Considering the given <em>information</em> in the question, the value of x is 
, and that of y is 
.
A <u>transversal</u> is a <em>line</em> that <em>cuts</em> through two given parallel lines. Thus it i<em>ntersects</em> each parallel line at a point, forming <u>four</u> angles each.
From the given <em>information</em> in the question, it can be <em>inferred</em> that:
the given<u> bottom</u> right angle of the first<em> intersection</em> and the bottom right angle with the <em>second intersection</em> are <u>congruent </u>(corresponding angle property).
So that,
= 
= 
- 
= 
............ 1
Also given that the top <em>right angle</em> at the<u> second</u> intersection is a <em>right </em>angle, then;
+ 
= 
(sum of angles on a straight line)
This implies that;
= -
=
So that,
y = 
y =
Thus substituting the value of y in equation 1, we have;
= ........ 1
= 8(7.5)
5x = 60
x = 
x =
Therefore, x = and y =
For more clarification on a transversal of two parallel lines, check: brainly.com/question/1751268
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Kindly contact a 1-on-1 tutor if more explanations are needed.
Parallel = same slope
Turn 3x + 4y = 12 into y = mx + b
3x - 12 = -4y
-4y = 3x - 12
Divide by -4
Y = -3/4x + 3
Now: y = -3/4x + b
Plug in the point (-2,-2)
-2 = -3/4(-2) + b
-2 = 1.5 + b
b = -3.5
Equation: y = -3/4x -3.5
(Check my work, correct me if I’m wrong)
Answer:
Option B. f¯¹(x) = ³√(– x – 9)
Step-by-step explanation:
From the question given above:
f(x) = – x³ – 9
f¯¹(x) =?
We can obtain the inverse f¯¹(x) of the above equation by doing the following:
f(x) = – x³ – 9
Replace f(x) with y
y = – x³ – 9
Interchange x and y
x = – y³ – 9
Make y the subject . This is illustrated below:
x = – y³ – 9
Rearrange
x + 9 = – y³
Multiply through by –1
–(x + 9) = y³
y³ = – x – 9
Take the cube root of both side
y = ³√(– x – 9)
Replace y with f¯¹(x)
f¯¹(x) = ³√(– x – 9)
Thus, the inverse of the function
f(x) = – x³ – 9
is
f¯¹(x) = ³√(– x – 9)
Answer: median = 61
Reason:
A normal distribution is perfectly symmetric. Such distributions have mean = median = mode.
