What is the radius of a circle whose equation is (x – 7)2 + (y – 10)2 = 4? 2 units 4 units 8 units 16 units

Answer:

Solving for x

5x - 9 = 3x + 7

subtract 3x from both sides

-3x          -3x

2x - 9 = 7

get rid of constants by adding 9 on both sides since addition is the inverse operation of subtraction

+9      +9

2x = 16

divide by 2 since that is the inverse operation of multiplication

/2    /2

x = 8

The solution for ''x'' for the expression ( 5x – 9 = 3x + 7

Expressions can be evaluated, meaning that they can be simplified to a single value. The value of an expression depends on the values of any variables or numbers within the expression.

To solve for x in equation 5x - 9 = 3x + 7, we want to isolate x on one side of the equation. We can do this by performing the same operation on both sides of the equation, in order to keep the equation balanced.

First, we can simplify both sides of the equation by combining like terms:

5x - 9 = 3x + 7

2x - 9 = 7

Next, we can add 9 to both sides of the equation to isolate the variable term:

2x = 16

Finally, we can divide both sides of the equation by 2 to get the value of x:

x = 8

Therefore, the solution to the equation 5x - 9 = 3x + 7 is x = 8.

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Answer:

  y = -1/7x +20/7

Step-by-step explanation:

Solve for y.

  7y = -x +20 . . . . . subtract x from both sides to get the y-term by itself

  y = -1/7x +20/7 . . . . divide both sides by the coefficient of x

In this form, you can see ...

Answer:

y=-1/7x+20/7

Step-by-step explanation:

So they are asking us to put x+7y=20 into slop-intercept form (y=mx+b).

They're pretty much just asking us to solve for y.

x+7y=20

7x=20-x (Subtract x from both sides)

y=20-x/7 (Divide 7 on both sides to isolate y)

y=20/7-1/7x

y=-1/7x+20/7

So..

m=-1/7

b=20/7

Hope this helps :)

[tex]x-8.2=-9.09\\\\\implies x = -9.09 +8.2 =-0.89[/tex]

x = -0.89

Step-by-step explanation:

when subtracting a positive number to a negative it will always be negative or atleast 0. It is like a number line, when subtracting on a number line, you always go left, which is also why its negative.

How I solved it: (just another way to solve this)

9.10-8.20=0.89

since the 9.10 was actually a negative(-9.10), it would make 0.89 negative, making it -0.89.

Answer:

The graph for y = (1/2)x + 1 is C.

Step-by-step explanation:

y = (1/2)x + 1

This line has a slope of 1/2.  That is a positive line, so option A is incorrect.  It also has a y-intercept of 1.  The value of y when x is zero is 1.  There are two graphs in which the line intersects (0,1):  A and C.  But A has already been rejected, so it must by Graph C:  

Double check this to see if the slope is 1/2.  Does y increase by 1/2 for every step of 1 on x?  Graph C:

x     y

-2     0

-1      1/2

0       1

+1      1 1/2

+2      2

Yes:  Y increases by (1/2) for every x increase of 1.

The graph for y = (1/2)x + 1 is C.

Answer:

[(x + 6), (y + 1)]

Step-by-step explanation:

Vertices of the quadrilateral ABCD are,

A → (-5, 2)

B → (-3, 4)

C → (-2, 4)

D → (-1, 2)

By reflecting the given quadrilateral ABCD across x-axis to form the image quadrilateral A'B'C'D',

Rule for the reflection of a point across x-axis is,

(x, y) → (x , -y)

Coordinates of the image point A' will be,

A(-5, 2) → A'(-5, -2)

From the picture attached, point E is obtained by translation of point A'.

Rule for the translation of a point by h units right and k units up,

A'(x+h, y+k) → E(x', y')

By this rule,

A'(-5 + h, -2 + k) → E(1, -1)

By comparing coordinates of A' and E,

-5 + h = 1

h = 6

-2 + k = -1

k = 1

That means

Rule for the translation will be,

[(x + 6), (y + 1)]

For the given graph, the translation rule is (x, y) ⇒ (x+(-4), y+(-4))

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

Graph transformation is the process by which a graph is modified to give a variation of the proceeding graph.

