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Alina [70]
2 years ago
13

Graph the equation:

Mathematics
1 answer:
PIT_PIT [208]2 years ago
7 0
This is a slope intercept form problem! The equation would be modeled as in the image. It would be modeled as so because 2 is the y-intercept, meaning that is where we begin on the graph (the point location is (0,2). From there, we would move up 1 point and to the right 3 points because slope is represented by rise over run. Since 1/3 has a variable beside it, we know 1/3 is the slope. With that being said, the equation would be graphed by starting at (0,2) on the graph and moving up 1 and to the right 3 points each time. If you need any help, let me know and I will gladly assist you.

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A prairie dog left its burrow 5 feet underground and started digging deeper into the ground. It digs straight down at a constant
SpyIntel [72]

Building and solving an equation to model the situation, it is found that it takes 4 min for the prairie dog to reach 13 feet underground.

  • Initially, the dog is 5 feet underground.
  • Each minute, the dog goes 2 more feet underground.

Hence, the underground height of the dog after t seconds is given by:

h(t) = 5 + 2t

The time it takes for the dog to reach 13 feet underground is <u>t for which h(t) = 13</u>, hence:

h(t) = 5 + 2t

13 = 5 + 2t

2t = 8

t = \frac{8}{2}

t = 4

It takes 4 min for the prairie dog to reach 13 feet underground.

A similar problem is given at brainly.com/question/25290003

7 0
3 years ago
What is the center and radius of the circle that has the equation x+72+y-42=49? Explain.
balu736 [363]

Answer: The center is (-7, 4) and the radius is 7.

Step-by-step explanation:

The equation for a circle usually is:

(x - a)^2 + (y - b)^2 = R^2

where R is the radius, and (a, b) is the center of the circle.

I guess that the equation in this case is:

(x + 7)^2 + (y - 4)^2 = 49

then, in this case we have:

a = -7 and b = 4, then (a, b) = (-7, 4)

this means that the center of our circle is in the point (-7, 4)

and we know that:

R^2 = 49

R = √49 = 7

Then the radius is equal to 7.

3 0
4 years ago
If two lines are perpendicular, their slopes are negative reciprocals.<br> A. True<br> B.False
Ainat [17]
A. If the slopes of two lines are negative then the reciprocals, of the lines are perpendicular.
8 0
3 years ago
Read 2 more answers
The world's tallest man cast a
klemol [59]

Answer:

<h2>8 ft 11 in</h2>

Step-by-step explanation:

It's a matter of proportions.

Let's call them A and B. Now, let's make an equation.

\frac{535}{a} = \frac{320}{64} = 5

Now that we know that...

A = \frac{535}{5} = 107 in = 8 ft 11 in

5 0
3 years ago
Read 2 more answers
Which point is not on the graph of the equation y=10+x
SCORPION-xisa [38]

Answer:

C

Step-by-step explanation:

Check all points:

A: x=0, y=10, then from the equality 10=10+0 follows that A lies on the line.

B: x=3, y=13, then from the equality 13=10+3 follows that B lies on the line.

C: x=8, y=2, then from the inequality 2=10+8 follows that C doesn't lie on the line.

D: x=5, y=15, then from the equality 15=10+5 follows that D lies on the line.

8 0
3 years ago
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