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Vladimir [108]
3 years ago
8

Find the slope of the line that passes through these two points. (-2, 11) and (5, 6)

Mathematics
1 answer:
Semenov [28]3 years ago
8 0

Answer:

-5/7

Step-by-step explanation:

(y2-y1)/(x2-x1) (6-11)/(5--2)

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A pharmacist has 40% and 60iodine solutions on hand. How many liters of each iodine solutions will be required to produce 4 lite
Schach [20]

A pharmacist has 40% and 80% of iodine solutions on hand. How many liters of each iodine solution will be required to produce 4 liters of a 50% iodine mixture?

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Let x = liters of 40% iodine

then

4-x = liters of 80% iodine

Using algebra:

.40x + .80(4-x) = .50(4)

.40x + 3.20-.80x = 2

3.20-.40x = 2

x = 4 liters (40% iodine)

80% iodine:

4-x = 4-4 = 0 liters needed (80% iodine)

4 0
3 years ago
Let M = {2, 5, 7} and N = {4, 5, 8}.
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C is the answer of the questions
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3 years ago
The temperature of a pot of water is 62 ferinit the temperature increases by 20 f per
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3 years ago
Find the equation for the plane that contains the line x=−1+3t , y=1+2t, z=2+4t and is perpendicular to the plane containing the
Ivan

Let L be the line given by the vector equation

(-1,1,2) + \lambda(3,2,4) \ , \lambda \in \mathbb{R}.

First, we use the director vectors of the lines L1 and L2 to get the

vector equation of the plane containing them, which we denote by \Pi_1. This is,

\\\\\Pi_1  : (1,-1,5) + \alpha (2,-1,6) + \beta (1,1,-3) \ , \alpha, \beta \in \mathbb{R}\\\\\\

We observe that \vec{N} = (2,-1,6)\times(1,1,-3) = (-3,12,3) \ne (0,0,0). Therefore, the vector equation of \Pi_1 defines a plane and \vec{N} is a normal vector to \Pi_1.

 

Finally, the vector equation for the wanted plane, which we denote by \Pi, is

\Pi : (-1,1,2) + r(3,2,4) + s(-3,12,3), r,s \in \mathbb{R} \ .

Thus, if s = 0, then L \subset \Pi and since \vec{N} is parallel to \Pi, then it is perpendicular to \Pi_1.

8 0
3 years ago
X-5= -4 <br> what is the answer for x?
frez [133]

Answer:

x = 1

Step-by-step explanation:

by solving the equation we get ;

  • x -5 = -4
  • x = -4 + 5
  • x = 1
4 0
3 years ago
Read 2 more answers
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