The graphs can be translated or moved about the xy-plane

After point D is reflected across the y-axis, its coordinates are

D(-1, 2) ⇒ D'(1, 2)

This is the point that gets translated to F(-3, -2). The translation is

F -D' = (-3, -2) -(1, 2)

= (-3-1, -2-2)

= (-4, -4)

Then the translation rule is (x, y) ⇒ (x+(-4), y+(-4))

Hence, for the given graph, the translation rule is (x, y) ⇒ (x+(-4), y+(-4))

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Answer:

  c)  36√15 cm³

Step-by-step explanation:

We can compute the volume of the pyramid if we know the area of its base, and its height.

__

A regular quadrilateral is a square. If one side of the square is 6 cm, its area will be ...

  A = s² = (6 cm)² = 36 cm² . . . . area of the pyramid base

__

Each triangular face will have a slant height that makes its area the same as that of the base.

  A = 1/2bh

  36 cm² = (1/2)(6 cm)h

  (36 cm²)/(3 cm) = h = 12 cm  . . . . .  divide by the coefficient of h

The slant height of a face is the hypotenuse of a right triangle whose short leg is half the side length, and whose long leg is the height of the pyramid. If that height is represented by h, the Pythagorean theorem tells us ...

  (6 cm/2)² +h² = (12 cm)²

  h² = (144 -9) cm²

  h = 3√15 cm . . . . . height of the pyramid

__

The volume of the pyramid is given by ...

  V = 1/3Bh . . . . . . base area B, height h

Using the values we found above, we compute the volume to be ...

  V = (1/3)(36 cm²)(3√15 cm) = 36√15 cm³

Answer:

Step 1: 10 group(s) of 23=230

Step 2: 6 group(s) of 23=138

Step 3: Add the partial quotients: 10 + 6 = 16

Step-by-step explanation:

Answer:

[tex]\huge\boxed{\sf p = 48\°}[/tex]

Step-by-step explanation:

Since, interior angles of a triangle add up to 180 degrees.

So,

S + Q + R = 180°

S + 44 + 40 = 180

S + 84 = 180

Subtract 84 to both sides

S = 180 - 84

S = 96°

Since S is divided into two p angles because ST is an angle bisector (dividing the angle into two "equal" parts)

So,

S =  p + p

S = 2p

96 = 2p

Divide both sides by 2

48 = p

OR

p = 48°

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

A.

1 ) 1/2

2 ) - 1

3 ) 1/2

4 ) 5/4

B.

5 ) not defined

6 ) 0

7 ) 15/14

8 ) - 2/5

C )

9. - 1

10. - 4/3

11. 2

12. 14/3

Answer:

A.

1) 1/2

2) -1

3) 1/2

4) 5/4

B.

5) not defined

6) 0

7) 15/14

8) - 2/5

C.

9) -1

10) -4/3

11) 2

12) 14/3

Answer:

80

Step-by-step explanation:

60/3 becomes 20 and then it says equal to 1/4 x because x divided by 4 so we multiply by 4 to get 80

Answer:

Henry payed $ll.70

Step-by-step explanation:

1.20 times 9 3/4 (or 9.75) equals 11.7

Answer:

7 fiction and 23 non- fiction

Step-by-step explanation:

The number of non-fiction read was 5 less than 4 times the number of fiction books.

Assume fiction books are x.

An equation representing this would be:

x + (4x - 5) = 30

5x - 5 = 30

5x = 30 + 5

x = 35 / 5

x = 7 fiction books

Non-fiction books:

= 4x - 5

= 4 * 7 - 5

= 23 non - fiction books

Answer:

$82,500

Step-by-step explanation:

Since each share is 8250 and we want to find to find 10 shares, we can do 8250 (price of each share) x 10 (amount of shares) and we get $82500

Answer:

I have no idea.

Step-by-step explanation:

I failed geometry.

Answer:

surface area=1/2perimeterofbase+slantheight+b(base)

Step-by-step explanation:

1/2(40)=20(8)=160+100=260D

Answer:

is 10+10+8+8+8+8

Step-by-step explanation:

just trial. not sure

[tex]h = 2 \sqrt{2} [/tex]

[tex]c = \frac{8}{ \sqrt{3} } = \frac{8 \sqrt{3} }{3} \\ [/tex]

The correct statement is  for every 8 vehicles sold, 1 truck was sold.​

Ratio expresses the relationship between two variables. It expresses the number of times one value is contained within another variable.

