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e-lub [12.9K]
2 years ago
6

Write a linear expression in simplest form to represent the perimeter of the triangle.

Mathematics
1 answer:
pav-90 [236]2 years ago
7 0

Answer:

x +5

Step-by-step explanation:

5x-2+3x+4+2x+9

5x-2x=3x

3x-3x=x

-2+2=0

0+4=4

4-9 =5

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Braydon is at the 10-mile Marker at the park to run. He can run at a pace of 3 miles per hour. Lauren is at the 12-mile marker a
madreJ [45]

it will take 1.33 hours for Braydon and Lauren to  get to the same mile marker on the path in the  park .

<u>Step-by-step explanation:</u>

Here we have , Braydon can run at 3 miles per hour , he's initially at 10 mile marker . Lauren is at the 12-mile marker at the park, She is walking at a pace of 1.5 miles per hour. We need to find How long will it take for Braydon and Lauren to  get to the same mile marker on the path in the  park .Let's find out:

Let after time t they meet each other so ,  Braydon can run at 3 miles per hour , he's initially at 10 mile marker . Distance traveled is given by :

⇒ 3t+10

Now , Lauren is at the 12-mile marker at the park, She is walking at a pace of 1.5 miles per hour , Distance traveled is given by :

⇒ 1.5t + 12

Equating both we get :

⇒ 3t+10=1.5t+12

⇒ 1.5t=2

⇒ t=\frac{2}{1.5}

⇒ t=1.33

Therefore , it will take 1.33 hours for Braydon and Lauren to  get to the same mile marker on the path in the  park .

7 0
3 years ago
What is 329 to the nearest 100
yuradex [85]
Here we will tell you what 329 is rounded to the nearest hundred and also show you what rules we used to get to the answer. First, 329 rounded to the nearest hundred is:

300

<span>Remember, we did not necessarily round up or down, but to the hundred that is nearest to 329.</span>
5 0
3 years ago
Read 2 more answers
Consider the cubic function f(x) = x^3 + ax^2 + bx + 4 where (a) and (b) are constants. When f(x) is divided by x-3, the remaind
Debora [2.8K]

Answer:

see explanation

Step-by-step explanation:

Using the Remainder theorem

If f(x) is divided by (x - h) then f(h) = remainder, thus

f(3) = 3³ + a(3)² + b(3) + 4 = 10, that is

27 + 9a + 3b + 4 = 10

9a + 3b + 31 = 10 ( subtract 31 from both sides )

9a + 3b = - 21 → (1)

f(- 1) = (- 1)³ + a(- 1)² + b(- 1) + 4 = 6, that is

- 1 + a - b + 4 = 6

a - b + 3 = 6 ( subtract 3 from both sides )

a - b = 3 → (2)

Rearrange (2) expressing a in terms of b

a = 3 + b → (3)

Substitute a = 3 + b into (1)

9(3 + b) + 3b = - 21 ← distribute and simplify left side

27 + 9b + 3b = - 21

12b + 27 = - 21 ( subtract 27 from both sides )

12b = - 48 ( divide both sides by 12 )

b = - 4

Substitute b = - 4 into (3)

a = 3 - 4 = - 1

Hence a = - 1 and b = - 4

8 0
3 years ago
Which of the set of ordered pairs contains the line<br> 1/3 x+y= 15.
Dima020 [189]

Answer: c

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Adult men have heights with a mean of 69. 0 inches and a standard deviation of 2. 8 inches. find the z-score of a man who is 71.
Anarel [89]

The value of the z score is 1.03.

According to the statement

we have given that the value of mean and standard deviation and we have to find the value of the z score.

So, For this purpose we know that the

Z-score indicates how much a given value differs from the standard deviation. The Z-score, or standard score, is the number of standard deviations a given data point lies above or below mean.

And the given values are:

mean value = 69 inches

s.d value = 2.8 inches

And the value of x is 71.9 inches.

So, The Z score is

z = x - mean / standard deviation

substitute the values in it then

z = 71.9 - 69 / 2.8

then

z = 2.9 /2.8

z  = 1.03

So, The value of the z score is 1.03.

Learn more about Z Score here

brainly.com/question/25638875

#SPJ4

8 0
1 year ago
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