Help please!!!!! ill give brainliest

Answer:

(x + 4)^2 + (y + 7)^2 = 36

Step-by-step explanation:

The given information describes a circle with its center at (-4, -7) and tangent to the vertical line x = 2. To determine the radius of the circle, we need to find the distance between the center and the tangent line.

The distance between a point (x1, y1) and a line Ax + By + C = 0 is given by:

d = |Ax1 + By1 + C| / sqrt(A^2 + B^2)

In this case, the equation of the line is x = 2, which can be written as 1x + 0y - 2 = 0. Therefore, A = 1, B = 0, and C = -2. The center of the circle is (-4, -7), so x1 = -4 and y1 = -7. Substituting these values into the formula, we get:

d = |1*(-4) + 0*(-7) - 2| / sqrt(1^2 + 0^2)

d = |-6| / sqrt(1)

d = 6

Therefore, the radius of the circle is 6 units. The equation of a circle with center (h,k) and radius r is given by:

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

Substituting the values we have found, we get:

(x + 4)^2 + (y + 7)^2 = 36

This is the equation of the circle that satisfies the given conditions.

The probability that a randomly selected point within the square falls in the red shaded square is 1/16

A probability is a number that reflects the chance or likelihood that a particular event will occur. The certainty of an event to occur is 1 and it is 100% in percentage.

Probability = sample space /total outcome

sample space is the area of the red shaded square and the total outcome is the big square.

Area of red shaded square = 1 × 1 = 1unit²

area of the big square = 4 × 4 = 16 units²

Therefore the probability that a point selected falls on the red shaded square

= 1/16

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Answer:

3.8

Step-by-step explanation:

.8 is in the tenths

Answer: Circle

Solve for area

A≈17.9

C Circumference

15

d

r

r

r

d

d

C

A

Using the formulas

A=πr2

C=2πr

Solving forA

A=C2

4π=152

4·π≈17.90493

Step-by-step explanation:

Answer:

x=13

y=32

Step-by-step explanation:

x+y=45

x+19=y

45-y+19=y

2y=64

y=32

x=13

Answer: The other number is 19 more than that number represented by x + 19

Equation: x + (x + 19) = 45

The numbers are 13 and 32

Step-by-step explanation:

So we know that the sum is 45, and that one of the numbers in the equation is 19 more than the other. We can call one of the numbers "x". The instructions tell us that the second number is 19 more than x, so the second number can be written as this equation: x+19

Equation: x + (x + 19) = 45

2x + 19 = 45

2x = 26

x = 13

Plug x back into the equation to find the second number (x + 19)

x + 19

13 + 19 = 32

The required coefficients are:4, -1, -11, and 7.

Coefficients refer to the numerical values that are assigned to variables in mathematical equations, models, or formulas. They indicate the relative importance or contribution of each variable in the equation. Coefficients are used to determine the relationship between variables and are often estimated through statistical analysis or optimization techniques.

In algebraic equations, coefficients are the numbers multiplied by variables. For example, in the equation 2x + 3y = 5, the coefficients are 2 and 3.

In statistical models, such as linear regression, coefficients represent the slopes or weights assigned to the predictor variables. These coefficients indicate how much the response variable is expected to change for a unit change in the corresponding predictor variable, assuming all other variables are held constant.

We need to consider the polynomial:

(4mn^2n - 2mn + 6) + (6mn^2 - 1) - (mn^2 - 2 + 9mn)

To combine the like terms and find the coefficients of each term, we can write the polynomial in the following form:

4mn^2n - 2mn + 6 + 6mn^2 - 1 - mn^2 + 2 - 9mn

Taking the coefficients of the terms with "mn^2"4mn^2n - mn^2

Taking the coefficients of the terms with "mn"-2mn - 9mn = -11mn

Taking the coefficients of the constant terms6 + 2 - 1 = 7

Therefore, the required coefficients are:4, -1, -11, and 7.

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Answer:

1. WX = WY;WV =WZ

2. substitution property

3. SAS similarity theorem

Step-by-step explanation:

Complete steps of the proof are,

4) WX = WY

6) By definition of congruency, Put WZ = WV

9) By SAS congruency.

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

We have to given that;

Triangle WXY is isosceles with legs WX and WY

And, Triangle WVZ is isosceles with legs WV and WZ.

Now, For the proof of the ΔWXY – ΔWVZ;

The complete sentence of the table are,

4) WX = WY

6) By definition of congruency, Put WZ = WV

9) By SAS congruency.

Thus, Complete steps of the proof are,

4) WX = WY

6) By definition of congruency, Put WZ = WV

9) By SAS congruency.

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For the graphed function:

The domain is [-3, 3]

The range is [-3, -3]

For a function y = f(x), we define the domain as the set of the inputs and the range as the set of the outputs.

To identify the domain we need to look at the horizontal axis, we can see that the minimum value is at x = -3 and the maximum value is at x = 3, then the domain is: [-3, 3]

In the case of the range we have a single value (because the line is an horizontal line at y = -3) then the range is just R: {-3}

Or [-3, -3]

In interval notation.

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If Leila makes a dot plot of the heights of the girls in her class to the nearest ¹/₂ inch, the number of different heights that will include on the number line is 5.

A dot plot is a data visualization tool that consists of data points plotted as dots on a graph with an x- and y-axis.

The number of dots plotted on each number line shows the frequency of the data group.

Height    Frequency   Cumulative Frequency

56¹/₂             2                               2

57                 2                               4

57¹/₂             2                               6

58                2                               8

58¹/₂             1                               9

Thus, arranging the heights according to groups, the different heights on the number line can be classified into 5.

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Answer:

number is 5

Step-by-step explanation:

let the number be n, then

30 subtracted from 14 times the number is

14n - 30

the result is 20 more than 4 times the number, that is

4n + 20

the equation is then

14n - 30 = 4n + 20 ( subtract 4n from both sides )

10n - 30 = 20 ( add 30 to both sides )

10n = 50 ( divide both sides by 10 )

n = 5

the number is then 5

The required distance between the points  (−1,6) and (−1,7). is 1 unit.

Given that,
using the distance formula to evaluate the distance between the points  (−1,6) and (−1,7).

Distance is defined as the object traveling at a particular speed in time from one point to another.

Here,
The distance formula is given as,
D = √[[x₂ - x₁]² + [y₂+ - y₁]²]
Substitute the values in the above equation,
D = √[[-1 + 1]² + [7 - 6]²]
D = √[0 + 1]
D = 1

Thus, the required distance between the points  (−1,6) and (−1,7). is 1 unit.

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53 + (-26 )

\( \: \: \: \: \: \: \: \: \: \purple{ \boxed{ \boxed{ \huge{ \tt{ \: 37 \: }}}}}\)

Answer: 70%

Step-by-step explanation:

0.7
----- x 100% = 70%

 1

Answer:

70%

Step-by-step explanation:

When turning a decimal into a percent always bring the decimal point two places to the right.

0.7.0.

070%

70%

Answer:B

Step-by-step explanation:

Answer:

Step-by-step explanation:

Radius of semicircle = 2 ft

Area of semicircle = 0.5πr² = 0.5π2² = 6.28 sq ft

Area of rectangle = 10 × 4 = 40 sq ft

Total area = 46.28 sq ft

Answer:

46.28

Step-by-step explanation:

Answer:

− 4

Step-by-step explanation:

The mean of a set of numbers is the sum divided by the number of terms.

After 10 years the depreciation value of the vehicle will be $12700.

What is percentage(%)?

A %(percentage) is a number that indicates how many out of 100 it is, and it can also be expressed as a decimal or a fraction. Put the percentage value in the numerator and 100 in the denominator to convert a percentage to a fraction.

\(V(t) = V0*(1-rate)^t\)

V(t) is the value at year t (we want t =10 years)

V0 is the starting value = $20,700

rate is the depreciation rate expressed as a decimal = 0.05

t = years = 10

\(V(10) = $20700*(1 - 0.05)^{10}\)

= 20700*(0.95)^10

= 20700*(0.598)

= 12,393.85

= 12,394

therefore after 10 years the vehicle will cost $12700.

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Answer:

---------------------------------

The sum of the measures of the angles of a triangle is 180:

The sum of the measures of the second and third angles is nine times the measure of the first angle:

The third angle is 26 more than the second:

Substitute the second equation into first:

Solve for x:

Substitute the value of x into second and solve for y:

Solve the third equation for y:

Compare the last two equations and find the value of z:

Find the value of y:

Answer:

x = 18°

y = 68°

z = 94°

Step-by-step explanation:

Define the variables:

Given information:

Create three equations from the given information:

\(\begin{cases}x+y+z=180\\\;\;\;\;\;\:\: y+z=9x\\\;\;\;\;\;\;\;\;\;\;\;\;\: z=26+y\end{cases}\)

Substitute the third equation into the second equation and solve for x:

\(\implies y+(26+y)=9x\)

\(\implies 2y+26=9x\)

\(\implies x=\dfrac{2y+26}{9}\)

Substitute the expression for x and the third equation into the first equation and solve for y:

\(\implies \dfrac{2y+26}{9}+y+26+y=180\)

\(\implies \dfrac{2y+26}{9}+2y=154\)

\(\implies \dfrac{2y+26}{9}+\dfrac{18y}{9}=154\)

\(\implies \dfrac{2y+26+18y}{9}=154\)

\(\implies \dfrac{20y+26}{9}=154\)

\(\implies 20y+26=1386\)

\(\implies 20y=1360\)

\(\implies y=68\)

Substitute the found value of y into the third equation and solve for z:

\(\implies z=26+68\)

\(\implies z=94\)

Substitute the found values of y and z into the first equation and solve for x:

\(\implies x+68+94=180\)

\(\implies x=18\)

Answer:

9 and 11

Step-by-step explanation:

thats all you need to know

Mr.West ate 23 ounces of grapes in 11 days by eating 2 1/11 ounces of grapes each day.

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

Given, Mr.West ate grapes for 11 days. He ate 2 1/11 ounces of grapes each day.

Therefore, The total number of grapes Mr.West ate is,

= 11×(2 1/11) grapes.

= 11×(23/11) grapes.

= 23 grapes.
So, He ate 23 ounces of grapes in 11 days.

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Answer:

C

Step-by-step explanation:

\(\text{All other options contain rational numbers, such as} ~\sqrt{36} , \sqrt{25}, \sqrt{16}\)

To solve this problem, we can use the formula for probability:

P(event) = number of favorable outcomes / total number of outcomes

First, let's find the total number of outcomes. We are selecting 4 balls from 11 without replacement, so the total number of outcomes is:

11C4 = (11!)/(4!(11-4)!) = 330

where nCr is the number of combinations of n things taken r at a time.

Now let's find the number of favorable outcomes for each part of the problem.

Part 1: Exactly two white balls and two red balls

To find the number of favorable outcomes for this part, we need to select 2 white balls out of 6 and 2 red balls out of 5. The number of ways to do this is:

6C2 * 5C2 = (6!)/(2!(6-2)!) * (5!)/(2!(5-2)!) = 15 * 10 = 150

So the probability of selecting exactly two white balls and two red balls is:

P(2W2R) = 150/330 = 0.45 (rounded to two decimal places)

Part 2: At least two white balls

To find the number of favorable outcomes for this part, we need to consider two cases: selecting 2 white balls and 2 red balls, or selecting 3 white balls and 1 red ball.

The number of ways to select 2 white balls and 2 red balls is the same as the number of favorable outcomes for Part 1, which is 150.

To find the number of ways to select 3 white balls and 1 red ball, we need to select 3 white balls out of 6 and 1 red ball out of 5. The number of ways to do this is:

6C3 * 5C1 = (6!)/(3!(6-3)!) * (5!)/(1!(5-1)!) = 20 * 5 = 100

So the total number of favorable outcomes for selecting at least two white balls is:

150 + 100 = 250

And the probability of selecting at least two white balls is:

P(at least 2W) = 250/330 = 0.76 (rounded to two decimal places)

Answer: 60

Step-by-step explanation:

If the entire blue length is 100 and one of the parts of that is 64, the other part is 36.

So by the geometric mean theorem, letting the length of the dotted altitude be y,

\(\frac{64}{y}=\frac{y}{36}\\y^{2}=64 * 36 =2304\\y=48\)

So if y=48, by the Pythagorean\(x=\sqrt{48^2 + 36^2}=60\) theorem,

Answer:

20+5

Step-by-step explanation:

Becvause 5 to the second power is 25 and 25 in expanded form is 20+5

HOPE THIS HELPS

Answer:

4x² + 22x - 12

Step-by-step explanation:

A = bh/2

A = (4x - 2)(2x + 12)/2

A = (8x² + 48x - 4x - 24)/2

A = (8x² + 44x - 24)/2

A = 4x² + 22x - 12

Answer:

There were 378 students who chose to study French their freshman year. This means that 72% of the total number of students chose to study French their freshman year. Therefore, the total number of students must be 378 / 0.72 = 527.5. This means that there were 148.5 students who chose not to take French their freshman year.

Step-by-step explanation: