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2 years ago

Parallel, orthogonal, or neither.

1 answer:

8 0

Vectors are orthogonal, when dot product $u\cdot v=0$

$u\cdot v=\langle-1,3\rangle\cdot\langle-9,-3\rangle=(-1)\cdot(-9)+3\cdot(-3)=9-9=0$

Vectors $u$ and $v$ are orthogonal.

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On the graph of the equation 2x + 5y = −30, what is the value of the y-intercept

inessss [21]

The answer is y-6 hope it helps

6 0

2 years ago

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Could you guys plesssse help me with 3 <br> and 4

SOVA2 [1]

Number four is B. 28.

7 0

3 years ago

Find the surface area and volume of each figure. Round each answer to the nearest hundredth.

Llana [10]

Answer: Surface area is equal to 200 $cm^{2}$

Volume is equal to 333.33 $cm^{3}$

Step-by-step explanation:

First, let's do surface area.

The surface area of a pyramid is equal to 1/2(perimeter of base)(lateral height) + area of the base

The perimeter of the base is 10(4) = 40; as the base is a square with a side length of 10.

The lateral height is given as 5 cm.

The area of the base is 10(10) = 100.

We can plug those numbers into the equation to get 1/2(40)(5) + 100, which comes out to be 200 $cm^{2}$ .

Now for volume.

The volume of a pyramid is equal to 1/3(area of the base)(height).

We already have the area of the base, which is 100.

The height is given as 10 cm.

Plugging those numbers into the equation, we get 1/3(100)(10), which is 1000/3 or about 333.33 $cm^{3}$ .

Hope this helps!

6 0

3 years ago

Find x- and y-intercepts. Write ordered pairs representing the points where the line crosses the axes. 2x+3y=6

sweet-ann [11.9K]

Answer:

x-intercept: (3, 0)

y-intercept: (0, 2)

Step-by-step explanation:

For a function like:

y = f(x)

The x-intercept is the value of x when y = 0

the y-intercept is the value of y when x = 0

Also remember that an ordered pair is written as (x, y).

In this case we have the equation:

2*x + 3*y = 6

For the x-intercept, we just replace y by zero in the equation, then we get:

2*x + 3*0 = 6

Solving this for x, we get:

2*x = 6

x = 6/2 = 3

Then in this case, the ordered pair for the x-intercept is (3, 0)

For the y-intercept, we just need to replace x by zero in the equation:

2*0 + 3*y = 6

Solving this for y, we get:

3*y = 6

y = 6/3 = 2

Then the ordered pair for the y-intercept is (0, 2)

8 0

2 years ago

Estimate the measure of the angle

abruzzese [7]

Answer: C) 65 degrees

Step-by-step explanation: the next highest is 90, but that would have the arrows in the shape of an L, since its closer than that, its lower than 90, so its 65.

6 0

2 years ago