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Bumek [7]
3 years ago
8

Equilateral Triangle MNP has perimeter 12a+18b.

Mathematics
1 answer:
cestrela7 [59]3 years ago
3 0
12 / 3 = 4 and 18 / 3 = 6, you divide it by 3 because there are 3 sides in a triangle so on side is equal to 4a + 6b.
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Evaluate 9 – b when b = 8 what’s <br> the answer
skad [1K]

Answer:

1

Step-by-step explanation:

9-b is the same as 9-8 because b=8. 9-8=1.

7 0
3 years ago
To participate in a competition, each team must follow the rules about the allowable number of adults and children on a team.
Snowcat [4.5K]

Answer:

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7 0
2 years ago
A student multiplies (4+5i) (3-2i) incorrectly and obtains 12-10i what is the students mistakes
Rufina [12.5K]

Answer:

1. In the multiplication of the imaginary parts, the student forgot to square of i. OR

2. The student has only multiplied the real parts and the imaginary parts.

Correct value =22+7i.

Step-by-step explanation:

The given expression is

(4+5i)(3-2i)

A student multiplies (4+5i) (3-2i) incorrectly and obtains 12-10i.

Student's mistake can be either 1 or second:

1. In the multiplication of the imaginary parts, the student forgot to square of i.

2. The student has only multiplied the real parts and the imaginary parts.

(4+5i)(3-2i)=4\times 3+5\times (-2)i=12-10i

Which is not correct. The correct steps are shown below.

Using distributive property, we get

4(3-2i)+5i(3-2i)

4(3)+4(-2i)+5i(3)+5i(-2i)

12-8i+15i-10i^2

12+7i-10(-1)       [\because i^2=-1]

12+7i+10

22+7i

Therefore, the correct value of (4+5i)(3-2i) is 22+7i.

4 0
3 years ago
10. The fifth term of an arithmetic sequence is 11 and the tenth term is 41. What is the first term? ​
9966 [12]

a_{5}=a+4d=11\\a_{10}=a+9d=41

Solve the above equations,

a_{10}-a_{5}=41-11\\a+9d-a-4d=30\\5d=30\\d=6\\a=11-24=-13

First term is -13.

4 0
2 years ago
Read 2 more answers
Tadeo is a beekeeper. The table shows the weekly number of bees producing honey in a new hive. Which expression gives the number
Afina-wow [57]

The exponential equation that gives the number of bees in week 12 is of:

y = 4(3)^{11} = 708588

<h3>What is an exponential function?</h3>

It is modeled by:

y = ab^x

In which:

  • a is the initial value.
  • b is the rate of change.

In this problem, considering that the initial week is the first, and the value triples every week, the expression for the number of bees after x weeks is given by:

y = 4(3)^{x - 1}

Hence, after 12 weeks, the expression is:

y = 4(3)^{11} = 708588

More can be learned about exponential equations at brainly.com/question/25537936

7 0
2 years ago
Read 2 more answers
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