Write an expression and then evaluate.

Answer:

A. an = -51+12(n-1)

Step-by-step explanation:

edge quiz

The solution is, the explicit rule for the arithmetic sequence is

a n = -51 + ( n - 1 ) · 12 .

An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.

The nth term of AP : a_n = a + (n – 1) × d

here, we have,

given that,

a 2 = -39

a 2 = a 1 + 12

- 39 = a 1 + 12

a 1 = - 39 - 12

a 1 = - 51 ( first term )

The common difference is : d = 12

The explicit rule for the arithmetic sequence:

a n = a1 + ( n - 1 ) d

a n = -51 + ( n - 1 ) · 12

Hence, The solution is, the explicit rule for the arithmetic sequence is

a n = -51 + ( n - 1 ) · 12 .

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We need to know about distance of a point from a line to solve the question. The distance of point (9,5) from the line 4x-3y=-4 is 5 units.

The distance between two points is calculated by taking square root of the sum of the squares of the difference between the coordinates of the two points. But for the distance between a point and a line we can't use this formula. To find the distance between a point and a line we take the shortest distance between them which is the perpendicular distance between the point and the line. The perpendicular distance is the length of the perpendicular dropped on the line from the point. Let the point (x_,y_) and the line be ax+by+c=0 then the formula for the distance between them is given by

[tex]d=\frac{|ax_+by_+c|}{\sqrt{a^{2} +b^{2} } }[/tex]

Here (x_,y_) is (9,5) and the line is 4x-3y=-4

The distance between the line and the point is :

[tex]d=\frac{|36-15+4|}{\sqrt{16+9} }=\frac{25}{5} =5[/tex]

Therefore we found out that the distance between the point (9,5) and the line 4x-3y=-4 is 5 units.

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Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

10x + 10 and 110 are vertical angles and are congruent, thus

10x + 10 = 110 → D

Subtract 10 from both sides

10x = 100 ( divide both sides by 10 )

x = 10

Answer:

k=27/11

Step-by-step explanation:

Answer:

i think it is 1

Step-by-step explanation:

Answer: 59.4

Step-by-step explanation:

We can solve this by using direct proportion where y = kx

y = number of games

x = number of home runs

k = constant of proportionality

Since y = kx

30 = 11k

k = 30/11

The home runs will he hit in a 162 game season will then be:

= 162 ÷ 30/11

= 162 × 11/30

= 59.4

Answer:  59.4

Step-by-step explanation:

Answer:

12.5 or 12 1/2

Step-by-step explanation:

Answer:

x= 12.5 or 12 1/2

Step-by-step explanation:

Answer:

ThThaThanThanks

Step-by-step explanation:

Answer:

YAY FREE FOR ALL *starts headbanging*

Step-by-step explanation:

lol have a blessed day

Answer:

[tex]\frac{5}{3}[/tex]

Step-by-step explanation:

Scale factor: [tex]\frac{5}{3}[/tex]

Answer:

Answer:

-9/65

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Complex plane most have avsolute value with small digits

The equation of the line that passes through (4,−1) and is parallel to the line y=3x+7 will be y = 3x - 13.

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given that line that passes through (4,−1) and is parallel to the line y = 3x+7. If the line is parallel then the slope will be equal to the parallel line.

m = 3

The equation of the line will be written as,

y = 3x + c

The y-intercept will be calculated as,

y = 3x + c

-1 = ( 3 x 4) + c

c = -13

The equation will be,

y = 3x - 13

Therefore, the equation of the line that passes through (4,−1) and is parallel to the line y=3x+7 will be y = 3x - 13.

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Answer:

The coordinates of point F would be: (x, y) = (8.2, 5.7)

Step-by-step explanation:

In other words, the location of a point P with the x-coordinate and the corresponding y-coordinate will be: P(x, y)

The location of point 'F' lies on the x = 8.2 (x-coordinate) and their corresponding value of y=5.7 (y-coordinate).

i.e at x = 8.2, y = 5.7

Thus, the coordinates of point F would be: (x, y) = (8.2, 5.7)

We need to know aut rational numbers to solve this problem. The correct answer is C, rational because it is a fraction.

Rational numbers are numbers that can be written as p/q where q is not equal to zero. In this question 34 over 3 can be written as a fraction, 34/3 where 3 is not equal to zero, so we can safely say that 34 over 3 is a rational number. Now for the reasoning part,

34/33= 11.333...

So we can see that the fraction 34/3 is a repeating decimal and not a terminating decimal. Repeating decimal is a decimal where the numbers after the decimal point keep repeating without an ending. Terminating decimal is a decimal in which the decimal terminates at one point. We can see that in this question 34/3 is not a terminating decimal.

Therefore we see that the best description for 34 over 3 is that it is a rational because it is a fraction.So option C is the correct answer.

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Your question was incomplete. Please refer below for the full content.

The question has 4 options that describe 34 over 3, which are:

A Irrational, because it is a fraction

B Irrational, because it is a repeating decimal

C Rational, because it is a fraction

D Rational, because it is a terminating decimal

Answer:

63

Step-by-step explanation:

why would you delete someones answer when theyre trying to help you lol

Answer: H

(

x

)

=

1.25

x

2

+

7

x

+

C

Step-by-step explanation:hope it helps!

Answer:

C. 23

Hope your grade raises

Step-by-step explanation:

c

Answer:

y = 7

Step-by-step explanation:

x = -16 is a vertical line.

All lines perpendicular to a vertical line are horizontal lines. All horizontal lines have a slope of 0

so m = 0,  y = 7, x = -2

y = mx + b

7 = 0(-2) + b

b = 7

so,

y = 0x + 7

y = 7

Answer:

for 2 you add all the numbers

for 3 you add all the numbers

for 4 you add all the numbers

Step-by-step explanation:

Answer:

The answer is B) -5

Step-by-step explanation:

It is -5 because if you take monday's temperature and subtract it by tuesday's temperature. You get -5

-2-3=-5

Answer:

24 minutes

Step-by-step explanation:

Answer:

I'm pretty sure its 24 minutes

Answer:

Yes, and if you need extra help try yay math

Step-by-step explanation:

Step-by-step explanation:

=| -9/10|+|7/4|

=9/10 +7/4

[tex] = \frac{9}{10} + \frac{7}{4} \\ = \frac{53}{20} \\ [/tex]

Option B is the answer

Answer:

I got sin E = 0.5

Thus answer choice C being the correct choice

Hope this helps ;)

Step-by-step explanation:

For given diagram, sin(E) = 0.5

"It is a line that passes through two lines in the same plane at two distinct points."

"These are the lines in the plane that are at equal distance from each other and never meet."

For given question,

AB is parallel to DE.

We can observe that, the line segment AE is transversal.

So, ∠DEF and ∠FAB are alternate interior angles.

We know, when a transversal intersects two parallel lines, then each pair of alternate interior angles is equal.

⇒ ∠FAB = ∠DEF

⇒ ∠A = ∠E

⇒ sin(A) = sin(E)

As, sin(A) = 0.5

⇒ sin(E) = 0.5

Therefore, sin(E) = 0.5

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Answer: 2x+12

Step-by-step explanation:

2(10)+2(x-4)

20+2x-8

12+2x

Answer: 2x + 12 i believe is the answer.

Answer: 90

Step-by-step explanation:

670183