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ollegr [7]
2 years ago
13

Z^2 -6z+9=0 Factor and solve

Mathematics
1 answer:
Ymorist [56]2 years ago
8 0
Factor because if we have
yz=0 then we can assume y and/or z=0

so factor
so the easiest way is to find what 2 numbers add to -6 and multiply to get 9 so
we know that they must be both - because we must have x+x=(-) and x^2=+ so therefor they must be negative
factors of 9=3 and 3 so
-3 and -3
-3+-3=-6 perfect

(z-3)(z-3)=0

set each to zero
z-3=0
add 3
z=3


z=3 is the answer
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Robert gets a lone from his bank. he agrees to borrow £6000 at a fixed annual simple interest rate of 7%. He also agrees to pay
Natali5045456 [20]

Answer:

£10200

Step-by-step explanation:

£6000x7%= £420

£420x10= £4200

£6000+£4200= £10200

4 0
3 years ago
A circle with radius 3 has a sector with a central angle of 1/9 pi radians
marissa [1.9K]

Complete question:

A circle with radius 3 has a sector with a central angle of 1/9 pi radians

what is the area of the sector?

Answer:

The area of the sector = \frac{\pi}{2} square units

Step-by-step explanation:

To find the area of the sector of a circle, let's use the formula:

A = \frac{1}{2} r^2 \theta

Where, A = area

r = radius = 3

\theta = \frac{1}{9}\pi

Substituting values in the formula, we have:

A = \frac{1}{2}*3^2* \frac{1}{9}\pi

A = \frac{1}{2}*9* \frac{1}{9}\pi

A = 4.5 * \frac{1}{9}\pi

A = \frac{\pi}{2}

The area of the sector = \frac{\pi}{2} square units

8 0
3 years ago
What is mean, median, mode,and range.
Alex17521 [72]
Mean is the same as the average
median is the middle number
mode is the number that is used most often
range is the highest number minus the lowest number

example : 
2,3,3,5,7

u find the mean by adding up all the numbers, then dividing by how many numbers there are. (2 + 3 + 3 + 5 + 7) / 5 = 20/5 = 4 (the mean)

the median would be the middle number, and that would be 3

the mode would be the number that appears the most..that would be 3 because it appears twice.

the range is the highest - lowest : 7 - 2 = 5 (the range)...bur dont get this confused by the interquartile range..it is not the same as the range.
3 0
3 years ago
Can someone help me with this. Will mark brainliest. Thank you.
Murljashka [212]

Answers:

  1. circle
  2. center
  3. radius
  4. chord
  5. diameter
  6. secant

=======================================

Explanations:

  1. Consider a campfire and people surrounding it to warm up. The fire itself is the center of the circle, and the people around it are points on the circle's edge. Assume that each person is the same distance away from the fire. Refer to the diagram below.
  2. We always refer to the circle name by the center point. Think of it being like at the center of the universe, or you could think how the sun is at the center of the solar system. While technically the planets orbit in ellipses and not perfect circles, this idea still could be useful to help remember the naming convention.
  3. If we go back to the example in part 1, the radius is the distance from the campfire to any given person. The radius is half the diameter.
  4. This is not to be confused with the spelling "cord" which refers to wiring used in electronics, or in fabric fibers. If we connected any two campers with a segment, then we formed a chord. Refer back to part 1 above. Any diameter is a chord, but not the other way around.
  5. The diameter is a special type of chord that goes through the center. Note the endpoints of the diameter are on the circle's edge.
  6. A secant line is basically a chord but we've extended both endpoints off infinitely in both directions. A secant cuts the circle at 2 different points. In contrast, a tangent line touches the circle at exactly one point only.

3 0
3 years ago
Describe a graph of the height of the object over time.
s344n2d4d5 [400]

Answer: Projectile motion involves objects that are dropped, thrown straight up, ... pjm1. bracketleft. y = height t = time in seconds a = acceleration due to gravity ... Notice that this formula is a quadratic function, which means its graph will be a parabola.

Step-by-step explanation:

7 0
3 years ago
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