Determine the standard form of the equation of the line that passes through (6, -9) and (-8, 6)

A. 15x+14y=-36
B. 14x+15y=-36
C. 15x+14y=36
D. 15x-14y=-36
Please select the best answer from the choices provided

Answer:

B

Step-by-step explanation:

Have a nice day

Answer:

B as well

Step-by-step explanation:

As you can work out the area of rectangle by l ×w

which is 18×36 =648

and you can also work out the area of a segment which is

[tex]\pi \times {r}^{2} \div 2[/tex]

so pi ×18^2÷2 and then add 648 you get 1156.9.

Answer:

d.)The experimental units are assigned randomly to exactly one control group and one or more treatment groups

Step-by-step explanation:

Completely randomized design can be regarded as a type of experimental design in which the experimental units are assigned randomly for different treatments. This experimental design is utilized in cases whereby experimental units are seen to be “uniform" this implies that no uncontrolled factor in the experiment. completely randomized designs are engaged in studying effects of one primary factor by ignoring other nuisance variables it perform comparison of values of a response variable taking into account of the different levels of that primary factor. It should be noted that in completely random design, the experimental units are assigned randomly to exactly one control group and one or more treatment groups

Answer:

13510 ft

Step-by-step explanation:

I have attached a triangle diagram to depict this situation.

From the diagram, we see that distance between A and B is denoted by x.

Now, from trigonometric ratios in this type of triangle, let's first find y.

6400/y = tan 36

y = 6400/tan 36

y = 8808.84 ft

Now, we can find x from;

6400/(8808.84 + x) = tan 16

6400/tan 16 = 8808.84 + x

22319.452 = 8808.84 + x

x = 22319.452 - 8808.84

x ≈ 13510 ft

The distance the plane traveled from point A to point B is 13510 ft

Here we assume the distance between A and B should be x.

Now the y value should be

[tex]6400\div y = tan 36\\\\y = 6400\div tan 36[/tex]

y = 8808.84 ft

Now, we can find x

[tex]6400\div (8808.84 + x) = tan\ 16\\\\6400\div tan\ 16 = 8808.84 + x[/tex]

22319.452 = 8808.84 + x

x = 22319.452 - 8808.84

x ≈ 13510 ft

Learn more about distance here: https://brainly.com/question/785292

Answer:

Step-by-step explanation:

Rhode Island Red chicks = 3.20 Dollars

Buckeye chicks = 3.44 Dollars

For every3 times as 3.44 Dollars, The farmer buys 4 times as 3.20 Dollars so simply Multiply until you reach 70 S0..

3.44 x 3

= 10.32

3.20 x 4

= 12.8

With 7 chicks, combine the prices of the chicks and multiply it by 10.

= 12.8 + 10.32

= 23.12

= 23.12 x 10

= 231.2

So 231.2 Dollars were spent for 70 chicks`in total.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

The total cost of farmers' chicks is $231.2

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x = 5 is an equation.

We have,

Total chicks = 70

4 Rhode Island Red chicks = 3 Buckeye chicks.

Multiply 10 on both sides.

40 Rhode Island Red chicks = 30 Buckeye chicks.

We see that,

40 + 30 = 70

Now,

Rhode Island Red chicks cost = $3.20

Buckeye chicks cost = $3.44

Now,

= 40 x 3.20 + 30 x 3.44

= 128 + 103.2

= $231.2

Thus,

The total cost of farmers' chicks is $231.2

Learn more about equations here:

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Answer:

b

Step-by-step explanation:

Answer:

-1+i

Step-by-step explanation:

(2+5i)+(-3-4i)

=(2-3)+i(5-4)

=-1+i

Answer:

[tex]−1+i[/tex]

Step-by-step explanation:

[tex](2+5i)+(−3−4i)[/tex]

[tex]2+5i−3−4i[/tex]

[tex]−1+5i−4i[/tex]

[tex]−1+i[/tex]

Answer:

[tex]( - 2,1)[/tex]

Step-by-step explanation:

Hope it is helpful...

answer: 116⁰

z⁰ for y⁰ because it's

equal

Answer:

ans: additive inverse is -5

multiplicative inverse is 1/5

Step-by-step explanation:

adding what value to 5 makes it 0 i.e

5 + (- 5)= 0 ( so additive inverse is -5)

multiplying what value to 5 makes it 1 i.e

5×( 1/5)=1 ( so multiplicative inverse is 1/5)

Answer:

7 lol

Step-by-step explanation:

self explanatory-

but you divide 1 by 7 you get 7

Answer:

X y better because it has X and Y is no no

Answer:

Step-by-step explanation:

