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2 years ago

What would be a good first step to graph the solution to the following system?

Mathematics

1 answer:

SVETLANKA909090 [29]2 years ago

7 0

Answer:

Its not the answer but you know its going to be a solid line on the first and a dashed on the bottom. The first will be above line, second would be below b/c its less that. This is a fairly easy question that I can answer for you later I just don't have anymore time

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While visiting Wallawulla State Park, Joe approximated the angle of elevation to the top of a mound to be 40 degrees . After wa

katen-ka-za [31]

Answer:

Height of mound = 794 ft

Step-by-step explanation:

To illustrate the angle of elevation and distance, i have drawn it and attached below.

Now, from my diagram;

h = the height of the mound

At his first point of his trip to the foot of the mound, the angle of elevation is 40°, while the horizontal distance to the foot of the mound is "X"

So, by triangle definition,

tan(40°) = h/x

And so;

h = x tan40

h = 0.8391x - - - - (eq 1)

At his second point of the trip to the foot of the mound, Joe is now,

"(x - 450) ft" from the foot of the mound.

Thus, his angle of elevation is 40 + 18 = 58°.

So, by triangle definition,

tan(58°) = h/(x - 450)

h = (x - 450)•(tan(58°))

h = 1.6003(x - 450)

h = 1.6003x - 720.135 - - - - -(eq2)

To get the height(h) of the mound, let's equate (eq1) to (eq2).

0.8391x = 1.6003x - 720.135

1.6003x - 0.8391x = 720.135

0.7612x = 720.135

x = 720.135/0.7612

x = 946.0523 ft

Let's put this value for x in eq (1);

h = 0.8391 x 946.0523 = 793.83 ft ≈ 794ft

4 0

2 years ago

Select the equation that contains the point (3, -9), and in which the graph of the line has a positive slope.

Kamila [148]

First thing to do is to solve each of these for y. The first one is y=-4x-3; the second one is y=4x-21; the third one is y=4x+21; the fourth one is y=-4x+3. From that you can tell the positive slopes are found in the second and third equations. Those are the ones we will test now for the point (3, -9). y=-9 and x=3, so let's fill in accordingly. The second equation filled in is -9=4(3)-21. Does the left side equal the right when we do the math? -9=12-21 and -9=-9. So the second one works. Just for the sake of completion, let's do the same with the third: -9=4(3)+21. Does -9=12+21? Of course it doesn't. Our equation is the second one above, y+9=4(x-3).

7 0

3 years ago

What is 7 1/12 - 2 3/4 in simplest form

stich3 [128]

7 1/12 - 2 3/4

First we have to change mixed numbers to improper fractions

7 1/12 = 7 x 12 + 1 = 85 85/12

2 3/4 = 2 x 4 + 3 = 11 11/4

85/12 - 11/4

Now we need to find the LCD (least common denominator) for 4 and 12

4, 8, 12

12 is our LCD, so it becomes our new denominator

85/12 would stay the same because the denominator wasn't changed but for 11/4 our new denominator is 12, so our fraction will change.

11/4 = 33/12

4 goes into 12, 3 times. What you do to the bottom, you do to the top.

3 x 11 = 33

3 x 4 = 12

So, our new fraction is 33/12. Now we subtract

85/12 - 33/12 = 52/12

Now we convert back to a mixed number

52 ÷ 12 = 4 4/12 reduce

4 1/3

Hope this helps.

6 0

3 years ago

What is the value of this expression when a=20

Aloiza [94]

Answer:

Step-by-step explanation:

A=20

4 0

2 years ago

If u=<2,2> then find u•u and determine whether it is a vector or a scalar

Kitty [74]

If ~v = hv1, v2, v3i and ~w = hw1, w2, w3i are vectors and c is a scalar, then (a) c~v = hcv1, cv2, cv3i (b) ~v + ~w = hv1 + w1, v2 + w2, v3 + w3i (c) ~v − ~w = hv1 − w1, v2 − w2, v3 − w3i.

3 0

3 years ago