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Snezhnost [94]
2 years ago
9

If the diameter of a circle change from 18 cm to 6m how will the circumference change

Mathematics
1 answer:
viktelen [127]2 years ago
7 0

Answer:

it will decrease

Step-by-step explanation:

because 6 is smaller than 18 it will go down (decrease)

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A line joins the point
Harrizon [31]

Intersection of the first two lines:

\begin{cases}5x - 2y + 3 = 0\\4x - 3y + 1 = 0\end{cases}

Multiply the first equation by 4 and the second by 5:

\begin{cases}20x - 8y + 12 = 0\\20x - 15y + 5 = 0\end{cases}

Subtract the two equations:

(20x - 8y + 12)-(20x - 15y + 5)=0 \iff 7y+7=0 \iff y=-1

Plug this value for y in one of the equation, for example the first:

5x - 2\cdot (-1) + 3 = 0\iff 5x+5=0 \iff x=-1

So, the first point of intersection is (-1,-1)

We can find the intersection of the other two lines in the same way: we start with

\begin{cases}x=y\\x=3y+4\end{cases}

Use the fact that x and y are the same to rewrite the second equation as

x=3x+4 \iff 2x=-4 \iff x=-2

And since x and y are the same, the second point is (-2, -2)

So, we're looking for a line passing through (-1,-1) and (-2, -2). We may use the formula to find the equation of a line knowing two of its points, but in this case it is very clear that both points have the same coordinates, so the line must be y=x

In the attached figure, line 5x - 2y + 3 = 0 is light green, line 4x - 3y + 1 = 0 is dark green, and their intersection is point A.

Simiarly, line x=y is red, line x = 3y + 4 is orange, and their intersection is B.

As you can see, the line connecting A and B is the red line itself.

5 0
2 years ago
The formula for simple interest is I=Prt.
sineoko [7]

a. The formula solved for t is t = I/Pr

b. The value of t in the table is 3 years

<h3>Simple Interest</h3>

From the question, we are to solve for t in the given formula

The given formula is the formula for simple interest

I = Prt

To solve for t, we will divide both sides of the equation by Pr

That is,

I/Pr = Prt/Pr

I/Pr = t

∴ t = I/Pr

The formula solved for t is t = I/Pr

b. We are to find the value of t when

I = $75

P = $500

r = 5% = 0.05

From

t = I/Pr

t = 75/(500×0.05)

t = 75/25

t = 3 years

Hence, the value of t in the table is 3 years

Learn more on Simple interest here: brainly.com/question/25793394

#SPJ1

4 0
1 year ago
Write 3 to the ninth times 3 to the seventh
lana66690 [7]

Answer:

3^9 * 3^7

Step-by-step explanation:

I don't really know how to explain it lol

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3 years ago
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3h 10 min + 1h 20 min is equal is to​
Ganezh [65]

Answer:

3h 10 min + 1h 20 min is equal is to 4hr30mins

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2 years ago
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Graph the line with slope 1/2<br> that passes through the point (-1,2).
enyata [817]

9514 1404 393

Answer:

  see the attachment for a graph

Step-by-step explanation:

With the given point and slope, the equation of the line can be written in point-slope form:

  y -k = m(x -h) . . . . . line with slope m through point (h, k)

  y -2 = 1/2(x +1) . . . . line with slope 1/2 through point (-1, 2)

__

Slope is the ratio of rise to run, so a slope of 1/2 means the line will rise 1 unit for each 2 units of run (to the right). If you're plotting this by hand, you can identify a second point that is 2 right and 1 up from the given point:

  (-1 +2, 2 +1) = (1, 3).

You can draw your line through those two points.

8 0
3 years ago
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