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Setler [38]
3 years ago
12

Select all that are equivalent to 3 square root -40 below

Mathematics
1 answer:
lyudmila [28]3 years ago
4 0

Answer:

6 √(10) i  (the last option)

and 6i√10

Step-by-step explanation:

√-40  = √4 * √-10 = 2√(10) i

3 *  2√(10) i

= 6 √10 i

Also 6i√10  is equivalent

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What is 11/12 – 3/8 <br> A) 2 <br> B) 1/2 <br> C) 13/24 <br> D) 21/32
Pepsi [2]

Hey! Answer to this would be 13/24.

4 0
3 years ago
Read 2 more answers
Write the given trinomial if possible as a square of a binomial or as an expression opposite to a square of a binomial: 15ab-9a^
MrMuchimi

Answer:

- \bigg(3a -  \frac{5}{2} b) \bigg)^{2}

Step-by-step explanation:

15ab-9a^2-6  \frac{1}{4} b^2 \\  \\  = 15ab-(3a)^2-\frac{6 \times 4 + 1}{4} b^2 \\  \\ = 15ab-(3a)^2-\frac{24+ 1}{4} b^2 \\  \\ = 15ab-(3a)^2-\frac{25}{4} b^2 \\  \\   = 15ab- (3a)^2- \bigg(\frac{5}{2} b \bigg)^2  \\  \\ =  -  \{ - 15ab + (3a)^2 +  \bigg(\frac{5}{2} b \bigg)^2  \} \\  \\ =  -  \{ (3a)^2 +  \bigg(\frac{5}{2} b \bigg)^2 - 15ab  \} \\  \\  =   - \bigg(3a -  \frac{5}{2} b \bigg)^{2}

3 0
3 years ago
The perimeter of another quilt had to be 34 feet because he only had that much binding. If he wanted it to be 8 feet long, what
Mila [183]
72ft
you do 8 times 2 is 16
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~JZ

7 0
3 years ago
find the number of terms in an AP given that its first and last terms are 13 and - 23 respectively and that its common differenc
Leokris [45]

Answer:

<u>There are 17 terms in the sequence</u>

Step-by-step explanation:

<u>Arithmetic Sequence </u>

An arithmetic sequence is a list of numbers with a definite pattern by which each term is calculated by adding or subtracting a constant number called common difference to the previous term. If n is the number of the term, then:

a_n=a_1+(n-1)r

Where an is the nth term, a1 is the first term, and r is the common difference.

In the problem at hand, we are given the first term a1=13, the last term an=-23, and the common difference r=-2 1/4. Let's solve the equation for n:

\displaystyle n=1+\frac{a_n-a_1}{r}

We need to express r as an improper or proper fraction:

\displaystyle r=-2\frac{1}{4}=-2-\frac{1}{4}=-\frac{9}{4}

Substituting:

\displaystyle n=1+\frac{-23-13}{-\frac{9}{4}}

\displaystyle n=1+\frac{-36}{-\frac{9}{4}}

\displaystyle n=1+36*\frac{4}{9}=17

n=17

There are 17 terms in the sequence

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3 years ago
Verify/prove the following trigonometric identity:
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Answer:

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