Hey there :)
- tan²x + sec²x = 1 or 1 + tan²x = sec²x
sin²x + cos²x = 1
Divide the whole by cos²x
so
and
so
Therefore,
tan²x + 1 = sec²x
Take tan²x to the other side {You will have the same answer}
1 = - tan²x = sec²x or sec²x - tanx = 1
If the parabola looks like an “n,” your vertex will be a maximum. If the parabola looks like a “u,” the vertex will be a minimum.
Answer:
11 hours she worked at the grocery store
Step-by-step explanation:
assuming,
the number of hours worked at tutoring = x
the number of hours worked at grocery store = y
which means,
the amount she made at tutoring = x* $15
the amount she made at grocery store = y*$9
we have 2 equations
<em>total number of hours</em>
1) x+y= 15
<em>total amount she earned</em>
2) x* $15+ y* $9= $159
From equation 1
x+y= 15
x=15-y
<em>we replace this x value in equation 2</em>
x* $15+ y* $9= $159
(15-y)* $15+ y* $9= $159
(15*15)- 15y+9y=159
225-6y=159
225-159=6y
66=6y
66/6=y
<u>11=y</u> <em>the number of hours she worked at grocery store. </em>
<em>we place y=11 in our derived x equation</em>
x=15-y
x=15-11
<u><em>x=4 </em></u><em>the number of hours she worked at tutoring. </em>
9) 0.3
10) 4.1
11) 0.5
12) 4.8
13) 3.2
14) 1.6
15) 3.9
16) 1.5
Hope this helped, please mark brainliest
Answer:
It will take you 0.24 hour to ride to your grandparents’ home
It will take you 14 minutes to ride to your grandparents’ home
Step-by-step explanation:
- Your average speed is 15 miles per hour
- The distance to grandmother home is 3.67 miles
- You need to know how long it will take you to do that
∵ Distance = speed × time
∵ Distance = 3.67 miles
∵ Speed = 15 miles per hour
- Substitute these values in the rule above
∴ 3.67 = 15 × time
- Divide both sides by 15 to find the time
∴ Time = 0.24 hour
* It will take you 0.24 hour to ride to your grandparents’ home
- You need to convert the time from hour to minutes
∵ 1 hour = 60 minutes
∵ Time = 0.24 hour
∴ Time = 0.24 × 60 = 14.4
∴ Time ≅ 14 minutes
* It will take you 14 minutes to ride to your grandparents’ home
