Which ordered pair satisfies the system of equations below?

Answer:

-65a -21 "that is the simplified version"

Answer:

-65a - 21

Step-by-step explanation:

7 ( -9a - 3 ) -2a

Distribute, multiply every term in the parenthesis by the term right outside of the parenthesis,

7 ( -9a - 3 ) - 2a

-63a - 21 - 2a

Simplify

-65a - 21

Answer:

43

Step-by-step explanation:

Answer:

.39 cents

Step-by-step explanation:

1.56 divided by 4 is .39

Answer:

36 cents

Step-by-step explanation:

if you multiply 36 by 4 you'll get 1.56

Answer:

[tex]\displaystyle \sin(A-B)=\frac{495}{1073}[/tex]

Step-by-step explanation:

We are given that:

[tex]\displaystyle \tan(A)=\frac{35}{12}\text{ and } \sin(B)=\frac{20}{29}[/tex]

Where both A and B are positive acute angles.

And we want to find he value of sin(A-B).

Using the first ratio, we can conclude that the opposite side is 35 and the adjacent side is 12.

Then by the Pythagorean Theorem, the hypotenuse is:

[tex]h = \sqrt{35^2 + 12^2} =37[/tex]

Using the second ratio, we can likewise conclude that the opposite side is 20 and the hypotenuse is 29.

Then by the Pythagorean Theorem, the adjacent is:

[tex]a=\sqrt{29^2-20^2}=21[/tex]

Therefore, we can conclude that:

So, for A, the adjacent is 12, opposite is 35, and the hypotenuse is 37.

For B, the adjacent is 21, opposite is 20, and the hypotenuse is 29.

We can rewrite sin(A-B) as:

[tex]\sin(A-B)=\sin(A)\cos(B)-\cos(A)\sin(B)[/tex]

Using the above conclusions, this yields: (Note that since A and B are positive acute angles, all resulting ratios will be positive.)

[tex]\displaystyle \sin(A-B)=\Big(\frac{35}{37}\Big)\Big(\frac{21}{29}\Big)-\Big(\frac{12}{37}\Big)\Big(\frac{20}{29}\Big)[/tex]

Evaluate:

[tex]\displaystyle \sin(A-B)=\frac{735-240}{1073}=\frac{495}{1073}[/tex]

Answer:

7

Step-by-step explanation:

hhfndbdbdbueheheheheheheh

Answer:

The equation of a parallel line in the slope-Intercept form that contains the point (3,-2) is:

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

Given the equation of a line

y = 2x + 4

comparing with the slope-intercept form of the line equation

The slope of the line AB is m = 2

We know that the parallel lines have the same slope.

Thus, the slope of the new line is also 2.

now we have,

Using the point-slope form of the line equation

[tex]y-y_1=m\left(x-x_1\right)[/tex]

where m is the slope of the line and (x₁, y₁) is the point

substituting the values m = 2 and the point (x₁, y₁) =  (3, -2)

[tex]y-y_1=m\left(x-x_1\right)[/tex]

y - (-2) = 2(x - 3)

y + 2 = 2x - 6

subtracting 2 from both sides

y + 2 - 2 = 2x - 6 - 2

y = 2x- 8

Therefore, the equation of a parallel line in the slope-Intercept form that contains the point (3,-2) is:

Answer:

16

Step-by-step explanation:

6x+k = 0

x = -k/6

3x-11 = 0

x = 11/3

-k/6 + 11/3 = 1

k - 22 = -6

k = 16

The value of k is "8".

[tex](6x+k)(3x-11)=0\ \ is \ \ 1 \\\\K=?[/tex]

[tex]\to (6x+k)(3x-11)=0 \ \ is \ \ 1 \\\\\to (6x+k)=0\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ and \ \ \ \ \ \ \ \ \ \ \ \ \ \ (3x-11)=0\\\\\to 6x=-k\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ and \ \ \ \ \ \ \ \ \ \ \ \ \ \ 3x=11\\\\\to x=-\frac{k}{6}\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ and \ \ \ \ \ \ \ \ \ \ \ \ \ \ x=\frac{11}{3}\\\\[/tex]

[tex]\to - \frac{k}{6}+ \frac{11}{3}=1\\\\\to \frac{-2k+ 22}{6}=1\\\\\to -2k+ 22=6\\\\\to -2k =6-22\\\\\to -2k =-16\\\\\to k=\frac{16}{2}\\\\\to k=8[/tex]

Therefore, the final value of k is "8".

