Find the area of the shaded region in the polygon below.

Answer:

Here is your answer in the picture..

Answer:

x = 5

Step-by-step explanation:

Given

9x + 2 = 5x + 22 ( subtract 5x from both sides )

4x + 2 = 22 ( subtract 2 from both sides )

4x = 20 ( divide both sides by 4 )

x = 5

[tex]3x^2-10x=-2\\3x^2-10x+2=0\\\\\Delta=(-10)^2-4\cdot3\cdot2=100-24=76[/tex]

Answer:

The discriminate is 76

Step-by-step explanation:

* Lets explain what is the discriminant

- In the quadratic equation ax² + bx + c = 0, the roots of the

 equation has three cases:

1- Two different real roots

2- One real root or two equal real roots

3- No real roots means imaginary roots

- All of these cases depend on the discriminate value (D)

- The discriminate D = b² – 4ac determined from the coefficients of  

  the equation ax² + bx + c = 0.

# If the value of D positive means greater than 0

∴ There are two different real roots

# If the value of D = 0

∴ There are two equal real roots means one real root

# If the value of D is negative means smaller than 0

∴ There is real roots but the roots will be imaginary roots

∴ We use the discriminant to describe the roots

* Lets solve the problem

∵ 3x² - 10x = -2

- Put it in the form of ax² + bx + c = 0

- Add 2 for both sides

∴ 3x² - 10x + 2 = 0

- Compare between this equation and the form up to find a , b , c

∵ 3x² - 10x + 2 = 0 and ax² + bx + c = 0

∴ a = 3 , b = -10 , c = 2

- Lets find the discriminate D

∵ D = b² - 4ac

∵ a = 3 , b = -10 , c = 2

∴ D = (-10)² - 4(3)(2)  

∴ D = 100 - 24 = 76

* The discriminate is 76

Answer:

x=(c-b)/3

Step-by-step explanation:

we have

3x+b=c

Solve for x

That means -----> Clear variable x

Subtract b both sides

3x+b-b=c-b

3x=c-b

Divide by 3 both sides

x=(c-b)/3

Answer: -4

Step-by-step explanation:

Solve 2x+7=-1

2x. =-8

x. =-4

Answer:

-4

Step-by-step explanation:

To find the value you have to substitute x for -1. because f(x) = -1.

-2x + 7 = -1

-7= -7

-2x =-8

÷-2

x=-4

Hope it helps!

Subtract the new amount from the original amount:

64 - 85 = -21

Now divide that by the original amount:

-21 / 85 = -0.247

Multiply that by 100 for the percentage:

-0.247 x 100 = -24.7%

Rounded to the nearest percent is -25%

Step 1: evaluate f(x+h) and f(x)

We have

[tex]f(x+h) = -(x+h)^2+6(x+h)-5 = -(x^2+2xh+h^2)+6x+6h-5[/tex]

[tex]= -x^2-2xh-h^2+6x+6h-5[/tex]

And, of course,

[tex]f(x)=-x^2+6x-5[/tex]

Step 2: evaluate f(x+h)-f(x)

[tex]f(x+h)-f(x)=-x^2-2xh-h^2+6x+6h-5-(-x^2+6x-5)=-2xh-h^2+6h[/tex]

Step 3: evaluate (f(x+h)-f(x))/h

[tex]\dfrac{f(x+h)-f(x)}{h}=-2x-h+6[/tex]

Step 4: evaluate the limit of step 3 as h->0

[tex]f'(x) = \displaystyle \lim_{h\to 0} \dfrac{f(x+h)-f(x)}{h}=-2x+6[/tex]

So, we have

[tex]f'(1) = -2\cdot 1+6 = 4,\quad f'(2) = -2\cdot 2+6 = 2,\quad f'(3) = -2\cdot 3+6 = 0[/tex]

Answer:

7 pages

Step-by-step explanation:

this is because 2 times 3 equals 6 and plus one equals 7

Final answer:

Ashlee starts with 1 page of notes and will take 3 pages of notes for each hour of class she attends. After attending 2 hours of class, she will have a total of 7 pages of notes in her notebook.

Explanation:

The question involves solving a simple algebraic equation to find the total number of pages of notes Ashlee will have after attending 2 hours of class. Ashlee starts with 1 page of notes and takes 3 pages of notes for each hour of class. To find the total number of pages of notes, we can use the equation:

Total pages = Initial pages + (Pages per hour × Number of hours)

Substituting the given values into the equation:

Total pages = 1 + (3 × 2) = 1 + 6 = 7 pages

Therefore, Ashlee will have 7 pages of notes in her notebook after attending 2 hours of class.

