Solve 2(3x+6)=3(x-9) 2p-3=3p+2 2(3x-1)-7(5x+4)=9(2x-3)

Answer:

The expression of the ellipse is: [tex]\frac{x^2}{4} + y^2 = 1[/tex]

Step-by-step explanation:

The equation of a ellipse can be written by the following expression:

[tex]\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1[/tex]

Where 2a is the length of the major axis and 2b is the length of the minor axi. Since we were given the length of the minor vertex, then:

[tex]2b = 2\\b = 1[/tex]

The length of the major axis is the distance between the two vertices.

[tex]2a = \sqrt{[2 - (-2)]^2}\\2a = \sqrt{(2 + 2)^2}\\2a = \sqrt{4^2}\\2a = 4\\a = 2[/tex]

Therefore the expression of the ellipse is:

[tex]\frac{x^2}{2^2} + \frac{y^2}{1^2} = 1\\\\\frac{x^2}{4} + y^2 = 1[/tex]

Answer:

X+X

Step-by-step explanation:

did it on edg

Answer:

x° + x°

Step-by-step explanation:

Edge 2020

Answer:

Explained below.

Step-by-step explanation:

Consider the diagram of a regular octagon is inscribed inside a circle.

Suppose the perimeter if the octagon is 8a.

(a)

Compute the measure of a side of the octagon as follows:

[tex]\text{Perimeter}=8\times side\\\\8\times side=8a\\\\side=a[/tex]

Thus, the side of the octagon is a units.

(b)

The sum of all angles of around a point is 360°.

Consider the point P on the octagon.

The sum of all the angle surrounding P will be 360°.

There are a total of 8 angle surrounding the point P.

Then the measure of central angle is:

[tex]\text{Central Angle}=\frac{360^{o}}{8}=45^{o}[/tex]

Thus, the measure of central angle is 45°.

(c)

The line segment from the center of an octagon to the midpoint of a side, perpendicular to said side, is known as the apothem.

Consider the diagram.

In the diagram the line segment PC is an apothem, that is perpendicular to the AB.

The measure of segment AC = a/2 and the measure of segment PA is r (radius of the circle).

Compute he measure of PC as follows:

[tex]PA^{2}=PC^{2}+AC^{2}\\\\PC^{2}=PA^{2}-AC^{2}\\\\PC=\sqrt{PA^{2}-AC^{2}}[/tex]

      [tex]=\sqrt{r^{2}-\frac{a^{2}}{4}}[/tex]

Thus, the measure of the apothem of the octagon  is[tex]\sqrt{r^{2}-\frac{a^{2}}{4}}[/tex].

(d)

The area of an octagon is:

[tex]\text{Area}=2(1+\sqrt{2})a^{2}[/tex]

Answer: C

I just took the test

By observing the table it can be concluded that the value of A must be equal to 3x × (-x)

So, the value will be -3x^2

Answer:

B on EDG

Step-by-step explanation:

Answer: The middle value of a data set that is ordered from least to greatest is called the median. This value is a measure of center.

Step-by-step explanation:

There are three measures of the center: 1) Mean   2) Median  3) Mode

Mean : Average value of the data

Mode = The most repeated value.

Median is the middlemost value in a well-ordered data.

It measures the center of the data.

Hence, the completed statement would be:

The middle value of a data set that is ordered from least to greatest is called the median. This value is a measure of center.

Answer:

First ____ is median

Second ____ is center

Step-by-step explanation:

The median is the middle value of a set of numbers, and is found in the center.

Answer:

m∠6 = 90°

Step-by-step explanation:

∠1 and ∠2 are a linear pair.  This means they are supplementary, or their measures sum to 180°.  To find m∠2, we subtract m∠1 from 180:

180-140 = 40°

The measure of ∠2 is 40°.

The sum of the measures of the angles in a triangle is 180°.  We have ∠2 and ∠3; to find the measure of ∠6, we subtract these two from 180:

180-(40+50) = 180-90 = 90°

Answer:

-1+2-4+8-10+12-14+16-18+20

=

-47+68

= +21

hope youlike this

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keep rocking

Answer:

Yes

Step-by-step explanation:

Well to figure out if 210879 is divisible by 3 we do,

210879 / 3

= 70 293.

