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3 years ago

Which equation below describes a circle. What are the coordinates of the center of the circle

1 answer:

8 0

The equation for a circle is
(x - h)^2 + (y - k)^2 = r^2 where r is the radius and the center is (h,k). I don’t see any options for answers though so I can’t help with the last part.

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Which points are coplanar and noncollinear

yaroslaw [1]

Answer:

Non-collinear points: These points, like points X, Y, and Z in the above figure, don't all lie on the same line. Coplanar points: A group of points that lie in the same plane are coplanar. Any two or three points are always coplanar. Four or more points might or might not be coplanar.

Step-by-step explanation:

4 0

3 years ago

Can someone do 11??? Please help I don’t want to fail my class

jolli1 [7]

<h3>Answer: choice A) </h3><h3>tan(Y) = 6/7 and tan(Z) = 7/6</h3>

Recall that the tangent of an angle is equal to the ratio of the opposite over adjacent sides

tan(angle) = opposite/adjacent

For reference angle Y, the opposite side is XZ = 6 and the adjacent side is XY = 7, so,

tan(Y) = XZ/XY = 6/7

For tan(Z), things will swap. The opposite side is now XY = 7 and the adjacent side is now XZ = 6

tan(Z) = XY/XZ = 7/6

We do not use the hypotenuse sqrt(85) at all in this problem because the tangent ratio does not involve the hypotenuse.

4 0

3 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

A ____ of a triangle is the perpendicular segment from a vertex to the opposite side or to the line that contains the opposite s

blagie [28]

Answer:

Altitude

Step-by-step explanation:

An altitude of the triangle is the line segment from a vertex to the opposite side and perpendicular to the opposite side. The orthocenter will not always be inside the triangle. This is why the orthocenter is the point of concurrency of the lines containing the altitudes rather than just the altitudes.

8 0

2 years ago

John commutes each day to work either by train or by bus. The bus pass costs 10$ plus 2$ per trip. The train costs 15$ plus 1.50

babunello [35]

Answer:

Step-by-step explanation:

i plugged in each of the numbers to the equation

at 9 trips the bus costs 28 and train cost 25.5

5 0

2 years ago