Is y= 3(x-1)^2+3 vertex form?

Answer:

16+24s

Step-by-step explanation:

4(4+6s)

Distribute the 4

4*4 + 4*6s

16+24s

Answer:

4(4 + 6s)

(4 * 4) + (4 * 6s)

= 16 + 24s

Answer:

Step-by-step explanation:

Set up the Pythagorean Equation for the two triangles

x^2 + h^2 = 4^2  = 16

(x + 6)^2 + h^2 = 8^2 = 64

x^2 +    h^2 = 16                        Subtract. That will get rid of h^2

(x + 6)^2 - x^2 = 64 - 16            Expand the brackets. combine the right.

x^2 + 12x+36 - x^2 = 48           Combine

12x + 36 = 48                            Subtract 36 from both sides

12x +36 -36 = 48-36                 Combine

12x = 12                                      Divide by 12

12x/12 = 12/12

x = 1

==================

x^2 + h^2 = 4^2

1^2 + h^2 = 16

h^2 = 15

h = sqrt(15)  

Answer:

C. 37.02

Step-by-step explanation:

All you had to do was add them up and round to the nearest whole number

Answer:

Two times a number plus seven

Step-by-step explanation:

For this case we must give a verbal description for the following expression:

[tex]2n + 7[/tex]

Let "n" be the variable that represents an unknown number. Now we have that the expression is described as:

Twice a number plus seven.

Answer:

Twice a number plus seven.

Combine the common factors.

11x + 5 = 180

Subtract 5 from both sides.

11x = 175

Divide 11 from both sides to isolate the x.

x = 15.90909091

Answer:

x = 175/11

Step-by-step explanation:

Step 1: Combine like terms

11x + 5 = 180

Step 2: Subtract 5 from both sides.

11x = 175

Step 3: Divide 11 from both sides

x = 175/11

Answer:

70

Step-by-step explanation:

15 x 3 = 45

33 x 5 = 165

165 + 45 = 210

210/3 = 70

Answer:

70 feet

Step-by-step explanation:

15×3= 45 33×5=165

45+165=210

As it is an equilateral triangle, 210÷3= 70

So each side is 70 feet long

5 • 14 = 70

5 • 12 • 1/2 = 30

30 + 70 = 100

The answer is 100.

Hope this helps!

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Answer:

9 units squared

Step-by-step explanation:

There are 6 units going up from the origin, and 3 units going right.

Do 6 x 3 = 18

18 divided by 2 because area for triangles is length x width divided by 2.

18 divided by 2 = 9

add units of measurements

The equation of the function shown in the graph is f(x) = log₂(x + 4) - 1

How to determine the equation of the function shown in the graph

From the question, we have the following parameters that can be used in our computation:

The graph

Where, we have

g(x) = log₂(x)

First, the function is shifted to the left by 4 units

So, we have

g(x) = log₂(x + 4)

Next, the function is shifted down by 1 unit

So, we have

f(x) = log₂(x + 4) - 1

Hence, the equation of the function shown in the graph is f(x) = log₂(x + 4) - 1

Answer: [tex]-2p-8[/tex]

Step-by-step explanation:

You need to remember the Distributive property:

[tex]a(c+b)=ac+ab[/tex]

And the multiplication of signs:

[tex](+)(+)=+\\(-)(-)=+\\(+)(-)=-[/tex]

Therefore, applying the explained before, to simplify the expression [tex]-2(p+4)[/tex] you need to multiply each term that are inside of the parentheses by -2, then you get:

[tex]-2(p+4)\\(-2)(p)+(-2)(4)\\-2p-8[/tex]

Answer:

b

Step-by-step explanation:

Answer: The answer to your question is B. 224.00 ft2

Step-by-step explanation:

Answer:

Step-by-step explanation:

144

The fabric required to make the model tent should be 144 squared inches.

When you multiply an integer (a “whole” number, positive, negative or zero) times itself, the resulting product is called a square number, or a perfect square or simply “a square.”

As the shape of tent is is triangular prism.

As the fabric needed to make the model tent is in square inches.

So, the number should be a perfect square of any number to make the tent.

