Find the line that best fits. Note that values have been rounded.
A) y=0.7x+5.2
B) y=0.7x-5.2
C) y=0.07+5.2
D) y=0.07-5.2

Answer:

[tex]\displaystyle \boxed{ (x - 6)^2 + (y - 2)^2 = 64 }[/tex]

General Formulas and Concepts:
Precalculus

Circle Equation:
[tex]\displaystyle (x - h)^2 + (y - k)^2 = r^2[/tex]

Step-by-step explanation:

Step 1: Define

Identify given.

Center (6, 2)

r = 8

Step 2: Find Equation

∴ we have found the equation for the circle with given properties.

---

Topic: Precalculus

Unit: Conics

The equation of a circle is  [tex]{{x}^{2}}+{{y}^{2}}-12x-4y-24=0[/tex].

A circle is a shape made up of all points in a plane that are at the same distance from a central point.

Equation of the circle [tex]\[{{\left( x-h \right)}^{2}}+{{\left( y-k \right)}^{2}}={{r}^{2}}\][/tex] where (h,k) is the coordination of the center and r is the radius

put the values of h, k and r in the equation of the circle

[tex]{{\left( x-6 \right)}^{2}}+{{\left( y-2 \right)}^{2}}={{8}^{2}}[/tex]

[tex]{{x}^{2}}+{{y}^{2}}+36+4-12x-4y=64[/tex]

[tex]{{x}^{2}}+{{y}^{2}}-12x-4y-24=0[/tex]

therefore, the equation of the circle is[tex]{{x}^{2}}+{{y}^{2}}-12x-4y-24=0[/tex].

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Answer:$3750

Step-by-step explanation:

Answer:

3650

Step-by-step explanation:

apex

Answer:

Do you have a pic of the pie chart, or can you type in the percentages?

Step-by-step explanation:

Answer:

Step-by-step explanation:

sub 3 for x

6(3)-2

=18-2

=16

Answer:

16   i hope this helps!   :)

Step-by-step explanation:

given   x = 3

given   6x - 2

plug in the x value   6(3) - 2

simplify   18 - 2 = 16

answer   16

Answer:

it's answer is D -92

As -57-19-16= -92

Answer:

D)

–92

Step-by-step explanation:

–57 – 19 – 16 =

= - (57 + 19 + 16)

= - (+ 92)

= - 92

Answer:2 weeks

Step-by-step explanation: if you subtract 1800 by 150 for the two weeks you will get 1500 and if you add 1100 by 200 every week you will get a hundred and fifty

The condo will be worth approximately $104,786 in 5 years.

To calculate the future value of the condo, we can use the formula: Future Value = Present Value * (1 + Interest Rate)^Number of Years. Given that the condo was bought for $83,000 and will appreciate at a rate of 6% per year, we can substitute these values into the formula to find the future value.

Future Value = $83,000 * (1 + 0.06)^5 = $104,785.81.

Therefore, the condo will be worth approximately $104,786 in 5 years.

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The value of the condo will be approximately $111,073 in 5 years.

To find out how much your condo will be worth in 5 years if it appreciates at 6% per year, you can use the compound interest formula:

Future Value (FV) = Present Value (PV) * (1 + Rate)ᵗᶦᵐ

Here:

Plug the values into the formula:

FV = 83,000 * (1 + 0.06)⁵

First, calculate the growth factor:

(1 + 0.06) = 1.06

Next, raise the growth factor to the power of 5:

1.06⁵ = 1.3382

Finally, multiply this result by the present value:

83,000 * 1.3382 = $111,073.

Answer: if i can be brainliest that would be great

Bacteria growth occurs exponentially; bacteria divides into 2 every t minutes (similar to the penny doubling every day story). If one gets filled, and the contents divides once, there will be enough for 2 bottles; when these two are ready to divide, there will be enough for 4. This growth process begins very slowly - 1, 2, 4, 8, 16, 32; but it soon speeds up greatly, 64, 128, 256, 512, 1024, 2048.

Answer:

The bacteria took more time to double from 1 cell to a bottle full of cells. Once the bottle was full, each cell in the full bottle doubled, causing an additional bottle to be filled in 5 minutes. Then the 2 full bottles doubled in the next 5 minutes, causing all 3 bottles to be full.

