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salantis [7]
3 years ago
10

Help me please need it fast

Mathematics
1 answer:
Sonja [21]3 years ago
6 0

Answer:I am pretty sure it is A

Step-by-step explanation:

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How do you write -5 1/100 as a decimal?
White raven [17]

Answer:

The answer is -5.01

5 0
3 years ago
Read 2 more answers
3. Show that a circle with equation (x−2)^2+(y+3)^2=160 has two tangent lines with equations
Pepsi [2]

Answer:

  see below

Step-by-step explanation:

A graphing calculator shows each of the lines intersect the circle in exactly one place, so is tangent.

__

Each of the given lines is written in point-slope form. Each has a slope of 1/3. We will call the point in its equation the "reference point" of each line. For the first line, it is (6, -15); for the second line it is (-2, 9).

The center of the circle is (2, -3), so the slope from the center to the reference point of each line is ...

  line 1: (-15 -(-3))/(6 -2) = -12/4 = -3

  line 2: (9 -(-3))/(-2-2) = 12/-4 = -3

These slopes are the negative reciprocal of the slope of each of the lines, so a segment from the circle center to the reference point of each line is perpendicular to the line.

__

The reference point of line 1 (6, -15) is on the circle:

  (6 -2)^2 +(-15 +3)^2 = 16 +144 = 160

The reference point of line 2 (-2, 9) is on the circle:

  (-2-2)^2 +(9 +3)^2 = 16 +144 = 160

So, the reference point of each line is on the circle and that point is the endpoint of a segment from the circle center that is perpendicular to the line. Hence each of the lines is a tangent at its reference point.

6 0
3 years ago
The perimeter of a rectangle is 700 yards. What are the dimensions of the rectangle if the length is 50 yards more than the​ wid
Nataly [62]

Answer:

width = 150 yards

length = 200 yards

Step-by-step explanation:

Using the information given to us, we can make the following two equations:

2L + 2W = 700

L = W + 50

where L is the length in yards and W is the width in yards. This could treat these two equations as a system of linear equations. There are multiple ways to solve a system of linear equations, but I am going to solve this by substitution. Before doing that, I am first going to simplify the first equation, as it will make solving the system easier.

2L + 2W = 700

Divide both sides by 2.

L + W = 350

Since L = W + 50, we can substitute W + 50 for L in the equation L + W = 700.

(W + 50) + W = 350

2W + 50 = 350

2W = 300

W = 150

Now that we found what W is, we can solve for L by plugging 150 into either one of the equations. I am going to plug it into the equation L = W + 50.

L = 150 + 50

L = 200

Now we found what L is. So now we know that the width is 150 yards and the length is 200 yards.

I hope you find my answer and explanation helpful. Happy studying. :)

5 0
3 years ago
Write 101/100 as a mixed number
stealth61 [152]

Answer:

1 1/100

Step-by-step explanation:

6 0
3 years ago
PLEASE HELP A FRIEND IN NEED
Anuta_ua [19.1K]
When multiplying you add the powers so it’s -4+-5 but it gets confusing as 2 negatives make a positive. So it’s essentially 4+5 which is 9
7 0
3 years ago
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