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hram777 [196]
3 years ago
10

On a coordinate plane, point A is at (3, 3) and point B is at (negative 3, 3). Point B is the image of point A when A is rotated

90° counterclockwise around the origin. Point B must be the same from the origin as point A.

Mathematics
1 answer:
Vladimir [108]3 years ago
7 0

Answer:

Point B must be at the same distance from the the origin as point A.

Step-by-step explanation:

Coordinates of point A = (3, 3)

When point A is rotated 90° counterclockwise around the origin, coordinates of the new point B will be (-3, 3)

Distance from origin to point A = \sqrt{(3)^{2}+(3)^2}=3\sqrt{2}

Similarly, distance of point B from the origin = \sqrt{(3)^{2}+(3)^2}=3\sqrt{2}

Therefore, distances of both the points from the origin are same.

Point B must be at the same distance from the the origin as point A.

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use the graphing calculator to graph the quadratic function y = x2 − 5x − 36. Which value is a solution of 0 = x2 − 5x − 36?
daser333 [38]

The solutions of the quadratic equation x² - 5x - 36 = 0 are -4 and 9.

The graph is attached below.

  • We are given a quadratic function.
  • A polynomial equation of degree two in one variable is a quadratic equation.
  • The function given to us is :
  • y = x² - 5x - 36
  • We need to find the solution of the quadratic function.
  • To find the roots, let y = 0.
  • x² - 5x - 36 = 0
  • Use the quadratic formula.
  • In elementary algebra, the quadratic formula is a formula that gives the solution(s) to a quadratic equation.
  • x = [-b±√b²-4ac]/2a
  • x = [-(-5) ± √25 - 4(1)(-36)]/2(1)
  • x = (5 ± √25 + 144)/2
  • x = (5 ± √169)/2
  • x = (5 ± 13)/2
  • x = 9 or x = -4

To learn more about functions, visit :

brainly.com/question/12431044

#SPJ1

3 0
1 year ago
Find the equation of the linear function 'g' going through (20,5) and (-5,-8). Use 'u' for your input variable.
frosja888 [35]

Answer:

  • See below

Step-by-step explanation:

<u>Use the slope-intercept form, which will be in this case:</u>

  • g(u) = mu + b, where m is the slope, b is the y- intercept

<u>Find the slope:</u>

  • m=(y_2-y_1)/(x_2-x_1)
  • m=(-8-5)/(-5-20)=(-13)/(-25)=13/25

<u>Find the value of the y-intercept:</u>

  • 5=1/25*20+b
  • b=5-4/5=21/5

<u>The equation is:</u>

  • g(u)=\frac{13}{25} u+\frac{21}{5}
3 0
3 years ago
Can you help me with this question? 15 points and brainliest if right!!
WINSTONCH [101]
Hi um I think you posted a picture of something else other than the question!!
8 0
3 years ago
Read 2 more answers
Number ten please thanks
BlackZzzverrR [31]
-3^2= -(3)^2

The exponent of 2 only applies to the number 3. -(3)^2 should equal -9. This is true because according to the order of operations, exponents should be evaluated before multiplication. The negative sign here represents -1* 3^2.
If you want to find -3 to the power of 2 it must be written (-3)^2.
5 0
3 years ago
Which number is equivalent to 0.15×1000<br> Which number is equivalent to 0.15 ×1000
Alona [7]

Answer:150

Step-by-step explanation:

0.15 x 1000

15/100 x 1000

(15 x 1000) ➗ (100 x 1)

15000 ➗ 100=150

5 0
3 years ago
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