Which of the following is most likely the next step in the series?
А.
B.
C.
D.

Answer:

[tex]JL=54[/tex]

Step-by-step explanation:

We are given that K is the midpoint of JL. Using this information, we want to find JL.

By the definition of midpoint, this means that:

[tex]JK=KL[/tex]

Substitute them for their equations:

[tex]8x+11=14x-1[/tex]

Solve for x. Subtract 8x from both sides:

[tex]11=6x-1[/tex]

Add 1 to both sides:

[tex]6x=12[/tex]

And divide both sides by 6. Hence:

[tex]x=2[/tex]

JL is the sum of JK and KL. Hence:

[tex]JK+KL=JL[/tex]

Since JK = KL, substitute either one for the other:

[tex]JK+(JK)=2JK=JL[/tex]

Substitute JK for its equation:

[tex]2(8x+11)=JL[/tex]

Since we know that x = 2:

[tex]2(8(2)+11)=2(16+11)=2(27)=54=JL[/tex]

Thus:

[tex]JL=54[/tex]

Hey there!

4(3 - 1)^2

3 - 1 = 2

= 4(2^2)

2^2

= 2 * 2

= 4

4(4)

= 16

Answer: 16

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

4(3-1)^2= 16

Step-by-step explanation:

4(3-1)^2

=4×(2)^2

=4×4

=16 ........

HOPE THIS HELPS YOU....

Answer:

Step-by-step explanation:

C-10,20,-40,80,...[tex] u_{n+1}=(-2)*u_{n}[/tex]. is geometric1

Answer:

The quotient is the answer to a division.

One of the properties of 0, is that 0 divided by any number is 0.

The exception is

0/0

which is undefined.

(the fact that 0 is being divided by a negative number makes no difference. There is no just thing as +0 or -0.)

Step-by-step explanation:

Answer:

You can choose between 10 different choices.

Step-by-step explanation:

Given that a lunch menu consists of 2 types of tortillas and 5 different fillings, to determine how many choices are there for ordering a burrito with one filling, the following calculation must be performed:

2 x 5 = X

10 = X

Therefore, you can choose between 10 different choices.

Answer: f(3)=-7

Step-by-step explanation:

To evaluate f(3), we want to plug in x=3 into f(x)=-4x+5.

f(3)=-4(3)+5       [multiply]

f(3)=-12+5          [add]

f(3)=-7

Now, we know that f(3)=-7.

Answer:

B -1/3

Step-by-step explanation:

The value of x that makes this equation true is x = -2

We have the equation:

-12x - 2(x + 9) = 5(x + 4)

To solve it, we need to isolate x on one side of the equation:

-12x - 2x - 18 = 5x + 20

-12x - 2x - 5x = 20 + 18

-19x = 38

x = 38/-19 = -2

The value of x that makes this equation true is x = -2

If you want to learn more about equations:

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Answer:

24 meters

Step-by-step explanation:

Use the pythagorean theorem

18² + x² = (x + 6)²

Expand

324 + x² = x² + 12x + 36

Subtract x² from both sides

324 = 12x + 36

Subtract 36 from both sides

288 = 12x

Divide both sides by 12

24 = x

24 meters

Answer:

[tex]22^{\circ}[/tex]

Step-by-step explanation:

Line [tex]\overline{PM}[/tex] is a diameter of the circle because it passes through the circle's center O. Therefore, arc [tex]\widehat{PLM}[/tex] must be 180 degrees, as these are 360 degree in a circle.

We can then find the measure of arc [tex]\widehat{LM}[/tex]:

[tex]\widehat{LP}+\widehat{LM}=180^{\circ},\\92^{\circ}+\widehat{LM}=180^{\circ},\\\widehat{LM}=88^{\circ}[/tex]

Arc [tex]\widehat{LM}[/tex] is formed by angle [tex]\angle LPM[/tex]. Define an inscribed angle by an angle with a point on the circle creating an arc on the circumference of the circle. The measure of an inscribed angle is exactly half of the measure of the arc it forms.

Therefore, the measure of [tex]\angle LPM[/tex] must be:

[tex]m\angle LPM=\frac{88}{2}=44^{\circ}[/tex]

Similarly, the measure of [tex]\angle LNP[/tex] must be:

[tex]m\angle LNP=\frac{92}{2}=46^{\circ}[/tex]

Angles [tex]\angle LPM[/tex] and [tex]\angle MPN[/tex] form angle [tex]\angle LPN[/tex], which is one of the three angles in [tex]\triangle LPN[/tex]. Since the sum of the interior angles of a triangle add up to 180 degrees, we have:

[tex](\angle MPN+\angle LPM)+\angl+ PLN+\angle LNP=180^{\circ},\\\angle MPN+44+46+68=180,\\\angle MPN=180-44-46-68,\\\angle MPN=\boxed{22^{\circ}}[/tex]

Answer:

[tex]a = 45 \times 5 \\ a = 90 \degree[/tex]

Answer:

B. 90

Step-by-step explanation:

The 45° angle is an inscribed angle that subtends arc a.