Answer:

Step-by-step explanation:

[tex]\underline{+\left\{\begin{array}{ccc}5x+3y=13\\-5x-12y=23\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad-9y=36\qquad\text{divide both sides by (-9)}\\.\qquad y=-4\\\\\text{put the value of y to the first equation:}\\\\5x+3(-4)=13\\5x-12=13\qquad\text{add 12 to both sides}\\5x=25\qquad\text{divide both sides by 5}\\x=5[/tex]

Answer:

200

Step-by-step explanation:

150=75% * X

X= 150/0.75

X-200

Darry is 200 centimeters tall

These are the common measurements:

Given,

Calvin = 150 centimeters and 75% of Darryl's height.

we have to find x

150=75% * X

X= 150/0.75

X-200

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Answer:

5

Step-by-step explanation:

85 * 18 / 18 * 17

18 cancels out.

85/17

= 5

Your answer for this question is 5

1.) When you divide 85/18 by 17/18, the first step you want to take is switch the reciprocal.

[tex]\frac{85}{18}[/tex]÷[tex]\frac{17}{18}[/tex]=

[tex]\frac{85}{18}[/tex]×[tex]\frac{18}{17}[/tex]

2.) When you switch the reciprocal, you then division sign is changed to times.

[tex]\frac{85}{18}[/tex]×[tex]\frac{18}{17}[/tex]

3.) Now you simply multiply

[tex]\frac{85}{18}[/tex]×[tex]\frac{18}{17}[/tex]=[tex]\frac{1530}{306}[/tex]

4.) Last step, you divide

[tex]\frac{1530}{306}[/tex] = 5

Hope This Helps.

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Answer: Options 'A', 'C' and 'F' are correct.

Step-by-step explanation:

Since we have given that

Corresponding angles are those angles which takes the same corresponding position at intersection when a transversal cut the two parallel lines.

so, According to this , we get that

∠1 and ∠5

∠2 and ∠6

∠3 and ∠7

∠4 and ∠8

so, Options 'A', 'C' and 'F' are correct.

Answer:2.5 cups of flour in each loaf of raisin bread

Step-by-step explanation:

The pretzel uses 2.5 cups of flour so the remaining flour is 10(12.5-2.5)

Since there are four loaves and 10 cups of flour left

Therefore one loaf has 10/4 or 2.5 cups of flour

Answer:

Four times the amount of flour for the raisin bread plus 2.5 cups equals 12.5 cups total. The equation is 4x + 2.5 = 12.5. First, I subtract 2.5 from both sides, and then I divide both sides by 4. Each loaf contains 2.5 cups of flour.

--

Brianna Edwards

e d g e n u i t y things

Thanks in advance

Remember Vote Brainliest

Answer:

a) translation of 1 unit up

Step-by-step explanation:

The equation that will be used to find t is:

                [tex]3(2-t)+1.5t=5[/tex]

Total distance that is traveled by Amir is: 5 miles.

and the total time taken by him is: 2 hours.

On the first part of the hike, Amir averaged 3 miles per hour.

Let t denote the time he spent hiking during the second i.e. difficult part of the hike.

( Since, the total time was 2 hours)

Also, we know that:

[tex]Distance=Speed\times Time[/tex]

Hence, distance traveled in first part of hike is:

[tex]Distance=3\times (2-t)[/tex]

Since the total distance traveled by him is 5 miles.

It is given that his speed decreased to 1.5 miles per hour.

Now, we know that:

[tex]Time=\dfrac{Distance}{Speed}[/tex]

Hence, time spent by him in second part of hike is:

[tex]t=\dfrac{5-3(2-t)}{1.5}\\\\i.e.\\\\1.5t=5-3(2-t)\\\\i.e.\\\\3(2-t)+1.5t=5[/tex]

Step-by-step answer:

Area of a kite is half of the product of the diagonals.

The length of diagonal in the x-direction is 4+5 = 9

The length of diagonal in the y-direction is 4+4 = 8

Therefore

Area of kite = 8*9/2 = 36 units.

ANSWER

The correct answer is A.

EXPLANATION

If you know the diagonals of a kite you can easily find the area.

The area of a kite is half the product of the diagonals.

From the graph, the from -5 to 4.

Using the number line approach. The longer diagonal is

[tex] |4 - - 5| = |4 + 5| = |9| = 9 \: \: units[/tex]

Similarly the shorter diagonal is from -4 to 4

[tex] |4 - - 4| = |4 + 4| = |8| = 8 \: \: units[/tex]

The area of the kite is:

[tex]Area= \frac{1}{2} \times 8 \times 9[/tex]

[tex]Area=4 \times 9[/tex]

This implies that

[tex]Area=36 \: square \: \: units[/tex]

The first choice is correct.

I was expecting a choice that said A(1,4) is in the first quadrant so 90 degrees clockwise is fourth quadrant.  For perpendicularity we reverse the coordinates, negating one of them.  For the fourth quadrant, it must be the y coordinate that's negative.  We end up at A'(4,-1).

The answer is the second choice:  create a circle with the center at the origin.  The image of A' will be on the circle, 90 degrees clockwise from A.

Answer:

None

Step-by-step explanation:

y<2x - 4

Substitute points to determine if they are a solution

(-1,1)

1<2(-1) - 4

1 < -2-4

1 < -6  False  not a solution

(1,-1)

-1<2(1) - 4

-1 < 2-4

-1 < -2  False  not a solution

(3,2)

2<2(3) - 4

2 < 6-4

2 < 2  False  not a solution

(2,3)

3<2(2) - 4

3 < 4-4

3 < 0  False  not a solution

Answer:

$ (7t+872)

Step-by-step explanation:

Earning for 1 hour as a tutor= $15

Earnings for 1 hour as a waitress= $8

Total hours worked in the month combined jobs= 109 hrs

Number of hours worked as tutor for the month= t

Find the number of hours worked as waitress for the month= 109-t  hours

Total amount earned that month = amount earned as a tutor+ amount earned as a waitress

Amount earned as a tutor=  $15 × t = $15t

Amount earned as a waitress= $8× (109-t)= $ (872-8t)

Total amount earned combined= $ 15t + $ (872-8t)

                                                    =$ ( 15t-8t +872)

                                                    = $ (7t+872)

Final answer:

Rachel's total earnings from both jobs can be expressed as the sum of her hourly rates multiplied by the hours worked in each job, which gives the equation: Total Earnings = 15t + 8(109 - t), where t is the number of hours she worked as a tutor.

Explanation:

To write an expression for the combined total dollar amount Rachel earned this month through her two jobs, we can start by indicating that she earns $15 an hour for tutoring and $8 an hour as a waitress. Given that t represents the number of hours she worked as a tutor, we can calculate her earnings from tutoring as 15t. If the total number of hours worked is 109, then the remaining number of hours worked as a waitress would be 109 - t. Her earnings from working as a waitress would thus be 8(109 - t).

Adding these two amounts together gives us the expression for Rachel's total earnings:
Total Earnings = 15t + 8(109 - t)

Answer:

See below

Step-by-step explanation:

I don't know if this helps you, but I wanted to get you an answer as quickly as I could in case you needed it really soon.  This is what a graph of this function would look like.  Choose the answer that looks like this one.

I really hope this helps!

The graph for the given function is plotted. The graph of a function is represented by y = f(x).

The given function is f(x) = x² + 4x - 1

Consider x values as {-5, -4, -3, -2, -1, 0, 1, 2}

Substituting these values in the function for finding y-values

When x = -5

y = f(-5) = (-5)² + 4(-5) -1 = 4

∴ (-5, 4)

When x = -4

y = f(-4) = (-4)² + 4(-4) -1 = -1

∴ (-4, -1)

When x = -3

y = f(-3) = (-3)² + 4(-3) -1 = -4

∴ (-3, -4)

When x = -2

y = f(-2) = (-2)² + 4(-2) -1 = -5

∴ (-2, -5)

When x = -1

y = f(-1) = (-1)² + 4(-1) -1 = -4

∴ (-1, -4)

When x = 0

y = f(0) = 0 + 4(0) -1 = -1

∴ (0, -1)

When x = 1

y = f(1) = 1² + 4(1) -1 = 4

∴ (1, 4)

When x = 2

y = f(2) = 2² +4(2) -1 = 11

∴ (2, 11)

Plotting these points in the graph and connecting them gives a curve (parabola).