Thus,

210879 is divisible by 3.

Hope this helps :)

Answer: Yes

Explanation: To determine whether 210,879 is divisible by 3, first we need to find the sum of the digits.

Image is provided below.

The divisibility rules tell us that if the sum of the digits is divisible by 3,

then the number is also divisible by 3.

So since 27 is divisible by 3, 210,879 must also divisible by 3.

So our answer is yes, 210,879 is divisible by 3.

Answer:

[tex]d = \sqrt{85}[/tex] or d ≈ 9.22

Step-by-step explanation:

Distance formula:

[tex]d = \sqrt{(2 - (-4))^2 + (-3- 4)^2} \\d = \sqrt{36+ 49}\\d = \sqrt{85} \\[/tex]

Answer:

(i) False

(ii) Selecting a 5 or a spade are not independent.

Step-by-step explanation:

(i)

Independent events are those events that occur at the same time, i.e. the occurrence of one event does not effects the occurrence of the other.

If A and B are independent events then: [tex]P(A\cap B)=P(A)\times P(B)[/tex]

Whereas as if two events are mutually exclusive, then the probability of them both taking place at the same time is 0.

Then for events A and B: [tex]P(A\cap B)=0[/tex]

Thus, the statement is False.

(ii)

In a standard deck of 52 cards there are:

Spades = 13

Diamond = 13

Heart = 13

Clubs = 13

And each of these 13 cards are:

K, Q, J, 10, 9, 8, 7, 6, 5, 4, 3, 2, A

If a card labelled as 5 is selected then it could also be a Spade.

And if a spade is selected then the card could be labelled as 5.

So, selecting a 5 or a spade are not independent.

Answer:

35 degrees.

Step-by-step explanation:

m < TSK = 180 - 22 - 123

= 180 - 145

= 35.

Answer:

-\frac{7}{6}

Step-by-step explanation:

We can use the slope formula for the segment that joins any two points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex]:

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

which in our case gives:

[tex]slope=\frac{y_2-y_1}{x_2-x_1} = \frac{-2-5}{3-(-3)}=\frac{-7}{6} =-\frac{7}{6}[/tex]

Answer:

26 ≤ x ≤ 39 where x is # of hours

Step-by-step explanation:

If we call the number of hours she works x, Nicole will have made 9.50x after x hours. Therefore, we can write the following compound inequality:

245.60 ≤ 9.50x ≤ 368.40 (Note that we use ≤ instead of <; "at least/most" is denoted by ≤ or ≥)

Dividing the entire inequality by 9.50 (to get rid of the coefficient on x, we get about 26 ≤ x ≤ 39. We round up to the nearest integer because you can't really have, say, 25.69 hours in this context, you would have 26.

Answer:

7^11 / 4^11

Step-by-step explanation:

( 7/4) ^ 11

We know that ( a/b) ^c = a^c / b^c

7^11 / 4^11

Answer: B. [tex](\frac{7}{4})^{11} = \frac{7^{11}}{4^{11}}[/tex]

Step-by-step explanation:

There is exponent rule that states [tex](\frac{a}{b})^{x} = \frac{a^x}{b^x}[/tex]

So we can apply this rule to this problem.

[tex](\frac{7}{4})^{11} = \frac{7^{11}}{4^{11}}[/tex]

Answer:

the height of the prism =3cm

Step-by-step explanation:

From the question :there is 30 square centimeters, we can deduce this is the area due to the unit

the volume is 90 cubic centimeters

Volume of prism = Area of base × height

We are to determine the height

90cm³ = 30cm² × height

divide both sides by 30cm²

height = 90cm³/30cm²

height = 3cm

Therefore the height of the prism is 3centimeters

[tex]A = 1500(1.00167)^{12t}[/tex]

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

Explanation:

You could use the formula

[tex]A = P(1+\frac{r}{n})^{nt}[/tex]

to plug in P = 1500, r = 0.02 and n = 12 to get the answer above. This is the compound interest formula. The interest rate r is divided into n = 12 to account for monthly compounding. The original exponent t turns into 12t. So for instance, if t = 2 years go by, then 12*t = 12*2 = 24 months have gone by.

Answer:

57

Step-by-step explanation:

Subtract one player from the total number, because one has to block.

