Answer:
0 < x < 8
Step-by-step explanation:
| x-4| < 4
There are two solutions one positive and one negative. Remember to flip the inequality on the negative solution
x-4 <4 and x-4 > -4
Add 4 to each side
x -4+4 <4+4 and x-4+4 > -4+4
x < 8 and x > 0
0 < x < 8
open circles at 0 and 8 and a line connecting them
Answer:
y = 90°
Step-by-step explanation:
- 110° is the measure of exterior angle of bigger triangle.
- -> (x + x) + 70° = 110° (By exterior angle theorem)
- y is the measure of exterior angle of smaller triangle.
- -> y = x + 70° (By exterior angle theorem)
Answer:
Part 1) The exact value of the arc length is \frac{25}{6}\pi \ in
Part 2) The approximate value of the arc length is 13.1\ in
Step-by-step explanation:
ind the circumference of the circle
The circumference of a circle is equal to
C=2\pi r
we have
r=5\ in
substitute
C=2\pi (5)
C=10\pi\ in
step 2
Find the exact value of the arc length by a central angle of 150 degrees
Remember that the circumference of a circle subtends a central angle of 360 degrees
by proportion
\frac{10\pi}{360} =\frac{x}{150}\\ \\x=10\pi *150/360\\ \\x=\frac{25}{6}\pi \ in
Find the approximate value of the arc length
To find the approximate value, assume
\pi =3.14
substitute
\frac{25}{6}(3.14)=13.1\ in
Four thousand. one hundred and two.
Answer:
Substitute 3x - 5 for y in the second equation.
Step-by-step explanation:
Generally, to solve the system of linear equations of x and y, the first step would be trying to eliminate x (or y).
Then turn the system into the equation of only y (or x).
Next, try to solve for y (or x).
Then substitute the solved y (or x) into the original system to work out x (or y).
**********
3 options (1 addition, 2 subtractions) do not eliminate x or y (x and y still exist after manipulation).
=> Remaining option relating substitution would be a reasonable choice.
