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

(4,−6), (6,−4)

Answer: 40

Step-by-step explanation:

15 / 37.5 x 100 = 40

Differentiate both sides of

[tex]x^{2/3} + y^{2/3} = 4[/tex]

implicite with respect to x :

[tex]\dfrac23 x^{-1/3} + \dfrac23 y^{-1/3} \dfrac{\mathrm dy}{\mathrm dx} = 0[/tex]

Solve for the derivative dy/dx :

[tex]x^{-1/3} + y^{-1/3} \dfrac{\mathrm dy}{\mathrm dx} = 0 \\\\ y^{-1/3} \dfrac{\mathrm dy}{\mathrm dx} = - x^{-1/3} \\\\ \dfrac{\mathrm dy}{\mathrm dx} = -\dfrac{x^{-1/3}}{y^{-1/3}} \\\\ \dfrac{\mathrm dy}{\mathrm dx} = -\left(\dfrac yx\right)^{1/3}[/tex]

Get the slope at the given point (-3√3, 1) :

[tex]\dfrac{\mathrm dy}{\mathrm dx}(-3\sqrt3,1) = -\left(\dfrac{1}{-3\sqrt3}\right)^{1/3} = \dfrac1{(3\sqrt3)^{1/3}} = \dfrac1{\sqrt3}[/tex]

Then the equation of the tangent line to the curve through (-3√3, 1) is

[tex]y - 1 = \dfrac1{\sqrt3}(x+3\sqrt3) \\\\ \boxed{y = \dfrac1{\sqrt3}x + 4}[/tex]

thats the graph for it hope it helps

Step-by-step explanation:

[tex] {3a}^{2} - 7a \\ a(3a - 7) \\ \\ \\ \\ \\ \\ hope \: it \: helps \\ stay \: safe \: healthy \: and \: happy[/tex]

Step-by-step explanation:

graduated from Booker T. Washington High School and was admitted to Morehouse College at age 15. Graduates from Morehouse college and enters Crozer Theological Seminary.

Answer:

Approximately there are 119.47 students per week

Step-by-step explanation:

The # of students in the sample study between 9.7 and 17.7 hrs per week;

P (9.7 < x < 17.7) =  P ((9.7 - 13.7)/4 < 7 < (17.7-13.7)/4)

P (-4/4 < 7 < 4/4)

P (-1 < 7 < 1)

0.8413 - 0.1587

0.6827

Therefore the # of student = n P

175 * 0.6827

119.47

Answer:

B. 12,672 in^2

16 x 18 x 44 = 12672

Answer:

D.

Step-by-step explanation:

Testing the hypothesis, it is found that the p-value of the test is 0.017 < 0.05, which means that we can conclude that the red shirt increases his chances of winning.

At the null hypothesis, we test if the proportion is of 40%, that is:

[tex]H_0: p = 0.4[/tex]

At the alternative hypothesis, we test if the proportion is greater than 40%, that is:

[tex]H_1: p > 0.4[/tex]

The test statistic is:

[tex]Z = \frac{X - p}{s}[/tex]

In which:

[tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex]

With n as the sample size.

In this problem:

[tex]s = \sqrt{\frac{0.4(0.6)}{3}} = 0.283[/tex]

The value of the test statistic is:

[tex]Z = \frac{X - p}{s}[/tex]

[tex]Z = \frac{1 - 0.4}{0.283}[/tex]

[tex]Z = 2.12[/tex]

The p-value is the probability of finding a sample proportion of 1 or "above", which is 1 subtracted by the p-value of Z = 2.12.

The p-value of the test is 0.017 < 0.05, which means that we can conclude that the red shirt increases his chances of winning.

A similar problem is given at https://brainly.com/question/24166849

Answer:

five ninths plus four sixths is sixty six fifty four

Answer:

congruent

Step-by-step explanation:

If two angles are vertical angles, then they're congruent

hope it helps

mark me brainliest

Answer:

Answer: The Expression (f + g)(4) is equal to f(4) + g(4).

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

please mark brainiest

Using the percentage principle, the estimated and actual sale price of the Home are $275, 000 and $307,000 respectively.

Estimated commison = $8250

Let Estimated sale price = P

3% × P = 8250

0.03p = 8250

p = 8250 / 3

p = $275000

Actual commission earned = $9210

Let Actual sale price = P

3% × P = 9210

0.03p = 9210

p = 9210 / 3

p = $307,000

Therefore, the estimated and actual sale price are $275,000 and $307,000 respectively.

Learn more : https://brainly.com/question/18112348

Answer:

-2+I nhgjkhgggggcdffdssssdddddfffyhjbnj

Answer:

I'm almost 30,000 dollars in debt

Step-by-step explanation:

It makes me cry

Answer:

36/12=3

12/4=3

Therefore, common ratio is 3

Tn = ar^(n-1)

T0=4*3^(0-1)

4*1/4

4/3

8n -2n=7+5

6n =12

n =2

this is the answer

Step-by-step explanation:

Perimeter of the quadrilateral = sum of the length of all the four sides. Note: Missing side of the quadrilateral = Perimeter of the quadrilateral - Sum of the length of three sides.

Answer:

A. 60 degrees

B. 60 degrees

Step-by-step explanation:

(a)

60 degrees +60 degrees + missing angle  = 180 degrees

(angle sum property of triangle)

missing angle = 180 - 120 = 60 degrees

(b)

90 degrees + 30 degrees =120 degrees +missing angle = 180 degrees

missing angle = 60 degrees

Answer:

x=5, y=2, z=2

Step-by-step explanation:

y=3x-13

-3x+4y+2z = -3x + 4(3x-13) + 2z = 9x+2z-52 = -3

9x + 2z = 49  ... (1)

2x-4y-z = 2x-4(3x-13)-z = -10x-z+52 = 0

10x + z = 52  ... (2)

(2)*2-(1): 11x = 55         x = 5

y = 3x-13 = 15-13 = 2      y=2

z = (49-9x) / 2 = 2         z = 2

The value of 11(d-c)+3(c+d) by using the values c=6 and d=9 is 69.

A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression. In a mathematical expression, the following terms are used:

Given:

Expression: 11(d-c)+3(c+d)

Now, put the values of c= 6 and d= 9 we get

11(d-c)+3(c+d)

= 11 (9- 6) + 3( 9+3)

= 11 (3) + 3 (12)

= 33+ 36

= 69

Learn more about Expression here:

https://brainly.com/question/14083225

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Answer:

1.(x-7)(x+2)=x^2-7x+2x-14=x^2-5x+14

2.(x+5)(x-1)=x^2-x+5x-5=x^2+4x-5

3.-2(x+1)(x-2)=-2(x^2-2x+x-2)=-2(x^2-x-2)=-2x^2+2x+4

Answer:

Explain more

Step-by-step explanation:

You need to explain more like add an image or tell us how much much money is a rope.

Answer:

-5m-14

Step-by-step explanation:

-8M-8+3M-6

Add -8m and 3m, -8 + 3m = -5m

Next add negative 8 and 6, -6 + -8 = -14

Lastly, put it together,  -5m -14.

Hope that helps!

It is observed that point (18, 206) does not lie on the line. Then the correct option is D.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The equation is given below.

y = 12x

Where 'y' represents the number of gallons of water in the pool and 'x' represents the number of minutes the water runs.

The equation is drawn below.

From the chart, it is seen that point (18, 206) doesn't lie on the line. Then the right choice is D.

More about the linear equation link is given below.

https://brainly.com/question/11897796

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Answer:

C or B

Step-by-step explanation:

because you have to think and just because the numbers are in order dont mean nun so the most answer that makes sense is C