Write the equation for the line in point-slope form that passes through the point (- 4, - 6) with a slope of 34

Answer:

d = 4

Step-by-step explanation:

Given f varies inversely as d² then the equation relating them is

f = [tex]\frac{k}{d^2}[/tex] ← k is the constant of variation

To find k use the condition when d = 2, f = 6 , then

6 = [tex]\frac{k}{2^2}[/tex] = [tex]\frac{k}{4}[/tex] ( multiply both sides by 4 )

24 = k

f = [tex]\frac{24}{d^2}[/tex] ← equation of variation

When f = 1.5 , then

1.5 = [tex]\frac{24}{d^2}[/tex] ( multiply both sides by d² )

1.5d² = 24 ( divide both sides by 1.5 )

d² = 16 ( take the square root of both sides )

d = [tex]\sqrt{16}[/tex] = 4

Answer:

i. The equation required = [tex]\frac{remaining amount of the bill}{remaining number of people}[/tex]

ii. Remaining people would pay $10 each.

Step-by-step explanation:

Total number of people involved = 6

Total bill of their lunch = $72

Mary and Josephine paid = $20 + $12

                              = $32

The remaining bill to be paid = $72 - $32

                              = $40

The rest of the group = 4

Splitting the remaining bill equally,

the equation required = [tex]\frac{remaining amount of the bill}{remaining number of people}[/tex]

                                     =  ($40) ÷ 4

                                     = $[tex]\frac{40}{4}[/tex]

                                    = $10

The amount that each of the remaining people would pay is $10.

Answer:

1. A

2. D

3. B

4. B

5-6. B

7. D

8. D

Answer:

x = 40

Step-by-step explanation:

a²+b²=c²

x²+9²=(x+1)²

x²+81=x²+2x+1

81=x²-x²+2x+1

81=2x+1

81-1=2x

80=2x

x=40

Answer:

sorry but the epuation is in,but I will try

Step-by-step explanation:

0 = -3×2+17x-10

0= -6+17x-10

0+6+10=17x

16=17x

x=17/16

9514 1404 393

Explanation:

For proofs of this nature, it often works well to replace everything possible with appropriate equivalents. Here, we'll use sin² to represent sin²(A), and equivalent notation for other trig functions.

We will change the left side to the form of the right side.

  [tex]\displaystyle \frac{\tan^2-\cot^2}{1+\cot^2}=\frac{\sin^2-\cos^2}{\cos^2}\\\\=\frac{(\sec^2-1)-(\csc^2-1)}{\csc^2}\\\\=(\sin^2)(\sec^2-\csc^2)\\\\=\frac{\sin^2}{\cos^2}-1=\frac{\sin^2-\cos^2}{\cos^2}\qquad\text{Q.E.D.}[/tex]

__

The equivalents (identities) used are ...

  1+tan² = sec²

  1+cot² = csc²

  1/csc = sin

  sec = 1/cos

/frac{10 }{ \sqrt{149} } = \frac{10}{12.20} = 0.8192

first of all find the square root of 149 and 10 is divided by 12.20which is the square root of 149 and you get your answer.The fraction form is 512/625

Answer:

Step-by-step explanation:

[tex]\sqrt{149}\text{ is irrational. Though it is customary to rationalize the denominator.}\\ \\ \left(\frac{10}{\sqrt{149}}\right)\frac{\sqrt{149}}{\sqrt{149}}\\ \\ \frac{10\sqrt{149}}{149}[/tex]

Answer:

0.62

Step-by-step explanation:

4.99/8=0.62

Answer:

Due to;

Sampling variability

Step-by-step explanation:

From the question, we have;

The percentage adults experts believe are convinced that it is more enjoyable to be married than single = 70%

The number of adults in the sample of the survey = 1,501 adults

The number of adults that responded that it is more enjoyable to be married than single = 1,126

According to the central limit theorem, the differences in the two samples and the small sizes of the samples compared to the population, the sample means is different from the population mean, therefore, the sample proportion that respond that it is more enjoyable to be married from the new sample will be different from the old sample due sampling variability because as the sample size is so small compared to the population, some samples can contain more of one category in the population than other samples leading to varying proportion

Answer:

12x + 64y

Step-by-step explanation:

This is the distributed property. You need to apply it according to this question

Answer:

20% increased

Step-by-step explanation:

Responder:

(14 + 5) - (6 x 2)

Explicación paso a paso:

Para la operación dada:

14 + 5-6 x 2

Siguiendo la prioridad de operación matemática BODMAS.

