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Answer:

The equation of the circle is

(x + 4)^2 + (y-1)^2 = 162

Step-by-step explanation:

Here, we want to give the correct equation of the circle.

The center of the circle is (-4,1)

Now the other parameter we need to show the equation of the circle is the radius of the circle and this can be obtained from the distance between the circle center and a point on the circumference.

We use the distance formula to calculate this.

So the distance we want to calculate is the distance between;

(-4,1) and (5,-8)

using the distance formula, we have

d = √(x2-x1)^2 + (y2-y1)^2

Substituting these values, we have;

d = √(5 + 4)^2 + (-8-1)^2

d = √(9^2 + 9^2)

d = √(162)

d = 9 √2 units

The formula for the equation of a circle is

(x-h)^2 + (y-k)^2 = r^2

where (h,k) are coordinates of the center which is (-4,1) in this question

The way of the circle is thus,

(x-(-4)^2 + (y-1)^2 = {9√(2)}^2

(x + 4)^2 + (y-1)^2 = 162

Answer:

C) 38

Step-by-step explanation:

You are solving for m∠QSR.

Given:

m∠TSR (Total of the two angles) =  70

m∠QST = 2x

m∠QSR = 3x - 10

Set the two angles equal to the total measurement of angles:

2x + 3x - 10 = 70

Simplify. Combine like terms. Add 2x & 3x:

2x + 3x = 5x

5x - 10 = 70

Next, isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, add 10 to both sides:

5x - 10 = 70

5x - 10 (+10) = 70 (+10)

5x = 70 + 10

5x = 80

Next, divide 5 from both sides:

(5x)/5 = (80)/5

x = 80/5

x = 16

Then, plug in 16 for x in the expression given. Remember you are solving for m∠QSR.

m∠QSR = 3x - 10

m∠QSR = 3(16) - 10

m∠QSR = 48 - 10

m∠QSR = 38

C) 38 is your answer.

~

Answer:

38

Step-by-step explanation:

the sum of two angles =70

2x+3x-10= 70

5x=80

x=80/5=16

QSR= 3x-10=3*16 -10= 48-10= 38

Answer:

let x = the number of nickels

the number of pennies can be represented by (56 - x)

.05x + .01(56 - x) = 1.52

5x + (56 - x) = 152    if in the above line we multiply both sides of the equation by 100

4x + 56 = 152

4x = 96

x = 24

There are 24 nickels and 56 - 24 = 32 pennies

24 nickels are worth 24 * 5 = $1.20 and 32 pennies are obviously worth 32 cents, so the total is 1.20 + 0.32 = $1.52

Step-by-step explanation:

Answer:

879.2ft^3

Step-by-step explanation:

Step-by-step explanation:

4x-7=-2x+12

Add 2x

6x-7=12

Add 7

6x=19

Divide 6

x = 19/6

19/6 = 3 1/6

x = 3 1/6

Answer:

Answer:

4

Step-by-step explanation:

No greater number than 4 can be x because otherwise it'll be equal to or more than 5

The largest possible value x could take given that it must be an integer of x < 5 is; x = 4

We first have to understand the meaning of integers.

Integers are defined as whole numbers which could be positive or negative or even zero.

Now, we want to find the highest possible integers that are less than 5 from;

x < 5

Now, the first integer lower than 5 will be the highest possible one. That integer is 4.

Thus, x = 4.

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Answer:

The probability would be 5/15 or 1/3

Total = 7+3+5

= 15

yellow = 3

orange = 7

blue marbles = 5

Answer:

⇒Pgreen or yellow=5\11

Step-by-step explanation:

Probability here is the chance of selection out of a total. So, we need to first find the total number of marbles.

total

=

5

+

3

+

2

+

1

=

11

So there are

11

marbles total. The probability that we pick one of the

3

green marbles out of the

11

is simply that ratio:

P

green

=

3

11

Same idea for yellow:

P

yellow

=

2

11

The probability of picking either of these colors is simply the sum of their probabilities.

P

green or yellow

=

P

green

+

P

yellow

=

3

11

+

2

11

=

5

11

Answer:

Option (B).

Step-by-step explanation:

Option (a). {(1, 2), (3, 4), (4, 5), (6, 7)}

Since in every ordered pair value of x corresponds a distinct value of y.

The given ordered pairs represent one-to-one function.

Option (b). {(0, 3), (1, 5), (3, 9), (1, 13)}

In the ordered pairs (1, 5) and (1, 13) value of x correspond to the two different values of y.

