Answer:
y = 2/3 x -2
Step-by-step explanation:
Slope intercept form is y = mx+b where m is the slope and b is the y intercept
We need to solve for y
2x-3y = 6
Subtract 2x from each side
2x-2x-3y=-2x+6
-3y = -2x+6
Divide by -3
-3y/-3 = -2/-3x+6 /-3
y = 2/3 x -2
The slope is 2/3 and the y intercept is -2
The answer is -34 k^8 z^12.
Answer:
a) 8 subsets
b) 32 subsets
Step-by-step explanation:
The total number of subset of a set is known as the power of the set
Power of a set is expressed as;
P = 2^n
n is the number of element in the set
a) For a set containing 3 elements
n = 3
Power of the set = 2³
Power of the set is 8
This means that the set contains 8 different subsets
b) Cardinality of a set is the total number of element in the set
If the cardinal number of a set is 5, this means that the set contains 5elements
Hence the power of the set will be;
P = 2^5
P = 32
Hence the total number of subset for set whose cardinal number is 5 is 32
<h3>
Answer: 45 degrees</h3>
Explanation:
There are n = 8 sides in a regular octagon. The smallest angle of rotational symmetry is 360/n = 360/8 = 45 degrees. Rotating this amount will not change the regular octagon. The before and after will look identical.
Answer:
6.0 units
Step-by-step explanation:
Since this is a right angled triangle, one of the trigonometric ratios will be used to find the value of y. Since the hypotenuse is 10 units, and the base and the perpendicular is unknown, therefore tangent ratio will not be used. Taking the critical angle to be 53 degrees, y becomes the base of the triangle. Therefore, cosine ratio will be used.
cos θ = Base/Hypotenuse.
cos 53 = y/10
y = 10*cos 53.
y = 6.0 units (correct to the nearest tenth).
Therefore, the side y measures 6.0 units!!!
