X = low-energy lamp
y = high-energy lamp
1) 4x + 5y
2) 120= 4x + 5y
<u>Answer:</u>
Reflections
<u>Explanation:</u>
<u>1- For translation:</u>
A translation can be a composition of a reflection as it can composed by two reflections over parallel lines.
These lines should be separated by a distance equal to half the distance of translation
<u>2- For rotation:</u>
A rotation can be a composition of a reflection as it can composed by two reflections over non-parallel lines.
These two non-parallel lines should intersect at the point representing the center of rotation
Hope this helps :)
Answer:
A = 112 in²
Step-by-step explanation:
First, find the area of the square, which is 10 in. by 10 in.
10 × 10 = 100 in²
Next, find the area of the triangle using the formula: 1/2(base × height)
The base is 10 in. - 6 in. = 4 in.
The height is 16 in. - 10 in. = 6 in.
A = (1/2)(4 × 6) = (1/2)(24) = 12 in²
Add the two areas.
100 in² + 12 in² = 112 in²
The area is 3.14*r^2
<span>The rotating valve would be in the center of the circular wet patch so if it's spraying in all directions, then 15 ft = radius. </span>
<span>Now plug it in. </span>
<span>3.14 x (15)^2 = 706.5 ft^2</span>
Answer:
The answer is no solutions.
Step-by-step explanation:
use systems of equations!
first, rewrite both equations so that the sum or difference includes the same variable.
notice how i made sure the coefficients that have x and y respectively line up.
with this, i can cancel out the x variables by making 2, and -4 as -8 (8+-8=0).
rewrite the equation.
distribute.
now we can successfully cancel out the x variable!
uh oh! it seems we can also cancel out the y variables..
18 is not equal to 0 and neither is -16. because of this, we can conclude there is no solution for this system of equations.
hope this helps!!