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12345 [234]
3 years ago
7

Y’all I really need help with this, please help !!

Mathematics
1 answer:
gogolik [260]3 years ago
5 0
2. The chord is bisected by the segment from the center, so you have a right triangle with legs 4 and 6. The hypotenuse is the radius of the circle, x.
   x = √(4^2 +6^2) = √(16+36) = √52
   x = 2√13

4. By the rules for secants, the product of the lengths of the parts of the chord is the same in each case.
   3*7 = 2*x
   x = 21/2
   x = 10.5

6. The measure of angle "a" is the average of the two intercepted arcs.
   a = (165° + 55°)/2
   a = 110°
Of course, b is its supplement.
   b = 180° - 110°
   b = 70°

8. Secant rules again. The products of the near and far lengths are the same in each case. When the segment is a tangent, the near and far lengths are the same, so it is the square of the tangent length.
   x² = 4(4+12) = 64
   x = 8

10. This works the same way as problem 2. Here, it looks like you have a triangle with hypotenuse 6 and side length 3. The other side length is
   half-chord = √(6² -3²) = √(36 -9) = √27 = 3√3
   AB = 2*(half-chord) = 2*3√3
   AB = 6√3

12. The equation of a circle of radius r and center (h, k) is
   (x-h)² + (y-k)² = r²
Of course, the "passes through" point must satisfy the equation, so you have
   (x-3)² + (y-0)² = r² = (-2-3)² + (-4-0)² = 25+16
   (x-3)² + y² = 41

14. Same as 12. Radius is 4.
   (x+5)² + (y-2)² = 16

16. Radius 2, center (0, -1).
   x² + (y+1)² = 4

18. The angle bisectors for the axes are the lines
   y = x
   y = -x
Here's a plot.

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A classmate said that line AB and line DC are parallel based on the diagram below. Explain your classmates error.
MatroZZZ [7]

<em><u>Explanation</u></em>:

The only information we have to go on is that ∠AWZ ≅ ∠XYC. However, these are not specific kinds of angles that can prove lines parallel. If we had a pair of alternate interior angles, such as ∠AWZ and ∠WZY, we could say that the lines are parallel. However, we do not have enough information.

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3 years ago
(NO FILES OR LINKS OR RANDOM WORDS)
ehidna [41]

Answer:

Randomly selecting a six of diamonds - 1 / 52

Randomly selecting a 7, 8, 9 or 10 - 4 / 13

Step-by-step explanation:

There is only 1 six of diamonds in a standard deck of cards. There are 52 cards in a deck, thus the probability of pulling a six of diamonds is 1 in 52.

There are 4 of each card in a deck. so they are 4 7's, 4 8's. 4 9's and 4 10's. And there are a total of 52 cards in a deck. So the probability of pulling a 7,8,9 or 10 are 4 + 4 + 4 + 4 in 52

4 + 4 + 4 + 4 = 16

16 / 52 simplified is 4 / 13 Therefore the is a 4 in 13 chance of pulling a 7 8 9 or 10

The other ones are correct

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2 years ago
A rocket generates a net force (F) of 2,050,000 newtons, and the rocket mass (m) is 40,000 kilograms
SVEN [57.7K]

From the given equation above, F = ma, acceleration may be calculated by slightly modifying the equation into a = F / m. Substituting the known values for force and mass,

                       a = 2,050,000 N / 40,000 kg = 51.25 m/s²

Thus, the acceleration achieved is 51.25 m/s².

6 0
2 years ago
Em 1 Graph the system of equations. { x−y=6 ,4x+y=4
muminat

Graphing the system of equations is shown in figure attached.

Solution set is (2,-4). The lines will intersect at (2,-4)

Step-by-step explanation:

We need to graph the system of equations. x-y=6 ,4x+y=4

First we will find value of x and y

Let:

x-y=6\,\,eq(1)\\4x+y=4\,\,eq(2)

Add eq(1) and eq(2)

x-y=6\,\,\\4x+y=4\,\,\\------\\5x=10\\x=10/5\\x=2

Putting value of x in eq(1) and finding y

x-y=6\\2-y=6\\-y=6-2\\-y=4\\y=-4

So, y=-4

Graphing the system of equations is shown in figure attached.

Solution set is (2,-4). The lines will intersect at (2,-4)

Keywords: System of equations

Learn more about system of equations at:

  • brainly.com/question/9045597
  • brainly.com/question/3739260
  • brainly.com/question/13168205

#learnwithBrainly

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3 years ago
Solve. 8x + 4 ≤ –20 A. x ≥ –2 B. x ≤ –3 C. x ≥ –3 D. x ≤ –2
marysya [2.9K]
8x+4 \leq - 20 \\ subtract\ 4 \\ 8x \leq -24 \\ divide\ by\ 8\\ \boxed{x \leq -3}
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