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abruzzese [7]
3 years ago
5

Please help and show work if you can

Mathematics
1 answer:
Kipish [7]3 years ago
3 0

Answer:

x = 3

Step-by-step explanation:

According to Euclidian theorem (x+9)^2 = 18*8

(x+9)^2 = 144 find the root for both sides

x + 9 = 12 subtract 9 from both sides

x = 3

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The speed of a motorcycle increases from 10km/hr to 50km/hr in 9 seconds. What is its acceleration?
ivanzaharov [21]

Acceleration of motorcycle= 1.23m/s^2

Step-by-step explanation:

We need to find the acceleration of motorcycle When its speed increases from 10km/hr to 50km/hr in 9 seconds

Given:

Initial speed= 10km/hr

Final speed= 50km/hr

Time = 9 seconds

Acceleration = ?

Formula: Acceleration =\frac{Change\,\,in\,\,velocity}{time}

Solution:

We will first convert the speed from km/hr to m/s

Converting Initial speed 10km/hr into m/s

1 km = 1000 m

10 km = 10,000 m

and 1 hr = 3600 s

So, Initial speed = 10,000/3600 = 2.77 m/s

Converting Final speed 50km/hr into m/s

1 km = 1000 m

50 km = 50,000 m

and 1 hr = 3600 s

So, Initial speed = 50,000/3600 = 13.88 m/s

Now Using formula of acceleration:

Acceleration =\frac{Change\,\,in\,\,velocity}{time}\\Change\,\,in\,\,velocity =Final\,\,speed-Initial\,\,speed\\Change\,\,in\,\,velocity=13.88 - 2.77\\Change\,\,in\,\,velocity = 11.11 m/s\\Acceleration =\frac{11.11}{9}\\Acceleration =1.23 m/s^2

So, Acceleration of motorcycle = 1.23m/s^2

Keywords: Acceleration, Change in speed

Learn more about Acceleration at:

  • brainly.com/question/5424148
  • brainly.com/question/1386181
  • brainly.com/question/1597065

#learnwithBrainly

6 0
3 years ago
1. A line goes through the points (4, 5) and (2, -6). Write the equation of the line in point-slope form. Show your work for ful
Hitman42 [59]
1. Find Slope
m = y2-y1/x2-x1
m = -6 - 5/2-4
m = -11/-2
m = 11/2

2. Write equation with know information
y = mx + b
y = 11/2x + b


3. Choose any of the two points (doesn’t matter which in you choose) and replace the x and y value into the equation
y = 11/2x + b (4,5)
5 = 11/2(4) + b
5 = 22 + b

Use algebra and solve for b
5 - 22 = b
b = -17

State all the information you know
m = 11/2 b = -17

Write the equation
y = 11/2x - 17
5 0
2 years ago
Which expression is equivalent to 4/6 of 36 ?​
Vera_Pavlovna [14]

Answer:

First, find the answer for 36 ÷ 4. Which is 9.

Now calculate each expression until you get the answer of 9.

4 ÷ 36 = 4 * 1/36 = 4/36 = 1/9

36 ÷ 1/4 = 36 * 4 = 144

1/36 * 1/4 = 1/144

36 * 1/4 = 36/4 = 9

So, the last option is the answer. D. 36 * 1/4.

4 0
2 years ago
Read 2 more answers
Eli has $640 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax.
Irina18 [472]

Answer:

Step-by-step explanation:

First of all we have to discover how much he spent.

356.89 + 2(16.70) + 27.47 = $417.76

Now we have to find how much money he saved

640 - 417.76 = $222.24

the total cost of biking outfits must be eqaua or less than $222.24..

We know the price of a single outift so we can write this inequality:

74.08o ≤ 222.24

we can find o by dividing the two members of the inequality:

o ≤ 222.24/74.08  = 3

o≤ 3

this mean that he can buy 1, 2 or 3 outfits

5 0
3 years ago
Write as many equations as possible that could represent the relationship between
IgorC [24]

Answer:

a) Here we have:

"In Family A, the youngest child is 7 years younger than the oldest, who is 18"

Let's define:

Y = age of the youngest child.

O = age of the oldest child.

Then we know that:

Y = O - 7

O = 18

Then we can replace the second equation into the first one:

Y = 18 - 7 = 11.

b) Here we have:

"In Family B, the middle child is 5 years older than the youngest child."

Let's define:

Y = age of the youngest child.

M = age of the middle child.

Here we have only one equation:

M = Y + 5.

5 0
4 years ago
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