Which quadratic equation is equivalent itto * (x - 4) ^ 2 - (x - 4) - 6 = 0 ?

Answer:

x = 5

Step-by-step explanation:

Given coordinates: (3, 4) (x, 6)

Slope: 1

Use the slope formula to find the value of x:

Slope = y2 - y1 / x2 - x1

Substitute the given information into the formula:

1 = [tex]\frac{6-4}{x-3}[/tex]

1 = [tex]\frac{2}{x-3}[/tex]

Multiply both sides of the equation by the common denominator:

[tex]\frac{2(x-3)}{x-3} = x-3[/tex]

Reduce the fraction:

2 = x - 3

Rearrange variables to the left side of the equation:

-x = -3 - 2

Calculate:

-x = -5

Divide both sides with the coefficient of the variable:

x = 5

hope this helps!! p.s. i really need brainliest :)

Answer:

x = 5

Step-by-step explanation:

Slope formula

[tex]\sf slope=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\sf let\:(x_1,y_1)=(3,4)[/tex]

[tex]\sf let\:(x_2,y_2)=(x,6)[/tex]

[tex]\sf \implies slope=\dfrac{6-4}{x-3}=\dfrac{2}{x-3}[/tex]

As the slope equals 1:

[tex]\begin{aligned}\sf \implies \dfrac{2}{x-3} & =1\\\sf 2 & =\sf x-3\\ \sf 2+3 & =\sf x\\ \sf x & = \sf 5\end{aligned}[/tex]

Therefore, x = 5

Answer:

160

Step-by-step explanation:

72=0.45x

72/0.45=x

x=160

Trees are important to one's health as they produce oxygen and reduce climate change. Also, bees pollinate our crops leading to more crop production and increase in revenue.

It should be noted that health simply means the state of being free from illness or diseases.

In this case, trees are important for one's health as they help in the production of oxygen which are needed by human beings. Bees are also important for the generation of higher profits though the pollination of crops which leads to increase in crop production.

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Answer:

B

Step-by-step explanation:

Answer:

x = -3÷8

or x = -0.375

Explanation:

-6+ -(8x-3)= -6-8x+3

= -8x -3

-8x-3= 0

-8x = 3

8x = -3

x = -3÷8

Answer:

(x² + 14x)/(9x²)

Step-by-step explanation:

To do this calculation process:

The first term: 2x/x² = 2/x.

Then: (2/x) + (x - 4)/(9x).

We should common the denominator by multiplying the denominators of the two terms (9x)(x) = 9x² and dividing each denominator by the common denominator.

So, it will be equal:

[(2)(9x) + (x - 4)(x)]/9x² = (18x + x² - 4x)/9x² = (x² + 14 x)/9x².

Answer:

A

B

A

C

D

C

A

B

B

D

Step-by-step explanation:

Answer:

3.26

Step-by-step explanation:

33.5/3.14 = 10.66 ( when rounded to the nearest tenth).

10.66 square rooted is 3.26

The required radius of the sphere is 2 inch.

Volume of sphere = 33.5 cubic inches . Radius of sphere to be determine.

Volume, is defined as mass gained per unit cube of density.

Here, area of sphere = [tex]4/3\pi r^3[/tex]

                         33.5 = 4/3 πr³
                              r³ = 33.5 * 3/4π
                              r  = 2

Thus, the required radius of the sphere is 2 inch.

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Answer:

9.21954445729

Step-by-step explanation:

A^2 + B^2 = C^2

7^2 = 6^2 = 85

The square root of 85 is...

9.21954445729

Answer:

He needs to find the area of each lateral face plus the area of the base. The total surface area is 84.

Step-by-step explanation:

area of a triangle= b×h×1/2

therefore area of each triangle(lateral face)= 6×4×1/2= 12

12×4 because there are 4 triangles=48

then the area of the base= 6×6= 36

total surface area= 36+ 48=84

Two independent variables that can affect the cost of the supplies are:

An independent variable is a variable that can change freely.

For example in the given situation, we could define the independent variables:

Notice that these variables are independent because these don't depend on each other.

Then if each pencil costs A, and each notebook costs B, the cost function will be:

C(x, y) = A*x + B*y

So there you have two independent variables that affect the cost of the supplies.

If you want to learn more about independent variables, you can read:

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Answer:

(d) 1 / 2^8

this is the answer

both equations answers are kind of same, so (d) is the answer for your question

if this helped you please brainliest?

Answer:

A

Step-by-step explanation:

using the rule of exponents

[tex]\frac{a^{m} }{a^{n} }[/tex] = [tex]a^{(m-n)}[/tex] , then

[tex]\frac{2^{-3} }{2^{-5} }[/tex] = [tex]2^{-3-(-5)}[/tex] = [tex]2^{(-3+5)}[/tex] = 2² → A

Answer:

22

Step-by-step explanation:

4+7+4+7=22

Answer:

x = 4.65 or x = -0.65 (to 2 d.p)

Step-by-step explanation:

To complete the square, use the formula x² + bx + c = (x + b/2)² - (b/2)² + c

To solve this:

x has 2 solutions

x = 2 + √7 or x = 2 - √7

x = 4.65 or x = -0.65 (to 2 d.p)

Hope this helps!

