Answer:
y = (-3/2)x + 7
Step-by-step explanation:
3x + 2y = -4 (rearrange to slope intercept form y = mx + b)
2y = -3x - 4
y = (-3/2) x - 2
comparing this to the general form of a linear equation : y = mx + b
we see that slope of this line (and every line that is parallel to this line),
m = -3/2
if we sub this back in to the general form, we get:
y = (-3/2)x + b
We are still missing the value of b. To find this, we are given that the point (4,1) lies on the line. We simply substitute this back into the equation and solve for b.
1 = (-3/2)4 + b
1 = -6 + b
b = 7
substituting this back into the equation:
y = (-3/2)x + 7
Answer:
1832 miles
Step-by-step explanation:
First we need to find the angle between the routes of the planes.
If one is N30°W and the other is S45°W, we can find the angle between the routes with the following equation:
30 + angle + 45 = 180
angle = 105°
Then, we need to find the distance travelled by each plane, using the formula:
distance = speed * time
The time is 1.5 hours, so we have that:
distance1 = 800 * 1.5 = 1200 km
distance2 = 750 * 1.5 = 1125 km
Now, to find the distance between the planes, we can use the law of cosines:
distance^2 = 1200^2 + 1125^2 - 2*1200*1125*cos(105)
distance^2 = 3356214.43
distance = 1832 miles
<u>Answer:</u>
66 pictures
<u>Step-by-step explanation:</u>
180 ÷ 3 = 60 60 x 2 = 120
120 = 2/3. He took <em><u>120 pictures on the first day </u></em><em><u>of his vacation.</u></em>
120 ÷ 4 = 30 30 x 1 = 30
30 = 1/4. <em><u>He took </u></em><em><u>30 pictures of landscapes</u></em>
120 ÷ 10 = 12 12 x 3 = 36
0.3 = 36. <em><u>He took </u></em><em><u>36 pictures of people.</u></em>
36 + 30 = 66 pictures.
<em><u>He took 66 pictures of landscapes and people.</u></em>
Hopefully this helps :3 sorry if wrong :( plz mark brainiest if correct :D Your bootiful/handsome! Have a great day luv <3
-Bee~
In the case above, the correct vectors are:
- <25.98, -15>.
- <1.71, 4.7>.
<h3>What is the ship vector about?</h3>
The solution for the Ship's vector are:
Note that the Horizontal aspect = 30 cos 30
= 25.98.
For the Vertical aspect = 30 sin(-30)
= -15.
Hence it will be <25.98, -15>.
In regards to the current's vector:
The Horizontal aspect= 5 sin 20
= 1.71.
The Vertical aspect = 5 cos 20
= 4.7.
Hence it will be <1.71, 4.7>.
Therefore, In the case above, the correct vectors are:
- <25.98, -15>.
- <1.71, 4.7>.
Learn more about vectors from
brainly.com/question/23973576
#SPJ1
Answer:
1/15 L
Step-by-step explanation:
1/5 x 3
1 x 1 is numerator
5 x 3 are the denominators