19

Multiply this by the number of goalies there are.

19*3=57

There will be 57 kicks.

Answer:

m<x = 60

Step-by-step explanation:

This triangle seems to be a 30-60-90 triangle, therefore m<x will be 60 degrees.

Answer:

1) The correct option is the third line

2) The correct option is the third line please see attached graph

Step-by-step explanation:

For the system of inequalities,

7·x > 21 or 6·x -9 < 21 we have;

7·x > 21

x > 21/3 = 3

x > 3

Also we have for 6·x -9 < 21 we have;

6·x -9 < 21

6·x < 21 + 9

6·x < 30

x < 30/6 = 5

x < 5

The representation of the region x > 3 and the region x < 5 on the number line consists of indicating points 3 and 5 with  circles not filled to represent less than < and not less than or equal to ≤ and shading the potion of the number line in between the two points

Which gives the correct option as the third line which has an open circle at point 3 and 5

b) To graph the inequality v + 4 > 2 and 8·v - 20 ≤ 36

For the inequality v + 4 > 2, we have;

v > 2 - 4

v > - 2

For the inequality 8·v - 20 ≤ 36, we have;

8·v - 20 ≤ 36

8·v  ≤ 36 + 20              

8·v  ≤ 56

v ≤ 56/8

v ≤  7

The region representing v > -2 or v ≤ 7 on the number line consists of indicating points -2 with a circle (not filled) to represent less than < and point 7 with a filled circle to represent less than or equal to ≤ and shading the potion of the number line in between the two points

Which gives the correct option is the third line which has a closed circle at point -2 and an open circle at point 7

Answer:

2.4 bags

Step-by-step explanation:

Uh you can keep your brains.

Using the data table, we get:

1, 2, 2, 3, 4 as our data.

Finding the mean:

(1+2+2+3+4)÷5=

12÷5=

2.4 bags

Answer:

x² = 10

x = ±√10 (Take the square root of both sides)

Answer:

C is the correct answer

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

have a good day

Answer:

           [tex]\bold{P(A) =\dfrac{11}{20}}[/tex]

Step-by-step explanation:

A - an occurrence that Steve encounters the green light

number of all counted ligths:    |Ω| = 20

number of counted green ligths:  |A| = 11

Probability that Steve encounters a green light on any given day:

[tex]P(A) = \dfrac{|A|}{|\Omega|}=\dfrac{11}{20}[/tex]

Answer:

346.38022

Step-by-step explanation:

Using Law of Sines, we know that v=50

[tex]\frac{34}{sin(36)}=\frac{x}{sin(24)}[/tex]

Area = ab·sin(C) /2

[34x50xsin(24)]/2

=346.38022

Answer:

i think he/she is right

Step-by-step explanation:

Answer:

y =2x

Step-by-step explanation:

Slope intercept form is

y= mx+b where m is the slope and b is the y intercept

y = 2x+0

y = 2x

Answer:

Step-by-step explanation:

e

v = 17 is your answer as an intergers or as a decimal rounded to the nearest tenth

Answer:

208 cm²

Step-by-step explanation:

First, you take the area of the whole rectangle, to do this you simply multiply 30 by 15, meaning that the big rectangle’s area is 450 cm².

Then, you take the area of the small rectangle (the unshaded one), to do this, you simply figure out the sides (they end up being 11 cm and 22 cm, you can find this out through subtracting) and to find the area of this rectangle, you multiply 11 by 22, which gives you 242 cm²

Now all that is left to do is to subtract the unshaded area by the whole rectangles area to find the shaded part! This will look like this: 450-242= 208 cm²

Answer:

Step-by-step explanation:

A radius to the tangent point always forms a right angle with the tangent:

m∠XWY = 90°

So:

  90° + 58° + x - 7° = 180°

    141° + x = 180°

        x = 39°

Answer:

Total consumer spending is 160

Step-by-step explanation:

Here , we are interested in calculating the total consumer spending.

In a long run perfect competition market, price interest with MC and minimum point of AC

Hence , P = AC

this means that Q = 40,000/P = 40,000/150 = 266.67 which is approximately 267 potatoes will be consumed

The total consumer spending is thus 267 * 0.6 = 160