Checking for the vertex:

f(x) = a(x - h)² + k

⇒ x² + 4x - 1

⇒ (x - (-2))² -5

So, the vertex is (h, k) = (-2, -5).

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[tex]\bf 5x-2y<-8\implies -2y<-5x-8\implies \stackrel{\textit{multiplication by a negative}}{y~~\stackrel{\downarrow }{>}~~\cfrac{-5x-8}{-2}} \\\\\\ y>\cfrac{5x+8}{2}\implies y>\cfrac{5}{2}x+4\impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]

The augmented matrix for this system is

[tex]\left[\begin{array}{ccc|c}4&-3&1&22\\4&1&5&30\\3&-1&-1&4\end{array}\right][/tex]

Subtract row 1 from row 2, and subtract 3(row 1) from 4(row 3):

[tex]\left[\begin{array}{ccc|c}4&-3&1&22\\0&4&4&8\\0&5&-7&-50\end{array}\right][/tex]

Multiply row 2 by 1/4:

[tex]\left[\begin{array}{ccc|c}4&-3&1&22\\0&1&1&2\\0&5&-7&-50\end{array}\right][/tex]

Subtract 5(row 2) from row 3:

[tex]\left[\begin{array}{ccc|c}4&-3&1&22\\0&1&1&2\\0&0&-12&-60\end{array}\right][/tex]

Multiply row 3 by -1/12:

[tex]\left[\begin{array}{ccc|c}4&-3&1&22\\0&1&1&2\\0&0&1&5\end{array}\right][/tex]

While this isn't exactly RREF, you can already solve the system quite easily:

[tex]\boxed{z=5}[/tex]

[tex]y+z=2\implies\boxed{y=-3}[/tex]

[tex]4x-3y+z=22\implies4x=8\implies\boxed{x=2}[/tex]

We can confirm this solution by continuing with the row reduction. Subtract row 3 from row 2:

[tex]\left[\begin{array}{ccc|c}4&-3&1&22\\0&1&0&-3\\0&0&1&5\end{array}\right][/tex]

Subtract -3(row 2) and row 3 from row 1:

[tex]\left[\begin{array}{ccc|c}4&0&0&8\\0&1&0&-3\\0&0&1&5\end{array}\right][/tex]

Finally, multiply row 1 by 1/4:

[tex]\left[\begin{array}{ccc|c}1&0&0&2\\0&1&0&-3\\0&0&1&5\end{array}\right][/tex]

and we end up with [tex]\boxed{(x,y,z)=(2,-3,5)}[/tex], as before.

Final answer:

To solve for x, y, and z, the given system of equations is represented as an augmented matrix, then reduced to its reduced row-echelon form through row operations, from which the solutions can be directly obtained.

Explanation:

To solve the system of equations by finding the reduced row-echelon form of the augmented matrix, we first write the system as an augmented matrix:

[ 4 -3  1 | 22 ]
[ 4  1  5 | 30 ]
[ 3 -1 -1 |  4 ]
Next, we perform row operations to convert the matrix to its reduced row-echelon form. Once we have the reduced form, we can directly read off the solutions for the variables x, y, and z.

These row operations usually involve scaling rows, adding and subtracting rows, and swapping rows to systematically bring the matrix into the desired form. The final reduced row-echelon form should look like:

[ 1 0 0 | x ]
[ 0 1 0 | y ]
[ 0 0 1 | z ]

Where x, y, and z are the solutions to the original equations. At this stage, each row corresponds to an equation of the form x=..., y=..., z=..., making it straightforward to determine the values of the variables.

Answer:$306

Step-by-step explanation:

firstly Mr. Tucker 250 weekly

sold 2800 appliances and earn 2%, so find the 2% of 2800 which is

x/2800 X 2/100 = 56

this mean he earn $56 dollars on the sales . add his weekly earn which is $250 to the $56  which will be $250 + 56 = $306 for the week

Answer:

306$

Step-by-step explanation:

2,800*0.02=56

250+56=306

Answer:

The answer is 2

Step-by-step explanation:

Answer: The slope of C'D' = 2

Step-by-step explanation:

From the given picture, we can that the coordinates of point C and D are (5,4) and (4,2).

