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3 years ago

How would I solve this?

Mathematics

1 answer:

romanna [79]3 years ago

3 0

16 laps would be 6400 m

16 times 400 is 6400m

1/3 of 400 is 133m

6400+133= 6533m

the answer is 6533m

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Find the equation of the line through point (3,−3) and parallel to y=3x−4. Use a forward slash (i.e. "/") for fractions (e.g. 1/

exis [7]

Answer:

y =3x - 12

Step-by-step explanation:

I'm fairly certain this is the answer.

Consider the point (3,-3). In terms of variables this is written (x,y).

Remember that the equation for slope is y = mx + b.

In that equation, "b" is your y-intercept, and "m" is your slope.

If 2 lines are parallel, they have the same slope but different y-intercepts. So you can use the slope from the equation y=3x-4 to find the parallel line. You can also plug in the values 3 and -3 to solve for b, our y-intercept.

If we set up the equation, we have -3 = 3(3) + b.

Now solve for b.

-3 = 9 + b

Combine like terms, so that -12 = b, and you have your y-intercept.

To create the equation, take out the coordinate pair that the line passes through, and only have the SLOPE and the Y-INTERCEPT showing in the equation.

Therefore, y = 3x - 12

5 0

3 years ago

PLEASE ANSWER THIS MATH QUESTION FOR THOSE MATH LOVERS :)

viva [34]

Remark

The general formula for these types of questions is

(x1 + k(x2 - x1) ) , (y1 + k(y2 - y1))

<u>Problem 1 -- Point G</u>

Givens

(x1,y1) is the starting point which in this case is (-3, -3)

(x2,y2) is the ending point which in this case is (6 , -3)

k = 1/4

Sub and solve

(-3 + 1/4(6 - - 3), - 3+ 1/4(- 3 - - 3)

(-3 + 1/4(9) , - 3 + 1/4 (-3 + 3)

(-3 + 9/4, -3 + 1/4(0) )

(-12/4 + 9/4 , -3)

(-3/4 , - 3) Answer

<u>Problem 2 Point F Much harder</u>

Givens

(x1,y1) = (-3 , -1)

(x2,y2) = (6, - 3)

k = 3/4

Sub and solve

(-3 + 3/4(6 - - 3) , -1 + 3/4(-3 - - 1) )

(-3 + 3/4(9) , - 1 + 3/4(-2) )

(-3 + 27/4 , -1 - 6/4 )

(-12/4 + 27/4, -4/4 - 6/4)

( 15/4 , - 10/4) <<<<<< Answer Part B

4 0

3 years ago

Read 2 more answers

Help pls asap!!!!!!!!!!!!!!!!!!!!

yawa3891 [41]

Hello!

We can put the x values in and see if we get y

Option 1:
Set A: y = 4x - 2

Do the first values

y = 4(-1) - 2

y = -4 - 2

y = -6

Look at the next one to be sure

y = 4(1) - 2

y = 4 - 2

y = 2

So the set A equation is correct we can look at set be now

y = x + 4

y = -5 + 4

y = -1

Try the next one to be sure

y = -2 + 4

y = 2

So the set B equation is also correct

The answer is the first one

Hope this helps!

7 0

3 years ago

Explain how to solve 4^x+3 = 7 using the change of base formula log base b of y equals log y over log b. Include the solution fo

Masja [62]

The value of x is 1

Explanation:

The equation is $4^x+3=7$

Subtracting both sides by 3, we get,

$4^x=4$

Taking log on both sides, we get,

$\log 4^{x}=\log 4$

Rewriting the equation by $4^{x}=u$

Thus, we have,

$\log u=\log 4$

Applying log rule, if $\log f(x)=\log g(x)$ , then $f(x)=g(x)$

Thus, $u=4$

Substituting $u=4$ in $4^{x}=u$ , we get,

$4^x=4$

Also, since, $a^{f(x)}=a^{g(x)}$ , then $f(x)=g(x)$

Thus, $x=1$

Hence, the value of x is 1

7 0

3 years ago

Ryan needs 1/8 pound of chicken to make one cup of chicken dip. He has 3/4 pound of chicken. Ryan calculated that he can make ex

xz_007 [3.2K]

1. no 2. yes

Step-by-step explanation:

for the first one he would need 3 pounds to make 3 cups and for the second one no because he can make more than 3 cups, he can make 6, 1/8 times 6 is 3/4

8 0

3 years ago