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3 years ago

Please right no link or bot

Mathematics

2 answers:

wolverine [178]3 years ago

8 0

Answer:

Step-by-step explanation:

$(6^{0})^{-2}$ is the same as $1^{-2}$ which is 1

$6^{-2}$ is the same as $\frac{1}{6^{2} }$ and 6² is 36 so $\frac{1}{6^{2} }$ is 1/36

1 ÷ 1/36 is the same as 1 × 36/1 which is 36

Answer: 36

Hope this helps!

Leya [2.2K]3 years ago

7 0

Answer:

Step-by-step explanation:

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Find the x and y intercepts of the quadratic equation f(x)=-x^2+4x-4

earnstyle [38]

X - Intercept
f(x) = -x² + 4x - 4
 0 = -x² + 4x - 4
 x = -(4) +/- √((4)² - 4(-1)(-4))
 2(-1)
 x = -4 +/- √(16 - 16)
 -2
 x = -4 +/- √(0)
 -2
 x = -4 +/- 0
 -2
 x = -4 + 0 x = -4 - 0
 -2 -2
 x = -4 x = -4
 -2 -2
 x = 2 x = 2

The solution to the problem is {2, 2}, or {2}. The x - intercept of the problem is (2, 0).

Y - Intercept
f(x) = -x² + 4x - 4
f(x) = -(0)² + 4(0) - 4
f(x) = -(0) + 0 - 4
f(x) = -0 + 0 - 4
f(x) = 0 - 4
f(x) = -4

The y - intercept of the problem is (0, -4).

8 0

3 years ago

Y = - 2x + 1 2x - 2y = 4 Solve systems of equations by substitutions

astraxan [27]

Answer:

x= 1

y= -1

Step-by-step explanation:

y=-2x+1

2x-2y=4

substitute for y

2x-2(-2x+1)=4

reduce

2x+4x-2=4

6x=6

x=1

y= -2(1)+1

y= -1

6 0

3 years ago

I need help on listing the four points that have a distance of 8 from B, thank you!

dolphi86 [110]

Answers:

(12, 3)
(-4, 3)
(4, 11)
(4, -5)

A diagram is shown below.

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

Explanation:

First we locate point B at (4,3). The '4' in the x position means we've gone 4 units to the right of the origin, and the 3 in the y coordinate means we've gone 3 units up.

Now we need to find four points that are 8 units away from this central location. We'll ignore point A.

What we can do is add 8 to the x coordinate of point B to get x+8 = 4+8 = 12. Keeping the y coordinate the same, the point (12, 3) is exactly 8 units away from (4,3). Think of drawing a number line through those two points. Then we can note there are 8 spaces between (4,3) and (12,3). Or we can say "there are 8 spaces between 4 and 12" since that '3' doesn't really play much of a role in this case.

So (12,3) is one answer.

---------------------------------

Move back to point B(4,3)

Instead of adding 8 to the x coordinate, let's subtract 8 from it

x-8 = 4-8 = -4

Again the y coordinate is kept the same.

The point (-4, 3) is 8 units away from (4,3). The number line distance from -4 to 4 is 8 units.

So (-4,3) is another answer.

----------------------------------

Move back to point B

From this starting point, we can move 8 units up. Doing this means we add 8 to the y coordinate, while the x coordinate is kept intact.

(4,3) turns into (4,11) after doing so.

(4,11) is another answer.

---------------------------------

Move back to point B

From this point, we can move down 8 units to arrive at (4,-5). note how y-8 = 3-8 = -5. The x coordinate is kept the same.

(4,-5) is another answer.

----------------------------------

The four points we found were:

(12, 3)
(-4, 3)
(4, 11)
(4, -5)

which are four possible answers

Those points are found by going 8 units right, 8 units left, 8 units up and 8 units down in that order. Each time we started at point B as our center of operation. The use of the word "center" is done because we can form a circle of radius 8, and the center of the circle is at B(4,3). Any point on the circle's edge is exactly 8 units away from the center point B.

Refer to the diagram below. The four answers are the red points P,Q,R,S. The point T is another point that could be an answer, but it's not as easy to find compared to the four other points.