What is the slope of the line whose equation is y-4=(x-2)?
6
4
(2,4)
3-
or
to
of
the
(0,-1)
3 4 5 6
X

y² + 2y - 15 = 0

y² + 5y - 3y - 15 = 0

y(y + 5) - 3(y + 5) = 0

(y + 5) (y - 3) = 0

taking (y + 5) = 0 => y = -5

now taking (y - 3) = 0 => y = 3

So, the required factors of the given equation are -5 and 3

In this exercise we have to factor the equation given in the statement, so we have to:

The factors of the given equation are -5 and 3.

So from the given equation we have that:

\(y^2 + 2y - 15 = 0\\y^2 + 5y - 3y - 15 = 0\\y(y + 5) - 3(y + 5) = 0\\(y + 5) (y - 3) = 0\)

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The expression used to represent the area of the triangle is

1/2 * (6x^2 + 13x + 6). The solution has been obtained by using the formula for right-angled triangle.

What is a right-angled triangle?

A triangle is said to be right-angled if one of its angles is 90 degrees. The other two angles add up to 90 degrees. The base of the triangle and perpendicular sides make up the right angle. The hypotenuse, the third side, is the longest of the three sides.

We are given that the base of a right triangle is represented by the expression 3x + 2. and the height of the right triangle is represented by 2x + 3.

We know that area of triangle = 1/2 * base * height

So,

⇒Area = 1/2 * (3x+2) * (2x+3)

⇒Area = 1/2 * (6x^2 + 9x + 4x + 6)

⇒Area = 1/2 * (6x^2 + 13x + 6)

Hence, the expression used to represent the area of the triangle is

1/2 * (6x^2 + 13x + 6).

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Answer:

(5,1)

Step-by-step explanation:

A function is a set of ordered pairs in which no two different ordered pairs have the same x -coordinate. An equation that produces such a set of ordered pairs defines a function.

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The probability that the proportion of overweight or obese children in the sample will be greater than 0.57 is less than 50%.

The first paragraph summarizes the answer, stating that the probability is less than 50% because 0.57 is less than the population proportion of 0.60, and the sampling distribution is approximately normal.

In the second paragraph, we can explain the reasoning behind this conclusion. The Central Limit Theorem states that for a large sample size, the sampling distribution of the sample proportion will be approximately normal, regardless of the shape of the population distribution. In this case, the sample was taken in a way that meets the conditions for using the Central Limit Theorem.

Since the population proportion of overweight or obese children is 0.60, any sample proportion below this value is more likely to occur. Therefore, the probability of obtaining a sample proportion greater than 0.57 would be less than 50%. This is because the resulting z-score, which measures how many standard deviations the sample proportion is away from the population proportion, would be negative.

To summarize, the probability of the proportion of overweight or obese children in the sample being greater than 0.57 is less than 50% because 0.57 is less than the population proportion of 0.60, and the sampling distribution is approximately normal.

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Answer:

x = 2

Step-by-step explanation:

Answer:

I think its 95. I'm probably wrong

Answer:

Step-by-step explanation:

3x + -3x - 4y = 8 - 3x

-4y = 8 - 3x

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

        -4

y = 8/-4 + 3/4 x

y = -2 + 3/4x

Answer:

y= -x+ -8/3

Step-by-step explanation:

Let's solve for y.

Step 1: Add 3x to both sides.

Step 2: Divide both sides by -3.

49 is the amount that would need to be added in order to "complete the square".

Given the quadratic equation below:

x² + 14x + 3=0

In order to complete the square, we will add the square of the half of the coefficient of x to both sides.

Coefficient of x = 14

Half of coefficient of x = 14/2 = 7

Square of the half of coefficient of x = 7²

Square of the half of coefficient of x = 49

Hence the number that would have to be added to "complete the square" is 49.

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Answer: y = 3x + 2

Step-by-step explanation:

we can start the equation as

y = 3x + b

To find b we plug in the points on the equation we already have

5 = 3(1) + b

5 = 3 + b

-3  -3

2 = b

Since b equals 2, the equation will be

y = 3x + 2

Answer:

y - 5 = 3 ( x - 1 )   or   y = 3x + 2

Step-by-step explanation:

Answer:

mag try sa chrome

Step-by-step explanation:

thank you

hope it's help

Answer:

7t-14

Step-by-step explanation:

you have to distribute the 7 into the t and 2 and take the -with the 2

Answer:

Step-by-step explanation:

plug in a 0 for y and simplify the equation

because 0*(constant of y)=0, so

x*(constant of x)=something, so

something/(constant of x)=x

ans is (x, 0)

The quadratic-like polynomial x⁶ + 8 has no real roots, that is, it has two complex roots. (Correct choice: B)

In this problem we must determine what polynomial has no real roots. From real algebra we remember that any polynomial of the form x²ⁿ + a², where a is a positive real number, has no real numbers. That is, the factor form of the polynomial is shown below:

(xⁿ + i a) · (xⁿ - i a)

In other words, any polynomial of the form x²ⁿ + a², a > 0, has two complex roots. Now, by direct comparison, we conclude that polynomial x⁶ + 8 has no real roots.

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Answer: 42$

Step-by-step explanation: 35.00+20%=42$

Answer:

NULL ; TRUE

Step-by-step explanation:

The sampling distribution is on the assumption that the null hypothesis is true .

The null hypothesis is a general statement that states that there

is no relationship between two phenomenon's under

consideration or that there is no association between two groups.

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The sampling distribution is based on the assumption that the null hypothesis is TRUE.  

A null hypothesis is a general statement that something is. There is no relationship between the two phenomena under or consider that there is no relationship between the two groups.  

The sampling distribution is based on the assumption that the null hypothesis is TRUE.

