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3 years ago

Find the slope and y-intercept of the line that is y=x−2 and passes through the point (2,4).

Mathematics

1 answer:

EastWind [94]3 years ago

7 0

Answer:

<em>Y intercept is -2 and slope is 1 </em>the "and passes through the point

(2,4)." is irrelevant. I hope i could help. I would appreciate if you could Rate Me Brainleist.

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If 2 is added to both the numerator and denominator of a fraction its value becomes half. If two is subtracted from both the num

Hitman42 [59]

Answer:

The original fraction is $\frac{6}{14}$ .

Step-by-step explanation:

Solution,

Let the fraction be' $\frac{x}{y}$ '.

Where 'x' is the numerator and 'y' is the denominator.

Now according to question, if 2 is added to both the numerator and denominator the value of the fraction becomes 1/2.

So, framing the above sentence in equation form, we get;

$\frac{x+2}{y+2}=\frac{1}{2}$

On using cross multiplication method, we get;

$2(x+2)=y+2\\\\2x+4=y+2\\\\2x+4-2=y\\\\\therefore\ y=2x+2\ \ \ \ equation\ 1$

Now according to question, if 2 is Subtracted to both the numerator and denominator the value of the fraction becomes 1/3.

So, framing the above sentence in equation form, we get;

$\frac{x-2}{y-2}=\frac{1}{3}$

On using cross multiplication method, we get;

$3(x-2)=y-2\\\\3x-6=y-2\\\\3x-y=-2+6\\\\3x-y=4 \ \ \ \ equation\ 2$

Now Substituting the equation 1 in equation 1 we get;

$3x-y=4\\\\3x-(2x+2)=4\\\\3x-2x-2=4\\\\3x-2x=4+2\\\\x=6$

Now Substituting the value of x in equation 1 we get;

$y=2x+2\\\\y=2\times6+2 = 14$

Hence The original fraction is $\frac{6}{14}$ .

4 0

3 years ago

What is the sum of 6 feet 10 inches and 8 feet 9 inches

sertanlavr [38]

The answer is 15 foot 7 inches or 187 inches.

3 0

4 years ago

Read 2 more answers

Find sin A for the triangle below. Give the exact value as an expression and an approximation to the nearest ten-thousandth. Not

Feliz [49]

the exact value of sin A to the nearest ten- thousandth is 0. 6625

<h3>Using the pythagorean theorem</h3>

a² + b² = c²

The opposite side is unknown, so use the pythagorean theorem to find it

c = hypotenuse = 4

a= opposite site = ?

b= adjacent side = 3

Substitute into the formula

4² = a² + 3²

16 = a² + 9

a² = 16 -9 = 7

Find the square root

a =√7 = 2. 65

To find Sin A, use

Sin A = opposite side ÷ hypotenuse

Sin A = 2. 65 ÷ 4 = 0. 6625

Thus, the value of sin A is 0. 6625

Learn more about pythagorean theorem here:

brainly.com/question/654982

#SPJ1

7 0

2 years ago

3 times the sum of a number and 4

Lyrx [107]

Answer:

3(4+x)

which can be simplified to 12+3x

4 0

3 years ago

Mark tosses a coin 25 times. What is the probability that it lands on heads exactly seven times?

mezya [45]

Answer:

1.43%

Step-by-step explanation:

we have that we can solve it by means of binomial, in this case m = 25. Also the probability of head is 50%. we need to know when it falls 7 times, therefore x = 7

the formula is:

P (x) = mCx * p ^ x * q ^ (m-x)

we know that p is 0.5 therefore q is equal to 0.5, replacing:

P (7) = 25C7 * 0.5 ^ 7 * 0.5 ^ (25-7)

P (7) = 25! / (7! * (25-7)!) * 0.5 ^ 7 * 0.5 ^ (25-7)

P = 0.0143

that is, the probability is 1.43%

6 0

3 years ago