in the first quadrant you start at 11,8 and move 9 units left and 3 units up what point will you end up on

If I can read 54 pgs in 3 days, how many can I read in 1 day?

nignag [31]

Its 18 because you would divide 54 bu 3

7 0

3 years ago

Read 2 more answers

Which points on the curve of x^2 - xy - y^2 = 5 have vertical tangent lines?

algol [13]

We need to differentiate this with respect to x to see if we can find an expression for the derivative of y at various points. That will be the slope of the tangent to the curve. Then we want to see where that derivative might be infinite -- i.e., where the tangent is vertical.

It's not written as a function, but it can still be differentiated using the chain rule:

x2 + xy + y2 = 3

(2x) + (x dy/dx + y dx/dx) + (2y dy/dx) = 0

(I used parentheses to show the differentiation of each term in the original equation.)

2x + x dy/dx + y + 2y dy/dx = 0

2x + y = -x dy/dx - 2y dy/dx

2x + y = dy/dx (-x -2y)

-(2x + y)/(x + 2y) = dy/dx

We have the derivative of y, but it's defined partly in terms of y itself. That's OK. Let's go on...

So where would the slope be infinite? That would happen when x + 2y = 0, or y = -x/2

Let's plug that in for y in the original equation to find points where that's the case.

x2 + xy + y2 = 3

x2 + x(-x/2) + (-x/2)2 = 3

x2 - x2/2 + x2/4 = 3

3x2 / 4 = 3

x2 = 4

x = ±2

So we have two x values where the tangent might be vertical. Let's plug them into the equation and see what the y values are. First x = 2...

x2 + xy + y2 = 3

4 + 2y + y2 = 3

y2 + 2y + 1 = 0

(y + 1)2 = 0

y = -1

So at the point (2, -1) the tangent is vertical.

Now try x = -2...

x2 + xy + y2 = 3

4 - 2y + y2 = 3

y2 - 2y + 1 =0

(y - 1)2 = 0

y = 1

So at the point (-2, 1) the tangent is vertical.

8 0

2 years ago

A band consists of 3 woodwinds for every 7 members of the band. The independent quantity represents the total members of the ban

IgorC [24]

Answer: $k=\frac{3}{7}$

Step-by-step explanation:

For this exercise it is important to remember the following:

The constant of proportionality, which is represented as "k", describe the constant ratio of two quantities that are proportional (the independent and dependent variables).

In this case we know that the independent quantity represents the total members of the band and the dependent quantity represents the woodwind members of the band.

Since the band consists of 3 woodwinds for every 7 members of the band, we can conclude that the constant of proportionality for this relationship is:

$k=\frac{3}{7}$

8 0

3 years ago

At the store I can buy a 2 pack of shirts for $22.78 or a 6 pack of shirts for $67.80. Which is the better deal?

mina [271]

Answer: A 6 pack of shirts for $67.80 is the better deal than the other one.

Step-by-step explanation: Is that one because you need to divide each of the prices to the number of shirts. First, lets start of with 22.78/2, 22.78 divided by the 2 pack of shirts is a quotient of $11.39.

Next lets do $67.80 / 6, So 67.80 divided by 6 equals $11.30. Meanwhile, 11.30 < 11.39 because of the sale. So that's why the 6 pack of shirts for $67.80 is the better deal.

PLS MARK ME AS BRAINLEST.

8 0

2 years ago

Please help me with these questions. Ill mark brainliest to whoever answers correctly!!

LUCKY_DIMON [66]

Answer:

see below

Step-by-step explanation:

$3(i)\\\\AD=?\\\\\cos (\angle BDA)=\frac{AD}{BD}\\\\\cos (27)=\frac{AD}{3}\\\\AD=3\cos 27\\\\AD\approx 2.67$