Graph the system of equation on the grid below in the mark their point of intersections (point c )y = 3x + 3y = x + 5

There is a formula for the general term of an arithmetic sequence, and is given by

a_n = a_1 + (n - 1) x d

The question gives us the following information:

a_1 = 1

d = 10

Just plugging the information into the formula, you get the general term like this

a_n = 1 + (n - 1) x 10

a_n = 10n - 9

Now that we have the general term, we just substitute n = 20 to get our 20th coefficient.

a_20 = 10 x 20 - 9 = 191

Then you get both answers!

The general term is

a_n = 10n - 9

and the a_20 is

a_20 = 191

Given:

To find the equation that could be the other equation in this system:

Multiplying -2 on both sides, we get

So, the equation that could be the other equation in this system is,

To find which case is the better deal, we need to find the price per ounce of each bottle.

To do that, we just need to divide the price of the bottle by its weight.

For the first bottle, we have that:

For the second bottle, we have that:

The price per ounce of the first bottle is lower, so the first shampoo is a better deal.

Price per fluid ounce = $0.14

1 cup = 8 fluid-ounce

Price of a 4-cup container = $4.48

Price of a 1-cup container = $4.48/4

Price of a 1-cup container = $1.12

Price per fluid ounce = $1.12 / 8

Price per fluid ounce = $0.14

From the given circle,

X is the center of the circle

The arc intercepted by two radii is equal to the angle formed by the two radii a the center of the circle. This means that

arc SW = angle SXW

Thus, angle SXW = 72 degrees

Again,

angle SXW and angle UXV are vertically opposite angles. Verticall opposite angles are equal. This means that

angle SXW = angle UXV

angle UXV = 72 degrees

Also,

angle WXV and angle SXU are vertically opposite angles. This means that

angle WXV = angle SXU

Recall, the sum of the angles in a circle is 360 degrees. This means that

angle SXU + angle WXV + angle SXW + angle UXV = 360

Since angle WXV = angle SXU, then

angle SXU + angle SXU + 72 + 72 = 360

2angle SXU + 144 = 360

2angle SXU = 360 - 144 = 216

angle SXU = 216/2 = 108

Thus,

angle VXW = 108 degrees

Referring to the first theorem that we applied,

arc WV = 108 degrees

arc TU = 87 degrees

arc TVW = 87 + 72 + 108

arc TVW = 267 degrees

arc ST + arc TU = arc STU

By applying the first theorem,

arc STU = angle SXU

arc STU = 108

Thus,

arc ST + 87 = 108

arc ST = 108 - 87

arc ST = 21 degrees

Given:

Asked: At what range distances from the fire's center is the temperature less than 400 degrees Celsius?

Solution:

T(x) < 400 degrees Celsius

We will find x using the given by substituting T(x) < 400.

ANSWER: (29.2,infinity)

Find the slope of the line that passes through these two points. (-5,1) (-2,4)

m=(4-1)/(-2+5)

m=3/3

m=1

If the number k is greater than 3, we have the following inequality:

In order to evaluate k/3, let's divide the inequality by 3:

So the expression k/3 is greater than 1, therefore the correct option is D.

we have the functions

The vertex of function f(x) is the origin (0,0)

so

Find out the vertex of the function g(x)

Convert to vertex form

Complete the square

The vertex of the function g(x) is (-4,0)

therefore

The rule of the translation is given by

(x,y) -------> (x-4,y)

Hello!

To solve this exercise, let's think from right to left:

What operation between (-6) and (-8) results in 48?

When we do (-6) * (-8) we obtain 48, right?

As we are doing it in reverse, the opposite operation will be division, look:

48 ÷ (-8) = -6

Let's solve it in a similar way: what operation between (-5) and 8 results in 40?

(-5) * 8 = -40

So, (-40) divided by 8 = (-5)

This will be a bit different:

Notice that the difference between these numbers is the middle number. So, let's try another operation now:

12 - (-2) = 14

Attention here: the - sign will invert the value of what is inside the parentheses.

This is a addition, look:

18 + (-12) = 6

18 - 12 = 6

Here we have another addition between these numbers:

18 + (-20) = -2

18 - 20 = -2

Here, (-0.5) is the same as (-1/2).

When we multiply something by 1/2, the result is half.

So:

22 * (-0.5) = 11

In order to determine what is the Jackie's monthly salary, consider that one year has 12 months. Furthermore, consider Jackie's annual gross pay is $65,400.

You simply calculate the quotient between annul gros pay and 12 months, just as follow:

65,400/12 = 5,450

Hence, Jackie's monthly salary is $5,450

The polynomial is

Thus, we are left to factorize the quotient to obtain the remaining factors, let's do that

Thus, the polynomial in its simplest factorized form is;

Carmen Has completed 1/2 of her math homework.

Billy has completed 7/12 of the same assignment.

