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ANTONII [103]
2 years ago
5

What is the component form and magnitude of the

Mathematics
2 answers:
satela [25.4K]2 years ago
8 0

Answer:

<-7,3> and 157°

Step-by-step explanation:

Trust fam

Andrei [34K]2 years ago
8 0

Answer:

D.

Step-by-step explanation:

edg 21

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Q7 Q7.) Find the unit vector in the same direction as v.
igor_vitrenko [27]
Use Pythagorean theorem:

9i-j = sqrt (9^2 - 1^2) = sqrt(81-1) = sqrt80

now divide both terms in V by that:

u = 9/sqrt(80)i - 1/sqrt(80)j

see attached picture: 

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3 years ago
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nika2105 [10]

Answer:

D is the answer. The graph was reflected across the y-axis, and shifted 1 unit downwards.

Step-by-step explanation:

Count the number of spaces to D, then to D'. They are the same (besides one being negative). A'B'C'D' was then shifted down 1 unit, which is why it is lower than shape ABCD.

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2 years ago
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Could somebody help me with Geometry? THANKS!!!!!!!!!!!!!!!!!!!!!
Vedmedyk [2.9K]

I'll do problem 1 to get you started.

The answer to problem 1 is <u>3400 miles</u>

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

Explanation for problem 1:

We're asked to find the perimeter, which is the total distance around the exterior or outside. In other words, we need to add up the four side lengths of this quadrilateral.

We'll need the distance formula to find the lengths of the slanted sides AB and BC

----------------------------------------

Let's first find the length of segment AB

A = (x1,y1) = (0,0)

B = (x2,y2) = (400,300)

d = Length of AB

d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(0-400)^2 + (0-300)^2}\\\\d = \sqrt{(-400)^2 + (-300)^2}\\\\d = \sqrt{160000 + 90000}\\\\d = \sqrt{250000}\\\\d = 500\\\\

The distance from A to B is 500 miles. This is the same as saying segment AB is 500 miles long.

----------------------------------------

Now find the length of segment BC

B = (x1,y1) = (400,300)

C = (x2,y2) = (-800,800)

d = length of BC

d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(400-(-800))^2 + (300-800)^2}\\\\d = \sqrt{(400+800)^2 + (300-800)^2}\\\\d = \sqrt{(1200)^2 + (-500)^2}\\\\d = \sqrt{1440000 + 250000}\\\\d = \sqrt{1690000}\\\\d = 1300\\\\

----------------------------------------

The length of CD is fairly easy to find without needing the distance formula. This is because it is a vertical line. We subtract the y coordinates of C and D to get 800-0 = 800. So CD is 800 miles long.

Segment DA is a similar story. But we subtract the x coordinates. This only works for horizontal lines. DA is 800 miles long because |-800-0| = 800. Absolute value is used to make sure the distance is never negative.

----------------------------------------

To summarize everything so far, we found these four side lengths

  • AB = 500
  • BC = 1300
  • CD = 800
  • DA = 800

The perimeter is going to be the sum of those four sides, leading to...

perimeter = sum of sides

perimeter = AB+BC+CD+DA

perimeter = 500+1300+800+800

perimeter = 3400 miles

This is the total distance traveled if you started at city A, went to B, then to C, then to D, and then finally went back to A.

5 0
3 years ago
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The radius of a sphere with a surface area of 36pi square meters
Marysya12 [62]

Answer:

Step-by-step explanation:

surface area=4πr²=36π

r²=9

r=3

5 0
3 years ago
What is 4x-2+x=-2+2x
Vsevolod [243]

Answer:

x= no solution

Step-by-step explanation:

4x-2+x=-2+2x

We first add 4x+x on the left side.

5x-2=2+2x

We then add 2 to both sides.

5x=2x

The answer is no solution because we got no answer out of the equation.

4 0
3 years ago
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