An inscribed and measures half the measure of its subtended arc.

45° = (1/2) * a°

a = 2 * 45

a = 90

Answer:

D.  I or II only

Step-by-step explanation:

By a small online search, I've found that the equation is:

6x + 7 = 3x - 5

And the options are:

I. Combining the 6x and 3x terms

II. Combining the 7 and 5

III. Dividing both sides of the equation  by 6

A.  I only

B.  II only

C.  III only

D.  I or II only

E.   I or II or III

So, let's solve the equation in such a way that we can prevent the use of fractions:

6x + 7 = 3x - 5

We can use I and II, combining one in each side, so we get (so we use I and II at the same time)

6x - 3x = -5 - 7

solving these, we get:

(6 - 3)*x = -12

3*x = -12

and -12 is divisible by 3, so if we divide in both sides by 3, we get:

x = -12/3 = -4

x = -4

So we avoided working with fractions, and we used I and II.

Then the first step could be either I or II (the order does not matter)

Then the correct option is:

D.  I or II only

Answer:

trinomial = 5x

GCF = 2x(x + 5) + 5(x + 5)

Step-by-step explanation:

2x^2 + 15x + 25

using middle term break method

2x^2 + (10 + 5)x + 25

2x^2 + 10x + 5x + 25

therefore trinomial = 2x^2 + 10x + 5x + 25

GCF(Greatest Common Factor) = 2x^2 + 10x + 5x + 25

=2x(x + 5) + 5(x + 5)

take (x + 5 ) as common

(x + 5)(2x + 5)

(x + 5)(5 + 2x)since the sign of 5 and 2x is same i.e plus sign u can change their place.

Hello,

[tex]sin(45^o)=\dfrac{\sqrt{2} }{2} \\\\sin(45^o)=\dfrac{a}{c} \\\\\dfrac{\sqrt{2} }{2}=\dfrac{a}{6} \\\\a=6*\dfrac{\sqrt{2} }{2}=3\sqrt{2}\\[/tex]

Answer A

Answer:

A

Step-by-step explanation:

6/3 = 2

Answer:

$2 each

Step-by-step explanation:

3 pounds of apples for $6

$6÷3 lbs= $2 each pound

Answer:

d

Step-by-step explanation:

o

Step-by-step explanation:

There's on;ly one way I know of that this can be done.You must start at a1 and work your way up to a5

a1 = -3n that's given

a2 =

Answer:

3(y+6)=30

3y + 18 = 30

18 - 30 = 3y

12 = 3y

12/3 = y

4 = y

or

y = 4

Answer:

D

Step-by-step explanation:

5(x-5)=353 + x

the first 5 is all his tests, in the parenthesis x is the average score, and -5 is the 5 points lower mentioned in the problem.

Answer:

B

Step-by-step explanation:

We are given that Markus scored 85, 92, 82, and 94 on his first four tests and x on his fifth.

We know that his score on the fifth test is five points lower than the average of all five tests.

To find the average, we add up all the values and divide by the number of values there are. Therefore, the average of all five tests is:

[tex]\displaystyle \frac{85+92+82+94+x}{5}[/tex]

Simplify:

[tex]\displaystyle =\frac{353+x}{5}[/tex]

His test score x is five points lower than the average. Hence:

[tex]\displaystyle x=\left(\frac{353+x}{5}\right)-5[/tex]

Rewrite. We can add five to both sides:

[tex]\displaystyle x+5=\frac{353+x}{5}[/tex]

And multiply both sides by five. Hence:

[tex]\displaystyle 5(x+5)=353+x[/tex]

Thus, our answer is B.

Notes:

By solving the equation, we see that x = 82. So, Markus scored 82 points on his fifth test.

If that is true, then his average score of all fives tests will be:

[tex]\displaystyle \frac{85+92+82+94+82}{5}=87[/tex]

82 is indeed five points fewer than 87, so our answer is correct and matches the given information.

Answer:

the distance is 16

Step-by-step explanation:

Hi there!

