Find the truth set of 2x-6≤5(3-x)
1 answer:
You might be interested in
You're very close. However, the less steep line should go through (4,7) and not some point slightly above that location. Also, the shaded region should be above both dashed lines at the same time. So you won't include the portion that I've marked in blue (see attached). Other than that, it looks great.
Answer:
Step-by-step explanation:
we know that
The area of the trapezoid is equal to
step 1
Find the measure of angle DAE
m∠ADC+m∠DAE=180° -----> by consecutive interior angles
we have
m∠ADC = 134°
substitute
134°+m∠DAE=180°
m∠DAE=180°-134°=46°
step 2
In the right triangle ADE
Find the length side AE
cos(∠DAE)=AE/AD
step 3
In the right triangle ADE
Find the length side DE
sin(∠DAE)=DE/AD
step 4
Find the area of ABCD
we have
substitute
The graph of the parent function is well -known (see attached diagram for details, green curve).
Make such transformations:
- translate graph of parent function
3 units to the left (violet curve), then you obtain the function
- compress function
in the x-direction by multiplying x by 3 (black curve), then you get the function
- reflect the function
across the line
(red curve). You get the function
- translate the function
1 unit down (blue curve) to get the function
