Which of the following statements follows from (x - 3)2 = 7? ox2 +9=7 Ox-3=1 / OX-3 = +49 NEXT QUESTION O ASK FOR HELP

When two figures are similar, the relation or proportion between same measures is the same. So answer is option d.

Supplementary angles sum up to 180 degrees.

Since mZA and mZB are given to be (8x - 27) and (4x + 3) respectively, we need to know the value of x to be able to find

Supplementary angles sum up to 180 degrees.

Since mZA and mZB are given to be (8x - 27) and (4x + 3) respectively, we need to know the value of x to be able to find

Answer:

[tex]y-10=\dfrac{1}{3}(x-9)[/tex]

Step-by-step explanation:

[tex]\boxed{\begin{minipage}{4.4cm}\underline{Slope Formula}\\\\Slope $(m)=\dfrac{y_2-y_1}{x_2-x_1}$\\\\where $(x_1,y_1)$ and $(x_2,y_2)$ \\are two points on the line.\\\end{minipage}}[/tex]

To find the equation of a line that passes through two given points, first find its slope by substituting the given points into the slope formula.

Define the points:

Substitute the points into the slope formula:

[tex]\implies m=\dfrac{9-10}{6-9}=\dfrac{-1}{-3}=\dfrac{1}{3}[/tex]

Therefore, the slope of the line is ¹/₃.

[tex]\boxed{\begin{minipage}{5.8 cm}\underline{Point-slope form of a linear equation}\\\\$y-y_1=m(x-x_1)$\\\\where:\\ \phantom{ww}$\bullet$ $m$ is the slope. \\ \phantom{ww}$\bullet$ $(x_1,y_1)$ is a point on the line.\\\end{minipage}}[/tex]

To find the equation in point-slope form, simply substitute the found slope and one of the given points into the point-slope formula:

[tex]\implies y-10=\dfrac{1}{3}(x-9)[/tex]

Using bisection, the measure of angle ABD is of m<ABD = 50º.

The bisection of an angle is when the angle is divided into two angles of equal measure.

In the context of this problem, we have that the angle BE bisects the angle DBC, hence the measures of these angles are given as follows:

mDBE = mEBC = 2x + 15.

As shown in the diagram, the entire line forms a ray, meaning that the sum of the measures of the angles is of 180º, hence we can solve for x as follows:

2x + 2(2x + 15) = 180º

2x + 4x + 30 = 180º

6x = 150º

x = 150º/6

x = 25º.

Then the measure of angle ABD is found as follows:

m<ABD = 2x = 2(25) = 50º.

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Given the function:

You can rewrite it as follows:

You need to remember that the y-value is zero when the function intersects the x-axis. Then, you need to make it equal to zero, in order to find the x-intercepts:

Solving for "x", you get these two values:

In order to find the vertex, you can follow these steps:

1. Find the x-coordinate of the vertex with this formula:

To find the value of "a" and "b", you need to multiply the binomials of the equation using the FOIL Method. This states that:

Then, in this case, you get:

Add the like terms:

Notice that, in this case:

Then, you can substitute values into the formula and find the x-coordinate of the vertex of the parabola:

2. Substitute that value of "x" into the function and then evaluate, in order to find the y-coordinate of the vertex:

Therefore, the vertex of the parabola is:

Knowing the x-intercepts and the vertex of the parabola, you can graph it.

Hence, the answer is:

B ( 1, 4)

K (4, -3)

We plot the points and after that, calculate their angles, then we measure 270 clockwise to calculate the new points.

The endpoints of the new segment are

B' = (-4.5, 1)

K' = (3, 4)

These are the points of the new segment

Statement Problem: Does the relation in the table represent direct variation, inverse variation, or neither? If it is direct or inverse variation, write an equation to represent the relation. Explain your answer.

Solution;

We observe that as the value of x is increasing, the value of y is decreasing. Hence, it has a feature of an inverse variation.

When two variables are inversely related;

But;

Thus, we have;

Thus, the equation to represent the information is;

The equation to represent the information is;

We have the next information

4 cups of water

1 cup lemon concentrate

in total, we have 5 cups of lemonade

5 ----- 100%

1 ------ x

x is the percentage of lemon concentrate

the percentage of lemon concentrate in the lemonade is 20%

Hello!

Let's call these sides a, b, and c:

• a = 35mm

• b = 53mm

• c = 70mm

To be a triangle, it must satisfy the existence condition of triangles, that is:

Let's check each of them:

Answer:

Yes! There are infinitely many triangles that can be created.

Since the events are independent, we have the following property:

That is, the probability of A is the same as the probability of A given B (since the events are independent, event B does not affect event A).

So, if P(A) = 0.3, therefore P(A|B) is also equal to 0.3.

Answer:

=1.875

Step-by-step explanation:

Add: 1/

2

+ 1/

4

= 1 · 2/

2 · 2

+ 1/

4

= 2/

4

+ 1/

4

= 2 + 1/

4

= 3/

4

It is suitable to adjust both fractions to a common (equal, identical) denominator for adding, subtracting, and comparing fractions. The common denominator you can calculate as the least common multiple of both denominators - LCM(2, 4) = 4. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 2 × 4 = 8. In the following intermediate step, it cannot further simplify the fraction result by canceling.

In other words - one half plus one quarter is three quarters.

Exponentiation:  No. 1 ^ 2 = 3/

4

^ 2 = 32/

42

= 9/

16

In other words - three quarters raised to the power of squared is nine sixteenths.

Multiple: No. 2 * 2 = 9/

16

* 2 = 9 · 2/

16 · 1

= 18/

16

= 9 · 2/

8 · 2

= 9/

8

Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(18, 16) = 2. In the following intermediate step, cancel by a common factor of 2 gives 9/

8

.

In other words - nine sixteenths multiplied by two is nine eighths.

Add: 3/

4

+ the result of step No. 3 = 3/

4

+ 9/

8

= 3 · 2/

4 · 2

+ 9/

8

= 6/

8

+ 9/

8

= 6 + 9/

8

= 15/

8

It is suitable to adjust both fractions to a common (equal, identical) denominator for adding, subtracting, and comparing fractions. The common denominator you can calculate as the least common multiple of both denominators

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

Expression:

5(6 + 4x)

Step 02:

5(6 + 4x)

A.

5 = factor 1

(6 + 4x) = factor 2

B.

5 = factor 1 ( 1 term)

(6 + 4x) = factor 2 (2 terms)

C.

variable term: 4x

coefficient = 4

That is the full solution.

The general form of the equation of a line is:

y=mx+b

Where m is the slope of the line and b is the intercept with the y axis.

Since the intercept is the point where the line intersects the y-axis, if a line goes through the origin, then is intercept equals 0, b = 0, which is the case for the first and last line, then, their equation looks like this:

y=mx

When the slope (m) is a positive number, the line goes up as x increases, when the slope (m) is negative, the line goes down as x increases, then the equation of the first line must be: y=x and y= -x for the last line.

For the second line, we can see that it crosses he axis at y= -3, then its intercept equals -3, that's why the equation of this line is y = x - 3

The rate at which the Brock family drinks milk is 4 gallon per day.

According to the question,

We have the following information:

The Brock family uses 12 gallon jug of milk every 3 days.

Now, in order to find the rate at which they drink milk, we will have to divide the amount of milk by the total number of days.

So, we have the following expression:

Rate at which they drink milk = 12/3 galloon per day

Rate at which they drink milk = 4 galloon per day

Now, this the simplified answer because this is a whole number and we can not solve it further.

Hence, the rate at which they drink milk is 4 galloon per day.

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Answer: The Curved Line on Top

Step-by-step explanation: A positive-valued function of a real variable. So the top one

Just learned about this in Algebra 1 about 4 days ago.

Monthly salary = $1120

Comission percentage = 14%

Janet's sales = $94,100

1. Amount of commission

Multiply the sales amount (94,100) by the Commission percentage in decimal form (divided by 100).

94,100 x (14/100) =

94,100 x 0.14 = $13,174

2. Gross pay

Add the amount of commission and the monthly salary:

13,174+1120 = $14,294

To solve for j'

4j + 2 = h

subtract 2 from both-side of the equation

4j + 2-2 = h -2

4j = h-2

divide both-side of the equation by 4

4j/4 = h-2/4

Answer:

The slope is 5.

