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igomit [66]
3 years ago
6

Multiply (3x – 5y)(2x + 3y)

Mathematics
1 answer:
Ghella [55]3 years ago
8 0

Answer:

6x² - xy - 15y²

Step-by-step explanation:

To multiply these two binomials together, we can use FOIL. FOIL stands for:

First: Multiply the first terms of the binomials together.

Outer: Multiply the first term of the first binomial by the second term of the second binomial.

Inner: Multiply the second term of the first binomial by the first term of the second binomial.

Last: Multiply the second (last) terms of the two binomials together.

(3x - 5y)(2x + 3y) = (3x)(2x) + (3x)(3y) + (-5y)(2x) + (-5y)(3y)

= 6x² + 9xy - 10xy - 15y²

= 6x² - xy - 15y²

I hope you find my answer helpful.

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Rasek [7]
Here, you do the same as the previous one, keeping in mind that X cuts TW in a 2:1 ratio.

\bf TW-TX=XW\implies \cfrac{8a}{5}+\cfrac{1}{10}-\left(a +\cfrac{4}{5} \right)=XW
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\cfrac{8a}{5}+\cfrac{1}{10}-a-\cfrac{4}{5}=XW\implies \cfrac{3a}{5}-\cfrac{7}{10}=XW\\\\
-------------------------------\\\\

\bf TX:XW\qquad 2:1\qquad \cfrac{TX}{XW}=\cfrac{2}{1}\implies \cfrac{a+\frac{4}{5}}{\frac{3a}{5}-\frac{7}{10}}=\cfrac{2}{1}
\\\\\\
\cfrac{\frac{5a+4}{5}}{\frac{6a-7}{10}}=\cfrac{2}{1}\implies \cfrac{5a+4}{5}\cdot \cfrac{10}{6a-7}=\cfrac{2}{1}\implies \cfrac{10a+8}{6a-7}=\cfrac{2}{1}
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10a+8=12a-14\implies 22=2a\implies \cfrac{22}{2}=a\implies 11=a
6 0
3 years ago
What is the measure of angle B in the triangle?
dexar [7]

Answer:

22°

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5 0
2 years ago
What is the result when −2/3 subtracted from −14/15?
disa [49]

Step-by-step explanation:

14/15 - 2/3 =

14/15 and 2/3 lcm is 15

so 14/15 becomes 14/15

- 2/3 become 10/15

15÷5=3 and 10÷5=2

so 14/15

-10/15=4/15

14-10 = 4

answer is 4/15 and since 15 can't be divided by 4 equally it is in simplest form at 4/15

7 0
3 years ago
PLEASE HELP
elixir [45]

Answer:

Ratio states that it shows the relative sizes of two or more values.

i,e a to b or a: b or \frac{a}{b}

(1)

Given the statement: A zoo has 17 monkeys and 12 chimpanzees

Write this situation in three ways, comparing the first quantity to the second quantity.

By definition of ratio:

Ratio in three ways are:

17 to 12

17 : 12

\frac{17}{12} or we can write this as 17 over 12.

therefore, Option B is correct.

(2)

As per the statement: In Largo City, about one in every nine homes contains four televisions

Write this situation in three ways in the form of ratio, comparing the first quantity to the second quantity.

By definition of ratio:

Ratio in three ways are:

4 to 9

4 : 9

\frac{4}{9}

therefore, only options C is correct.

(3)

write three ratios for 7 over 35

By definition of ratio;

We have;

\frac{7}{35}

Divide both numerator and denominator by 7 we have;

\frac{1}{5}               .....[A]

⇒ \frac{7}{35} =\frac{1}{5}

Multiply both numerator and denominator by 2 in A we get;

\frac{1}{5} = \frac{1 \times 2}{5 \times 2} = \frac{1}{10}

Similarly,

Multiply both numerator and denominator by 3 in A, we get

\frac{1}{5} = \frac{1 \times 3}{5 \times 3} = \frac{3}{15}

Therefore, 3 ratios equal to  7 over 35 are;

\frac{1}{5} or we can write it as one-fifth

\frac{2}{10} or two -tenths

\frac{3}{15} or three over fifteen

hence, Option D is correct.

(4)

Given the statement: Jake sold 28 tickets to the school fair, and Jeanne sold 21 tickets

Number of ticket Jake sold = 28 ticket.

Number of ticket Jeanne sold = 21 ticket.

To find: Number of ticket Jeanne sold to number of ticket Jake sold.

By definition of ratio

⇒\frac{21}{28}

Therefore, the ratio in simplest form is, \frac{21}{28}


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