In this question, the ratio of trucks to vans is 10 : 80. This means that for every 10 trucks that is sold, 80 cars are sold. The given values can be expressed in its simplest form. To do this divide the numbers by 10. This gives the ratio 1 : 8. This means that for every  8 cars sold 1 truck are sold.

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Answer: 102

Step-by-step explanation:

Answer: -6

Step-by-step explanation:

It's going by 3s so the second negative number would follow as this:

24, 21, 18, 15, 12, 9, 6, 3, 0, -3, -6

1,662,209 is the answer. You just have to add them all up

Answer:

It's 1662209.

Step-by-step explanation:

just add them

The remainder when the polynomial is divided by x + 1 is 2

Given the function P(x)=3x^4 −2x^3 +2x^2 −1, to get the rmainder if the polynomial is divided by x + 1, we will substitute x = - 1 into the function to have:

P(-1) = 3(-1)^4 −2(-1)^3 +2(-1)^2 −1

P(-1) = 3(1) - 2 + 2(1) - 1

P(-1) = 1 + 1

P(-1) = 2

Hence the remainder when the polynomial is divided by x + 1 is 2

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Answer:

6

Step-by-step explanation:

:)

Answer:

75/200

Step-by-step explanation:

You can also simplify this.

Answer:

Use calculator

Step-by-step explanation:

Answer:

your grade would improve by a lot and if im not mistaken the resulting percentage would probably be between 80%-90%

Step-by-step explanation:

Answer:

(-1,1)

Step-by-step explanation:

To find where both lines intersect, solve for x and y with substitution.

Equation 1.

-8x+3y=11

Equation 2.

y=3x+4

Substitute y from equation 2 into equation 1.

-8x+3(3x+4)=11

-8x+9x+12=11

x=-1

Now plug x into the second equation to solve for y.

y=3(-1)+4

y=-3+4

y=1

Both lines intersect at (-1,1)

Answer:

  (-1, 1)

Step-by-step explanation:

It's somewhat difficult to find the point of intersection when graphing these by hand, but a graphing calculator can show it easily.

The lines intersect at (-1, 1).

__

You are given an expression for y, which makes it easy to use substitution as a solution method. Using the second equation to substitute for y in the first equation, we get ...

  -8x +3(3x +4) = 11

  x +12 = 11 . . . . simplify

  x = -1 . . . . . . . subtract 12

Substituting back into the second equation, we find y to be ...

  y = 3(-1) +4 = 1

The lines intersect at (x, y) = (-1, 1).

_____

Additional comment

The slopes are 8/3 and 3. When hand-drawn lines have nearly the same slope, it is difficult to tell exactly where they intersect. Of course, a graphing calculator does not have the problem of finite line width and an apparent long region of intersection. It can pinpoint the intersection exactly.

Of course, "substitution" is not the only way this system of equations can be solved. However, for this system, it is one of the easiest when doing the solution by hand.

Answer:

Estimate Tip =  $4.50

Step-by-step explanation:

The bill to the nearest $10  is $30.00 :  ( $ 30 ($32.43) $40, it is nearer to $30

Estimate Tip = Bill rounded to the nearest $10  ×  Tip %

Estimate Tip = $30 × 15%

Estimate Tip = $30 × .15                  (15% change to a decimal is .15)

Estimate Tip = $4.50

From the computation done, it can be denoted that the total price that will be paid will be $12.90.

1 Krispy Kosmos at $2.89 = $2.89

2 Chewy Chocos at $3.19 each = 2 × $3.19 = $6.38

1 Gooey Globs at $2.99 = $2.99

Total = $2.89 + $6.38 + $2.99 = $12.26

We'll then add the sales tax of 5.2%, therefore, the total value will be:

= $12.26 + (5.2% × $12.26)

= $12.26 + $0.638

= $12.90

In conclusion, the correct option is $12.90.

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Answer:

C

Step-by-step explanation:

Edg 2022

Answer:

3

Step-by-step explanation:

To solve f(-1), entails to replace x by -1 in the function

f(-1)= (-1)^2 - (-1)+ 1

= 1 + 1 + 1

= 3