After dilation with scale factor of 8 with the origin as the center of dilation , the coordinates of C' and D' will be :-

[tex]C'=(8\times5,8\times4)=(40,32)[/tex]

[tex]D'=(8\times4,8\times2)=(32,16)[/tex]

Now, the slope of line segment C'D' will be

[tex]\text{Slope}=\dfrac{\text{Change in y-coordinate}}{\text{Changein x-coordinate}}\\\\\Rightarrow\text{Slope}=\dfrac{16-32}{32-40}\\\\\Rightarrow\text{Slope}=\dfrac{-16}{-8}\\\\\Rightarrow\text{Slope}=2[/tex]

Answer:

bottom left graph

Step-by-step explanation:

A proportional relationship is linear, represented by a straight line graph passing through the origin.

The graph on the bottom left is straight line passing through the origin.

Answer: C

Step-by-step explanation:

Final answer:

The correct symbol to complete the inequality 18.45_3+h is ≤, representing that Leticia spends at most $3 more than Humberto, so her spending of $18.45 is less than or equal to Humberto's spending plus $3.

Explanation:

Leticia spends a certain amount on a shirt, and we have an inequality to show that she spends at most $3 more than Humberto. The inequality to represent this situation, where h represents the amount Humberto spends, is 18.45 ≤ 3 + h. This means that Leticia's spending of $18.45 is less than or equal to Humberto's spending plus an additional $3. The symbol ≤ (less than or equal to) completes the inequality because it indicates that the amount Leticia spends is not greater than the cost of the shirt plus an extra $3. In other words, Humberto's spending could be exactly $3 less than Leticia's, or even less, but not more.

Answer:

x=44

Step-by-step explanation:

Making the equation in terms of x:

0.2x + 0.8 = 9.6

-0.8              -0.8

0.2x=8.8

*5      *5

x=44

Answer:

x=44

Step-by-step explanation:

Multiply by 10 from both sides of equation.

0.2x*10+0.8*10=9.6*10

Simplify.

2x+8=96

Subtract by 8 from both sides of equation.

2x+8-8=96-8

Simplify.

96-8=88

2x=88

Divide by 2 from both sides of equation.

2x/2=88/2

Simplify, to find the answer.

88/2=44

x=44 is the correct answer.

I hope this helps you, and have a wonderful day!

Answer:

B. 164°

Step-by-step explanation:

arc JL = 2 (<JKL)

arc JL = 2(82)

arc JL = 164°

The measure of JL is 164°.

The correct option is (B)

An arc whose measure is less than 180 degrees is called a minor arc.

Given: angle JKL= 82°

We know by the theorem that

"When two angles are subtended by the same arc, the angle at the centre of a circle is twice the angle at the circumference."

Then,

JL= 2 (JKL)

JL= 2(82)

JL= 164°.

Hence, the measure of JL is 164°.

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well, the recursive rule of aₙ = aₙ₊₁ + 7, where a₁ = 15, is simply saying that

we start of at 15, and the next term is obtained by simply adding 7, and so on.

well, that's the recursive rule.

so then let's use that common difference and first term for the explicit rule.

[tex]\bf n^{th}\textit{ term of an arithmetic sequence} \\\\ a_n=a_1+(n-1)d\qquad \begin{cases} a_n=n^{th}\ term\\ n=\textit{term position}\\ a_1=\textit{first term}\\ d=\textit{common difference}\\ \cline{1-1} a_1=15\\ d=7 \end{cases} \\\\\\ a_n=15+(n-1)7\implies a_n=15+7n-7\implies a_n=7n+8[/tex]

Answer:

x= 6.5 cm

Step-by-step explanation:

When a tangent line touches the circle, it forms a right angle triangle at that point

Apply the Pythagorean relationship in this case

Given that the height is = 20.2 cm = b

The hypotenuse is = c= x+14.7 cm

General formulae is;

a² +b² =c²

x² + 20.2² =( x+ 14.7)²

x² + 408.04= x² +14.7x+14.7x+216.09

x² + 408.04= x² + 29.4 x +216.09.........................collect like terms

x²-x² + 408.04-216.09= 29.4x

191.95= 29.4x-------------------------------divide by 29.4 t0 get x

191.95/29.4 =x

x=6.5 cm

Answer:

30(3+2)

Step-by-step explanation:

90=3(30)=3(3)(10)=3(3)(2)(5)

60=3(20)=3(5)(4)=3(2)(2)(5)

The factors that 90 and 60 have in common are a pair of 3,2, and 5's.

So the biggest factor we can factor out is 3*2*5 which is 30

So 30(3+2)

Leftovers from the prime factorizations above stayed in the ( )