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Anvisha [2.4K]
4 years ago
7

How would you solve this(what is the equation of the line that passes through the point (3,4) and has a slope of -2/3?)//delta m

ath//

Mathematics
1 answer:
andre [41]4 years ago
6 0

Answer:

y = -\frac{2}{3}x + 6

Step-by-step explanation:

y = mx + b is the formula for slope intercept. What we can do is plug in the slope and coordinate points to find the y-intercept.

4 = -\frac{2}{3}(3) + b

-2/3 times 3 is -2 so you can fill that in place.

4 = -2 + b

<u>+2   +2     </u>

6 = b

So the y-intercept is 6 now we can complete the equation.

y = -\frac{2}{3}x + 6

Hope that helps and have a great day!

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Find the greatest common factor of the following monomials monomials 44a3 4a
Anika [276]
Hey there :)

44a³ and 4a

Let us do the numbers and variables separately

44 and 4 are both multiples of each other
Therefore, the GCF is 4

a³ and a, a will be the GCF since a³ is not present on both

Finally, 4a will be the GCF
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There are two different maps of ohio. The scale on the first map is 1 cm to 10 km. The distance from cleveland to clncinnati is
Ivanshal [37]

1. To answer this question we must keep on mind that we already have the distance from Cleveland to Cincinnati.

2. They tell us that it is 40 centimeters on the first map.

3. If on the first map 1cm = 10km then:

40cm = 10km * 40 = 400km

4. Then the distance from Cleveland to Cincinnati is 400 kilometers.

5. On the second map 1cm = 50km

6. Then we want to know how many centimeters represents 400 kilometers on the second map. Therefore:

400/50= 8

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6 0
3 years ago
A Tourist Information Center is between a Bus Station and a Train Station. When mapped on a grid, the Train Station is located a
galben [10]

Answer:

X = 9 and Y = 8

Step-by-step explanation:

We are to find the midpoint of the coordinates  (13,15) and  (5,1).

Using the midpoint formula;

M(X, Y) = [(x1+x2)/2, (y1+y2)/2]

X = (x1+x2)/2

Y = (y1+y2)/2

From the coordinates, x1 = 13, y1 = 15, x2 = 5 and y2 = 1

X = 13+5/2

X = 18/2

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Similarly;

Y = 15+1/2

Y = 16/2

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4 0
4 years ago
The probability that a car has a certain factory defect is 825. The probability that a car has a certain factory defect and need
ipn [44]

Answer:

90.91% probability that a car needs an oil change given that it has a certain factory defect

Step-by-step explanation:

We use the conditional probability formula to solve this question. It is

P(B|A) = \frac{P(A \cap B)}{P(A)}

In which

P(B|A) is the probability of event B happening, given that A happened.

P(A \cap B) is the probability of both A and B happening.

P(A) is the probability of A happening.

In this problem, we have that:

Event A: having a factory defect.

Event B: needing an oil change.

The probability that a car has a certain factory defect is 825.

So P(A) = 0.825

The probability that a car has a certain factory defect and needs an oil change is 750.

So P(A \cap B) = 0.75

What is the probability that a car needs an oil change given that it has a certain factory defect

P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.75}{0.825} = 0.9091

90.91% probability that a car needs an oil change given that it has a certain factory defect

5 0
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