Therefore, its not a function.

Option (c). {(-2, 2), (-3, 3), (-4, -4), (-5, -5)}

For every value of x there is distinct value of y.

Therefore, given set of ordered pairs represent a one to one function.

Option (d). {(1, 2), (2, 2), (3, 5), (4, 8)}

Ordered pairs represent a function.

Option (B), will be the answer.

Answer:

c. The graph has no​ x-intercepts.

Step-by-step explanation:

because it will never touch the x axis

A quadratic function is represented as: [tex]\mathbf{f(x) = ax^2 + bx + c}[/tex]

The conclusion from [tex]\mathbf{b^2 - 4ac > 0}[/tex] is that, the graph has two distinct x-intercepts

There are three possible roots of a quadratic function

When [tex]\mathbf{b^2 - 4ac > 0}[/tex], it means that:

The function has distinct real roots

In other words, the function has 2 different values of x

This implies that,

The function crosses the x-axis two times

When the function cross the x-axis, it means that the function has an x-intercept

Hence, the conclusion is:

a. The graph has two distinct​ x-intercepts.

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Answer:

(x+9)(x+3)

x*x = x^2

x*3 = 3x

9*x = 9x

9*3 = 27

Answer = x^2 + 12x + 27

Hope this helps

Answer:

x^2+12x+27

Step-by-step explanation:

have a nice day:)

Answer:

x < 6.5

y < -1.5

Step-by-step explanation:

y > x - 8

Therefore x < y + 8

y < 5 - x

Therefore x < 5 - y

2x < 13

x < 6.5

6.5 < 5 - y

y < -1.5

Answer:

22.360679775

Step-by-step explanation:

i used a calulator on the web

Answer:

±10 sqrt(5)

Step-by-step explanation:

sqrt(500)

We know that sqrt(ab) = sqrt(a) sqrt(b)

sqrt(100*5)

sqrt(100) sqrt(5)

±10 * sqrt(5)

Answer:

4,20,11,2,1y

Step-by-step explanation:

The first graph has a constant additive rate of change of -1/4.

First of all, when we talk about a rate of change, that means a linear relation between variables, which is proper of a linear function represented by the first function showed in the image.

Also, if you observe the linear graph, you would see that the line represents a negative rate of change, because the line is going down (the function is decreasing). In other words, as x-variable increases, y-variable decreases.

Therefore, the first graph shows a ratio of change of -1/4.

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Answer: first one

Step-by-step explanation:

Answer: A circle divided into 10 equal parts with 8 parts shaded

Step-by-step explanation:

Alright, there are a lot of words here so lets write them down as fractions so its easier to compare.

A circle divided into 5 parts with 1 part shaded = 1/5

A circle divided into 10 parts with 5 parts shaded = 5/10

A circle divided into 6 parts with 2 parts shaded = 1/3

A circle divided into 10 parts with 8 parts shaded = 8/10

Okay so looking at this we can see that they don't have a common denominator so lets fix that

1/5 = 6/30

5/10 = 15/30

1/3 = 10/30

8/10 = 24/30

3/5 = 18/30

Now lets find which one is greater than 3/5

Only the 24/30 one is greater, and looking back that is the circle divided into 10 parts with 8 of them shaded.

Answer: B for short

Step-by-step explanation:

All credit to the person above me! <3

Answer:

Correct option: First one -> Hexagonal prism

Step-by-step explanation:

In the figure we have two hexagons and six rectangles. If we fold each part correctly, we can use the two hexagons as horizontal bases of a prism, and the six rectangles would be the sides of the prism (each rectangle connected to one side of lower hexagon and one side of upper hexagon).

So the figure created would be a hexagonal prism.

Correct option: First one.

Answer:

First one

Step-by-step explanation:

Answer:

The answer is x = 4

Step-by-step explanation:

1. First you need to distribute the 3/4 * (x + 8). This looks like (3/4) * (x) + (3/4) * (8) = 9

2. Next you simplify the distributed equation, 3/4x + 6 = 9

3. Now subtract 6 from both sides, 3/4x = 3

4. Multiply both sides by 4/3, 4/x * 3/4x = 3 * 4/3

5. Simplify, x = 4

[tex]answer \\ = \frac{4}{25} \\ please \: see \: the \: attached \: picture \\ for \: full \: solution \\ hope \: it \: helps[/tex]

Answer:

divide both sides by 2

Step-by-step explanation:

Step-by-step explanation:

a 6xy is the answer to question a

Answer:

(1) 6 (2) 2

Step-by-step explanation:

[tex]1)y=\frac{36}{6}\\y=62) \\[/tex]

[tex]y=\frac{36}{18}\\y=2[/tex]

Step-by-step explanation:

SA=ph+2A, that is, perimeter × height+ twice area

p=21+20+29=70cm

h=22cm

70×22=1540cm

A=1/2 ×20×21=210×2=420

1540+420=1960cm2

Answer:

[tex] = 3 {a}^{4} [/tex]

Step-by-step explanation:

[tex] \frac{4a \times 6 {a}^{5} }{8 {a}^{2} } \\ = \frac{24 {a}^{1 + 5} }{8 {a}^{6} } \\ = \frac{24 {a}^{6} }{8 {a}^{2} } \\ = 3 {a}^{6 - 2} \\ = 3 {a}^{4} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

The right answer is 3a^4

please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Answer:

The system of equations does not have a solution.

Step-by-step explanation:

For example, imagine these two equations y = x + 7 and y = x + 9

Now substitute y in the second equation with the value from the first equation:

x + 7 = x + 9

x - x + 7 = 9

0 + 7 = 9

7 = 9.

That happens because the equations represent parallel lines, which do not have a common pair of points.

Answer:

x ≈ 17.67 cm

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

x² = 16² + 7.5² = 256 + 56.25 = 312.25 ( take the square root of both sides )

x = [tex]\sqrt{312.25}[/tex] ≈ 17.67 ( to 2 dec. places )

The measure of hypotenuse length x would be 17.67 cm

If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:

|AC|² = |AB|² + |BC|²  

where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).

Using the Pythagoras' identity in the right angled triangle.

hypotenuse²  = perpendicular²  + base²

x² = 16² + 7.5²

x²= 256 + 56.25

x²= 312.25

Now take the square root of both sides

x = √312.25

x =  ≈ 17.67 ( to 2 dec. places )

Therefore, the measure of hypotenuse length x would be 17.67 cm

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Answer:

Jadi jumlah derajat tidak masalah. Mereka masih akan menempuh jarak yang sama.

Karena Anda mengatakan bahwa ekspres Marina berjalan pada 40 km / jam dan kami melakukan 2 jam. 40 * 2 = 80 km. Untuk Dumai Anda melakukan hal yang sama, 48 * 2 = 96.

Marina berjalan sejauh 80 km

Dumai berjarak 96 km

Step-by-step explanation:

b can be used to check her score

[tex]\frac{137+150+144+149+x}{5} =141[/tex]

[tex]x=125[/tex]

Therefore, the man is shorter than 141 centimeters.

Answer:

24 ^ 8

Step-by-step explanation:

sqrt(24) ^ 16th power

Rewriting the square root as  ^ 1/2

24 ^ 1/2 ^ 16

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

24 ^ (1/2*16)

24 ^ 8

Answer:

2²⁴ *3⁸ or  24⁸

Step-by-step explanation:

the square root of 24 to the 16th power  can be written as 24

([tex]\sqrt{24}[/tex] )¹⁶

√ means power of 1/2 so ([tex]\sqrt{24}[/tex] )¹⁶ = (24)^(¹⁶/₂) = 24⁸ or

24 = 4*6 and [tex]\sqrt{24} = 2\sqrt{6}[/tex]

then (2[tex]\sqrt{6}[/tex] )¹⁶= 2¹⁶ *6⁸ = 2¹⁶ * 2⁸ *3⁸ = 2²⁴ *3⁸

Answer:

5/4 is the slope

Step-by-step explanation:

y= 5/4c- 7/4

This is in the slope intercept form

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

5/4 is the slope and -7/4 is the y intercept

Answer:

5/4

Step-by-step explanation:

This equation is in slope intercept form (y=mx=b) so when interpreting the information we see that the slope is 5/4.

y = y

m = slope

x = x or in this case they use c

b = y intercept

This equation represents a line that intercepts at -7/4 and has a slope of 5/4. This can be checked by plugging in any point on the line for x and y.

Hope this helps!

Answer:

The slope is 60.

Points for the graph are: (0,0), (1, 60), (2, 180), (3, 240), (4, 320), (5, 400), (6, 480), (7, 560)

Step-by-step explanation:

I don't know what the question is but I will tell you your graph is horribly wrong.

The points for the graph is:

(0,0), (1, 60), (2, 180), (3, 240), (4, 320), (5, 400), (6, 480), (7, 560)