Step-by-step explanation:

Answer:

1/8

Step-by-step explanation:

1/2 of 1/4 is 1/8

Answer:

Step-by-step explanation:

hello :

1-x² = (1-x)(1+x) by identity : a²-b²=(a-b)(a+b)

The number 123 because it is the only number that is not divisible by 9.

In a positional numeral system, a numerical digit is a single sign that can be used singly or in combination to represent numbers.

A digit is a part of a set that, when combined, makes up a numeration system.

For example 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 are digits.

Given the digits,

36, 99, 9, 123

If we divide by 9 then

36/9 ⇒ remainder 0

99-9⇒ remainder 0

9 ⇒ remainder 0

But

123/9 ⇒ remainder 6

Hence "The number 123 because it is the only number that is not divisible by 9".

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Answer:Function3

Step-by-step explanation:

Answer:

x = 35

Step-by-step explanation:

Solve for x:

5 (x + 20) = 7 x + 30

Expand out terms of the left hand side:

5 x + 100 = 7 x + 30

Subtract 7 x from both sides:

(5 x - 7 x) + 100 = (7 x - 7 x) + 30

5 x - 7 x = -2 x:

-2 x + 100 = (7 x - 7 x) + 30

7 x - 7 x = 0:

100 - 2 x = 30

Subtract 100 from both sides:

(100 - 100) - 2 x = 30 - 100

100 - 100 = 0:

-2 x = 30 - 100

30 - 100 = -70:

-2 x = -70

Divide both sides of -2 x = -70 by -2:

(-2 x)/(-2) = (-70)/(-2)

(-2)/(-2) = 1:

x = (-70)/(-2)

The gcd of -70 and -2 is -2, so (-70)/(-2) = (-2×35)/(-2×1) = (-2)/(-2)×35 = 35:

Answer: x = 35

Answer:

x =  35

Step-by-step explanation:

5(x+20)= 7x+30

5x + 100 = 7x + 30

-30                   -30

5x + 70 = 7x

-5x          -5x

70 = 2x

/2      /2

35 = x

Answer:

-21.

Step-by-step explanation:

x^2 + 4x - 21 = 0

To factor this we need 2 numbers whose sum id + 4 and whose produce is -21.

These are  - 3 and + 7 , so the factors are:

(x - 3)(x + & = 0

x = 3, -7.

Final answer:

The product of the solutions for the quadratic equation x² + 4x - 21 = 0 is -21, as per Vieta's formulas, which states that the product is c/a.

Explanation:

The question is asking for the product of the solutions of a quadratic equation, specifically x² + 4x - 21 = 0. In the context of the quadratic formula, a = 1, b = 4, and c = -21. The quadratic formula is given by x = [-b ± √(b² - 4ac)] / (2a). However, to find the product of the roots, we can apply Vieta's formulas, which states that the product of the roots of a quadratic ax² + bx + c = 0 is c/a.

For the equation in question, the product of the roots would be c/a = (-21)/1 = -21. This is a straightforward application of a standard property of quadratic equations. Therefore, we don't need to find the individual roots to answer the question about their product, saving time and effort.

Answer:1cm?

Step-by-step explanation:

Answer:

8.86 square cm

Step-by-step explanation:

Area of shaded region = Area of rectangle - Area of circle

[tex] = 3 \times 4 - \pi {r}^{2} \\ = 12 - 3.14 \times {1}^{2} \\ = 12 - 3.14 \\ = 8.86 \: {cm}^{2} [/tex]

Answer:

See the image below.

Step-by-step explanation:

The decimals 0.43 and 0.39 are equivalent to  43/100 and 39/100. These decimals lie between 0 and 1.

Draw a number line, mark off and label the multiples of 0.10(e.g 0.10, 0.20) in the interval 0-1.  

Mark 0.43 between 0.4 and 0.5, a little closer to 0.4.

Mark 0.39 between 0.3 and 0.4, just behind 0.4.

Since 0.39 is smaller than 0.43( 0.39 lies on the left to 0.43), the inequality is:

              0.39<0.43

Answer:

1/4

Step-by-step explanation:

If you have four colors on the spinner and you want to land on the green spot and there is 1/4 chances

Answer:

2 gallons

Step-by-step explanation:

2 gallons of paint

Explanation:

If 3/4 of a gallon covers 2/5 of a wall, this means that a half of 3/4 gallons can cover 1/5 of a wall.

By knowing this, you can just make up your own expression

(the trick is to find a way to break it down to one, so you can multiply and manipulate it to save yourself some brain cells)

15

+

15

+

15

+

15

+

15

= whole wall

if

342

=

38

= amount of paint to cover 1/5 wall

then

(38)⋅5

=

38

+

38

+

38

+

38

+

38

=

158

≈

1.875

since we're talking about real life it would be 2 gallons of paint instead of 1.875 gallons to paint the whole wall

Hope this helps!

Answer:

y=-5x+35

Step-by-step explanation:

Use the formula y = mx + b

m = slope, so plug in -5 as the slope

To find x-intercept we set y=0

We want the x-intercept to be 7 so we can plug that into the equation too

0=-5(7)+b

Lastly solve for b and you get your answer

The correct option is b.

The equation of the line with a slope of -5 and an x-intercept of 7 is y = -5x + 35.

The equation that represents a line with a slope of -5 and an x-intercept of 7 is y = mx + b, where m is the slope and b is the y-intercept.

Given that the slope is -5 and the x-intercept is 7, we can substitute these values into the equation to get y = -5x + b.

To find the value of b, we can substitute the x-intercept (7) and y-intercept (0) into the equation and solve for b. Plugging these values in, we get 0 = -5(7) + b. Solving for b gives us b = 35.

Therefore, the equation of the line is y = -5x + 35.

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The complete question is given below:

Which equation represents a line that has a slope of -5 and an X- intercept of 7?

a. y = 5x + 35

b. y = -5x + 35

c. y = -5x - 35

d. y = 35x -5

Answer:

A. (x+4) (2x+3)

Step-by-step explanation:

if i can get brainliest that would be great

Answer: The answer is B. Because she can't go over 146. $10 is a one time fee and she pays $9 per classes.

Answer:

a

Step-by-step explanation:

you must subtract ten from each side to get 136 is less than or equal to 9c then divide by nine to get c=15.111111

Answer:

statement: 2. both pairs of parallel lines are congruent

reason: 2. def. of a parallelogram

and that should be all you need

The volume of the frustum of a regular square pyramid with slant height 6 and square bases of edges 5 and 9 is approximately 284.99 cm³, and the surface area is 274 cm².

To calculate the volume and the surface area (SA) of the frustum of a regular square pyramid with a slant height of 6 and bases with edges of length 5 and 9, we use the following formulas:

First, we need to find the perpendicular height (h) using Pythagorean theorem as the slant height is given.

For base edges of 5 (small square base) and 9 (large square base), the areas are:

The perimeters are:

The lateral surface area (LSA) = (P1 + P2) * 6 / 2 = (20 + 36) * 6 / 2 = 168 cm².

Assuming that the slant height is consistent across the frustum, we find 'h' using the Pythagorean theorem:

Let's denote the difference in the side lengths of the squares as 'd'. Therefore, d = (9 - 5) / 2 = 2.

h² + d² = slant height², so h² = 6² - 2² = 36 - 4 = 32 and h = √32.

Now, we use the volume formula:

V = (√32 / 3) * (25 + 81 + √(25 * 81)) = (5.657 / 3) * (106 + 45) = 5.657 * 50.333 = 284.99 cm³, approximately.

For the surface area:

SA = A1 + A2 + LSA = 25 + 81 + 168 = 274 cm².

Answer:

Ling is 27: X=2 12x + 3 = 27

Step-by-step explanation:

12 times 2= 24 -> 24+3= 27

Answer:

2x - 3y = Z

Step-by-step explanation:

5y + 2z = 2 + 12

Answer:

x = ± 3

Step-by-step explanation:

Given

5x² - 45 = 0 ( divide through by 5 )

x² - 9 = 0 ( add 9 to both sides )

x² = 9 ( take the square root of both sides )

x = ± [tex]\sqrt{9}[/tex] = ± 3

Thus the roots are x = - 3, x = 3

Final answer:

To solve the quadratic equation 5x^2 - 45 = 0, we rearrange it to x^2 - 9 = 0 and find that the roots are x = 3 and x = -3.

Explanation:

To solve the quadratic equation 5x2 − 45 = 0, we first need to rearrange it to the standard form ax2 + bx + c = 0. In this case, the equation is already in the standard form with a=5, b=0, and c=-45. The next step is to isolate the x2 term by dividing the entire equation by 5, which gives us x2 − 9 = 0. This simplifies to (x - 3)(x + 3) = 0 due to the difference of squares. Thus, the two roots are x = 3 and x = -3.