The graph shows the solution to which system of inequalities?

21 ≤ x2 + (y + 6)2 and 84 ≤ (x + 8)2 + y2
21 ≤ x2 + (y + 6)2 and 84 ≥ (x + 8)2 + y2
21 ≥ x2 + (y + 6)2 and 84 ≤ (x + 8)2 + y2
21 ≥ x2 + (y + 6)2 and 84 ≥ (x + 8)2 + y2

Answer:

Sell, 10.80

Step-by-step explanation:

PLATO Users be like

Answer:

7/10 is the fraction that Represents the shaded boxes.

I think it will help you.

Answer:

7/10

Step-by-step explanation:

Answer:

∠ EFA

Step-by-step explanation:

complementary angles sum to 90°

∠ EFA and ∠ EFA form a right angle ad sum to 90°

1. When the bond is redeemed at maturity, the total return (profit) for Alejandro will be $600.00.

2. The total return on investment will be 12.5%.

The return on investment is a profitability measure that shows the rate of an investment's profit versus the cost.

The return on investment can be computed by subtracting the initial investment cost from the terminal value of the investment, then dividing the net return by the initial investment cost, then multiplying it by 100.

Face value of bond = $5,000

Price paid for bond = $4,800 ($5,000 x 96%)

Bond discount = $200 ($5,000 x 4%)

Maturity period = 2 years

Interest rate = 4%

Semi-annual interest receipts = $100 ($5,000 x 4% x 1.2)

Total interest receipts = $400 ($100 x 4)

Total return (profit) from the bond = $600 ($400 + $200)

Total return on investment = 12.5% ($600/$4,800 x 100)

Thus, the bond investment yields $600 at the end of the maturity period, which is 12.5% of the initial investment.

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[tex]\qquad \qquad\huge \underline{\boxed{\sf Answer}}[/tex]

The y - intercept of the shown line on the graph is -4

Y - intercept is the " y - coordinate of the point on line when it cuts the y - axis "

Apply law of cosines

[tex]\\ \rm\longmapsto c^2=a^2+b^2-2abcos\gamma[/tex]

[tex]\\ \rm\longmapsto c^2=150^2+35^2-2(150)(35)cos110[/tex]

[tex]\\ \rm\longmapsto c^2=22500+1225-10500(-0.34)[/tex]

[tex]\\ \rm\longmapsto c^2=23725+3570[/tex]

[tex]\\ \rm\longmapsto c^2=27295[/tex]

[tex]\\ \rm\longmapsto c=165.2yd[/tex]

Answer:

165 yd (nearest yard)

Step-by-step explanation:

To calculate the distance from the ball to the center of the green, we need to use the cosine rule:

[tex]c^2=a^2+b^2-2ab \cos (C)[/tex]

where:

Therefore, for this triangle:

Substituting these values into the cosine rule formula:

[tex]\implies c^2=35^2+150^2-2(35)(150) \cos (110\textdegree)[/tex]

[tex]\implies c^2=23725-10500\cos(110\textdegree)[/tex]

[tex]\implies c=\sqrt{23725-10500 \cos(110\textdegree)}[/tex]

[tex]\implies c=165.2761674...[/tex]

[tex]\implies c = 165 \textsf{ yd (nearest yard)}[/tex]

Answer:

a) 13 m

b) 0.4 mm

Step-by-step explanation:

side length = x, area = x²

a) x² = 169, x = √169 = 13 m

b) x² = 0.16, x = √0.16 = 0.4 mm

Veremos que la distancia total recorrida es de 20 metros, y el desplazamiento es de 0 metros.

Definimos el desplazamiento como la diferencia entre la posición final y la inicial. En este caso sabemos que la persona comienza en su casa, luego va al colmado, y luego regresa a su casa.

Entonces la posicion inicial y la final son la misma, por lo que concluimos que el desplazamiento es 0.

La distancia total recorrida será igual a dos veces la distancia entre la casa y el colmado.

Esta distancia es 10 metros, entonces la distancia recorrida es:

distancia = 2*10m = 20m

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Answer:

12x+4x-7y+45b+78a-44b+1a+1z+0d+1.1a+1.1a+2+2+2

Answer: 6

Step-by-step explanation:

i got the same question.

Answer:

i don't know i can't read it please writ properly

Answer:

  E, F, A, ED, BC, EF, ABC, EDF

Step-by-step explanation:

The angle and side markings show which segments and angles are congruent.

