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disa [49]
4 years ago
9

Is -13 less than f/2

Mathematics
1 answer:
LenKa [72]4 years ago
5 0

Answer:

Yes, -13 is less than f/2.

Step-by-step explanation:

Since we are given a fraction with a variable, it may seem hard at first to find out which number is greater.

First, we have to realise that -13 is a negative number. Any negative number is always equal to less than a positive number.

Whatever number we replace our variable f with, whether it be 2, 3, 9, or 0.00000000000001, we can rest assure that it will be a <em>positive</em> number.

Since positive numbers are greater than negative ones, -13 has to be less than f/2.

If the fraction was negative (- f/2), this would be a nearly impossible question to answer.

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Standard equation an each circle
professor190 [17]

Answer:

Incorrect

Step-by-step explanation:

Juanita is incorrect because she shouldn't be using 2 squared.

3 0
3 years ago
What is the area of the square adjacent to the third side of the triangle?
Naddik [55]

Answer:

85 units^2 = Area of Blue Square

and

x = 5 units

Step-by-step explanation:

To do this we use the Pythagorean theorem (a^2 + b^2 = c^2). a and b represent the legs of the triangle whereas c represents the longest side of the triangle, or the hypotenuse.

Since we know the area of a square is the side length multiplied by itself (or the side length squared), \sqrt{35} is the side length of the pink square and \sqrt{50} is the side length of the green square.

That means a = \sqrt{35} and b = \sqrt{50} , so...

(\sqrt{35} )^{2} + (\sqrt{50})^{2}  = c^{2}

35 + 50 = c^2

85 = c^2

\sqrt{85} = c

Now we need to square the square root of 85 to find the area of the blue square.

(\sqrt{85})^{2}  = Area of blue square

85 units^2 = Area of Blue Square

To solve the other question we use the same formula again.

x^2 + 12^2 = 13^2\\x^2 +144 = 169\\-144\\x^2 =  25\\x=\sqrt{25} \\x=5

x = 5 units

3 0
3 years ago
Given the points A(-10, -4) and B(14, 4), find the coordinates of the point P on the directed line segment AB that partitions AB
anastassius [24]

Answer:

P(5, 1)

Step-by-step explanation:

Segment AB is to be partitioned in a ratio of 5:3. That means the ratio of the lengths of AP to PB is 5:3. We need to find the ratio of the lengths of AP to AB.

AP/PB = 5/3

By algebra:

PB/AP = 3/5

By a rule of proportions:

(PB + AP)/AP = (3 + 5)/5

PB + AP = AP + PB = AB

AB/AP = 8/5

AP/AB = 5/8

The first part of the segment is 5/8 of the length of the segment, and the second part of the segment has length of 3/8 of the length of segment AB.

Point P is located 5/8 of the distance from point A to point B. The x-coordinate of point P is 5/8 of the difference in x-coordinates added to the x-coordinate of point A. The y-coordinate of point P is 5/8 of the difference in y-coordinates added to the y-coordinate of point A.

x-coordinate:

difference in coordinates: |14 - (-10)| = |14 + 10| = 24

5/8 of 24 = 5/8 * 24 = 15

Add 15 to the x-coordinate of point A: -10 + 15 = 5

x-coordinate of point P: 5

y-coordinate:

difference in coordinates: |4 - (-4)| = |4 + 4| = 8

5/8 of 8 = 5/8 * 8 = 5

Add 5 to the y-coordinate of point A: -4 + 5 = 1

y-coordinate of point P: 1

Answer: P(5, 1)

3 0
3 years ago
3. The three angles of a triangle measure x°, y° and 46°. Which of the following statements must be true?
Brrunno [24]

Answer:es ist die d

Step-by-step explanation:weil

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3 years ago
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.7 is the answer to your question


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3 years ago
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