Learn more about the find k here:

brainly.com/question/20041760

Answer:

your question is quite different. I do not understand properly

Answer:

[tex]P(Tail = 1) = \frac{1}{2}[/tex]

Step-by-step explanation:

Given

[tex]Flips = 2[/tex]

Required

Probability of exactly one tail

This event can be represented as:

(Head and Tail) or (Tail and Head)

In the flip of a coin (penny), the following probabilities exist:

[tex]P(Head) = \frac{1}{2}[/tex]

[tex]P(Tail) = \frac{1}{2}[/tex]

So, the required probability is:

[tex]P(Tail = 1) = (P(Head) * P(Tail)) + (P(Tail) * P(Head))[/tex]

Substitute values for P(Head) and P(Tail)

[tex]P(Tail = 1) = (\frac{1}{2}*\frac{1}{2}) + (\frac{1}{2}*\frac{1}{2})[/tex]

[tex]P(Tail = 1) = (\frac{1}{4}) + (\frac{1}{4})[/tex]

[tex]P(Tail = 1) = \frac{1}{4} + \frac{1}{4}[/tex]

Take LCM

[tex]P(Tail = 1) = \frac{1+1}{4}[/tex]

[tex]P(Tail = 1) = \frac{2}{4}[/tex]

[tex]P(Tail = 1) = \frac{1}{2}[/tex]

Answer:

314.5

2252.5

250

Step-by-step explanation:

Answer:

300

Step-by-step explanation:

25 x 12

Answer:300

Step-by-step explanation: its just 25 x 12

Answer:

His sister sent 6 more messages than Diego.

Step-by-step explanation:

Ratio of Diego's messages to his sister's messages = 3 : 4

Text messages sent by Diego = 18

Text messages sent by his sister = x

Ratio = 18 : x

It is a proportional relationship,

3 : 4 :: 18 : x

Product of extremes = Product of means

3x = 18*4

3x = 72

[tex]\frac{3x}{3}=\frac{72}{3}\\x=24[/tex]

Difference = 24 - 18 = 6

Therefore,

His sister sent 6 more messages than Diego.

Answer:

I can answer Part B since I can't explain Part A in words.

Step-by-step explanation:

Angle 2 = 109 degrees (since it is a straight angle witch is 180 degrees. What you need to do is subtract the given with 180.)

Angle 3 = 81 degrees (I don't know how to explain this. Sorry.)

Angle 4 = 81 degrees (I also don't know how to explain this.)

Answer:

this is not a function

Step-by-step explanation:

Answer:

83%

Step-by-step explanation:

65/78=.83333333333333

0.833333333 turnes into 83% once rounded and multipyled by 100

Answer:

3/1*1/4

Step-by-step explanation:

when you multiply 3/1 by 1/4

Answer:

3\4

Step-by-step explanation:

Answer:

6

Explanation:

8 x 6 = 48

48 ÷ 6 = 8

Answer:

D.

Step-by-step explanation:

m<F = m<B - Corresponding Angles Theorem

m<B + m<A = 180 - Adjacent Angles Theorem

180 - 105 = m<A

75 = m<A; therefore, m<A = 75.

Answer:

D.

Step-by-step explanation:

Because F and C are consecutive angles, they add up to 180°. So 180-105=75. Angle C is 75, which makes B wrong. After finding that C is 75°, then you use the verticle angles theorem to show that angle A is 75°. Hope this helps you.

Answer:

200, 200

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Answer:

on the end of the graph (5,10)

Step-by-step explanation:

hope that

Answer:

b i think because for it to be imaginary, im sure there has to be an i in the equation

Answer:

A) Two Real Solutions

Step-by-step explanation:

Correct on Big Ideas Math :)

Answer:

T1(n) = 25n +119.50  where n belongs to [tex]1 \leq n <50[/tex].

T2(n) = 20n + 59 where n belongs to [tex]50\leq n[/tex].

Step-by-step explanation:

We are given two situations first is for normal days and the other is for days when 50 or more people are going to this restaurant for the party.

Let the number of person going for this restaurant be "n"

For normal day, we are given

catering service = $25 per person

service charge = $119.50  

Let the total cost of the restaurant be T

Cost for this case will be T1  

T1(n) = 25n +119.50  where n belongs to [tex]1 \leq n <50[/tex]

similarly for the case when 50 or more than that goes to this restaurant for party.

cost after discount

Catering service = $20.00 per person

service charge = $59.00

now the cost of this case will be T2

T2(n) = 20n + 59 where n belongs to [tex]50\leq n[/tex].

Therefore the two piecewise linear functions represents the total cost of the restaurant for serving n people.  

Answer:

x=1

Step-by-step explanation:

i did it

Answer:

80 degrees

Step-by-step explanation:

The total angle measure of a triangle, no matter the type, is always 180 degrees.

Using this, we can calculate the missing angle:

[tex]180=65+35+x[/tex]

[tex]x=180-(65+35)[/tex]

[tex]x=180-100[/tex]

[tex]x=80[/tex]

The measure of angle x in the triangle is 80 degrees.

The figure in the image is a triangle.

From the diagram:

Angle 1 = x

Angle 2 = 65 degrees

Angle 3 = 35 degrees

To solve for the measure of angle x, we use the fact the the sum of the interior angle of a triangle equals 180 degrees.

Hence:

Angle 1 + Angle 2 + Angle 3 = 180

Plug in the values:

x + 65 + 35 = 180

Collect and add like terms:

x + 100 = 180

Subtract 100 from both sides:

x + 100 - 100 = 180 - 100

x = 180 - 100

x = 80°

Therefore, angle x has a measure of 80 degrees.

Learn more about the interior angles in a triangle here: https://brainly.com/question/33265804

#SPJ2

Answer:

i think its 14. if not sorry

Step-by-step explanation:

again sorry if im wrong sorry

Answer:

5,326

Step-by-step explanation: