Answer:
Step-by-step explanation:
For convenience, I labeled some points as shown in the attached picture.
Also, I assume and are tangents to the circle.
- (reflexive property)
- (tangents drawn from a common external point are congruent)
- (right angles are congruent)
Therefore, we know by HL.
Thus, by CPCTC,
This means the measure of minor arc AC is , and thus
The one digit prime numbers are 2,3,5,7
To find the y intercept you use this equation:
y2 - y1
Same for x intercept:
x2 - x1
Pick two points, put in the values, and solve.
(-5,-7) and (0,-5)
-5 - (-7) = 2
0 - (-5) = 5
The y intercept is (0,2)
The x intercept is (5,0)
Hope this helps! :)
-Peredhel
Using a piece-wise function, the representation of the graph is given as follows:
Walking uphill for 3 hours and downhill for 1 hour.
<h3>What is a piece-wise function?</h3>
A piece-wise function is a function that has multiple definitions, depending on the input.
In this problem, we have that:
- For the first 3 hours, the slope is of 2 miles per hour, equivalent to walking uphill.
- For the final hour, the slope is of 3 miles per hour, equivalent to walking downhill.
Hence the meaning of the graph is:
Walking uphill for 3 hours and downhill for 1 hour.
More can be learned about piece-wise functions at brainly.com/question/27262465
#SPJ1
Answer: -1
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
1
3
(
6
x
−
12
)
+
2
x
=
−
8
(
1
3
)
(
6
x
)
+
(
1
3
)
(
−
12
)
+
2
x
=
−
8
(Distribute)
2
x
+
−
4
+
2
x
=
−
8
(
2
x
+
2
x
)
+
(
−
4
)
=
−
8
(Combine Like Terms)
4
x
+
−
4
=
−
8
4
x
−
4
=
−
8
Step 2: Add 4 to both sides.
4
x
−
4
+
4
=
−
8
+
4
4
x
=
−
4
Step 3: Divide both sides by 4.
4
x
4
=
−
4
4
x
=
−
1