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Ad libitum [116K]
2 years ago
11

Write an equation in point-slope form of

Mathematics
1 answer:
Brut [27]2 years ago
7 0

Answer:

(y+3)=2(x-5)

Step-by-step explanation:

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6. An ostrich cannot fly, but it is able to run fast. Suppose an ostrich runs east for 7.95 s and then runs 161 m south, so that
Liula [17]

Answer:

159 m

Step-by-step explanation:

From the information given:

It was stated that if the ostrich ran towards the east direction in 7.95 s, let say the distance from the starting point is O towards the east side E, let called the distance towards the east side to be OE.

Again, the ostrich then runs in the south direction for 161 m, let the distance be OS.

Also, let the magnitude of the resultant displacement between the east direction to the south direction be ES = 226m.

We are to find, the magnitude of the ostrich's eastward component.

i.e. The distance traveled from the center to the east direction within the time frame of 7.95 s.

Using the Pythagoras rule:

ES² = OE² + OS²

226² = OE² + 161²

226² -  161² = OE²

OE²  =  226² -  161²

OE²  = 51076 - 25921

OE²  =  51076 - 25921

OE²  =  25155

OE = \sqrt{25155}

OE =  158.60 m

OE ≅ 159 m

Thus, the magnitude of the ostrich's towards the eastward component. = 159 m.

4 0
3 years ago
Solve for x. 89(54x−36)+2=−34(−40+16x)+90x
krok68 [10]
Eliminate parentheses using the distributive property.
  4806x -3204 +2 = 1360 -544x +90x
  5260x = 4562
  x = 4562/5260
  x = 2281/2630
7 0
3 years ago
Find | P |<br><br> a. 15<br> b. 22<br> c. 24<br> d. 8
ankoles [38]

Answer:

c. 24

Step-by-step explanation:

15+9=24

5 0
3 years ago
–6 + (–12)<br><br> Evaluate the expression
Bezzdna [24]

Answer:

-18

Step-by-step explanation:

You can basically just drop the plus sign and remove the parenthesis because the plus sign doesn't alter negatives.

-6+(-12)

-6-12= -18

6 0
3 years ago
Read 2 more answers
Assume the random variable X has a binomial distribution with the given probability of obtaining a success. Find the following p
ollegr [7]

Use the PMF for the given distribution:

P(X=x) = \begin{cases}\dbinom{15}x 0.8^x (1-0.8)^{15-x} & \text{if } x \in\{0, 1, 2, \ldots, 15\} \\ 0 & \text{otherwise}\end{cases}

Then the probability that X = 14 is

P(X=14) = \dbinom{15}{14} 0.8^{14} 0.2^1 \approx \boxed{0.1319}

6 0
2 years ago
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