Answer:
Problems left to complete = 9
Step-by-step explanation:
Given that:
Number of problems on the test = 45
Percent of completed problems = 80%
Number of completed problems = 
Number of completed problems = 0.8 * 45 = 36
Problems left to complete = 45 - 36
Problems left = 9
Hence,
Problems left to complete = 9
Answer:
75.95cm
Step-by-step explanation:
<u>4.9 multiplied by 15 will represent the 15</u> <u>seconds</u>
4.9 • 15 = 73.5
<u>4.9 divided by 2 will equal the 1/2 seconds</u>
4.9 ÷ 2 = 2.45
<u>add them all together</u>
73.5 + 2.45 = 75.95 cm
Answers:
5. x = 1
6. y = 11.5
Step-by-step explanation:
For question 5, you can use power of a point which describes the relationship of two secants intersecting inside a circle. You get the formula:
AC * CD = BC * CE
You can substitute the values you are given to get:
2 * 4 = x * 8
This gives you x = 1
For question 6, you can use another formula in power of a point that describes two secants intersecting in the exterior of a circle. You get the formula:
GH * GJ = GI * GK
Using segment addition postulate, you get:
GJ = GH + HJ = 5 + 16 = 21
GK = GI + IK = 6 + y --> y + 6
Now, substitute into the equation from power of a point:
5 * 21 = 6 * (y + 6)
105 = 6 * (y + 6)
17.5 = y + 6
y = 11.5
Answer:
Vertex = (-3, -1)
Axis of Symmetry: x = -3
Step-by-step explanation:
The vertex is (-3, -1), the axis of symmetry is x = -3. The x-intercept is -2 and -4, the y intercept is 8, the domain is R, the range is [-1, inf.]
The function is increasing in {-3, inf.} and decreasing in {-inf., 3}
