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3 years ago

Write an equation in slope-intercept form of the line with the parametric equations x=-4t+3 and 5t-3

Mathematics

1 answer:

xz_007 [3.2K]3 years ago

7 0

Answer:

Answer: D

Step-by-step explanation:

Since both equations have the variable t, rewrite t in terms of x

x = -4t + 3

4t = 3 - x

t =

Now you can plug t into y

y = 5t - 3

y =

Step-by-step explanation:

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Please I need help on this question, A line passes through (6,3), (8,4), and (n,-2). Find the value of n.

Vika [28.1K]

Answer:

n= -4

Step-by-step explanation:

First we have to find the equation of line which passes through (6,3) and (8,4).

Then we have to pass this line through the point (n , -2).

we know, equation of line passing through (x1,y1) and (x2,y2) is

$\frac{x-x1}{x1-x2}=\frac{y-y1}{y1-y2}$

So, the equation of line passing through (6,3) and (8,4) is

$\frac{x-6}{6-8}=\frac{y-3}{3-4}$

or, $\frac{x-6}{-2} =\frac{y-3}{-1}$

multiplying both sides by -2

x-6=2(y-3)

or, x-6=2y-6

or, x-2y=6-6

or, x-2y=0

Now, we have to pass this line through (n,-2)

So, using the point in the line, that is using x=n , y=-2

we get

n-2(-2)=0

or, n+4=0

or, n=-4

6 0

3 years ago

Read 2 more answers

The elevation at ground level is 0 feet. An elevator starts 90 feet below ground level. After traveling for 15 seconds, the elev

sweet [91]

The answer is -4 2/3

Explanation : The elevator is at 0, and went below ground level 90 feet, that would be -90, then it went up 20 feet, which would be -90 + 20 = -70

-70 ft / 15sec = - 4 2/3

I am not sure about the ground level and negative difference but that it is what I was taught. Below ground level is negative and above is positive. Therefore the elevator traveled up and it traveled -4 2/3 per second.
It so either 4 2/3 or - 4 2/3 but pretty sure it is - 4 2/3.

:)))

6 0

3 years ago

this weekend you're going to go kayaking down the Colorado River. the rental shop charges $13.00 to rent a kayak with paddles pl

SCORPION-xisa [38]

You would owe the rental shop 54 dollars

13.00 x 5.00 = 18.00

since it is per hour you multiply 18.00 x 3

3 stands for the hours you kayaked

and that gives you 54

therefore your answer is 54<span />

5 0

3 years ago

Read 2 more answers

A sphere has a volume of V=900 in cubed. What is the surface area?

ycow [4]

First, we must solve for the radius of the sphere:
V= $\frac{4}{3}$ $\pi$ $r^{3}$
r=(3 $\frac{V}{4 \pi }$ ) $^{ \frac{1}{3} }$
r=(3* $\frac{900}{4 \pi }$ ) $^{ \frac{1}{3} }$
r≈5.99

Second, we must solve for surface area:
A=4 $\pi$ $r^{2}$
A=4* $\pi$ * $5.99^{2}$
A≈450.88 $in^{2}$

4 0

3 years ago

4x + 3(4x + 7) = 4(7x + 3)

Natasha2012 [34]

Answer: 1

Step-by-step explanation:4x + 3(4x + 7) = 4(7x + 3) + -3

Reorder the terms:

4x + 3(7 + 4x) = 4(7x + 3) + -3

4x + (7 * 3 + 4x * 3) = 4(7x + 3) + -3

4x + (21 + 12x) = 4(7x + 3) + -3

Reorder the terms:

21 + 4x + 12x = 4(7x + 3) + -3

Combine like terms: 4x + 12x = 16x

21 + 16x = 4(7x + 3) + -3

Reorder the terms:

21 + 16x = 4(3 + 7x) + -3

21 + 16x = (3 * 4 + 7x * 4) + -3

21 + 16x = (12 + 28x) + -3

Reorder the terms:

21 + 16x = 12 + -3 + 28x

Combine like terms: 12 + -3 = 9

21 + 16x = 9 + 28x

Solving

21 + 16x = 9 + 28x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-28x' to each side of the equation.

21 + 16x + -28x = 9 + 28x + -28x

Combine like terms: 16x + -28x = -12x

21 + -12x = 9 + 28x + -28x

Combine like terms: 28x + -28x = 0

21 + -12x = 9 + 0

21 + -12x = 9

Add '-21' to each side of the equation.

21 + -21 + -12x = 9 + -21

Combine like terms: 21 + -21 = 0

0 + -12x = 9 + -21

-12x = 9 + -21

Combine like terms: 9 + -21 = -12

-12x = -12

Divide each side by -12.

x = 1

Simplifying

x = 1

5 0

3 years ago