Answer:
x = 10
Step-by-step explanation:
<u>Complementary angles mean 90 degree angle.</u>
Angle P + Angle Q = 90°
Angle P ---> 29°
Angle Q --> 6x + 1
<u>Find x</u>
Angle P + Angle Q = 90°
29 + 6x + 1 = 90°
30 + 6x = 90
6x = 90-30
6x = 60
x = 60/6
x = 10
Therefore, the value of x = 10.
Angle Q = 6x + 10 --> 6(10) + 1 --> 61°
Answer:
see explanation
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (3, 1), hence
y = a(x - 3)² + 1
To find a substitute (- 2, - 4) into the equation
- 4 = a(- 2 - 3)² + 1
- 4 = 25a + 1 ( subtract 1 from both sides )
25a = - 5 ( divide both sides by 25 )
a = -
= - 
y = -
(x - 3)² + 1 ← in vertex form
A) x < -12
sorry can't do b
A.
The second and first quadrant, because the hour and temperatures are unlikely to be negative numbers. All positive numbers for both X and Y values are in the second quadrant. If the hour is before noon, then the X value will venture into quadrant one. The diagram shows the quadrants in a graph.
B. For both the time and the temperature to be negative, and in quadrant four, you would have to be located in possibly Alaska or northern Canada. In such locations colder areas would be more likely to have negative temperatures and at times before 12.
Answer:
Step-by-step explanation:
1) Price of 8 pack of toothbrushes = $ 18.12
Price he paid after using coupon = 18.12 - 3 = $ 15.12
Unit rate = Price he paid ÷ number of toothbrushes
= 15.12 ÷ 8
= $ 1.89
2) 0.5 hours = 30 minutes
Duration of guitar class on Monday = 30 minutes
Duration of guitar class on Tuesday = 1.5 hours = 1 hr 30 min
Duration of guitar class on Thursday = 2 hrs
Total duration = 30 min + 1hr 30 min + 2 hrs
= 4 hrs
Amount paid for 4 hrs = $ 180
Rate per hour = 180 ÷ 4
= $ 45