Step-by-step explanation:

To solve this, you could have plotted the two points, drew a line between them, and then calculated the slope by counting on the graph the line's rise/run.

To slove this by finding the slope with the points:

(5 - 0) / (0 - - 1) = 5 / 1 = 5

The slope is 5

The ratio between MD and DC IS

The ratio of ON to LN

The ratio CM to CD

The ratio of OL to LN

To make the

The probability of the girl being born to a couple is 0.949. Yes, it is effective in increasing the likelihood that the baby will be a girl as the number of girls is more than the number of boys.

What is probability?

Probability means possibility. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.

Given

In a test of sex-selection technique, results consisted of 284 female babies and 15 baby boys.

Total children = 284 + 15 = 299

The probability of the girl being born to a couple will be

[tex]P = \frac{284}{299}[/tex]

P = 0.9498

Thus, the probability of the girl being born to a couple is 0.9498.

Yes, it is effective in increasing the likelihood that the baby will be a girl as the number of girls is more than the number of boys.

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Answer:

Step-by-step explanation:

22.57 cm inches are the net weight of the slope

The triangles KMP and AYC, are congruent angles, because we are told that:

Thus, to find our answers we compare both triangles.

a) KM is approximately equal to AC.

That is because, as we can see in the following image, they are corresponding sides:

b) CY is approximately equal to MP.

That is because they are corresponding sides, they are the short side of each triangle. And since the triangles are equal, CY and MP are also equal:

c) for the same reasons as the previous two, PK anf AY, are corresponding sides:

d) and e)

The corresponding angles of Y and K are represented in the following image:

rrespon

Give the radius of a circle, r, we can find its area by using:

In the picture, the 30 ft segment passes from on side of the circle to the other passing thourhg tht center, so it is the diameter. The radius is half the diameter, so:

Now, we can use the formula for the area to find it:

So, the area is approximately 706.9 ft².

Answer:

6 +2v

Step-by-step explanation:

This is distributive property. That means you will multiply each term inside the parentheses by the term on the outside of the parentheses.

2(3 + v)

2(3) + 2(v)

6 +2v

Given that the triangles are similar, then their corresponding sides are in proportion, that is,

Substituting with data and solving for BX:

Given the modulus function expressed as:

Since the function is a modulus function, the dependent variables "y" will all be a positive value

Using the values of x to be -5, 8, and 13 to determine the ordered pairs

When x = -5

y = |-5 - 8|

y = |-13|

y = 13

The first ordered pair will be (-5, 13)

If x = 8

y = |8 - 8|

y = |0|

y = 0

The second ordered pair will be (8, 0)

If x = 13

y = |13 - 8|

y = |5|

y = 5

The third ordered pair will be at (13, 5)

The graph of the function is as shown below:

Answer:

The answer will be D because you have to look very close and make sure the 1 is on the x-intercept and not the y-intercept.

Answer is the first option, a reflection over the y-axis

The equation of the population function is is P = 224(1.17)ⁿ

From the question, the given parameters are:

The above parameters imply that the rate of change of the population every year is

Rate = Population after one year/Initial population

Substitute the known values in the above equation

So, we have

Rate = 263/224

Evaluate the quotient

Rate = 1.17

The exponential function can be represented as

P = Initial population * (Rate)ⁿ

So, we have

P = 224(1.17)ⁿ

Hence, the complete equation is P = 224(1.17)ⁿ

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The required rate of the increase in the population is 17% and the equation is fulfilled as P = 224 (1.17)ⁿ.

As per the question, the population of the 2 years are given as 224 and the preceding year's population is 263 and equation is illustrated the exponential growth is given as P = 224(__)ⁿ. The blank space in the equation is to be filled.

The function which is in format f(x) =aˣ where a is constant and x is variable,  the domain of this exponential function lies   (-∞, ∞).

Here,
The given function of the population is incomplete as rate of growth is missing, So,
The rate is given as,
Rate = 263 - 224 / 224
Rate = 0.17 or 17%
Growth  = 1 + 0.17 = 1.17
now, put this growth rate in the blank space.
So,
P =  224 (1.17)ⁿ

Thus, the required rate of the increase in the population is 17% and the equation is fulfilled as P = 224 (1.17)ⁿ.

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