Given,

Sides of a square is = 7 + 3x

Therefore,

Perimeter of a square = 4 × side

= 4 × (7 + 3x )

= 28 + 12x (Ans)

Answer:

A

Step-by-step explanation:

|4 − y| = 1

drop absolute value lines

create two problems

4 - y = 1

and

4 - y = -1

solve for y

Answer:

28

Step-by-step explanation:

28/2=14

28/4=7

28/7=4

28 is an even number

Step-by-step explanation:

28 is the answer

28 is a number between 20 and 30

and divisible by

28/2=14

28/4=7

28/7=4

Answer:

[tex]h^{-1}(x) = \frac{4}{3}x + \frac{23}{3}[/tex]

Step-by-step explanation:

Given

Graph h:

[tex](x_1,y_1) = (1,-5)[/tex]

[tex](x_2,y_2) = (9,1)[/tex]

Required

Plot [tex]h^{-1}(x)[/tex]

First, calculate h(x)

Calculate slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{1--5}{9-1}[/tex]

[tex]m = \frac{6}{8}[/tex]

[tex]m = \frac{3}{4}[/tex]

The equation is:

[tex]y = m(x - x_1) + y_1[/tex]

So, we have:

[tex]y = \frac{3}{4}(x - 1) -5[/tex]

[tex]y = \frac{3}{4}x - \frac{3}{4} -5[/tex]

[tex]y = \frac{3}{4}x + \frac{-3 - 20}{4}[/tex]

[tex]y = \frac{3}{4}x - \frac{23}{4}[/tex]

Next, calculate [tex]h^{-1}(x)[/tex]

Swap y and x

[tex]x = \frac{3}{4}y - \frac{23}{4}[/tex]

Solve for y

[tex]\frac{3}{4}y = x + \frac{23}{4}[/tex]

Multiply through by 4

[tex]3y = 4x + 23[/tex]

Divide through by 3

[tex]y = \frac{4}{3}x + \frac{23}{3}[/tex]

Replace y with [tex]h^{-1}(x)[/tex]

[tex]h^{-1}(x) = \frac{4}{3}x + \frac{23}{3}[/tex]

See attachment for graph

Answer: Approximately 1.0233 meters

Round this however you need to

====================================================

Work Shown:

Refer to the drawing below.

sin(angle) = opposite/hypotenuse

sin(17) = x/3.5

3.5*sin(17) = x

x = 3.5*sin(17)

x = 1.02330096652958

x = 1.0233

Be sure that your calculator is in degree mode.

(a) ft/s

(b) 1ft/s

Given equation;

y = (- 16x² + 50x + 3)ft       -------------(i)

Where;

y is measured in feet(ft)

x is measured in seconds(s).

(a) The rate of change of y with respect to x is found by dividing the total change in y by the total change in x. i.e

Δy / Δx

Where;

Δy = y₂ - y₁  

Δx = x₂ - x₁

∴ Δy / Δx = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]              --------------(ii)

Since y is measured in feet, Δy will also be measured in feet.

Also, since x is measured in seconds, Δx will also be measured in seconds.

Therefore, the rate of change of y with respect to x (Δy / Δx) will be measured in feet per second (ft/s)

(b) The rate of change of y between x  = 0 and x = 2 can be found by using equation (ii)

Where;

y₂ is the value of y at x = 2 found by substituting x = 2 into equation (i)

y₁ is the value of y at x = 0 found by substituting x = 0 into equation (i)

=> y₂ =  - 16(2)² + 50(2) + 3 = 39

=> y₁ =  - 16(1)² + 50(1) + 3 = 37

Now, substitute the values of y₂, y₁, x₂ and x₁  into equation (ii)

Δy / Δx = [tex]\frac{39 - 37}{2 - 0}[/tex]  

Δy / Δx = [tex]\frac{2}{2}[/tex]

Δy / Δx = 1

Therefore, the rate of change of y is 1 ft/s

Answer:

the answer is a.12

i think

Answer:

17.25

Step-by-step explanation:

Answer:

The car uses less gas

They use the same amount of gas after [tex]\frac{640}{7}[/tex] miles

Step-by-step explanation:

Given

The table represents the car mileage

[tex]y = -\frac{1}{5}x + 31[/tex] --- The van

First, calculate the car's slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

From the table, we have:

[tex](x_1,y_1) = (60,13.5);\ \ (x_2,y_2) = (180,10.5)[/tex]

So, we have:

[tex]m = \frac{10.5 - 13.5}{180 - 60}[/tex]

[tex]m = \frac{-3}{120}[/tex]

[tex]m = -\frac{1}{40}[/tex]

Calculate the equation using:

[tex]y = -\frac{1}{40}(x - 60)+13.5[/tex]

[tex]y = -\frac{1}{40}x + 1.5+13.5[/tex]

[tex]y = -\frac{1}{40}x + 15[/tex]

[tex]m = -\frac{1}{40}[/tex] implies that for every mile traveled, the car uses 1/40 gallon of gas

Also:

[tex]y = -\frac{1}{5}x + 31[/tex] --- The van

By comparison to: [tex]y = mx + b[/tex]

[tex]m = -\frac{1}{5}[/tex]

This implies that for every mile traveled, the van uses 1/5 gallon of gas.