Let say

the whole assignment = x

Carmen has completed

Billy has completed

Therefore, the least is Carmen .

For the ellipse given, the center (2,2), focus (2,0), and vertex (2,5).​

The general form of the ellipse is

To determine the value of b,

Thus the equation of ellipse formed is

The correct option is B.

See explanation below

The terms in the expression are: 4y, 5 and 3y

The like terms: These are expression or constant that are alike

They are: 4y and 3y

The coefficient: These are the numbers before the variables (alphabets)

They are: 4 and 3

The constants: These are the numbers in the expression

It is : 5

ANSWER

EXPLANATION

The scale used for the drawing is 1 inch to 10 yards. This implies that 1 inch on the drawing is equal to 10 yards on the actual field.

Therefore, we can write the proportion:

where x represents the length of the field on the scale drawing.

Therefore, cross-multiplying and solving for x:

That is the length of the football field in the scale drawing.

a) If a transversal intersects two parallel lines, then the alternate angles formed are congruent ===> This is correct.

The alternate exterior and interior angles formed are congruent if a transversal intersects two parallel lines

b) If a transversal intersects two parallel lines, then the corresponding angles formed are congruent. ===> This is also correct.

Corresponding angles formed are congruent if a transversal intersects 2 parallel lines

c) The vertical angles are always congruent. ===> This is also correct.

Therefore all of them are correct.

ANSWER:

d. All of these

It is known that there are 12 year old cicadas and predators have 2 year cycles.

It is said to find how often would the 12 year old cicadas face their predators.

So if the predators emerge in odd years, then they will emerge in year 1,3,5,7,9,11,13,15 and so on.

Hence the 12 year cicadas will never meet the predators if the predators emerge in odd years.

If the predators emerge every even year like years 2,4,6,8,12,...24,...36 and so on then as it is known that the 12 year cicadas will emerge every 12 years so they will emerge in the year 12,24,36 and so on.

So if the predators emerge in even years then the cicadas will encounter the predators every time.

We must solve the following equation for x:

We can start by substracting 3 from both sides of the equation:

Then we can multiply both sides by x:

Then we can divide both sides by -7:

Then the answer is -8.

As the sample standard deviation increases, the confidence interval will also increases or it will be wider because the confidence interval is directly proportional to the standard deviation.

The correct answer is Wider

we have the expression

Factor x^4

so

hello

we have a function given here and we can simply solve for f(-5) in the function

We have 6.75 yards, so first we will convert it into feet, applying a rule of three we have:

Now, we will convert it to inches:

So the answer is that 6.75 yards are 243 inches.

Given that

The area of the triangular pennant is 640 sq cm and the height is 32 cm.

So we have to find the base of the pennant.

Explanation -

The formula for the area of the triangle is

By substituting the values we have

So the base is 40 cm.

Hence the correct option is D.

A figure will be mapped into itself after a reflection if the midpoint of the figure is along x = 1.

From the given figure, the midpoints of figures a and b are along with x = 1. So when, being reflected across the line of x = 1, it will only be mapped to itself, it won't duplicate.

Therefore, the answer is a and b.

To answer the questions of the problem we have to write the ellipse in standard form, to do this we have to complete squares in each variable. Let's do this:

Now that we have the ellipse written in this form we can start to answer the questions.

1. The ellipse is an horizontal ellipse. This follows from the fact that the denominator in the x variable is greater than the one in the y variable.

To find the vertex and the focus we first need to find some other information of the ellipse. We have to compare our ellipse with the formula:

Then we conclude that the cencter of our ellipse is the point (2,-4) and that

a=6 and b=2.

We know that the vertex are a distance a of the center of the ellipse. Since this a horizontal ellipse we have to add ans substract the length a to the x component of the center. With that in mind

2. The coordinates of the left vertex are (-4,-4)

3. The coordinates of the right vertex are (8,-4)

To find the focus we need to find the length c defined as:

Then,

With this length we can find the focus, the same way we found the vertex but using the length c instead of a.

4. The left focus has coordinates (-3.66,-4)

5. The right focus has coordinates (7.66,-4)

6. Finally the eccentricity is

All of this can be seen in the graph of the ellipse:

Hello!

First, let's try to solve the following system:

Let's solve it:

• In equation A, we will ,isolate the variable x,:

• Now, let's ,replace where's x ,in equation B ,by the value above,:

Notice that the variable y disappeared. So, we can say that this is a system with infinitely many solutions.

The solution set is:

Circumference: 18π cm

Area: 81π cm²

1) Since the radius is 9 cm then we can write for the Circumference the following:

2) The area is found using another formula:

3) Hence, the answers are:

Circumference: 18π cm

Area: 81π cm²

Solution:

Given:

From the sketch of the flight description, using the sine rule,

Therefore, she has to fly approximately 383.4m further until she lands.

SOUTION:

Case: SIgnificance tet.

Method: