What’s the equation of a circle with a center -3,4 and radius 1

Answer:

16

Step-by-step explanation:

f (x)= -5x+1.

Let x = -3

f(-3) = -5(-3) +1

      =15 +1

     = 16

Answer:

f(- 3) = 16

Step-by-step explanation:

To evaluate f(- 3) substitute x = - 3 into f(x)

f(- 3) = ( - 5 × - 3) + 1 = 15 + 1 = 16

Answer:

18 cm

Step-by-step explanation:

find the hypotenuse using 30, 60, 90 rule then divide it by 2 to find the radius

P.S. posting all of the RSM questions aren't you

Answer:

The radius is 18 cm

Step-by-step explanation:

Given that a right triangle △ABC with right angle C  is inscribed in a circle.

Also, AC = 18 cm, m∠B = 30°

we have to find the radius of this circle.

In ΔABC

[tex]\sinB=\frac{AC}{AB}=\frac{18}{AB}[/tex]

[tex]AB=\frac{18}{\sin 30}=\frac{18}{\frac{1}{2}}=36cm[/tex]

As given right angle i.e angle C is of 90° which is angle formed in the semicircle. Hence, the hypotenuse side must be the diameter of circle.

Diameter=36 cm

[tex]Radius=\frac{1}{2}\times diameter=\frac{1}{2}\times 36=18 cm[/tex]

Answer:

Step-by-step explanation:

[tex]-2(x+3)=-10[/tex]          divide both sides by (-2)

[tex]\dfrac{-2(x+3)}{-2}=\dfrac{-10}{-2}[/tex]

[tex]x+3=5[/tex]            subtract 3 from both sides

[tex]x+3-3=5-3[/tex]

[tex]x=2[/tex]

Answer:

x = 2

Step-by-step explanation:

It is given an expression with variable x

-2(x + 3) = -10​

To find the steps to solving expression

Le expression be,

-2(x + 3) = -10​

-2x + (-2 * 3) = -10

-2x - 6 = -10

-2x = -10 + 6

-2x = -4

2x = 4

x = 4/2 = 2

Therefore x = 2

Answer:

Step-by-step explanation:

Use PEMDAS:

P Parentheses first

E Exponents

MD Multiplication and Division (left-to-right)

AS Addition and Subtraction (left-to-right)

[tex]4^2\times2^3-(14-16)\div2\\\\=16\times8-(-2)\div2\\\\=128+2\div2\\\\=128+1\\\\=129[/tex]

Answer:

Step-by-step explanation:

y = 6x - 1

f(n) = 6n - 1

f(n + 1) = 6(n + 1) - 1 = 6n + 6 - 1 = 6n + 5

f(n + 1) - f(n) = (6n + 5) - (6n - 1) = 6n + 5 - 6n + 1 = 6 = constant

for mean you add every number and divide it by the amount of numbers in the data set

for median you put the numbers in order and find the middle number, if there is no middle get the mean for the two middle numbers

range is basically the lowest and highest number

Answer:

Mean= Average

Median= Middle number after numbers are lined up in order

Mode= Repeated Number

Step-by-step explanation:

Answer:

The missing side length is 27 in

Step-by-step explanation:

see the attached figure

we know that

1 ft= 12 in

step 1

Convert ft to in

2 ft=2*12=24 in

Note ----> the given measure is 13 in instead of 13 ft

step 2

Find the missing side length

The perimeter of a quadrilateral is the sum of its four side lengths

Let

x------> the missing side length

P=x+24+13+15

P=79 in

so

79=x+24+13+15

x=79-52=27 in

The missing side length is 27 in

Answer:

27 in

Step-by-step explanation:

Answer:

Answer choice D, Infinitely many solutions.

Step-by-step explanation:

6x-24=6x-24

When the sign is ≤ or ≥ (less/greater than or equal to), the dot is filled in.

When the sign is < or >, the dot is not filled in and looks like this o

To find out which number line represents the solution set, simplify the inequality and isolate x

[tex]-\frac{1}{2}x\geq4[/tex]    Multiply -2 on both sides to get rid of -1/2

[tex](-2)(-\frac{1}{2}x)\geq4(-2)[/tex]

x ≤ -8       (The sign flips when you multiply/divide a negative number on both sides of the inequality)

so you get x is greater than or equal to -8, so you have a filled in circle on -8, and the arrow should be going to the right since x is greater than -8

answer : second choice / b

we have

-1/2x >_ 4

Solve the inequality

Multiply by both sides-----> remember change inequality sign

x<_ -4(2)

x<_ -8

the solution is the interval-----------> (-∞,-8]

using a graph tool

see the attached figure

the solution is the shaded area:

Answer:

try and plug in number like 15 like and then find the answer that makes the 125

Step-by-step explanation:

Answer:

28/66 or 0.42 or 42%

Step-by-step explanation:

first find a

66-38=a

a=28

Answer:

Step-by-step explanation:

3x + 1 + 5x = 7 + 15 + 7x          combine like terms

(3x + 5x) + 1 = (7 + 15) + 7x

8x + 1 = 22 + 7x             subtract 1 from both sides

8x = 21 + 7x             subtract 7x from both sides

x = 21

Answer:

X= 21

Step-by-step explanation:

First you want to add alike terms which will get you 8x+1=22+7x. Next you want to get your x on one side so I subtracted 7x which you get x+1=22. Last you want to get rid  of your 1 to get x alone so you subtract 1 from both sides and you get x=21.

Answer:

18 in²

Step-by-step explanation:

Given 2 similar figures then

linear ratio = 9 : 12 = 3 : 4

area ratio = 3² : 4² = 9 : 16

let the area of the other figure be x

[tex]\frac{9}{x}[/tex] = [tex]\frac{16}{32}[/tex] [ [tex]\frac{ratio}{corresponding area}[/tex] ]

cross- multiply

16x = 288 ( divide both sides by 16 )

x = 18

Area of other figure is 18 in²

The area of two similar figures is related by the square of the ratio of their corresponding sides. Once you know the ratio of their sides, you can find the area of the second figure by squaring this ratio and multiplying it by the area of the first figure.

To figure out the area of the second figure, first you need to understand the concept of similarity. Two figures are similar if their corresponding sides are proportional. When two figures are similar, the ratio of their areas is the square of the ratio of their corresponding sides. If we let's say the ratio of their corresponding sides are in the ratio 1:R, then the ratio of their areas would be 1:R^2.

Suppose the area of the first figure is A and you're looking for the area of the second figure (let's call it A'). If the sides are in ratio 1:R, then A/A' = (1/R)^2. Or conversely, A' = A * R^2.

Once you find R (the ratio of their corresponding sides), you can find the area of the second figure by multiplying the area of the first figure by R^2.

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Answer:

The area of the hexagon is [tex]1,014\sqrt{3}\ ft^{2}[/tex]

Step-by-step explanation:

we know that

The area of a regular hexagon is equal to

[tex]A=\frac{1}{2}Pa[/tex]

where

P is the perimeter

a is the apothem

Find the length side of the hexagon

Let

b-----> the length side of the hexagon

Remember that

The formula to calculate the length side given the apothem is equal to

[tex]b=\frac{2a}{\sqrt{3}}[/tex]

we have

[tex]a=13\sqrt{3}\ ft[/tex]

substitute

[tex]b=\frac{2(13\sqrt{3})}{\sqrt{3}}[/tex]

[tex]b=26\ ft[/tex]

Find the perimeter P

[tex]P=6b=6(26)=156\ ft[/tex]

Find the area of the hexagon

[tex]A=\frac{1}{2}(156)(13\sqrt{3})=1,014\sqrt{3}\ ft^{2}[/tex]

Answer:

1/8

Step-by-step explanation:

trust me

Answer:

What do you mean "new coordinates"?

Step-by-step explanation:

Sorry just confused.

Answer:

72 ft

Step-by-step explanation:

4 x 4 = 16 ft

4 x 7 = 28

28/2 = 14

14 x 4 = 56 ft

56 + 16 = 72 ft

Answer:

D Buy at a local store where the item’s regular

price is $22.50 and it is on sale for 10% off.

Step-by-step explanation:

The first equation

6x^2 -18x-24=0

-the graph opens up

6(x^2 -3x -4)=0

6(x^2 -3x +9/4-4-9/4)=0

6(x-3/2)-25x6/4=

6(x-3/2)-75/2

-Vertex is at (3/2, -75/2)

-Axis of symmetry is x=3/2

Second equation

3r^2 -16r -12=0

-the graph opens up

...

B. 15ft, 36ft, 39ft

use pythagorean theorem

a²+b²=c²

225+1296=1521

Answer:

i think its the first one but i'm not sure

Step-by-step explanation:

Answer: The slope is  [tex]\frac{-2}{5}[/tex] and the y-intercept is [tex]\frac{-1}{3}[/tex]

Step-by-step explanation:

We know that the intercept form of a linear function is given by :-

[tex]y=mx+c[/tex], where m is the slope of the line and c is the y intercept point.

The slope of a function is given by :-

[tex]m=\dfrac{\text{change in y}}{\text{change in x}}\\\\\\\Rightarrow\ m=\dfrac{\frac{-2}{15}-\frac{-1}{30}}{\frac{-1}{2}-\frac{-3}{4}}\\\\\\\Rightarrow\ m=\dfrac{\frac{-3}{30}}{\frac{1}{4}}=\dfrac{-2}{5}[/tex]

Put the value of m in the general intercept equation , we get

[tex]y=\frac{-2}{5}x+c[/tex]

Put [tex]x=\frac{-1}{2}[/tex] and [tex]y=\frac{-2}{15}[/tex] in it , we get

[tex]\frac{-2}{15}=\frac{-2}{5}\times \frac{-1}{2}+c\\\\\Rightarrow\ c=\frac{-2}{15}\times\frac{5}{1}=\frac{-1}{3}[/tex]

Hence, The slope is  [tex]\frac{-2}{5}[/tex] and the y-intercept is [tex]\frac{-1}{3}[/tex]

[tex]\text{Hey there!}[/tex]

[tex]\text{Find the area of the circle}[/tex]

[tex]\text{r = 6ft}[/tex]

[tex]\text{Use the pi formula to find it\ } (\bf{\pi})[/tex]

[tex]\text{Pi equals 3.14}[/tex]

[tex]\text{A =\ }\pi r^2 \approx \text{3.14}\times (6)^2[/tex]

[tex]\text{6}^2 =6\times6=36[/tex][tex]\text{3.14}\times\text{36 = 113.04}[/tex]

[tex]\approx\text{Which is rounded to 113}[/tex]

[tex]\boxed{\boxed{\text{Answer: A. 113.04 ft}^2}}\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{LoveYourselfFirst:)}[/tex]

If 7 people share 3 cookies, a part of a cookie that each person gets is 3/7 cookies.

In Mathematics and Euclidean Geometry, a unit rate refers to the quantity of material that is equivalent to a single unit of product or quantity.

In this context, the unit rate can be calculated by using the following formula;

Unit rate = Total cookies/Total number of people

Unit rate = 3/7 cookies.

In this context, we can reasonably infer and logically deduce that the unit rate indicates 3/7 cookies per person.

Complete Question:

7 people share 3 cookies, what part of a cookie does each person get?

Answer:

the answer will be the letter W

Step-by-step explanation:

Answer:

W

Step-by-step explanation:

Think about folding the two triangles up in W. You can then fold the outermost rectangles up to form a triangular prism.

Also, notice that the folded figure has two blue triangles and no other picture has two blue triangles besides W.

Answer:

y1 = √x - 3

y2 = √x - 1

Step-by-step explanation:

To quickly solve this problem, we can use a graphing tool or a calculator to plot the equations.

Please see the attached image below, to find more information about the graph s

The equations are:

y1 = √x - 3

y2 = √x - 1

y3 = √(x+1)

y4 = √(3x-3)

Based on the image below, the possible choices would be

the functions

y1 = √x - 3

y2 = √x - 1

Answer:

12. 785.375 in^2

13. 20.666 in.

14. 9cm

Step-by-step explanation:

12. The surface area of a cylinder is given by the surface area of each end plus the surface area of the side:

Surface area = 2 π r^2 + 2 π r h

we know that r = diameter / 2 = 10in/2 = 5in

height = 20 in

Then:

Surface area = 2 π r^2 + 2 π r h =  2 π (5in)^2 + 2 π (5in) (20in) = 785.375 in^2

13. A rectangular prism has 2 ends and 4 sides. Opposite sides have the same area. The surface area is the sum of the areas of all six sides. Then we have:

Area=2b+ph  

where:  

b= area of a base  = 6 in^2

p= perimeter of a base  = 18 in

h= height of the prism

Area = 384 sqrt units

Solving for "h" we have:

Area=2b+ph -> h = (area - 2b)/p = 20.666 in

Then: Area= 20.666 in.

14. We know that the surface area of a cylinder is:

Surface area = 2 π r^2 + 2 π r h

Solving for "h" we have:

h = (Surface area - 2 π r^2)/ 2 π r

Where r = 4cm

Surface area = 326.73 cm^2

h = (Surface area-2πr^2)/2πr=(326.73 cm^2-2π(4cm)^2)/2π(4cm) = 9cm

h =9cm

Answer:

47736

Step-by-step explanation:

First, subtract 0.064 from 1.000.  You should get 0.936.

Second, multiply 51000 by this 0.936:

0.936(51000) = 47736

51000 decreased by 6.4% is 47736.

To find 6.4% of 51000 and then subtract that value from 51000, follow these steps:

First, calculate 6.4% of 51000.

This can be done by converting the percentage to a decimal and then multiplying:

6.4% = 0.064

0.064 × 51000

= 3264

Next, subtract this value from the original number:

51000 - 3264

= 47736

So, 51000 decreased by 6.4% is 47736.

Complete question:

What is the value of 51000 decreased by 6.4%?

Answer:

30.) B

I wasn't able to figure 29 out as some of the tables are cut off.

Hope this helps you out!

Answer:=40

He needs 4 more games because 4*10

Step-by-step explanation:

Gustafo needs to score 16 more goals to reach 40 goals. Since he scores 4 goals per game on average, he will need 4 more games to reach his goal.

To determine the number of games Gustafo needs to reach at least 40 goals, we first have to find out how many goals he still needs to score. Right now, Gustafo has 24 goals. So, 40 (the total number of goals he needs) - 24 (the goals he already has) = 16 goals he still needs to score.

Since Gustafo scores an average of 4 goals per game, we then divide the number of goals he still needs to score by his average goals per game to find out how many games it will take. So, 16 (goals needed) ÷ 4 (average goals per game) = 4 games. Thus, Gustafo needs to play 4 more games to reach at least 40 goals before the season is over.

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Answer:

-17/10 is 1.7 is a rational number

Step-by-step explanation:

In mathematics, a rational number is any number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Since q may be equal to 1, every integer is a rational number. ... Moreover, any repeating or terminating decimal represents a rational number.

Rational numbers are numbers that can be expressed as a fraction with an integer numerator and denominator, where the denominator isn't zero. -17/10 is a rational number because it fits this definition, as -17 is the integer numerator and 10 is the integer denominator.

The number -17/10 refers to a specific type of number known as a rational number. Rational numbers are numbers that can be written as a fraction where both numerator and denominator are integers and the denominator is not zero. Therefore, -17/10 is indeed a rational number because it can be expressed as a fraction as the definition suggests. The numerator is -17 and the denominator is 10, both of which are integers and the denominator is not zero. Thus, when dealing with content-loaded rational numbers like -17/10, you can be confident that you are indeed working with a rational number.

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Answer:

Step 3

Step-by-step explanation:

16-7=9 he just miscalculated this equation

Answer:

Option 3.

Step-by-step explanation:

It is given that Anani used 10 as an anchor to find the difference of 16 and 7.

The correct steps are

Step 1: The phrase "difference of" means subtraction.

Step 2: 16-6 = 10

Step 3: Since 7 is 1 more than 6, 1 more needs to be subtracted

to 10.

16-6-1 = 10-1

Step 4: Therefore, 16 - 7 = 9.

Anani did his first error in step 3.

Therefore, the correct option is 3.