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kow [346]
3 years ago
10

To Y-3x+4 and that passes through (5.-4)2 What is the equation of the line that is parallel to y

Mathematics
1 answer:
Tcecarenko [31]3 years ago
4 0

Answer:

y=3x+11. Explanation: Parallel lines have the same slopes. The slope of the new line will have the same slope as the ...

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Vector v is shown in the graph.
Elis [28]

Question 4

<h3>Answer: Choice D</h3>

Explanation:

If the initial point is the origin, the coordinates of the terminal point form the vector itself in component form. We go from (-8,6) to <-8,6>. The notation change is from ordered pair to vector format.

We have a right triangle with legs of 8 and 6 units. The pythagorean theorem will help us determine the hypotenuse is 10. Therefore, the vector length is 10 units and we would say ||v|| = 10. We have a 6-8-10 right triangle.

===========================================================

Question 5

<h3>Answer: Choice B</h3>

Explanation:

Vector v starts at (2,5) and ends at (-3,-2).

The x component of the vector is x2-x1 = -3-2 = -5 meaning we move 5 units to the left when going from the start point to the endpoint.

At the same time we move 7 units down because y2-y1 = -2-5 = -7 which is the y component of the vector.

The component form of vector v is

v = <-5, -7>

it says "move 5 units left, 7 units down".

Apply the pythagorean theorem to find the length of the vector.

a^2+b^2 = c^2

c = sqrt(a^2 + b^2)

||v|| = sqrt( (-5)^2 + (-7)^2 )

||v|| = 8.602 which is approximate.

Now let's use the arctangent function to find the angle

theta = arctan(b/a)

theta = arctan(-7/(-5))

theta = 54.462 which is also approximate.

There's a problem however. This angle is in Q1 but the vector <-5,-7> is in Q3. An easy fix is to add on 180 to rotate to the proper quadrant.

54.462+180 = 234.462

which is the proper approximate angle for theta.

6 0
2 years ago
What is the y-intercept for the equation 4x+2y=6?
Romashka-Z-Leto [24]

Answer:

The y intercept is 3

(0,3)

Step-by-step explanation:

4x+2y=6

To find the y intercept, set x =0 and solve for y

4(0) +2y = 6

0+2y = 6

Divide by 2

2y/2 = 6/2

y =3

The y intercept is 3

(0,3)

6 0
3 years ago
Plzzzzzzzzzzzzzzzzzzzzzzzzzz help quick
SCORPION-xisa [38]
It is C, because the x values between the first dot and the second is 4. So you multiply the slope 4 times on the y value. The y value changes from -2 to -5, so -2 + 4*-3/4 should be equal to -5
5 0
3 years ago
what are the missing variables?
Julli [10]

Answer:Missing data (or missing values) is defined as the data value that is not stored for a variable in the observation of interest. The problem of missing data is relatively common in almost all research and can have a significant effect on the conclusions that can be drawn from the data [1].

4 0
2 years ago
Read 2 more answers
What is 4/5 of 20.5?
ira [324]
16.4
20.5/5=4.1
4.1*4=16.4 
............
7 0
3 years ago
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