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umka21 [38]
4 years ago
12

Given the two points (-1,-4) and (2,5): a. Find the slope between these two points

Mathematics
1 answer:
Dvinal [7]4 years ago
4 0
Easy, using \frac{y1-y2}{x1-x2} to find the intercept:

\frac{-4-5}{-1-2}=

\frac{-9}{-3}=3

This is your slope. m=3

To find y=mx+b form

-4=3(-1)+b

-4=-3+b

-1=b

y=3x-1 in y=mx+b form
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Complete the steps to demonstrate why you multiply by the reciprocal when dividing fractions
choli [55]
1/2 ÷ 1/2
= 1/2 ÷ 2/1
= 1/2 × 2/1
= 2/2
= 1
5 0
4 years ago
-3+9y=96 and 41=-3x+11
Strike441 [17]

Answer:

y=11 x=-10

Step-by-step explanation:

Y:

Add 3 to both sides. Then divide by 9 on both sides.

X:

Subtract 11 from both sides. then divide by -3 on both sides.

Hope this helped

6 0
3 years ago
Q # 1 solve the problem
masha68 [24]
The solution is shown in the graph attached.

Explanation:

I am goind to teach you how to get that solution.

1) Restricctions: both x and y cannot be negative, i.e. x ≥ 0 and y ≥ 0

⇒ the solution is on the first quadrant.

2) Using the prices of the tickets, $ 8 for adults, and $ 6 for children, the linear equation for the costs is: cost = 8x + 6y.

3) Since the radio station is willing to spend a maximum of $ 172 you have the final restriction:

⇒ 8x + 6y ≤ 172.

4) Then the solutions that meet the three restrictions (x ≥0, y ≥ 0, and 8x + 6y ≤ 172) is found graphically by drawing the line 8 x + 6y = 172

5) To draw the line 8x + 6y = 172, use the axis intercepts:

x = 0 ⇒ y = 172/6 = 86/3 ⇒ point (0, 86/3)

y = 0 ⇒ x = 172/8 = 86/4 ⇒ point (86/4, 0)

6) Once you have the line you shade the region that is between the line and the two axis. That region contain of the possible solutions.

4 0
4 years ago
Read 2 more answers
To the nearest degree, what is the measure of each exterior angle of a regular decagon?
aniked [119]

Answer:

Exterior angle of a decagon will be 36°

Step-by-step explanation:

Measure of all interior angles of a polygon is represented by (n - 2)×180°

where n is the number of sides of the polygon.

Now we have to calculate the exterior angle of a regular decagon.

As we know exterior angle of polygon is supplementary of the interior angle.

So we will calculate interior angle first.

Sum of interior angles of decagon = (n - 2)×180° = 8×180° = 1440°

Since decagon is regular so all angles will be same.

So one angle of decagon = 1440 ÷ 10 = 144°

Now exterior angle = 180 - 144 = 36°

Each exterior angle of a decagon will be 36°.

8 0
3 years ago
Find a formula for the exponential function passing through the points (-1,5/3) and (3, 135).
Artyom0805 [142]

The expression y = 4.998 · e^{1.098\cdot x} is the exponential function that passes through the points (- 1, 5 / 3) and (3, 135).

<h3>How to derive an exponential function that passes through two given points</h3>

Herein we find the location of two points set on Cartesian plane that belongs to an exponential function of the form:

y = A \cdot e^{B \cdot x}

Where:

  • A - y-Intercept of the exponential function.
  • B - Growth factor
  • x - Independent variable.
  • y - Dependent variable.

Which is equivalent to the following logarithmic expression:

㏑ y = ㏑ A + B · x

If we know that (x₁, y₁) = (- 1, 5 / 3) and (x₂, y₂) = (3, 135), then the following system of equations is generated:

㏑ (5 / 3) = ㏑ A - B

㏑ 135 = ln A + 3 · B

Then, we solve the system by numerical methods:

㏑ A = 1.609 (A = 4.998), B = 1.098

And the exponential function is equal to y = 4.998 · e^{1.098\cdot x}.

To learn more on exponential functions: brainly.com/question/11487261

#SPJ1

6 0
2 years ago
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