Answer:

x = 4 ± 4[tex]\sqrt{3}[/tex]

Step-by-step explanation:

x² - 8x - 32 = 0 ( add 32 to both sides )

x² - 8x = 32

to complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 4)x + 16 = 32 + 16

(x - 4)² = 48 ( take square root of both sides )

x - 4 = ± [tex]\sqrt{48}[/tex] = ± 4[tex]\sqrt{3}[/tex] ( add 4 to both sides )

x = 4 ± 4[tex]\sqrt{3}[/tex]

Answer:

The answer is 3 and (-4).

Step-by-step explanation:

We are given an equation 2x² + 2x – 24.

Let us assume that the equation is equal to zero.

2x² + 2x – 24 = 0

Now, divide whole equation by 2 we get,

x² + x – 12 = 0

x² + 4x – 3x – 12 = 0

x(x + 4) – 3(x + 4) = 0

(x – 3) (x + 4) = 0

x = 3, -4

Thus, The actual roots of f(x) are 3 and (-4).

Answer:

-4 AND 3

Step-by-step explanation:

Answer:

5.5

Step-by-step explanation:

13.75 divided by 2.5 = 5.5

Answer:

it would be 12.5

Step-by-step explanation:

brainly deleted my answer from before

Answer:

5/4

Step-by-step explanation:

Since the formula of finding the slope is y2-y1/x2-x1, you plug ithe numbers into the equation which is 8-3/11-7 which equals 5/4.

Answer: 126

Step-by-step explanation:

Answer:

The function is even

good luck

The table represents the quadratic function h​(x)

The range of the quadratic function is (d) all real numbers greater than or equal to -8

The range of the quadratic function is the list of the function ouput values.

From the table, we have:

The smallest output value is -8

Assume this is the vertex of the quadratic function, the range of the quadratic function would be (d) all real numbers greater than or equal to -8

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The equation of the Ferris wheel is x² + y² = 25, and the transformation that shows that the circles are similar is the dilation transformation

From the question, we have the following parameters:

The equation of a circle is represented as:

(x - a)² + (y - b)² = r²

So, we have:

(x - 0)² + (y - 0)² = 5²

Evaluate

x² + y² = 25

Hence, the equation of the Ferris wheel is x² + y² = 25

See attachment for the image of the Ferris wheel

Assume that the similar circle has the following parameters:

The equation of the circle would be:

(x - 0)² + (y - 0)² = 10²

Evaluate

x² + y² = 100

Since both circles have the same center, the transformation that shows that they are similar is the dilation transformation

Read more about circle equations at:

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Answer:

6/5

Step-by-step explanation:

Let size 4 football radius = x,

and size 5 football radius = y,

Volume of size 5 = Volume of size 4 × (1 + 0.728)

Using the sphere volume formula,

V = (4/3)πr³

(4/3)πy³ = (4/3)πx³ × (1.728)

y³ = 1.728x³

y = ³√1.728 x

y/x = 6/5

Therefore, ratio of the radius of the size 5 football to that of the size 4 football is 6/5

Answer:

6/5

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

the tangent- chord angle XYZ is half the measure of its intercepted arc XY

∠ XYZ = [tex]\frac{1}{2}[/tex] × 94° = 47°

Answer:

I think that the correct answer would be B. 47 degrees

Step-by-step explanation:

hope this helps

pls mark brainliest

Answer:

32

Step-by-step explanation:

answer:

A=46°

a=17.983 (tenths- 18, hundredths- 17.98)

b=17.366 (tenths- 17.4, hundredths- 17.37)

explanation:

1. find angle A

it shows that the angle corresponding with the side length of 25 is a right angle, meaning it's 90°. using that information and the angle given to us (44°), we're able to find the missing angle. since all the angles in a triangle always add up to 180°, we can add the two angles together and then subtract that from 180° to find the missing angle.

90°+44°=134°

180°-134°=46°

A=46°

2. find side a

using the law of cosines, we're able to find the length of side a. cosine of an angle equals [tex]\frac{adjacent}{hypotenuse}[/tex]. we'll be using angle B (44°) for our angle. after we plug in the values, we can just solve the equation to find side a.

cosine44°=[tex]\frac{a}{25}[/tex]
(multiply both sides by 25)

25cosine44°=a
a=17.983

3. find side b

finding the length of side b is very similar to how you found side a. you can use the law of cosines again (make sure you use the right side lengths and angles!), but i used the law of sines. the sine of an angle equals [tex]\frac{opposite}{hypotenuse}[/tex]. we're going to be using the same angle for this.

sine44°=[tex]\frac{b}{25}[/tex]

(multiply both sides by 25)

25sine44°=b

b=17.366

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Answer:

26 is a:

B. Whole number

D. Natural number

E. Integer

F. Rational number

Answer:

B, C, D, E, F or all options except A

Step-by-step explanation:

26 is not an irrational number since irrational numbers cant be put in fraction form while 26 can be. ex: 26/1, 52/2 and so on

26 is a whole number.

whole numbers are 0 1 2 3 4 and so on

26 is a real number

imaginary number example: sqrt of -2

natural numbers are numbers going from 1 to infinity

integers are any number that is not a decimal.

26 is rational since it's not irrational.