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3 years ago

Write the equation of the line in Point-Slope Form

Mathematics

1 answer:

katrin [286]3 years ago

4 0

17.

The point-slope form:

$y-y_1=m(x-x_1)$

We have slope=m=8, and the point (-5, -3). Substitute:

$y-(-3)=8(x-(-5))\\\\\boxed{y+3=8(x+5)}$

18.

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

We have the points (3, 4) and (15, 10). Substitute:

$m=\dfrac{10-4}{15-3}=\dfrac{6}{12}=\dfrac{1}{2}$

The point-slope form:

$\boxed{y-4=\dfrac{1}{2}(x-3)}$

$\boxed{y-10=\dfrac{1}{2}(x-15)}$

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What is the answer? please tell me i am desperate!?

solniwko [45]

Okay so this is easy conversion.
40 quarters=10$
60 dimes =24 quarters
30 dimes= 12 quarters=3$
200 dimes=80 quarters

6 0

3 years ago

The weather forecast says that the probability of being cloudy tomorrow is 30% and the probability of raining is 25%. If it is c

Bumek [7]

<h3>Answer:</h3>

$\large\boxed{C).\,13.5\%}$

<h3>Step-by-step explanation:</h3>

In this question, we're trying to find the probability of it being cloudy and raining.

In this case, we know that:

Probability of it being cloudy is 30%
Probability of it raining is 25% (this is necessarily not needed)
If it's cloud, the probability of it raining is 45%

With the information above, we can find the probability.

We know that from a 100% scale, the chance of it being cloudy is 30%.

We know that if it's cloudy, the chances of raining is 45%

To find the probability of it being cloudy and raining, we would multiply 0.3 (30%) by 0.45 (45%)

Solve:

$0.3*0.45=0.135\\\\\text{Move the decimal place two times to the right}\\\text{to turn it into a percent}\\\\\boxed{13.5\%}$

Your answer would be C). 13.5%

<h3>I hope this helped you out.</h3><h3>Good luck on your academics.</h3><h3>Have a fantastic day!</h3>

6 0

3 years ago

Bob believes his test grade varies directly with the number of hours he spends studying and inversely with the number of hours h

Readme [11.4K]

Answer: Hello mate!

A direct variation implies that, if y is the dependent variable that varies with the variable x; then: y = k*x where k is a real number.

An inverse variation has the form y = k/x where also k is a real number.

them, if we define s as the hours that Bob spends studying, and b as the hours that he spends playing baseball, then the equation that represents the score is:

Score(s,b) = k*s/b

we know that if s = 6, and b = 7, then the score is 72; with this information, we could obtain the value of the constant k.

score(6,7) = 72 =k*6/7 = k*

then k = 72*(7/6) = 61.7

now if s = 4 and b = 6, the score that he should expect is:

score( 4, 6) = 61.7*(4/6) = 41

6 0

3 years ago

A group of people were asked if they had run a red light in the last year. 386 responded "yes", and 137 responded "no". Find the

ludmilkaskok [199]

Answer: The probability would 0.35770234986 or 35%

Step-by-step explanation:

3 0

3 years ago

A jar contains n nickels and d dimes. There is a total of 253 coins in the jar. The value of the coins is $15.95. How many nicke

defon

There are 187 nickels and 66 dimes in the jar.

Step-by-step explanation:

Given,

Total coins = 253

Value of coins = $15.95 = 15.95*100 = 1595 cents

Value of each nickel = 5 cents

Value of each dime = 10 cents

According to given statement;

x+y=253 Eqn 1

5x+10y=1595 Eqn 2

Multiplying Eqn 1 by 5

$5(x+y=253)\\5x+5y=1265\ \ \ Eqn\ 3$

Subtracting Eqn 3 from Eqn 2

$(5x+10y)-(5x+5y)=1595-1265\\5x+10y-5x-5y=330\\5y=330$

Dividing both sides by 5

$\frac{5y}{5}=\frac{330}{5}\\y=66$

Putting y=66 in Eqn 1

$x+66=253\\x=253-66\\x=187$

There are 187 nickels and 66 dimes in the jar.

Keywords: linear equation, elimination method

Learn more about elimination method at:

#LearnwithBrainly

5 0

3 years ago