By comparison:

[tex]1/40 < 1/5[/tex]

This means that the car uses less gas

Solving (b): Distance traveled for them to use the same amount of gas.

We have:

[tex]y = -\frac{1}{5}x + 31[/tex] --- The van

[tex]y = -\frac{1}{40}x + 15[/tex] --- The car

Equate both

[tex]-\frac{1}{5}x + 31 =-\frac{1}{40}x + 15[/tex]

Collect like terms

[tex]\frac{1}{40}x -\frac{1}{5}x =-31 + 15[/tex]

[tex]\frac{1}{40}x -\frac{1}{5}x =-16[/tex]

Take LCM

[tex]\frac{x - 8x}{40} = -16[/tex]

[tex]\frac{- 7x}{40} = -16[/tex]

Solve for -7x

[tex]-7x = -640[/tex]

Solve for x

[tex]x = \frac{640}{7}[/tex]

Answer:

hey um how many pounds of meat do we know that yet?

Answer:

49 hamburgers

(a) 120° or 133.33 grades.

(b)135° or 150 grades.

(c) 144° or 160 grades.

(d) 150° or 166.67 grades.

(e) 154.29° or 171.43 grades.

(f) 157.5° or 175 grades.

(g) 160° or 177.78 grades.

(h) 162° or 180 grades.

A regular polygon is a polygon that has all sides and all angles equal.

Each interior angle, k (measured in degrees), of a regular polygon is given by;

k = s ÷ n            -----------(k)

Where;

s = sum of the interior angle of the polygon.

n = number of sides of the polygon

To get s, we use

s = (n - 2) x 180         [This is the formula to calculate the sum of the interior angles of a polygon]

Substituting s this into equation (i) gives

k = (n - 2) x 180 ÷ n

k = 180(n - 2) ÷ n             -------------(ii)

(a) Triangle.

A triangle has n = 3 sides, therefore, each interior angle of a triangle is found by substituting n = 3 into equation (ii)

k = 180(3 - 1) ÷ 3

k = 180(2) ÷ 3

k = 180 x 2 ÷ 3

k = 360 ÷ 3

k = 120°

Convert to grade.

Remember that;

90° = 100 grades

∴ 120° = [tex]\frac{120 * 100}{90}[/tex] grades

⇒ 120° = 133.33 grades.

Therefore, each interior angles of a regular triangle is 120° or 133.33 grades.

(b) Quadrilateral.

A quadrilateral has n = 4 sides, therefore, each interior angle of a quadrilateral is found by substituting n = 4 into equation (ii)

k = 180(4 - 1) ÷ 4

k = 180(3) ÷ 4

k = 180 x 3 ÷ 4

k = 540 ÷ 4

k = 135°

Convert to grade.

Remember that;

90° = 100 grades

∴ 135° = [tex]\frac{135 * 100}{90}[/tex] grades

⇒ 135° = 150 grades.

Therefore, each interior angles of a regular quadrilateral is 135° or 150 grades.

(c) Pentagon

A pentagon has n = 5 sides, therefore, each interior angle of a pentagon is found by substituting n = 5 into equation (ii)

k = 180(5 - 1) ÷ 5

k = 180(4) ÷ 5

k = 180 x 4 ÷ 5

k = 720 ÷ 5

k = 144°

Convert to grade.

Remember that;

90° = 100 grades

∴ 144° = [tex]\frac{144 * 100}{90}[/tex] grades

⇒ 144° = 160 grades.

Therefore, each interior angles of a regular pentagon is 144° or 160 grades.

(d) Hexagon

A hexagon has n = 6 sides, therefore, each interior angle of a hexagon is found by substituting n = 6 into equation (ii)

k = 180(6 - 1) ÷ 6

k = 180(5) ÷ 6

k = 180 x 5 ÷ 6

k = 900 ÷ 6

k = 150°

Convert to grade.

