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yaroslaw [1]
3 years ago
14

Can someone help me with this i am confused

Mathematics
1 answer:
Eva8 [605]3 years ago
6 0
Plot each point on a graph , then count how many you need to go up and then over in this case it is 8 over 1 then calculate the y int so y= 8x -25
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The distance between the point (2,1,1) and the plane x-2y=5 is​
Eduardwww [97]

The given plane has normal vector

x-2y=5\implies\mathbf n=\langle1,-2,0\rangle

Scaling <em>n</em> by a real number <em>t</em> gives a set of vectors that span an entire line through the origin. Translating this line by adding the vector <2, 1, 1> makes it so that this line passes through the point (2, 1, 1). So this line has equation

\mathbf r(t)=\langle1,-2,0\rangle t+\langle2,1,1\rangle=\langle 2+t, 1-2t, 1\rangle

This line passes through (2, 1, 1) when <em>t</em> = 0, and the line intersects with the plane when

x-2y=5\implies(2+t)-2(1-2t)=5\implies5t=5\implies t=1

which corresponds the point (3, -1, 1) (simply plug <em>t</em> = 1 into the coordinates of \mathbf r(t)).

So the distance between the plane and the point is the distance between the points (2, 1, 1) and (3, -1, 1):

\sqrt{(2-3)^2+(1-(-1))^2+(1-1)^2}=\boxed{\sqrt5}

7 0
4 years ago
Older Orchards need more hives per acre Caleb has decided to place 6 hives for every 2 acres on an older peach orchard Zeke one
Serhud [2]

Answer:

Zeneca did not follow the directions. In order to follow Caleb's directions, Zelda would need to bring in 6 hives for every 2 acres of peaches.

If there are 30 acres, this means he would 15 groups of 6 hives (90 hives). He only brought 10.

Step-by-step explanation:

7 0
3 years ago
A city park is shaped like a right triangle. Its base is 20 yards and its depth is 48 yards. What is the area of the park?
GREYUIT [131]
The area is 50 yards
7 0
4 years ago
Read 2 more answers
Solve the equation for x in terms of c.
Vanyuwa [196]

Answer:

D

Step-by-step explanation:

Simplify and rearrange to solve.

2/3 (cx + 1/2) - 1/4 = 5/2

2/3 (cx + 1/2) = 5/2 + 1/4

2/3 (cx + 1/2) = 11/4

cx + 1/2 = 11/4 divided by 2/3

cx + 1/2 = 33/8

cx = 33/8 - 1/2 = 29/8

x= 29 / 8 divided by x = 29/8c.

Hope this helps.

8 0
3 years ago
Read 2 more answers
I REALLY NEED HELP WITH THIS!!!! | I WOULD MARK BRIANLIEST
madreJ [45]

Answer:

104 degrees.

Step-by-step explanation:

angle 5 is equivalent to angle 3. and a straight line is 180 degrees. So you have to subtract 76 form 180. Hope this helped!

5 0
3 years ago
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