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spayn [35]
2 years ago
5

What is the equation of the line that goes through the points (- 2, 1) and (0, 4) ? (Write your answer in standard form .)

Mathematics
1 answer:
tekilochka [14]2 years ago
5 0

Answer:

3x-2y+8=0

Step-by-step explanation:

The slope of the line that goes through the points (-2, 1) and (0, 4) is

\frac{4-1}{0-(-2)} = \frac{3}{2}

The slope of the line that goes through the points (x, y) and (0, 4) is

\frac{4-y}{0-x} = \frac{4-y}{-x}

So \frac{3}{2}=\frac{4-y}{-x}\\-3x=2(4-y)=8-2y\\3x-2y+8=0

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PLZ HELP QUICKLY!<br> Find the value of the expression.<br> 10^2
blagie [28]

Answer:

100 is correct answer

Step-by-step explanation:

{10}^{2}  \\  = 10 \times 10 \\  = 100

when ever anything ² , it means that number is multiplied by itself.

in above we multiple 10 with 10 and we get 100.

hope it helped you:)

8 0
3 years ago
Y= -4x + 1 table of values
Gre4nikov [31]
The table of possible values when graphing
X Y
-2 9
-1 5
0 1
1 -3
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The intercepts x (1/4,0) and y (0,1)
6 0
2 years ago
The Springer Dog Food Company makes dry dog food from two ingredients. The two ingredients (A and B) provide different amounts o
Nataly [62]

Answer:

a) Objective function (minimize cost):

C=0.50A+0.20B

Restrictions

Proteins per pound: 16A+8B\leq 12

Vitamins per pound: 4A+8B\leq 6

Non-negative values: A,B\geq0

b) Attached

c) The optimum solution (minimum cost) is 0 pounds of ingredient A and 0.75 pounds of ingredient B. The cost is $0.15 per ration.

d) The optimum solution changes. The cost is now 0 pounds of ingredient A and 0.625 pounds of ingredient B. The cost is $0.125 per ration.

Step-by-step explanation:

a) The LP formulation for this problem is:

Objective function (minimize cost):

C=0.50A+0.20B

Restrictions

Proteins per pound: 16A+8B\leq 12

Vitamins per pound: 4A+8B\leq 6

Non-negative values: A,B\geq0

b) The feasible region is attached.

c) We have 3 corner points. In one of them lies the optimal solution.

Corner A=0 B=0.75

C=0.50*0+0.20*0.75=0.15

Corner A=0.5 B=0.5

C=0.50*0.5+0.20*0.5=0.35

Corner A=0.75 B=0

C=0.50*0.75+0.20*0=0.375

The optimum solution (minimum cost) is 0 pounds of ingredient A and 0.75 pounds of ingredient B. The cost is $0.15 per ration.

d) If the company requires only 5 units of vitamins per pound rather than 6, one of the restrictions change.

The feasible region changes two of its three corners:

Corner A=0 B=0.625

C=0.50*0+0.20*0.625=0.125

Corner A=0.583 B=0.333

C=0.50*0.583+0.20*0.333=0.358

Corner A=0.75 B=0

C=0.50*0.75+0.20*0=0.375

The optimum solution changes. The cost is now 0 pounds of ingredient A and 0.625 pounds of ingredient B. The cost is $0.125 per ration.

3 0
3 years ago
What are the measures of Angles a, b, and c?<br><br> Show your work and explain your answers.​
jolli1 [7]

Answer:

∡a has a vertical angle sibling of 40°, and vertical angles are always congruent.

∡b is the 3rd angle in a triangle, the other two are 40° and 90°, recall all interior angles in a triangle add up to 180°.

∡c is a linear angle, namely an angle on the same flat-line as another, and linear angles always add up to 180°.

Step-by-step explanation:

6 0
2 years ago
Select the correct answer.
olya-2409 [2.1K]

Answer:

c

Step-by-step explanation:

cuz ik

5 0
2 years ago
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