Consistent means 1 solution
inconsistent means no solutions....because they are parallel lines
equivalent means infinite solutions...because they are the same line
y = 3x - 2 3x - y = 4
-y = -3x + 4
y = 3x - 4
both equations have the same slope but different y intercepts....this means they are parallel lines and have no solutions ....INCONSISTENT
=======================
1/2y = -x + 5 2y = -4x + 20
y = -2x + 10 y = -2x + 10
same equation.....same line...infinite solutions...EQUIVALENT
===================
y = -x + 4 x = -y - 6
y = -x - 6
same slope, different y intercepts....parallel lines......no solutions...this means INCONSISTENT
==================
y = 4x + 2 y = 6x - 10
different slopes, different y intercepts...one solution...CONSISTENT
==================
y = 2x + 1 y = -2x + 3
different slopes, different y intercepts...one solution...CONSISTENT
=================
-2x + 5y = 0 y = 2/5x
5y = 2x
y = 2/5x
same line....infinite solutions....EQUIVALENT
The required transformation that maps ABCD to its image is ~
" five units right and two units up "
The height of the building is 3 feet
<h3>How to determine the value</h3>
From the information given, we have that;
- Angle of elevation = 4. 72 degrees
- hypotenuse side = 36 feet tall
- Building height is the opposite side
Using the sine identity:
sin θ = opposite/hypotenuse
Substitute the values
sin 4. 72 = x/ 36
cross multiply
x = sin 4. 72 × 36
x = 0. 0822 × 36
x = 3 feet
Thus, the height of the building is 3 feet
Learn more about angle of elevation here:
brainly.com/question/19594654
#SPJ1
Answer:
$93
Step-by-step explanation:
If he earns $7.75 a day, and he walks dogs for 12 days, you just have to multiply 7.75 by 12, which is 93. That means he gets $93.