Write an equation in point-slope form for the line that passes through the given points.

(4,−6), (6,−4)

Answer:

D. y = 9/4x

Step-by-step explanation:

First, find the gradient or slope, m

m = change in y ÷ change in x

m = (0 - -9) ÷ (0 - -4)

m = 9 ÷ 4 = 9/4

There is no y intercept, since the line goes through the origin (0,0)

y = 9/4x

Answer:

D.) y=9/4x

Step-by-step explanation:

The graph that I did has the line going through (0,0) and (-4,-9), like the question states.

Answer:

[tex](-9,\, 17)[/tex] is in the second quadrant of a cartesian plane.

Step-by-step explanation:

The horizontal and vertical axes divides the cartesian plane into four quadrants. The quadrants are numbered counterclockwise, starting from the top-right corner:

[tex]\begin{array}{c|c}\text{second quadrant} & \text{first quadrant} \\\cline{1-2} \text{third quadrant} & \text{fourth quadrant}\end{array}[/tex].

(The quadrants do not include the two axes. Points on either axes are not in any of the quadrant.)

A point in the form [tex](x_{0},\, y_{0})[/tex] is on the right half of the plane (to the right of the vertical axis) if [tex]x_{0} > 0[/tex]. This point is on the vertical axis through the middle of the plane if [tex]x_{0} = 0[/tex]. Otherwise, if [tex]x_{0} < 0[/tex], this point would be on the left half of the plane (to the left of the vertical axis.)

The [tex]x[/tex]-coordinate of [tex](-9,\, 17)[/tex] is [tex]x_{0} = -9[/tex].

Since the [tex]x[/tex]-coordinate of this point is below zero ([tex](-9) < 0[/tex]), this point would be on the left-hand side of the origin to the left of the vertical axis.

Likewise, a point in the form [tex](x_{0},\, y_{0})[/tex] is above the horizontal axis if [tex]y_{0} > 0[/tex], on the horizontal axis if [tex]y_{0} = 0[/tex], and below the horizontal axis if [tex]y_{0} < 0[/tex].

The [tex]y[/tex]-coordinate of the given point [tex](-9,\, 17)[/tex] in this question is [tex]y_{0} = 17[/tex].

Since the [tex]y[/tex]-coordinate of this point is greater than zero ([tex]17 > 0[/tex]), this point would be above the horizontal axis.

Thus, the point [tex](-9,\, 17)[/tex] would be in the top-left quarter of the plane. The top-left quarter of the plane corresponds to the second quadrant, since this quadrant is the second quadrant after the first quadrant in the top-right corner. Hence, [tex](-9,\, 17)\![/tex] would be in the second quadrant of the plane.

Answer:

i cant see it

Step-by-step explanation:

Answer:

7 x 7 = 49

49 is closest to 50

B is your answer

Step-by-step explanation:

Answer:

2.22

Step-by-step explanation:

Answer: $135

Explanation: To find how much 15 pizzas will cost, first we have to find out how much just one pizza will cost. To do this, you have to divide both the number of pizzas (8) and also the price for those 8 pizzas ($72) by the number of pizzas (8 again). When you do this you get the price of one pizza. Then you multiply the price of one pizza by the amount of pizzas you actually need to find the value for (15). This is a lot to explain but don't lose hope! Let me show you step by step and it'll make more sense.

Step 1) Divide both the amount of pizzas and the cost of that many pizzas

8 ÷ 8 = 1

72 ÷ 8 = 9

This means that one pizza costs 9 dollars.

Step 2) Multiply the cost of one pizza by 15 (the amt of pizzas you need to find the cost for)

15 × 9 = 135

135 is the cost for 15 pizzas. I hope this helps you!

Answer:

Step-by-step explanation:

Sbakjxd

Answer:

VU, VT, TU

Step-by-step explanation:

List the side lengths of triangle TUV from shortest to longest.