We are given point A (-4,-13) and point B (-4,3). We need to find the distance between those two points

the distance formula is given as [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}[/tex] where ([tex]x_{1}[/tex],[tex]y_{1}[/tex]) and ([tex]x_{2}[/tex], [tex]y_{2}[/tex]) are points

we are given 2 points, which is what we need for the formula. However, let's label the values of the points to avoid any confusion

[tex]x_{1}[/tex]=-4

[tex]y_{1}[/tex]=-13

[tex]x_{2}[/tex]=-4

[tex]y_{2}[/tex]=3

now substitute those values into the formula. Remember: the formula uses SUBTRACTION.

[tex]\sqrt{(-4--4)^2+(3--13)^2}[/tex]

simplify

[tex]\sqrt{(-4+4)^2+(3+13)^2}[/tex]

now add the values inside the parenthesis that are under the radical

[tex]\sqrt{(0)^2+(16)^2}[/tex]

raise everything under the radical to the second power

[tex]\sqrt{0+256}[/tex]

add under the radical

[tex]\sqrt{256}[/tex]

now take the square root of 256

[tex]\sqrt{256}[/tex]=16

so the distance between point A and point B is 16

Hope this helps! :)

Answer:

A

Step-by-step explanation:

Using the cosine ratio in the right triangle and the exact value

cos45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then

cos45° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{s}{4\sqrt{2} }[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )

s × [tex]\sqrt{2}[/tex] = 4[tex]\sqrt{2}[/tex] ( divide both sides by [tex]\sqrt{2}[/tex] )

s = 4 → A

Answer:

y = (4x - 71)/8

Step-by-step explanation:

2(x - 2)2 = 8(7 + y) solve for y instead of x for the inverse equation

4x - 8 = 63 + 8y

4x - 8 - 63 = 8y

4x - 71 = 8y

y = (4x - 71)/8

Answer:

A

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Given the graph of f(x) then the graph of f(x + a) is a horizontal translation of f(x)

• If a > 0 then a shift to the left of a units

• If a < 0 then a shift to the right of a units

Here the graph has been shifted 2 units to the right , then

f(x) = (x - 2)²

Given the graph of f(x) then f(x) + c is a vertical translation of f(x)

• If c > 0 then a shift up of c units

• If c < 0 then a shift down of c units

Here the graph has ben shifted 4 units up

Thus

f(x) = (x - 2)² + 4 → C

Answer:

C

Step-by-step explanation:

First isolate x So the equation would look like

x^2=y+11

then square root the whole thing to get

x= plus or minus the square root of y-11

u={1,2,3,4,5},A={2,4} and Beta {2,5,5}

now, (AUB)={1,3,3,4,5}

[AUB is the set of all elements of set A and set B without any repetition ]

n(AUB)=5

n(AUB)is the total no of elements in set (AUB)

Answer:

-32 shall be multiplied to get the answer.

Step-by-step explanation:

DON'T MIND MY WRITING!!

Answer:

Why your question is not visible

Your photo is black screen

Step-by-step explanation:

Please Mark me brainliest

Answer:

Rise= y-axis

Run=x-axis

Slope=rate of change

Step-by-step explanation:

Think of run as you are running on the ground. The x-axis is positioned to look like you would be able to run on a flat horizontal line. When it is referring to run, it means the y-axis because when you run you go up in a way, just like the y-axis. Rise and Run is a phrase used to represent slope because it is indicating that to calculate slope, you take your "y" value over your "x" value as in a fraction. For example [tex]\frac{y}{x}[/tex]. Slope is just how fast a certain unit is changing at a consistent "speed".

Answer:

x = 110

Step-by-step explanation:

comment if you want explanation

Answer:

Step-by-step explanation:

Answer:

x = 10

Step-by-step explanation:

Mathematically, the sum of the interior angles of a triangle is 180

Thus, we have it that;

55 + 45 + (5x + 30) = 180

100 + 5x + 30 = 180

5x = 180-30-100

5x = 50

x = 50/5

x = 10

Answer:

Step-by-step explanation:

On the day of the canteen, 800 coupons were sold, the price of each coupon was RM 30 and RM 50 respectively. The amount of money earned from the sale of coupons was RM30000. How many copies of RM30 and RM50 coupons were sold?

Let:

RM 30 = x

RM 50 = y

x + y = 800 - - - (1)

30x + 50y = 30000 - - - (2)

From (1)

x = 800 - y

Put x = 800 - y in (2)

30(800 - y) + 50y = 30000

24000 - 30y + 50y = 30000

24000 + 20y = 30000

20y = 30000 - 24000

20y = 6000

y =