5x - 4y = 12
-4y = -5x + 12
y = 5/4x - 3....slope here is 5/4. A parallel line will have the same slope
y = mx + b
slope(m) = 5/4
(0,-15)....x = 0 and y = -15
now we sub and find b, the y int
-15 = 5/4(0) + b
-15 = b
so ur parallel equation is : y = 5/4x - 15
Step-by-step explanation:
The given absolute value expression is
This absolute value function is of the form
where (h,k)=(-3,-1) is the vertex.
This function opens upwards, hence the the minimum point is (-3,-1)
The domain is the values of x for which the function is defined.
The domain is all real numbers.
The range is the values of y for which x is defined.
The is y≥-1 because the minimum value is -1.
The graph is shown in attachment.
Answer:
side is 35
Step-by-step explanation:
use pythagoream theroem
21^2 +28^2 = c^2
441+784=c^2
1225 = c^2
take the square root
c=35
the side is 35
The value of that fraction depends on the value of 'x'. Whatever 'x' happens
to be at the moment, the fraction is equal to about 61.1% of it. And if 'x' ever
changes, then the value of the fraction also changes, immediately.
3x° is 60° , 2x° is 40° and 4x° is 80°
<h3>
How to determine the angles</h3>
Note that the sum of angles in a triangle is 180°
Solve for x in the triangle
Then,
3x° +2x° + 4x° = 180°
Add the x°
9x° = 180°
Divide both sides by 9
x° = 180÷ 9 = 20°
If x° = 20
Then 3x° = 3× 20 = 60°
2x° = 2 × 20 = 40°
4x°= 4× 20 = 80°
Therefore, 3x° is 60° , 2x° is 40° and 4x° is 80°
Learn more about angles in a triangle:
brainly.com/question/7620723
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