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Given, Height of the cliff = 20 m Distance of the car from the foot of the cliff = 10 m.

The time taken by the car to fall from the cliff can be found using the formula:

\(`h = (1/2) g t^2`\)

Where h is the height of the cliff, g is the acceleration due to gravity and t is the time taken by the car to fall from the cliff.

Substituting the given values,`20 = (1/2) × 9.8 × t^2`

Solving for t, `t = sqrt(20/4.9)` = 2.02 s

Let the initial velocity of the car be V0 and the time taken for the car to come to rest after applying brakes be t1.

Distance covered by the car before coming to rest can be found using the formula: `\(s = V0t1 + (1/2) (-5) t1^2\)`

Where s is the distance covered by the car before coming to rest.

Simplifying the above equation,\(`2.5 = V0 t1 - (5/2) t1^2`\)

Substituting the given values,`5 = V0 - 5 t1`

Solving the above two equations,\(`V0 = 32.5/2 t1`\)

Simplifying the above equation,`V0 = 16.25 t1`

Substituting the value o\(f t1,`V0 = 16.25 × 2` = 32.5 m/s\)

Therefore, the speed of the car before the start of braking is 32.5 m/s.

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Answer: The correct answer is 14.

Step-by-step explanation: We have X and Y together, multiply that and get 10. Then we add Z which is 4 and it gets you 14.

Answer:

3. D

4. C

5. I don't know sorry

Step-by-step explanation:

The mean of the data set can be used because it is not easily affected by extreme values.

A measure of central tendency is a measure that tries to describe an entire data set by using the central value of the data.

Mean is often used as a measure of central tendency when dealing with a large data such as tourism in the city because it is not easily affected by extreme values.

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The measure of arc BC is 720 times the measure of angle BAC.

Given that AC is the diameter of the circle and AB is a chord with a length of 16 units, we need to find BC (the length of the other chord) and mBC (the measure of angle BAC).

To find BC, we can use the property of chords in a circle. If two chords intersect within a circle, the products of their segments are equal. In this case, since AB = BC = 16 units, the product of their segments will be:

AB * BC = AC * CE

16 * BC = 2 * r * CE (AC is the diameter, so its length is twice the radius)

Since the area of the circle is given as 289 square units, we can find the radius (r) using the formula for the area of a circle:

Area = π * r^2

289 = π * r^2

r^2 = 289 / π

r = √(289 / π)

Now, we can substitute the known values into the equation for the product of the segments:

16 * BC = 2 * √(289 / π) * CEBC = (√(289 / π) * CE) / 8

To find mBC, we can use the properties of angles in a circle. The angle subtended by an arc at the center of a circle is double the angle subtended by the same arc at any point on the circumference. Since AC is a diameter, angle BAC is a right angle. Therefore, mBC will be half the measure of the arc BC.

mBC = 0.5 * m(arc BC)

To find the measure of the arc BC, we need to find its length. The length of an arc is determined by the ratio of the arc angle to the total angle of the circle (360 degrees). Since mBC is half the arc angle, we can write:

arc BC = (mBC / 0.5) * 360

arc BC = 720 * mBC

Therefore, the length of the arc BC equals 720 times the length of the angle BAC.

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Answer:

132/100, or 1.32

Step-by-step explanation:

Just change 13/10 to 130/100 and add 2/100 to make it 132/100, or 1.32 :)

1) Since the value of y varies directly with x, we can write

y=kx Plugging into that

-8 = k(4)

-8 = 4k Divide both sides by 4

k =-2

2) When x = -4 then we can find y by plugging into that

y = kx

y = (-2)(-4)

y = 8

3) Hence, the answer is 8

Answer:

x ≈ 1051.368672

Step-by-step explanation for #3:

\(tan(\frac{x}{12}) =24\)          Use tangent function because it relates to the opposite and adjacent sides of the triangle.

\(tan^{-1}(tan(\frac{x}{12}))=tan^{-1}(24)\)

\(\frac{x}{12} = tan^{-1}(24)\)

\(x = 12[tan^{-1}(24)]\)

x ≈ 1051.368672

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Answer:

-1

Step-by-step explanation:

Take the two points

(-2,4) and (4,-2)

And we can find the  slope

m = (y2-y1)/(x2-x1)

   = (-2-4)/( 4 - -2)

   =(-2-4)/(4+2)

   = -6/6

   = -1

The result of Multiplying 138.2 km by 3.5 km is 483.7 km².

To perform the indicated calculation, we need to multiply 138.2 km by 3.5 km.138.2 km x 3.5 km = 483.7 km²

The result of multiplying 138.2 km by 3.5 km is 483.7 km².

When dealing with significant figures, we should consider the least precise measurement involved in the calculation, which in this case is 3.5 km (with two significant figures). Therefore, we should round the answer to the same number of significant figures, resulting in 480 km².

So, rounding according to the rules for significant figures, the result of the calculation 138.2 km x 3.5 km is approximately 480 km².

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Answer:

Step1

First look at the value for 4 and then rest numbers 1234

Step2

4 is Unit 3 is Tens 2 is Hundred and 1 is Thousand

Step3

So in the question 4 is Unit 8 is Tens 7 is Hundred and 4 is thousand

The least square regression line implies a mathematical equation that models the relationship between the dependent and independent variables. Hence, it may be used to predict a value of y if the corresponding x value is given. The least square regression line also called the best fit line, gives a mathematical relationship between variables in slope-intercept form.The predicted value of y or x if the corresponding value of either variable is given.

what is regression?

A statistical method called regression links a dependent variable to one or more independent (explanatory) variables. A regression model can demonstrate whether changes in one or more of the explanatory variables are related to changes in the dependent variable.

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