We have, 144 which is the perfect square of 12.

Hence, the fabric required to make the model tent should be 144 squared inches.

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Answer:

option C Only second equation is an identity is correct.

Step-by-step explanation:

1)

[tex]1 +\frac{cos^2\theta}{cot^2\theta(1-sin^2\theta)}= 9 sec^2\theta[/tex]

We need to prove this identity.

We know:

[tex]cos^2\theta + sin^2\theta = 1\\=> cos^2\theta = 1- sin^2\theta[/tex]

and

[tex]\frac{1}{cot^2\theta } = tan^2\theta \\and\\tan^2\theta = \frac{sin^2\theta}{cos^2\theta}[/tex]

Using these to solve the identity

[tex]1 +\frac{cos^2\theta}{cot^2\theta(cos^2\theta)}= 9 sec^2\theta\\1 +\frac{1}{cot^2\theta} = 9 sec^2\theta\\1+tan^2\theta = 9 sec^2\theta\\1+\frac{sin^2\theta}{cos^2\theta} = 9sec^2\theta\\\\\frac{cos^2\theta+sin^2\theta}{cos^2\theta} = 9sec^2\theta\\\frac{1}{cos^2\theta}=9sec^2\theta \\sec^2\theta \neq 9sec^2\theta[/tex]

So, this is not an identity.

2)

[tex]20sin\theta(\frac{1}{sin\theta} -\frac{cot\theta}{sec\theta}) =20sin^2\theta\\[/tex]

We need to prove this identity.

We know:

[tex]cot\theta = \frac{cos\theta}{sin\theta} \\and \\sec\theta=\frac{1}{cos\theta} \\so,\,\, \frac{cot\theta}{sec\theta}= \frac{\frac{cos\theta}{sin\theta}}{\frac{1}{cos\theta}}  \\Solving\\ \frac{cot\theta}{sec\theta} =\frac{cos^2\theta}{sin\theta}[/tex]

Using this to solve the identity

[tex]20sin\theta(\frac{1}{sin\theta} -\frac{cot\theta}{sec\theta}) =20sin^2\theta\\\\Putting\,\,values\,\,\\ 20sin\theta(\frac{1}{sin\theta} -\frac{cos^2\theta}{sin\theta}) =20sin^2\theta\\ 20sin\theta(\frac{1-cos^2\theta}{sin\theta}) =20sin^2\theta\\1-cos^2\theta = sin^2\theta\\ 20sin\theta(\frac{sin^2\theta}{sin\theta}) =20sin^2\theta\\Cancelling\,\, sin\theta \,\,over \,\,sin\theta\\20sin^2\theta=20sin^2\theta[/tex]

So, this is an identity.

So, option C Only second equation is an identity is correct.

Answer:

[tex]cos=1[/tex]

Step-by-step explanation:

Use the acronym SOH-CAH-TOA

sin = [tex]\frac{3}{4}[/tex]

So opposite is 3 and hypotenuse is 4.

tan = [tex]\frac{-3}{4}[/tex]

So opposite is -3 and adjacent is 4.

cos = adjacent/hypotenuse

cos = [tex]\frac{4}{4}=1[/tex]

B bbbbbbbbbbbbbbbbbbbbbbbbbbbbbb

Answer:

The correct is B) [tex]g(x)=- x^{2}-3[/tex]

Step-by-step explanation:

In provided graph f(x) is x² which is equation of parabola

this is shown by blue graph

we need to find the equation of red graph which is denoted by g(x)

It can be seen from graph that g(x) is downward so, in this equation coefficient must be in negative.

In part A) [tex]g(x)= (-x)^{2}+3[/tex]

so, [tex]g(x)= x^{2}+3[/tex]

here is not negative coefficient

In part B) [tex]g(x)=- x^{2}-3[/tex]

here is negative coefficient

This shows downward direction of parabola.

and negative 3 shows the shifting of parabola downward by 3 units.

Hence, this condition matches only option B)[tex]g(x)=- x^{2}-3[/tex]

In part C) [tex]g(x)=(-x)^{2}-3[/tex]

so, [tex]g(x)= x^{2}-3[/tex]

here is not negative coefficient

In part D) [tex]g(x)=-x^{2}+3[/tex]

since, here is negative coefficient  

This shows downward direction of parabola.

and positive 3 shows the shifting of parabola upward by 3 units.

