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3 years ago

Which of the following point-slope form equations could be produced with the points (-5, -2) and (1, 2)?

Mathematics

1 answer:

Harman [31]3 years ago

7 0

The point-slope form:

$y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}$

We have the points (-5, -2) and (1, 2). Substitute:

$m=\dfrac{2-(-2)}{1-(-5)}=\dfrac{2+2}{1+5}=\dfrac{4}{6}=\dfrac{2}{3}\\\\y-(-2)=\dfrac{2}{3}(x-(-5))\\\\\y+2=\dfrac{2}{3}(x+5)\to c.$

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the library labels each book with five digit code to identify the books in their computer system each code is 3 digits(0-9)follo

kodGreya [7K]

Answer:

676000

Step-by-step explanation:

3 digits of the 5-digit code are number 0-9 which is 10 numbers that could go into that spot, after the three digits there are two letters and because there are 26 letters in the alphabet you would multiply 10*10*10*26*26 which equals 676000

5 0

3 years ago

Find all the missing dimensions when a=9, b=13, c=64°

DerKrebs [107]

Answer:

Part 1) $c=12.14\ units$

Part 2) $m\angle A=41.78^o$

Part 3) $m\angle B=74.22^o$

Step-by-step explanation:

step 1

Find the measure of side c

Applying the law of cosines

$c^2=a^2+b^2-2(a)(b)cos(C)$

we have

$a=9\ units\\b=13\ units\\C=64^o$

substitute

$c^2=9^2+13^2-2(9)(13)cos(64^o)$

$c^2=81+169-234cos(64^o)$

$c^2=250-234cos(64^o)$

$c^2=147.4212$

$c=12.14\ units$

step 2

Find the measure of angle A

Applying the law of sines

$\frac{a}{sin(A)}=\frac{c}{sin(C)}$

substitute the given values

$\frac{9}{sin(A)}=\frac{12.14}{sin(64^o)}$

solve for sin(A)

$sin(A)=\frac{sin(64^o)}{12.14}(9)$

$sin(A)=0.6663$

$m\angle A=sin^{-1}(0.6663)=41.78^o$

step 3

Find the measure of angle B

we know that

The sum of the interior angles in any triangle must be equal to 180 degrees

$m\angle A+m\angle B+m\angle C=180^o$

substitute the given values

$41.78^o+m\angle B+64^o=180^o$

$m\angle B+105.78^o=180^o$

$m\angle B=180^o-105.78^o$

$m\angle B=74.22^o$

5 0

3 years ago

Two angles of a triangle have equal measures, but the third angle's measure is 36° less than the sum of the other two. Find the

zimovet [89]

<span>Draw a triangle and label is ABC.
Let angle A = x
let angle B = x
let angle C = 2x - 36
2x - 36 means that angle C is 36 degrees less than the sum of angle A and B.
Since the sum of the interior angles of a triangle is 180 degrees, then 2x + 2x - 36 = 180.

combine like terms in that equation and you get 4x - 36 = 180
add 36 to both sides of that equation and you get 4x = 216
divide both sides of that equation by 4 and you get x = 54 degrees
angle A = 54 degrees
angle B = 54 degrees
angle C = 108 - 36 = 72 degrees
54 + 54 + 72 = 108 + 72 = 180 degrees so the angles are good because they add up to 180 degrees and the third angle is 36 degrees less than the sum of the other 2. </span>

8 0

3 years ago

Please help quickly as possible Thank you!

sweet-ann [11.9K]

Answer:

A) $\frac{3}{8}$ , $\frac{2}{5}$ , $\frac{1}{2}$ , $\frac{7}{10}$

B) 2.53, 32.51, 514.37

Step-by-step explanation:

A) Multiply all of them to equal 80

1/2 = 40/80 (1 x 40) (2 x 40)

2/5 = 32/80 (2 x 16) (5 x 16)

3/8 = 30/80 (3 x 10) (8 x 10)

7/10 = 56/80 (7 x 8) (10 x 8)

B) Decimals are easy 1.10 < 1.20 since one is still greater than the other.

7 0

3 years ago

5500 milliliters equal how many liters show work

Eva8 [605]

Answer:

5.5 liters

Step-by-step explanation:

1 milliliter equals to 1/1000 part of a liter, which is 0.001 liter.

1 milliliter = 1 * 0.001 liter

So if you have 5500 milliliters that means it equals to 5500 times one milliliters and 1 milliliter = 1 * 0.001 liter, so for 5500 milliliters it is 5500 times as much

5500 * 0.001

5500 * 1/1000

5500 / 1000

5.5 liters

As long as you know this number 0.001 , then it is easily to calculate between liters and milliliters.

EXTRA:

To convert from amount A which is given in a certain quantity, to another quantity, you sometimes have to multiply and in other cases you need to divide by a certain factor. The factor defines the relationship between the quantities.

Suppose you have 1000 times 1 milliliter then you can find the amount in liters by multiplying that number of milliliters times 0.001.

It is easy to see that

1000 * 1/1000

1000 / 1000

= 1 liter, but that is easy, because I choose an easy number for the amount of milliliters to convert into liters. But it works exactly the same for any amount!

8 0

3 years ago

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