We can make a table of corresponding pairs based on the number of marks:

marks, angle, side

__

This can help us fill in the question numbers:

Answer:

160

Step-by-step explanation:

The total number of girls in grade is = 120

the ratio of girls to boys is 6/8

Let the number of boys be x

[tex]\frac{6}{8} = \frac{120}{x}[/tex]

6 x = 120 x 8 = 960

x = 960/6

x = 160

Number of boys in grade = 160

Answer:

Square, because the lengths are the same number and the area will never change no matter which two sides you use.

The answer to the given problem can be stated as, "The quadrilateral is most specifically a square because all of its sides are equal and angles are right angle."

A square is type of rectangle of which all sides are equal.

The diagonals of a square are perpendicular bisector of each other.

The given diagram of the quadrilateral clearly shows the following information,

All the angles of the quadrilateral are equal to right angle,

And, all of its sides are equal.

The given information matches with the property of a square which implies that the given quadrilateral is a square.

Hence, the given quadrilateral is a square.

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Answer:

Distance between (-7, 8) and (6, 4)

= √ [ (4-8)^2 + (6-(-7))^2 ]

= √ [ (-4)^2 + (13)^2 ]

= √ [ 16 + 169 ]

= √ [ 185 ]

= 13.60

which is 14 units

Step-by-step explanation:

Brainiest?

Jessica needs another 52.8 cm^3 of material to make the other prism.

For a right triangular prism of base B, height H, and length L, the volume is:

V = (1/2)*B*L*H

Now, we know that the first triangle has a volume of 12.6cm^3, then we can write:

V = 12.6cm^3 = (1/2)*B*L*H

If we dilate the prism with a scale factor of 3, the new dimensions are:

B' = 3B

L' = 3L

H' = 3H

Then the new volume is:

V' = (1/2)*(3B)*(3L)*(3H) = 27*(1/2)*B*L*H

And (1/2)*B*L*H is the original volume, so we can write:

V' = 27*V = 27*(12.6cm^3) = 340.2 cm^3

And she has 300cm^3 and she used 12.6cm^3, so the amount of material that she has left is:

M = 300 cm^3 - 12.6 cm^3 = 287.4 cm^3

Then the amount of material that she needs is:

340.2 cm^3 - 287.4 cm^3 = 52.8 cm^3

So Jessica needs another 52.8 cm^3 of material to make the other prism.

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Answer:

Maggie = 15 hours

Ryan = 30 hours

Step-by-step explanation:

let x - time it takes Ryan to do the job alone.

x-15 - time it takes Maggie to do the job alone

[tex] \frac{10}{x} + \frac{10}{x - 15} = 1 \\ \\ \frac{10(x - 5) + 10x}{x(x - 15)} = 1[/tex]

[tex]10x - 150 + 10x = x {}^{2} - 15x \\ \\ 20x - 150 = x {}^{2} - 15x \\ \\ x {}^{2} - 15x - 20x + 150 = 0 \\ \\ x {}^{2} - 35x + 150 = 0 \\ \\ (x - 30)(x - 5) = 0 \\ \\ x = 30 \: and \: x - 15 = 15[/tex]

x = 5 --> not valid because x-15 will be NEGATIVE

Therfore,

Maggie can do the job in 15 hours.

Ryan can do the job in 30 hours.

Step-by-step explanation:

The first one is [tex]6 \frac{1}{2} [/tex]

2nd is [tex]6 \frac{5}{8} [/tex]

3rd is [tex]6 \frac{3}{4} [/tex]

Answer:

109,200 people

Step-by-step explanation:

First change all the percentages into decimals. Then multiply 108,000 by 1.077, because it is 7.7% of the population, while also including the original population. The product of this is 116,316. Then, if you want to find the percent decrease, it would be something out of 100, so 100-6.1=93.9. Changing that into decimal form, 0.939, and multiplying it by 116,316, you get 109,220, which rounds to 109,200.

Answer:

109200

Step-by-step explanation:

Answer:

y=-3/2x-3

Step-by-step explanation:

For perpendicular lines,the product of their slopes is -1 this m1•m2=-1

For the given line 3y=7+2x

y=7/3+⅔x,the slope is ⅔

For the unknown line since the y-intercept is -3 then y=mx-3

compare the slopes of both lines

m•⅔=-1

m=-3/2

hence the the perpendicular line has the equation

y=-3/2x-3

Answer:

5 packages of Takis

Step-by-step explanation:

The total number packages that were placed on the shelf were 16 packages. The total number of packages of Flamas that were placed on the shelf were 9 packages. So to identify the number of packages of Takis the clerk put on the shelf, we simply do

16-9=5

Step-by-step explanation:

a.