A. VU, VT, TU

B. VT, TU, VU

C. VT, VU, TU

D. VU, TU, VT"

Answer:

a = 3 , b = 5

Step-by-step explanation:

Answer:

-2x - 6

Step-by-step explanation:

I used a calculator :)

The answer is number 3

-2x-6

Hope this helps

Answer:

• For y-intercept [ x = 0 ]

[tex]{ \rm{y = - 2x - 21}} \\ \\ { \rm{y = ( - 2 \times 0) - 21}} \\ \\ { \rm{y = - 21}} \\ \\ { \boxed{ \rm{ \: y - intercept : \: (0, \: - 21) \: }}}[/tex]

• For x-intercept [ y = 0 ]

[tex]{ \rm{y = - 2x - 21}} \\ \\ { \rm{0 = - 2x - 21}} \\ \\ { \rm{2x = - 21}} \\ \\ { \rm{x = - 10.5}} \\ \\ { \boxed{ \rm{x -intercept : \: ( - 10.5, \: 0) \: }}}[/tex]

Answer:

I hope you got it right!! :)

Step-by-step explanation:

9514 1404 393

Explanation:

We assume all the numbers considered here are positive.

Dividing by a number is the same as multiplying by its reciprocal. A fraction less than 1 can be represented as the ratio m/n, where m < n. The reciprocal of this fraction is n/m, where n > m. That is, the reciprocal of a fraction less than 1 is a number greater than 1.

When you divide by a number less than 1, you effectively multiply by a number greater than 1. That is why the quotient is greater than the original dividend.

Answer:

180.4

Step-by-step explanation:

6 times 12.50 is 75

and the rest is 4 and 4 times 26.35 is 105.4

Answer 105.4 + 75 = 180.4

Answer:

 Equivalent ratio of 9:1 is 18:2.

Mark me as the brainlist

Answer:

18:2 is equivalent

pretty sure

-2pi, -4.5, -3 5/6 , -8/3 , square root of 16

negative numbers are weird and go down greast to least and the square root of 16 is simply 4

Answer:

Example 1 is 25%

Example 2 is 3.5%

Example 3 could be $10,464.41  See attached.

Step-by-step explanation:

Example 1

An increase of sales to $9,500 is an increase of:

Sales increase = ($9,500 - 7,600) / $7,600

Sales increase = .25, or 25%

Assuming costs and assets increase proportionally, the pro forma financial statements will look like this:

Pro forma income statement Pro forma balance sheet

Sales $ 9,500.00 Assets $ 23,875.00 Debt $ 7,000.00

Example 2.

Return on equity (ROE) is a measure of financial performance calculated by dividing net income by shareholders' equity. Because shareholders' equity is equal to a company’s assets minus its debt, ROE is considered the return on net assets. ROE is considered a gauge of a corporation's profitability and how efficient it is in generating profits.

Example below given on 2nd example is 60% payout ratio type question with constant debt equity ratio.

Return on equity 34008 / 90400 = 0.37619469

A / S = $ 34,008 / $ 90,400 = 37.6%

L / S = $ 9,040 / $ 90,400 = 10%

Change in Sales or ΔSales = $ a - $ 90.400 = $ b

EFN = (.376 x $ b) - (.10 x $ b ) - ((profit margin x $ a) x (1 - .dividend payout ratio))

Formula EFn = 0 = full subtraction of EFN

Example 3 - Calculation of the EFN:

Total Assets last year = $ 6.5 Million

Total Sales last year = $ 21.0 Million

Total Current Liabilities last year = $ 2.1 Million

Profit Margin = 4% of sales

Forecasted Sales = $ 24.5 Million

Dividend Payout Ratio or d = 60%

A / S = $ 6.5 / $ 21.0 = 31%

L / S = $ 2.1 / $ 21.0 = 10%

Change in Sales or ΔSales = $ 24.5 - $ 21.0 = $ 3.5

EFN = (.31 x $ 3.5) - (.10 x $ 3.5) - ((.04 x $ 24.5) x (1 - .60))

EFN = $ 1.085 - $ .35 - ($ .98 x .40)

EFN = $ .735 - $ .392

EFN = $ .343

Answer:

80 feet

Step-by-step explanation:

6 cm = 15 feet

1 cm = 5/2 feet

32 cm = 90 feet

The actual perimeter of the room is 90 feet.

