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Ostrovityanka [42]
3 years ago
12

What is the slope of the line that passes through the points (−8,−1) and (−6,−2)? Write your answer in simplest form.

Mathematics
1 answer:
4vir4ik [10]3 years ago
6 0

Answer:

m = -1/2

Step-by-step explanation:

Recall that slope = (change in y) / (change in x).

Going from  (−8,−1) to (−6,−2), x increases by 2 (because -6 - (-8) = 2), and

y decreases by 1.  Thus, the slope here is

m = (change in y) / (change in x) = (-1) / 2 = -1 / 2

m = -1/2

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Calculate the value of x if 2x/3=8/5
Cloud [144]

Answer:

12/5 or 2⅖

Step-by-step explanation:

2x/3 = 8/5

2x = 3 × 8/5

2x = 24/5

x = 24/5 ÷ 2

x = 12/5

Or 2⅖

5 0
3 years ago
How can you convert 5 feet 6 inches to inches
9966 [12]
Hello!

1 foot = 12 inches

We need to convert 5 feet 6 inches to just inches. To do this, let's multiply how many inches there are in one foot by 5 feet.

12 × 5 = 60

That means that 5 feet are equal to 60 inches. We still have 6 inches left. Add them:

60 + 6 = 66

ANSWER:

5 fest 6 inches = 66 inches.
5 0
3 years ago
Read 2 more answers
I need help solving it​
HACTEHA [7]

Answer: OPTION 3. -7

Step-by-step explanation:

Given

-52=-4x-5(-2x+2)

Distributive property (REMEMBER you need to change signs)

-52=-4x-5×(-2x)-5×2

-52=-4x+10x-10

Combine like terms (-4x and 10x)

-52=6x-10

Add 10 on both sides

-52+10=6x-10+10

-42=6x

Divide 6 on both sides

-42/6=6/6x

x=-7

Hope this helps!! :)

Please let me know if you have any question

8 0
4 years ago
Read 2 more answers
- 5x = -x - 48<br> x = -11<br> X = 12
Andreas93 [3]

Answer:

B- x=12

Step-by-step explanation:

-5x=-x-48

-12+-48

-12. -12

-60=-5x

-5. -5

x=12

4 0
3 years ago
Two distinct number cubes, one red and one blue, are rolled together. Each number cube has sides numbered 1 through 6.
cestrela7 [59]

Answer:

P(E_1 or E_2) = \frac{7}{12}

Step-by-step explanation:

Given

Two cubes of side 1 - 6

Required

Probability that the outcome of the roll is an odd sum or a sum that is a multiple of 5

First, the sample space needs to be listed;

Let C_r represent the Red cube

C_b represent the Blue cube

S represent the sample space

C_r = (1,2,3,4,5,6)\\C_b = (1,2,3,4,5,6)\\S = (2,3,4,5,6,7,3,4,5,6,7,8,4,5,6,7,8,9,5,6,7,8,9,10,6,7,8,9,10,11,7,8,9,10,11,12)S is gotten by getting the sum of C_r and C_b

n(S) = 36

<em>Calculating the Probability</em>

Let E_1 represent the event that an outcome is an odd sum

E_1 = (3,5,7,3,5,7,5,7,9,5,7,9,7,9,11,7,9,11)

n(E_1) = 18

P(E_1) = \frac{n(E_1)}{n(S)}

P(E_1) = \frac{18}{36}

Let E_2 represent the event that an outcome is a multiple of 5

E_2 = (5,5,5,5,10,10,10)

n(E_2) = 7

P(E_2) = \frac{n(E_2)}{n(S)}

P(E_2) = \frac{7}{36}

Let E_3 represent the event that an outcome is an odd sum and a multiple of 5

E_3 = E_1 and E_2

E_3 = (5,5,5,5)

n(E_3) = 4

P(E_3) = \frac{n(E_3)}{n(S)}

P(E_3) = \frac{4}{36}

Calculating P(E_1 or E_2)

P(E_1 or E_2) = P(E_1) + P(E_2) - P(E_1 and E_2)

P(E_1 or E_2) = P(E_1) + P(E_2) - P(E_3)

P(E_1 or E_2) = \frac{18}{36} + \frac{7}{36} - \frac{4}{36}

P(E_1 or E_2) = \frac{18 + 7 - 4}{36}

P(E_1 or E_2) = \frac{21}{36}

P(E_1 or E_2) = \frac{7}{12}

Hence, the probability that the outcome of the roll is an odd sum or a sum that is a multiple of 5 is \frac{7}{12}

6 0
3 years ago
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