(ax + b)² = 0

√( (ax + b)²  )= √0

ax + b = 0

dont know the rest

Answer:

Step-by-step explanation:

[tex]\frac{6a}{a^2-6a+9}}+\frac{9}{a^2-2a-3)}\\\\=\frac{6a}{(a-3)^2}+\frac{9}{(a-3)(a+1)}\\\\\\[/tex]

[tex]=\frac{6a(a+1)+9(a-3)}{(a-3)^2(a+1)}\\\\=\frac{6a^2+6a+9a-27}{(a-3)^2(a+1)}\\[/tex]

[tex]=\frac{6a^2+15a-27}{(a-3)^2(a+1)}\\\\=\frac{3(2a^2+5a-9)}{(a-3)^2(a+1)}[/tex]

Answer: x≤-6 or 0<x≤6.Option D.

Step-by-step explanation:

Given:

Subtract   from both sides,

0

Simplifying by taking common denominator:

0

Factoring numerator:

0

Computing the signs and selecting that one satisfies ≤ 0:

x≤ -6,0<x≤6.

Option D is the right answer.

The resulting function is (f-g)(x) = 5 · x⁴ + 3 · x² + 10.

The resulting function is (f • g) (x) = 3 · (3 · x⁵ - 5 · x⁴ + 3 · x² - 15)⁵ + 6 · (3 · x⁵ - 5 · x⁴ + 3 · x² -15)² - 5.  

Let be [tex]f(x)[/tex] and [tex]g(x)[/tex] polynomial functions, the subtraction between between the two functions implies the subtraction of similar terms. If we know that [tex]f(x) = 3\cdot x^{5}+6\cdot x^{2}-5[/tex] and [tex]g(x) = 3\cdot x^{5}-5\cdot x^{4}+3\cdot x^{2}-15[/tex], then the subtraction between the two functions:

[tex](f-g)(x) = (3\cdot x^{5}+6\cdot x^{2}-5)-(3\cdot x^{5}-5\cdot x^{4}+3\cdot x^{2}-15)[/tex]

[tex](f-g)(x) = 5\cdot x^{4}+3\cdot x^{2}+10[/tex]

The resulting function is (f-g)(x) = 5 · x⁴ + 3 · x² + 10. [tex]\blacksquare[/tex]

The composition between two functions, the independent variable of the former function by the latter function. If we know that [tex]f(x) = 3\cdot x^{5}+6\cdot x^{2}-5[/tex] and [tex]g(x) = 3\cdot x^{5}-5\cdot x^{4}+3\cdot x^{2}-15[/tex], then the composition between the two functions:

[tex]f\,\circ\,g\,(x) = 3\cdot (3\cdot x^{5}-5\cdot x^{4}+3\cdot x^{2}-15)^{5}+6\cdot (3\cdot x^{5}-5\cdot x^{4}+3\cdot x^{2}-15)^{2}-5[/tex]

(f • g) (x) = 3 · (3 · x⁵ - 5 · x⁴ + 3 · x² - 15)⁵ + 6 · (3 · x⁵ - 5 · x⁴ + 3 · x² -15)² - 5.  [tex]\blacksquare[/tex]

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[tex]\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &201000\\ r=rate\to 0.5\%\to \frac{0.5}{100}\dotfill &0.005\\ t=\textit{elapsed time}\dotfill &1\\ \end{cases} \\\\\\ A=201000(1 + 0.005)^{1}\implies A=201000(1.005)\implies A=202005[/tex]

Answer:

weight dog trhee monts ago is 28.i pounds

Step-by-step explanation:

Percentage:

20% × 36 =

Weight dog trhee months ago:

Answer:

  3/2

Step-by-step explanation:

The composition of transformations has you dilate the line by a factor of 1/2, then by a factor of 3. Then the line is rotated about the origin.

The scale factor of the result will be the product of the dilation factors:

  (3)(1/2) = 3/2

The scale factor of the transformation is 3/2.

Answer:

3/2

Step-by-step explanation:

The composition of transformations has you dilate the line by a factor of 1/2, then by a factor of 3. Then the line is rotated about the origin.

The scale factor of the result will be the product of the dilation factors:

 (3)(1/2) = 3/2

The scale factor of the transformation is 3/2.