So, the correct is B) [tex]g(x)=- x^{2}-3[/tex]

Answer:

1. Absolute value: function whose output equals input for non-negative numbers, and whose output is the opposite of a negative input

2. Continuous function: function whose graph has no breaks

3. Step function: function whose graph consists of horizontal line segments

4. Piecewise-defined function: function defined on different intervals by different domain rules

Step-by-step explanation:

Answer:

Step-by-step explanation:Absolute value: function whose output equals input for non-negative numbers, and whose output is the opposite of a negative input

2. Continuous function: function whose graph has no breaks

3. Step function: function whose graph consists of horizontal line segments

4. Piecewise-defined function: function defined on different intervals by different domain rules

Answer:

120.

Step-by-step explanation:

2x+4x=180

(2x+4x)=180

6x=180

6x÷6 = 180÷6

x=30.

Then, Substitute for measurement of angle Q

4*30=120.

Answer:

Weight.

Step-by-step explanation:

A weight is a measure of the pull of gravity on an object. This is the correct answer to this question.

Hope this helps!!!

Kyle.

Weight is a measure of the gravitational force on an object and varies by location, expressed in units like pounds or kilograms, while mass is the total quantity of matter in an object and is constant regardless of location.

Weight is a measure of how heavy an object is. When someone refers to how heavy something feels, such as an imaginary object causing a person to bend over due to its heaviness, they are describing the object's weight. Weight is determined by the force of gravity acting on the mass of the object and varies depending on where the object is located. It is commonly expressed in pounds and ounces, kilograms and grams, or tons.

On the other hand, mass is a measure of the total quantity of matter an object contains. It is an intrinsic property of the object and does not change regardless of its location—whether it's on Earth, in orbit, or on the Moon. Mass is commonly measured in kilograms or grams.

For example, when determining what unit of measurement to use to weigh a large dog, we would choose a unit of weight, such as pounds or kilograms. It is important to remember that volume is different from both mass and weight. Volume measures the amount of physical space an object occupies and is not the same as weight.

Answer:

Trapezoid is the shape of the cross section of a rectangular pyramid.

Step-by-step explanation:

We are given a rectangular pyramid was sliced such that it becomes parallel to its base. We are to determine the shape of the cross section.

Slicing the pyramid with rectangular pyramid will form a trapezoid as a cross section which will be parallel to the base of the pyramid.

Refer to the figure below for better understanding.

Answer:

y²+6y+9

Step-by-step explanation:

Use FOIL(First, inner, outer, last) to distribute the (y+4)² to get to y²+8y+16. You will then distribute in -2(y+4) to get -2y-8. You will then combine like terms, adding in the +1, to get to your answer.

Answer:

so you start wi

Step-by-step explanation:

Answer:

91,000 Liters

Step-by-step explanation:

1 Kiloliters =  1,000 liters

91 times 1,000 = 91,000

To convert 91 kiloliters to liters, multiply 91 by 1,000, which equals 91,000 liters. Therefore, 91 kiloliters of water is equal to 91,000 liters.

To convert kiloliters to liters, you need to know the conversion factor. 1 kiloliter (kL) is equivalent to 1,000 liters (L). Therefore, to convert 91 kiloliters to liters, you simply multiply 91 by 1,000.

The calculation would be as follows:
91 kL × 1,000 L/kL = 91,000 L

So, 91 kiloliters of water is the same as 91,000 liters of water.

Answer:

4153

Step-by-step explanation:

Given:

A 4-digit number ends in 3

Let the number be xyz3

Also,

If you put the number 3 in the first position, the number will decrease by 738 i.e.

new number 3xyz is 738 less than xyz3

xyz3-

3xyz=738

Now from above we can see that a number z when subtracted from 13(from rule of lending in subtraction as 8 is greater than 3) results in 8,

13-z=8

z=13-8

z=5

Then z-y=3, we have z=5 but from previous calculation 1 is lend to 3 so now z is reduced to 4 hence 4-y=3

y=4-3

y=1

then y-x=7, we have y=1 so when a number x when subtracted from 11(from rule of lending in subtraction as 7 is greater than 1) results in 7,

11-x=7

x=11-7

x=4

hence we have now values of x,y and z putting the values in original number we get

4153

and new number is 3415 then

Now 4153-3415=738 !