Remember that;

90° = 100 grades

∴ 150° = [tex]\frac{150 * 100}{90}[/tex] grades

⇒ 150° = 166.67 grades.

Therefore, each interior angles of a regular hexagon is 150° or 166.67 grades.

(e) Heptagon

A heptagon has n = 7 sides, therefore, each interior angle of a heptagon is found by substituting n = 7 into equation (ii)

k = 180(7 - 1) ÷ 7

k = 180(6) ÷ 7

k = 180 x 6 ÷ 7

k = 1080 ÷ 7

k = 154.29°

Convert to grade.

Remember that;

90° = 100 grades

∴ 154.29° = [tex]\frac{154.29 * 100}{90}[/tex] grades

⇒ 154.29° = 171.43 grades.

Therefore, each interior angles of a regular heptagon is 154.29° or 171.43 grades.

(f) Octagon

An octagon has n = 8  sides, therefore, each interior angle of a octagon is found by substituting n = 8 into equation (ii)

k = 180(8 - 1) ÷ 8

k = 180(7) ÷ 8

k = 180 x 7 ÷ 8

k = 1260 ÷ 8

k = 157.5°

Convert to grade.

Remember that;

90° = 100 grades

∴ 157.5° = [tex]\frac{157.5 * 100}{90}[/tex] grades

⇒ 157.5° = 175 grades.

Therefore, each interior angles of a regular octagon is 157.5° or 175 grades.

(g) Nonagon

A nonagon has n = 9 sides, therefore, each interior angle of a nonagon is found by substituting n = 9 into equation (ii)

k = 180(9 - 1) ÷ 9

k = 180(8) ÷ 9

k = 180 x 8 ÷ 9

k = 1440 ÷ 9

k = 160°

Convert to grade.

Remember that;

90° = 100 grades

∴ 160° = [tex]\frac{160 * 100}{90}[/tex] grades

⇒ 160° = 177.78 grades.

Therefore, each interior angles of a regular nonagon is 160° or 177.78 grades.

(h) Decagon

A decagon has n = 10 sides, therefore, each interior angle of a decagon is found by substituting n = 10 into equation (ii)

k = 180(10 - 1) ÷ 10

k = 180(9) ÷ 10

k = 180 x 9 ÷ 10

k = 1620 ÷ 10

k = 162°

Convert to grade.

Remember that;

90° = 100 grades

∴ 162° = [tex]\frac{162 * 100}{90}[/tex] grades

⇒ 162° = 180 grades.

Therefore, each interior angles of a regular decagon is 162° or 180 grades.

Answer:

1. B

2. B

3. B

4. A

5. D

6. A

7. C

8. D

9. A

10. C

Answer:

x = 4.48

Step-by-step explanation:

read the picture

Answer:

The trace of the water left on the floor is 566 cm.

Step-by-step explanation:

The bicycle wheel has a circular shape, therefore;

1 revolution is the same as the circumference of the wheel. So that 3 revolutions is the same as multiplying the circumference of the wheel by 3.

circumference = 2[tex]\pi[/tex]r

where r is the radius of the wheel (r = 30 cm).

Thus,

circumference = 2 x [tex]\frac{22}{7}[/tex] x 30

                        = [tex]\frac{1320}{7}[/tex]

circumference = 188.57 cm

3 revolutions = 3 x 188.57

                      = 565.71 cm

Therefore, the trace of the water left on the floor is 566 cm.

Answer:

0.0181 probability of choosing a king and then, without replacement, a face card.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Probability of choosing a king:

There are four kings on a standard deck of 52 cards, so:

[tex]P(A) = \frac{4}{52} = \frac{1}{13}[/tex]

Probability of choosing a face card, considering the previous card was a king.

12 face cards out of 51. So

[tex]P(B|A) = \frac{12}{51}[/tex]

What is the probability of choosing a king and then, without replacement, a face card?

[tex]P(A \cap B) = P(A)P(B|A) = \frac{1}{13} \times \frac{12}{51} = \frac{1*12}{13*51} = 0.0181[/tex]

0.0181 probability of choosing a king and then, without replacement, a face card.

Answer:

After simplify answer will be :[tex]\frac{5p}{18}[/tex]

Step-by-step explanation:

Given data:

[tex]\frac{2p}{3} *\frac{5p}{12}[/tex]

Now,

[tex]\frac{10p}{36}[/tex]

Final answer would be :

[tex]\frac{10p}{36}=\frac{5p}{18}[/tex]

Answer:

0.52

Step-by-step explanation:

100% - 48% = 52%

[tex]\frac{52}{100}[/tex]

0.52

Answer:

1x= 28

y= v7vub8b9nf7v6v