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Hunter-Best [27]
3 years ago
8

Find an equation of the line that passes through the given point and has the indicated slope m.

Mathematics
1 answer:
REY [17]3 years ago
4 0

Answer:

y = \frac{4}{5} x + 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = \frac{4}{5} , thus

y = \frac{4}{5} x + c ← is the partial equation

To find c substitute (- 5, - 2) into the partial equation

- 2 = - 4 + c ⇒ c = - 2 + 4 = 2

y = \frac{4}{5} x + 2 ← equation of line in slope- intercept form

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suppose the atmosphere air pressure at sea level is about 96 kilopascals. for every 1000-meter pressure decreases 11.6 percent.
solniwko [45]

Answer: 169.7

Step-by-step explanation:

Given that Air atmosphere level = 96kp

For every 1000m= 11.6/100 of 96kp decrease

For every 1000m= 96 - 11.6/100 × 96

= 96 - 11.14

= 84.86

If 1000m pressure decreases= 84.86

2000m pressure will decrease = ??

Let the missing value be x, and the equation be stated as:

1000 = 84.86

2000= x

Then cross multiply

1000x = 2000 x 84.86

1000x = 169,720

Divide both sides by 1000 to get the value of x

x = 169,720/1000

x =169.72 = ~ 169.7

I hope this helps, please mark as brainliest answer

6 0
3 years ago
2*2+100/2*4/2/2*4/2*5 = ?
Readme [11.4K]

Answer:

Step-by-step explanation:

It is 504

Hope it helps

Mark me as brainiest

7 0
3 years ago
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The editor of a textbook publishing company is deciding whether to publish a proposed textbook. Information on previous textbook
kogti [31]

Answer:

34.86% probability that it will be huge​ success

Step-by-step explanation:

Bayes Theorem:

Two events, A and B.

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

In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.

In this question:

Event A: Receiving a favorable review.

Event B: Being a huge success.

Information on previous textbooks published show that 20 % are huge​ successes

This means that P(B) = 0.2

99 % of the huge successes received favorable​ reviews

This means that P(A|B) = 0.99

Probability of receiving a favorable review:

20% are huge​ successes. Of those, 99% receive favorable reviews.

30% are modest​ successes. Of those, 70% receive favorable reviews.

30% break​ even. Of those, 40% receive favorable reviews.

20% are losers. Of those, 20% receive favorable reviews.

Then

P(A) = 0.2*0.99 + 0.3*0.7 + 0.3*0.4 + 0.2*0.2 = 0.568

Finally

P(B|A) = \frac{P(B)*P(A|B)}{P(A)} = \frac{0.2*0.99}{0.568} = 0.3486

34.86% probability that it will be huge​ success

4 0
3 years ago
PLEASE HELP!!!!! HAVING TROUBLE <br><br> (see attached images)
qaws [65]

Answer:

The Proof for

Part C , Qs 9 and Qs 10  is below.

Step-by-step explanation:

PART C .

Given:

AD || BC ,

AE ≅ EC

To Prove:

ΔAED ≅ ΔCEB

Proof:

Statement                             Reason

1. AD || BC                           1. Given

2. ∠A ≅ ∠C                        2. Alternate Angles Theorem as AD || BC

3. ∠AED ≅ ∠CEB               3. Vertical Opposite Angle Theorem.

4. AE ≅ EC                        4. Given

5. ΔAED ≅ ΔCEB              5. By A-S-A congruence test....Proved

Qs 9)

Given:

AB ≅ BC ,

∠ABD ≅ ∠CBD

To Prove:

∠A ≅ ∠C

Proof:

Statement                             Reason

1. AB ≅ BC                        1. Given

2. ∠ABD ≅ ∠CBD            2. Given      

3. BD ≅ BD                       3. Reflexive Property

4. ΔABD ≅ ΔCBD             4. By S-A-S congruence test

5. ∠A ≅ ∠C                       5. Corresponding parts of congruent Triangles Proved.

Qs 10)

Given:

∠MCI ≅ ∠AIC

MC ≅ AI

To Prove:

ΔMCI ≅ ΔAIC

Proof:

Statement                             Reason

1. ∠MCI ≅ ∠AIC       1. Given

2. MC ≅ AI              2. Given

3. CI ≅ CI                3. Reflexive Property

4. ΔMCI ≅ ΔAIC     4. By S-A-S congruence test

4 0
3 years ago
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Ulleksa [173]

Answer:

2

Step-by-step explanation:

8 0
3 years ago
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