152 kilometers my friend

The answer is 152. Hope this helps! Have a great day and good luck!

Answer:

The equation is [tex]8x^2 -6x+1=0[/tex]

Step-by-step explanation:

We need to find the quadratic equation which is in the form:

[tex]ax^2 + bx + c = 0[/tex]

We are given sum S = 3/4 and Product P = 1/8

The quadratic equation in terms of sum and products can be written as:

[tex]x^2 - Sx + P =0[/tex]

Where S is sum and P is product. Putting their values we get:

[tex]x^2-\frac{3}{4}x+\frac{1}{8}=0[/tex]

The co-efficient should be integer so, taking LCM of 4 and 8

[tex]\frac{8x^2 -6x+1}{8} =0\\Dividing\,\,both\,\,sides\,\,by\,\,8\\8x^2 -6x+1=0[/tex]

So,

Co-efficient are:  a = 8 , b = -6 and c= 1

Solving the equation:

[tex]8x^2 -6x+1=0\\8x^2 -2x -4x+1=0\\8x(x-1/4)-4(x-1/4) =0\\(x-1/4)(8x-4)=0\\x-1/4 =0\,\, and\,\, 8x-4 =0\\x = 1/4\,\, and x \,\,= 4/8 = 1/2[/tex]

So values of x are 1/4 and 1/2

Sum: 1/4+1/2 = 1+2/4 = 3/4

Product: 1/4 * 1/2 = 1/8

Answer:

[tex]x=47.0[/tex]

Step-by-step explanation:

We are given:

[tex]tan12=\frac{10}{x}[/tex]

We need to multiply by x and divide by tan12 in order to isolate x

[tex]tan12=\frac{10}{x} \\\\xtan12=10\\\\x=\frac{10}{tan12} \\\\x=47.046\\\\x=47.0[/tex]

Answer:

Step-by-step explanation:

If it's a linear, then

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

Substitute the values from the table:

[tex]\dfrac{70-60}{5-1}=\dfrac{10}{4}=2.5\\\\\dfrac{80-70}{20-5}=\dfrac{10}{15}=\dfrac{2}{3}[/tex]

[tex]2.5\neq\dfrac{2}{3}[/tex]

Check the picture below.

Step-by-step explanation:

Circumference: 2πr

or 2×22/7×40

= 44/7×40

=251.4 m (approx.)

500 To The Second Power Is 250,000

You Just Have To Multiply 500 By 500

Answer:200^2=250,000

Step-by-step explanation:

Answer:

6.75 or 27/4

Step-by-step explanation:

18 x 3/8 = Answer

if the bucket is only 3/8 full when holding 18 liters then it is 1/8 full when holding 6 liters. so just multiply 6 by 8 and you get 48 liters

The easier way to solve the equation 42 = x + 23 is by subtracting 23 from both sides of the equation. This will result in the value of x being 19. The process of isolating the variable on one side of the equation is important for finding the value of the variable.

In this mathematical equation, 42 = x + 23, to find the value of x, we need to isolate x on one side of the equation. The operation involved is subtraction. We subtract 23 from both sides of the equation. This process is important to maintain the equality of the equation. By doing this operation, both sides of the equation still balance. After subtracting 23 from both sides, we get x = 42 - 23, resulting in x = 19.

In order to find the value of x, Fran needs to isolate it on one side of the equation. To do this, she can subtract 23 from both sides of the equation, resulting in 42 - 23 = x. Simplifying further, she finds that x = 19.

Alternatively, Fran could have recognized that 42 - 23 equals 19 and immediately concluded that x = 19, saving her the need to do the subtraction step.

Therefore, the sentence that best explains why Fran could have found the answer in a simpler way is that she could have recognized the subtraction step as an immediate result and skipped it.

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