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3 years ago

Slope intercept form

Mathematics

1 answer:

sergij07 [2.7K]3 years ago

4 0

Answer:

9) $y=-\frac{1}{8} x+\frac{13}{8}$

10) $y = -1$

11) $y=-\frac{5}{2}x$

12) $y= -\frac{4}{3}x+1$

Step-by-step explanation:

Parallel lines have same slope and slopes of perpendicular lines are negative reciprocals of each other.

9) through (-3, 2), parallel to $y=-\frac{1}{8} x +4$

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

$y-2=-\frac{1}{8} (x+3)$

$y=-\frac{1}{8} x-\frac{3}{8} +2$

10) through (-5, -1), parallel to $y=0$

$y+1=0 (x+5)$

$y = -1$

11) through (2, -5), perpendicular to $y= \frac{2}{5} x +5$

$y+5=-\frac{5}{2} (x-2)$

$y=-\frac{5}{2}x+5-5\\y=-\frac{5}{2}x$

12) through (-3, 5), perpendicular to $y= \frac{3}{4} x$

$y-5=-\frac{4}{3} (x+3)$

$y= -\frac{4}{3}x-4 +5$

$y= -\frac{4}{3}x+1$

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Hey there!

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3 years ago

Only answer #5 Please help me and thx and if u can answer #6 too if u can

Marianna [84]

Answer:

5. D

6. C

Step-by-step explanation:

Question 5

Lets plug in values of x and y into each equation to see which one works for the entire data set...

y=2x-4

1) Plug in -7 as x and -18 as y:

-18=2(-7)-4

2) Multiply:

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3) Subtract:

-18=-18

The answers are the same, therefore the correct answer to question 5 is equation D. Keep in mind, you want to check ever single pair of points to make sure it works for all of them, I'm just not going to list that as it would make this answer a lot longer for no reason.

Question 6:

We know that the cost for the boat is $25 as a base price, and also costs an additional $1.30 per day for fuel.

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3 years ago

What is the slope of the following equation?

bulgar [2K]

Answer:

the slope is 4/1 which is 4

Step-by-step explanation:

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So the slope is 4

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3 years ago

Judge the following reasoning as true or false.

alex41 [277]

Answer: B

Step-by-step explanation:

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4 years ago

. Formulate the situation as a system of two linear equations in two variables. Be sure to state clearly the meaning of your x-

Ksenya-84 [330]

Answer:

A. x = 16 , y = 34

B x = 2000, y = 1000

Step-by-step explanation:

Solution:-

- We will first define our variables ( x and y ) as follows:

x: The number of "nickels" in the jar

y: The number of "dimes" in the jar.

- Nest we will write down the rates of nickel and dime in dollar equivalent as ( P_n and P_d, respectively ) as follows:

P_n = $0.05 ... ( 5 cents )

P_d = $0.10 ... ( 10 cents )

- We are told that the jar contains a total of "50" coins comprised of nickel and dimes. Since, we don't know the exact amount of nickel and dimes in the jar. We will express the statement mathematically using the previously defined variables as follows:

$x + y = 50$ ... Eq1

- Secondly, the total worth of the jar is given to be " $4.2 ". The respectively value of each coin was iterated above. We will compute the total worth of the jar by expressing in terms of x and y as follows:

$P_n*x + P_d*y = 4.2\\\\0.05x + 0.1*y = 4.2$ ... Eq 2

- We have two equations [ Eq1 and Eq2 ] comprising of two variables. We can solve them simultaneously for a unique solution ( x and y ).

- To solve by elimination. We will first multiply the [ Eq1 ] by "- 0.1 " throughout as follows:

$-0.1x - 0.1y = -5\\\\0.05x + 0.1y = 4.2$

- Now we will add the two equations and eliminate the variable " y " and solve for " x ":

$-0.05x = -0.8\\\\x = 16$

- Now plug the value of " x " in either of the derived equations and solve for "y":

$y = 50 - 16\\y = 34$

Answer: There are 16 nickels and 34 dimes in the jar of total worth $4.2.

- We will first define our variables ( x and y ) as follows:

x: The number of "sodas" sold

y: The number of "hot dogs" sold.

- Nest we will write down the rate charged for soda and hot-dogs equivalent as ( P_s and P_h, respectively ) as follows:

P_s = $2 / soda

P_h = $3 / hot-dog

- We are told that " 3000 " sodas and hot-dogs were sold at the concession stand . Since, we don't know the exact amount of sodas and hot-dogs sold. We will express the statement mathematically using the previously defined variables as follows:

$x + y = 3000$ ... Eq1

- Secondly, the total amount expressed on the receipts after selling "x" many sodas and " y " many hot--dogs was " $7000 ". The respectively value of each commodity sold was iterated above. We will compute the total value of items sold by expressing in terms of x and y as follows:

$P_s*x + P_h*y = 7000\\\\2x + 3y = 7000$ ... Eq 2

- We have two equations [ Eq1 and Eq2 ] comprising of two variables. We can solve them simultaneously for a unique solution ( x and y ).

- To solve by elimination. We will first multiply the [ Eq1 ] by "-2 " throughout as follows:

$-2x - 2y = -6000\\\\2x + 3y = 7000$

- Now we will add the two equations and eliminate the variable " x " and solve for " y ":

$y = 1000$

- Now plug the value of " y " in either of the derived equations and solve for "x":

$x = 3000 - 1000\\\\x = 2000$

Answer: The concession sold 2000 sodas and 1000 hot-dogs of total worth $7000.

8 0

3 years ago