Here are the first terms of an arithmetic sequence
5,12,19,26
Write down an expression in terms of n for the nth term of the sequence

The slope of the line perpendicular to the line whose equation is 6x + 4y = - 56 is 2/3.

Two lines with slopes m₁ and m₂ are parallel when m₁ = m₂ and perpendicular when m₁*m₂ = -1.

In the question, we are asked for the slope of the line perpendicular to the line whose equation is 6x + 4y = - 56.

Representing the given equation is the slope-intercept form y = mx + b, we get:

6x + 4y = - 56,

or, 4y = - 6x - 56,

or, y = (-6/4)x + (-56/4),

or, y = (-3/2)x + (-14),

we get the slope, m is (-3/2), and the y-intercept, b is (-14).

Assuming the slope of the required line to be m₁, we know that m₁*m  = -1, as the two lines are perpendicular to each other.

Thus, m₁*(-3/2) = -1,

or, m₁ = 2/3.

Thus, the slope of the line perpendicular to the line whose equation is 6x + 4y = - 56 is 2/3.

Learn more about perpendicular lines at

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Answer:

K(x,y) →K'(-x, y-7)     (B)

Step-by-step explanation:

You missed a small portion of the question in the end. If I am not mistaken, I am able to find the complete question which you should have added. Anyways, this would help you clear your concept as I would explain the context.

Here is the complete question:

Tanya is printing a report. There are 92 sheets of paper in the printer, and the number of sheets of paper p left after t minutes of printing is given by the function p(t) = -8t + 92.

How many minutes would it take the printer to use all 92 sheets of paper?

Answer:

It would take 11.5 minutes for the printer to use all 92 sheets of paper

Step-by-step explanation:

Given:

To determine:

How many minutes would it take the printer to use all 92 sheets of paper?

Given the function

[tex]p(t) = -8t + 92[/tex]

We know that when all the 92 sheets of paper will be printed, there will be no more sheets left to be printed.

Therefore, we need to substitute p(t) = 0 in the given function to determine the value of time in minutes

[tex]0 = -8t + 92[/tex]

[tex]8t = 92[/tex]

Divide both sides by 8

[tex]\frac{8t}{8}=\frac{92}{8}[/tex]

[tex]t=\frac{23}{2}[/tex]

[tex]t = 11.5[/tex] minutes

Answer:

dogs and birds..........

Answer:

B

Step-by-step explanation:

Answer:

I think its B

Step-by-step explanation:

put me as brainliest

Step-by-step explanation:

xtan45° = (x+600)tan30°

x(tan45°-tan30°) = 600tan30°

x = 819.62m.

Therefore h = xtan45° = x = 819.62m.

Answer:

Step-by-step explanation:

You have to divide 100 by 62.50= m answer

Answer: x=-1

Step-by-step explanation: hope this helps!

Answer:

[tex]y^{\frac{2}{5}}[/tex]

Step-by-step explanation:

[tex]2 - \frac{4}{5} = \frac{2*5}{1*5}-\frac{4}{5}\\\\ = \frac{10}{5}-\frac{4}{5}\\\\= \frac{6}{5}[/tex]

[tex]\frac{a^{m}}{a^{n}}=a^{m-n}\\\\[/tex]

[tex]\sqrt[3]{\frac{y^{2}}{y^{\frac{4}{5}}}} =\sqrt[3]{y^({2-\frac{4}{5})}} \\\\=\sqrt[3]{y^{\frac{6}{5}}}\\\\=(y^{\frac{6}{5}})^{\frac{1}{3}} \\\\=y^{\frac{6}{5}*\frac{1}{3}}\\\\= y^{\frac{2}{5}}[/tex]

Answer:

b = 13.8

A = 45°

C = 35°

Step-by-step explanation:

Given:

m<B = 100°

a = 10

c = 8

Required:

b, m<C, and m<A

✔️Find b using Cosine Rule:

b² = a² + c² - 2*ac*Cos(B)

Plug in the values

b² = 10² + 8² - 2*10*8*Cos(100)

b² = 164 - (-27.7837085)

b² = 191.783709

Take the square root of both sides

b = 13.8 (nearest tenth)

✔️Find m<C using Sine rule:

[tex] \frac{Sin(C)}{c} = \frac{Sin(B)}{b} [/tex]

Plug in the values

[tex] \frac{Sin(C)}{8} = \frac{Sin(100)}{13.8} [/tex]

Multiply both sides by 8

[tex] \frac{Sin(C)}{8} \times 8 = \frac{Sin(100)}{13.8} \times 8 [/tex]

[tex] Sin(C) = \frac{Sin(100) \times 8}{13.8} [/tex]

[tex] Sin(C) = 0.5709 [/tex]

[tex] C = Sin^{-1}(0.5709) [/tex]

[tex] C = 35 [/tex] (nearest degree)

m<C = 35°

✔️m<A = 180 - (100 + 35) (sum of triangle)

m<A = 180 - 135

m<A = 45°

Answer:

.50

Step-by-step explanation:

that's it in a decimal form

Answer:

0.02

Step-by-step explanation:

Answer:

3rd

Step-by-step explanation:

Answer:

Exponential decay, 7% decrease

Step-by-step explanation:

Answer:

Step-by-step explanation:

8 4/5 divided by 4= 2.2

Answer:

1

Step-by-step explanation:

slope m=y2-y1/X2-x1

=6-2/9-5

=4/4= 1

Answer:

y= -3x-16

Step-by-step explanation:

slope intercept form is written as y=mx+b.  m is the slope, and b is the y-intercept.  -3=m

we know that (-5,-1) is 5 points away from the origin, and that the slope is -3, so 5 times -3 equals -15.  subtract 15 from -1 (y-coordinate) in order to get the y-intercept (when x=0).  

Answer

b

step-by-step explanation:

Answer:

a 82.50

Step-by-step explana

82.50

30.00

pluse taxt =3.00

52.50.50

30.00

82 . 50

Answer:

4.000

Step-by-step explanation:

Answer:

1km

Step-by-step explanation:

because ur mom gay

Answer:

4÷5679= 0.000704349357

but i think u want

5679÷ 4 = 1,419.75

Answer:

0.0007(approximately)

Step-by-step explanation:

Answer:

B=310 because..well just do the math.

Step-by-step explanation:

Answer:

y=x-3

Step-by-step explanation:

The slope goes up by 1 and the y intercept is -3

Answer:

16

Step-by-step explanation:

If you add the 26 and 48 you get 74 and then you subtract 74 from 90 since your total needs to be 90 and get your answer of 16

Answer:Its D

Step-by-step explanation:

Answer:

The new width = 2 inches

Step-by-step explanation:

Original dimensions of the rectangular photo:

Length : width = 8 inches : 4 inches

Reduced dimensions of the rectangular photo:

Let

x = the new width

Length : width = 4 inches : x inches

Equate both dimensions to get the value of x

Length : width

8 inches : 4 inches = 4 inches : x inches

8 / 4 = 4 / x

Cross product

8 * x = 4 * 4

8x = 16

x = 16/8

x = 2 inches

The new width = 2 inches