Answer: a²+b² = -99/2
Step-by-step explanation:
Since we are given two equations, this equations will be solved simultaneously to get a² and b²
a³ - 3ab² = 47 ... 1
b³ - 3a² b = 52... 2
From 1, a(a² - 3b²) = 47...3
From 2, b(b² - 3a²) = 52... 4
Adding 3 and 4, we have;
a²+b²-3b²-3a² = 99 (note that a and b will no longer be part of the equations as they have been factored out)
a²+b²-(3b²+3a²) = 99
(a²+b²) -3(b²+a²)= 99
Taking the difference we have
- 2(a²+b²) = 99
a²+b² = -99/2
Step-by-step explanation:
Total surface area of cuboid= 2(lb+bh+hl)
= 298ft²=2(28+4x+7x)
= 149=28+11x
= 121=11x
= 11=x
Rotation is a transformation where an object is rotated about a fixed point.
<h3>What is a transformation?</h3>
Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, rotation and dilation.
<em>Translation, reflection and rotation</em> are rigid transformations because they preserve the shape and size of the figure.
Rotation is a transformation where an object is rotated about a fixed point.
Find out more on transformation at: brainly.com/question/4289712
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Answer:
See below
Step-by-step explanation:
From the table we see there is a relation between x and y values
Every step change of x = 0.5, every step change of y = 2
<u>This relation is linear. The formula for linear function is:</u>
<u>Using to pairs of points to get the slope and y-intercept</u>
<u>Calculating the slope:</u>
- m = (64 - 60)/(1 - 0) = 4/1 = 4
- y - intercept is 60 as per point (0, 60)
<u>So the function is</u>
<h3>Part A</h3>
<h3>Part B</h3>
<h3>Part C</h3>
- Slope is the steepness of the line.
- y -intercept is the lowest score with no time spent studying
Answer:
Step-by-step explanation:
