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jeka57 [31]
2 years ago
9

Simplify the scalar multiplication on the matrix.

Mathematics
1 answer:
Romashka-Z-Leto [24]2 years ago
7 0

Answer:

third option

Step-by-step explanation:

Given

3 \left[\begin{array}{ccc}-2&5\\1&0\\\end{array}\right]

Multiply each element in the matrix by 3

= \left[\begin{array}{ccc}3(-2)&3(5)\\3(1)&3(0)\\\end{array}\right]

= \left[\begin{array}{ccc}-6&15\\3&0\\\end{array}\right]  

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You plant a rectangular rose garden along the side of your garage. You enclose 3 sides of the garden with 40 feet of fencing. Th
solmaris [256]

Let's assume

length of rectangle =L

width of rectangle =W

You enclose 3 sides of the garden with 40 feet of fencing

so, we get

L+2W=40

now, we can solve for L

L=40-2W

we know that

area of rectangle is

A=L*W

100=L*W

now, we can plug

100=(40-2W)*W

now, we can solve for W

-2W^2+40W-100=0

we can use quadratic formula

W=\frac{-40+\sqrt{40^2-4\left(-2\right)\left(-100\right)}}{2\left(-2\right)}

W=\frac{-40-\sqrt{40^2-4\left(-2\right)\left(-100\right)}}{2\left(-2\right)}

we can take anyone value ..because both are giving positive value

first dimensions:

W=2.929

now, we can find L

L=40-2*2.929

L=34.142

so, length is 34.142feet

width is 2.929 feet

Second dimensions:

W=17.071

now, we can find L

L=40-2*17.071

L=5.858

so, length is 5.858feet

width is 17.071 feet



6 0
3 years ago
A triangular prism has a height of 9 meters and a triangular base with the following dimensions
nadya68 [22]

Answer:

b 432m

Step-by-step explanation:

A triangular prism has a height of 9 meters and a triangular base with the following dimensions

What is the volume of the prism?

Answers: 420m, 432m, 288m 324m

7 0
2 years ago
Read 2 more answers
A couple has 2 children. what is the probability that both are girls if the older of the two is a girl?
12345 [234]
Assuming that the probability of boys and girls is equal (in reality slightly more boys than girls are born), the probability is 1/2, simply because the older girl's gender is given and therefore not a part of the probability.

This question comes from the 'boy or girl paradox', a.k.a. the Mrs Smith Problem.
7 0
3 years ago
Which of the following are prime factorizations of the number 70? Check all<br> that apply.
Shtirlitz [24]

The prime factorization of 70 is 2*5*7

Further explanation:

First of all let us define prime factorization

Prime factorization consists of all the prime multiples of a number i.e. the factors should also be prime numbers

Given number is 70

The multiples of 70 are

70 = 2*35 => 35 is composite number

70 = 5*14 => 14 is a composite number

70 = 7*10 => 10 is a composite number

70 = 2*5*7 => All factors are prime so

The prime factorization of 70 is 2*5*7

Keywords: Factorization, Prime factors

Learn more about prime factorization at:

  • brainly.com/question/12938965
  • brainly.com/question/13018049

#LearnwithBrainly

4 0
3 years ago
What’s the ratio to 2 to 3
ozzi

Answer:

2/3 2:3 2 to 3

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
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