A scale factor is defined as the ratio between the scale of a given original object and a new object,

We have,

The scale drawing of a rectangular room measures 10 cm long by 6 cm wide.

The actual width of the room is 15 feet.

This means,

6cm = 15 feet

1 cm = 15/6 feet

1 cm = 5/2 feet

Now,

The perimeter of the rectangular room.

= 2(10 + 6)

= 2 x 16

= 32 cm

1 cm = 5/2 feet

So,

32 cm = 32 x 5/2 feet

32 cm = 16 x 5 feet

32 cm = 90 feet

Thus,

The actual perimeter of the room is 90 feet.

Learn more about scale factors here:

https://brainly.com/question/20759556

#SPJ2

Answer:

35

Step-by-step explanation:

Using the definition of n[tex]C_{r}[/tex]

with n = 7 and r = 3

7[tex]C_{3}[/tex]

= [tex]\frac{7!}{(7-3)!3!}[/tex]

= [tex]\frac{7!}{4!(3!)}[/tex]

= [tex]\frac{7(6)(5)(4)(3)(2)(1)}{4(3)(2)(1)3(2)(1)\\}[/tex] ← cancel 4(3)(2)(1) on numerator/denominator

= [tex]\frac{7(6))(5)}{3)2)(1)}[/tex]

= [tex]\frac{210}{6}[/tex]

= 35

Answer:

I got c

Step-by-step explanation:

18 minus plus 5 plus 7  is -30 so it dont represent zero

Answer:

C

Step-by-step explanation:

Answer:

222 meters

Step-by-step explanation:

Zayn puts a total of 888 meters of garland around a square window.

Because a square has all equal sides, divide the amount of garland he used by 4 to find how much is used per side:

888 ÷ 4 = 222

So, the height of the window is 222 meters.

It looks like the given equation says

[tex]xy^8 + e^{y/5} = e[/tex]

When x = 0, you have

[tex]0\cdot y^8 + e^{y/5} = e \\\\ e^{y/5} = e^1 \\\\ \dfrac y5 = 1 \\\\ y=5[/tex]

Differentiating both sides with respect to x gives

[tex]\left(xy^8 + e^{y/5}\right)' = e' \\\\ \left(xy^8\right)' + \left(e^{y/5}\right)' = 0 \\\\ x\left(y^8\right)' + x'y^8 + e^{y/5}\left(\dfrac y5\right)' = 0 \\\\ 8xy^7y' + y^8 + \dfrac15e^{y/5}y' = 0[/tex]

That is, the derivative operator distributes over sums, and the derivative of a constant is 0; apply the product rule on the first term and chain rule on the second; then use chain rule one more time.

Now plug in x = 0 and y = 5, and solve for y' :

[tex]8\cdot0\cdot5^7y' + 5^8 + \dfrac15e^{5/5}y' = 0 \\\\ 5^8 + \dfrac15e y' = 0 \\\\ \dfrac15e y' = -5^8 \\\\ y' = \boxed{-\dfrac{5^9}e}[/tex]

Answer:

y = -9/11x - 28/11

Step-by-step explanation:

y2 - y1 / x2 - x1

4 - (-5) / -8 - 3

9/-11

= -9/11

y = -9/11x + b

4 = -9/11(-8) + b

4 = 72/11 + b

-28/11

Answer:

9762

Step-by-step explanation:

Answer:

[tex]D)\:(3x^{2} +2)(x+4)[/tex]

Step-by-step explanation:

[tex]3x^{3} + 12x^{2} + 2x + 8[/tex]

Group, [tex]3x^3+12x^2+2x+8[/tex]  [tex]=(3x^{3} +12x^{2} )+(2x+8)[/tex]factor out [tex]3x^{2}[/tex]in the first and 2 in the second group.

[tex]3x^{2} (x+4)+2(x+4)[/tex]

Factor out common term [tex]x+4[/tex] by using distributive property.

polynomial [tex]3x^{2} +2[/tex] is not factored since it does not have any rational roots.

[tex](3x^{2} +2)(x+4)[/tex]

_____________________________

Answer:d

Step-by-step explanation:

Answer:

i think its the middle one

Step-by-step explanation: