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2 years ago

What is a equivalent expression for (x+1)(x+3) in expanded form

Mathematics

2 answers:

erastova [34]2 years ago

7 0

Using FOIL method

x(x)+x(3)+1(x)+1(3)

x^2+3x+x+3

x^2+4x+3 thats your expanded form

Agata [3.3K]2 years ago

5 0

$x^{2} +4x+3$

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The measure of angle A is 15°, and the length of side

dangina [55]

Answer:

Part 1) $AB=30.9\ units$

Part 2) $AC=29.9\ units$

Step-by-step explanation:

The picture of the question in the attached figure

Part 1

Find the length side AB

we know that

$sin(A)=\frac{BC}{AB}$ ----> by SOH (opposite side divided by the hypotenuse)

substitute the given values

$sin(15^o)=\frac{8}{AB}$

solve for AB

$AB=\frac{8}{sin(15^o)}=30.9\ units$

Part 2

Find the length side AC

we know that

$tan(A)=\frac{BC}{AC}$ ----> by TOA (opposite side divided by the adjacent side)

substitute the given values

$tan(15^o)=\frac{8}{AC}$

solve for AC

$AC=\frac{8}{tan(15^o)}=29.9\ units$

8 0

2 years ago

Please answer the question from the attachment.

lozanna [386]

6×64=384 ounces of juice

4 0

3 years ago

Read 2 more answers

How many 5-letter words can be made using exactly 5 of the letters from

kow [346]

The total number of ways by words are formed is 35 ways.

According to the statement

We have given that the 5 letters and we have to make word from them and the letters are repeated as equal to letters in given words.

And we have to find the possible ways.

So, The given words are:

TEXAS and MEXICO

Here X = 2 and E = 2 and all other words are one time used words.

We can find possible ways by use of combination and permutation.

So,

Total number of ways = $3C_{1} ^{5} + 2C_{2} ^{5}$

here 3 because three letters are not repeatable and 2 letters are repeated for 2 times.

So,

Total number of ways = $3C_{1} ^{5} + 2C_{2} ^{5}$

Total number of ways = $3(\frac{5!}{1!} ) + 2(\frac{5!}{2!*3!} )$

Total number of ways = $3(5) + 2(10)$

Total number of ways = 15 + 20

Total number of ways = 35.

So, The total number of ways by letters are formed is 35 ways.

Learn more about combination and permutation here

brainly.com/question/11732255

#SPJ1

3 0

1 year ago

Standard form of a line passing through points (1, 3) and (-2, 5)

____ [38]

Answer:

Step-by-step explanation:

As we move from (-2, 5) to (1, 3), x increases by 3 and y decreases by 2.

Hence, the slope of this line is m = rise / run = -2/3.

Start with the slope-intercept form y = mx + b.

Substitute 3 for y and 1 for x and -2/3 for m:

3 = (-2/3)(1) + b.

Remove fractions by mult. all three terms by 3:

9 = -2 + b, so b = 11, and y = (-2/3)x + 11

Again, mult. all three terms by 3:

3y = -2x + 33, or, in standard form,

6 0

2 years ago

Look at the triangle below which of the following represents two of the angle measures of the triangle

Gelneren [198K]

Answer:

C. 60° and 80°

Step-by-step explanation:

Sum of triangle = 180°

Therefore,

8x + 4 + 6x - 2 + 10x + 10 = 180

Add like terms

8x + 6x + 10x + 4 - 2 + 10 = 180

24x + 12 = 180

24x = 180 - 12

24x = 168

x = 168/24

x = 7

Find each measure of the angles by substitute x = 7 into each expression

8x + 4 = 8(7) + 4 = 60°

6x - 2 = 6(7) - 2 = 40°

10x + 10 = 10(7) + 10 = 80°

The answer is 60° and 80°

6 0

2 years ago