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2 years ago

Find parametric equations through point P=(2,2,7) in the direction of the vector v = (44, 14, -20)?

Mathematics

1 answer:

ycow [4]2 years ago

5 0

9514 1404 393

Answer:

(x, y, z) = (2+44t, 2+14t, 7-20t)

Step-by-step explanation:

One way to write parametric equations for line L is ...

L = P + t·v

where P is the given point and v is the given direction vector. Using that form, we have ...

(x, y, z) = (2+44t, 2+14t, 7-20t)

If you like, you can remove a common factor of 2 from the coefficients of t.

(x, y, z) = (2+22t, 2+7t, 7-10t)

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Gradient of a straight line that is perpendicular to y = 4x + 2

lana66690 [7]

If a line's slope is $\frac{a}{b}$ , the slope of the perpendicular line is $-\frac{b}{a}$
in this case, the given line has a slope 4, which is 4/1, so the perpendicular line has a slope/gradient $-\frac{1}{4}$

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3 years ago

The width of a rectangle is the length minus 4 units. The area of the rectangle is 12 units. What is the width in units of the r

Genrish500 [490]

Answer:

width = 2 units

Step-by-step explanation:

If the length of a rectangle is (x) units, then that means that the width of a rectangle is x - 4 units.

the area of a rectangle is length * width

so just substitute the values that we have now.

x (length) * (x-4) width = 12 (area of rectangle)

so that gives us

x^2 - 4x =12

subtract 12 from both sides

x^2 - 4x - 12 =0

now factor this equation

x^2 + 2x - 6x -12 = 0

x(x+2) - 6(x+2) = 0

(x-6)(x+2) = 0

x = 6, or x = -2 REMEMBER THAT VALUE OF x = LENGTH, IT CANNOT BE NEGATIVE AS YOU CANT HAVE NEGATIVE VALUE OF A SIDE

length = 6, and width = 6 -4 = 2

8 0

3 years ago

Read 2 more answers

Jared bought eighteen doughnuts to share with his coworkers. If each doughnut cost c cents, which expression represents his tota

Oduvanchick [21]

Wait, how many cents?

7 0

1 year ago

Use a number line to add and subtract. +7 + (-3)=

Karolina [17]

Answer:

Step-by-step explanation:

You have positive number and it is bigger that negative so your result will be positive too:

7-3=4

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3 years ago

Anybody help me please!!!!!!!!

Mamont248 [21]

Answer:

A reflection over the x axis

Step-by-step explanation:

With the x axis you flip it down or up

With the y you flip it to the left or to the right

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2 years ago