onto that formula:

(x_{1}, y_{1}) = (1, 1)

(x_{2}, y_{2}) = (0, 7)

m = \frac{7 - 1}{0 - 1}

-Solve:

m = \frac{7 - 1}{0 - 1}

m = \frac{6}{-1}

\boxed {m = -6}

3 0
3 years ago
A circle is defined by the equation x2 + y2 + 8x + 22y + 37 = 0. What are the coordinates for the center of the circle and the l
inn [45]
We can say that:
8x = -2ax
8 = -2a
a = -4

22y = - 2by
22 = -2b
b = -11

37 = a² + b² - r²
37 = (-4)² + (-11)² - r²
r² = 16 + 121 - 37
r² = 100
r = 10

With all this information, we can say that:
The center of the circle is: (-4 ; -11)
and the radius of the circle is r = 10

P.S:
(a - x)² + (b-y)² = r²
a² - 2ax + x² + b² -2by + y² - r² = 0
x² + y² -2ax - 2by + a² + b² - r² = 0

6 0
3 years ago
A local gym has 2 pricing options:
DerKrebs [107]
You would have to go 25 times to make it worth getting option b
4 0
3 years ago
A bus is going to a museum 135 miles away. The bus will travel at 30 miles per hour. How long will it take the bus to get
TEA [102]

Answer:

4.5 hours

Step-by-step explanation:

distance equals rate times time, a relationship that can be solved for time:

time = distance / rate

Here the time is (135 miles) / (30 mph) = 4.5 hours

The bus requires 4.5 hours to get to the museum.

7 0
2 years ago
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3 years ago
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