Step-by-step explanation:
Happy New Year Everyone!!!
Answer:
5:00 pm
Step-by-step explanation:
Let
x -----> the umber of hours
y ----> the total distance in miles
we know that
The distance is equal to the speed multiplied by the time
Find out the distance traveled by Ariel at 11:00 am
11:00 am-09:00 am=2 hours
45(2)=90 miles
so
<em>Ariel's linear equation is</em>
----> equation A
<em>Ariel's brother linear equation is</em>
----> equation B
Equate equation A and equation B

Solve for x



Adds 11:00 am + 6 hours=17:00 =5:00 pm
Answer:
45°
Step-by-step explanation:
The hour hand makes a trip of 360° around the face of the clock in 12 hours, so in 4.5 hours will make an angle of ...
... (4.5/12)·360° = 135°
clockwise from straight up.
The minute hand makes that 360° turn in 1 hour, so in 30 minutes, it will be 180° clockwise from straight up.
The difference between the angles of the hands is ...
... 180° -135° = 45°
Answer:
Point (1,8)
Step-by-step explanation:
We will use segment formula to find the coordinates of point that will partition our line segment PQ in a ratio 3:1.
When a point divides any segment internally in the ratio m:n, the formula is:
![[x=\frac{mx_2+nx_1}{m+n},y= \frac{my_2+ny_1}{m+n}]](https://tex.z-dn.net/?f=%5Bx%3D%5Cfrac%7Bmx_2%2Bnx_1%7D%7Bm%2Bn%7D%2Cy%3D%20%5Cfrac%7Bmy_2%2Bny_1%7D%7Bm%2Bn%7D%5D)
Let us substitute coordinates of point P and Q as:
,




![[x=\frac{4}{4},y=\frac{32}{4}]](https://tex.z-dn.net/?f=%5Bx%3D%5Cfrac%7B4%7D%7B4%7D%2Cy%3D%5Cfrac%7B32%7D%7B4%7D%5D)
Therefore, point (1,8) will partition the directed line segment PQ in a ratio 3:1.