Multiplicamos antes de realizar la suma:

-6 * 2 = 12

Ahora;

14 + 5 - 12

19 - 12 = 7

Por tanto, comprobamos cuál de las opciones nos da 7

(14 + 5-6) x 2

13 * 2 = 26

(14 + 5) - (6 x 2)

19 - 12 = 7

Por lo tanto, esto (14 + 5) - (6 x 2) da el resultado correcto

Answer:

Cut them in smaller shapes then find area

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Horizontally and vertically wise

Answer:

x = -8

Step-by-step explanation:

Answer:

Domain {-2, 0, 1, 6}

Range {13, 5, 7, 77}

Step-by-step explanation:

table of values

Domain {-2, 0, 1, 6}

Range {13, 5, 7, 77}

Answer:

Step-by-step explanation:

[tex]y_{1}[/tex] = 2( - 2 )² + 5 = 2(4) + 5 = 13

[tex]y_{2}[/tex] = 2( 0 )² + 5 = 5

[tex]y_{3}[/tex] = 2( 1 )² + 5 = 7

[tex]y_{4}[/tex] = 2( 6 )² + 5 = 77

Range: { 5, 7, 13, 77 }

Answer:A unit rate is a comparison of two measurements, one of which has a value of ... The unit scale on a map may read \begin{align*}\frac{1}{2}\ inch=100 ... A line 4 inches long would represent an actual line of 800 feet. Unit scales and proportions can be used to calculate actual distances from maps, drawings, ...

Step-by-step explanation:

Answer:

I think the last one is the answer

Answer:

the answer should be A

Step-by-step explanation:

hope it helps, have a good day :)

Answer:

4/5 or 1 1/3

Step-by-step explanation:

4 over 5, or 1 and then 1 over 3

Answer:

3

Step-by-step explanation:

us the formula

y1 - y2 divided by x1 - x2

=gradient

6 - 3 divided by 5 - 4 = gradient

3 = gradient

hope this helps

please mark it brainliest

Answer:

B. Point M

Step-by-step explanation:

Point N (-4, 2) is 4 units away from the y axis, going left

Point M (-4, -2) is also 4 units away from the y axis, going left

Answer:

2

Step-by-step explanation:

Let the two consecutive integers be x , x+1

Sum : x + x +1 = 2x + 1

Difference: (x +1) - 1 = x + 1 - 1 = x

Sum = 3 times their difference

2x + 1 = 3 * x

2x + 1 = 3x    

      1 = 3x - 2x

     1 = x

The numbers are 1 , 2

Answer:

a(n) = 4*(2)^(n - 1)

Step-by-step explanation:

The correct version of this formula is a(n) = a(1)*r^(n - 1).  Must use the " ^ " symbol to indicate exponentiation, and enclose the "n - 1" inside parentheses.

Here, if 4, 8, 16, 32, ..., then a(1) = 4 and r = 2 (e. g., 16/8 = 2, 32/2 = 16, and so on).

Then the correct formula for this geometric sequence is

a(n) = 4*(2)^(n - 1), where use of the parentheses as indicated is mandatory.

Answer:

a(n) = 4*(2)^(n - 1)

Step-by-step explanation:

The correct version of this formula is a(n) = a(1)*r^(n - 1).  Must use the " ^ " symbol to indicate exponentiation, and enclose the "n - 1" inside parentheses.

Here, if 4, 8, 16, 32, ..., then a(1) = 4 and r = 2 (e. g., 16/8 = 2, 32/2 = 16, and so on).

Then the correct formula for this geometric sequence is

a(n) = 4*(2)^(n - 1), where use of the parentheses as indicated is mandatory.

Answer=53

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

Answer:

the answer would be 45 degrees

Step-by-step explanation:

this is because when you look at the rectangle all for interior angles ar e90 degrees each and the line cuts perfectly from one side to the other forming two right triangles. in a right triangle the two acute angles equal 45 degrees each.

Answer:

Step-by-step explanation:

The slope of the line passing through two given points:  [tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

(9, 12)   ⇒   x₁ = 9,  y₁ = 12

(7, 4)   ⇒     x₂ = 7,  y₂ = 4

So, the slope:

                     [tex]m=\dfrac{4-12}{7-9}=\dfrac{-8}{-2}=4[/tex]