Solution:
here, in triangle JKL, let angle J be x,
Then,
angle K = 3x
angle L = 8x
Now,
J + K + L = 180°
x + 3x + 8x = 180°
12x = 180°
x = 180°/12
x = 15°
So,
angle J = x
= 15°
angle K = 3x
= 3*15°
= 45°
angle L = 8x
= 8*15°
= 120°
Answer:
Gradient of Line ⊥ to AB = m = 3
B) y = 3x+11
Step-by-step explanation:
A) <u><em>Firstly, finding the slope of AB</em></u>
Gradient =
Gradient =
Gradient =
Gradient =
Gradient =
<u><em>Now, the line has a gradient of negative reciprocal to this one which is perpendicular to AB</em></u>
So,
Gradient of Line ⊥ to AB = m = 3
B) <u><em>Equation of line ⊥ to AB:</em></u>
Gradient = m = 3
Now, Point = (x,y) = (-2,5)
So, x = -2, y = 5
<u><em>Putting this in slope-intercept form to get b</em></u>
=>
=> 5 = (3)(-2) + b
=> 5+6 = b
=> b = 11
<em><u>Now, Putting m and b in the slope intercept form to get the required equation:</u></em>
=>
=> y = 3x+11
Answer:
(a) The solutions are:
(b) The solutions are:
(c) The solutions are:
(d) The solutions are:
(e) The solutions are:
(f) The solutions are:
(g) The solutions are:
(h) The solutions are:
Step-by-step explanation:
To find the solutions of these quadratic equations you must:
(a) For
The solutions are:
(b) For
The solutions are:
(c) For
The solutions are:
(d) For
For a quadratic equation of the form the solutions are:
The solutions are:
(e) For
The solutions are:
(f) For
The solutions are:
(g) For
Using the Zero Factor Theorem: = 0 if and only if = 0 or = 0
The solutions are:
(h) For
Using the Zero Factor Theorem: = 0 if and only if = 0 or = 0
The solutions are:
Answer:
The answer is B.
Step-by-step explanation:
The answer's B because If you look at the box and whisker plot the median is 6. That is true because 5 + 7 = 12 and divided by 2 would equal 6 therefore the median is 6. Also the 1st oulier is 1 and the 2nd outlier is 11. There you go hope you understand it.....