What is the value of h when the function h(x)=x^2−8x+14 is converted to vertex form?

(1) the answer for this question is 33 metre square

rectangle is 4*7 that is 28meter square +5 m^2

33m^2

(2) answer for this question is 19 yard square

area of square is 3*3 that is 9m^2+10m^2

19m^2

hope it helps you !!!!!!!

It can be any of these. We cannot actually say without knowing the length of any of the other sides.

Answer:

D. 13 units

Step-by-step explanation:

Answer:

n = -8

Step-by-step explanation:

The variable has 4 subtracted and that quantity is multiplied by 5. You can find the value of the variable by reversing these operations, in reverse order. That means you first divide both sides of the equation by 5:

5(n-4)/5 = -60/5

n -4 = -12 . . . . . . simplify

Then you undo the subtraction of 4. You accomplish that by adding 4 to both sides of the equation.

n -4 +4 = -12 +4

n = -8 . . . . . . . . . simplify

_____

This equation can also be solved by first eliminating parentheses. Then you have

5n -20 = -60

Now, the variable is multiplied by 5, then 20 is subtracted from the sum. Reversing these operations in reverse order, we first add 20 to both sides of the equation:

5n -20 +20 = -60 +20

5n = -40 . . . . . . . . . . . . . simplify

Then we undo the multiplication by dividing both sides of the equation by 5:

n = -8

_____

The rule to remember is "whatever you do to one side of the equation must also be done to the other side". This is what keeps the equal sign valid.

Answer:

n = - 8

Step-by-step explanation:

There are 2 possible approaches to solving this question

method 1

5(n - 4) = - 60 ( divide both sides by 5 )

n - 4 = - 12 ( add 4 to both sides )

n = - 8

method 2

5(n - 4) = - 60 ( distribute left side )

5n - 20 = - 60 ( add 20 to both sides )

5n = - 40 ( divide both sides by 5 )

n = - 8

Answer:

7(x4) = 8-x

Step-by-step explanation:

Answer:

x= -2

Step-by-step explanation:

7(4+x)=8-3x would be your equation

your first step would be to move your 3x to the other side of the equation by adding 3x to both sides after this your equation should look as follows: 7(4+x)+3x=8 2nd: you should distribute your 7 to the numbers inside of the parenthsis and combine like terms to get 10x+28=8 then you move your 28 to the other side by subracting 28 and you will get 10x=-20 divide by ten to get the answer which is x=-2

Answer:

The correct option is A.

Step-by-step explanation:

From the given histogram it is clear that it is right skewed or positive skewed distribution because the tail is stretched toward right.

Negative skewed: Mean < Median < Mode

No skewed: Mean = Median = Mode

Positive skewed: Mean > Median > Mode

Since the given histogram is positive skewed distribution, therefore mean is greater than the median.

Hence the correct option is A.

Answer:

14.7π

Step-by-step explanation:

The length of the arc is calculated as

arc AB = circumference × fraction of circle

           = 2π × 6 × [tex]\frac{140}{360}[/tex]

           = [tex]\frac{12(140)\pi }{360}[/tex] = 14.7 π

Answer:

The slope is 1

Step-by-step explanation:

The slope of the line is also its gradient. A gradient is basically rise/run

In this case the rise is one and the run is also one if you look at the graph...therefore 1/1 equals 1

Just by eyeballing the graph, you could see that the slope is 1: whenever x increases by 1, y will also increase by 1. Since the slope is defined as the ratio of the increments along the y and x axis, we have 1/1=1.

If you want to be more formal, you can pick any two points on the line, for example (0,1) and (3,4), and use the formula

[tex]m = \dfrac{\Delta y}{\Delta x} = \dfrac{y_2-y_1}{x_2-x_1} = \dfrac{4-1}{3-0} = 1[/tex]

Answer:

Q1. is 628 cm

Q2 18.84 cm

Step-by-step explanation:

Q1. 400 / 2 = 200 to get the radius

3.14 * 200 = 628

Q2. 12 / 2 = 6 to get the radius

31.4 * 6 = 18.84

It is the first one because the X side is going up at a steady rate and the Y is also going up at a steady rate

From the given table, table 1 represents the linear function.

Rate of change can be used to detect a linear function.

We can calculate rate of change to check whether the given coordinates represent linear relationship or not.

Formula used to calculate rate of change, m

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex].......................................................1

For table 1:

Calculating value of m using eq 1 for points (2,7) and (4,9)

[tex]m=\dfrac{9-7}{4-2}\\\\m=1[/tex]

Similarly,

Calculating value of m using eq 1 for points (6,8) and (11,13)

m=1

Slope remains same. So, it shows linear relationship.

For table 2:

Calculating value of m using eq 1 for points (1,7) and (2,9)

[tex]m=\dfrac{9-7}{2-1}\\\\m=2[/tex]

Similarly,

Calculating value of m using eq 1 for points (3,12) and (4,15)

m=3

Value of slope changes from 2 to 3. Thus, it does not show linear relationship.

For table 3:

Calculating value of m using eq 1 for points (1,7) and (2,11)

[tex]m=\dfrac{11-7}{2-1}\\\\m=4[/tex]

Calculating value of m using eq 1 for points (3,12) and (4,13)

m=1

Value of slope changes from 4 to 1. Thus, it does not show linear relationship.

For table 4:

Calculating value of m using eq 1 for points (2,7) and (4,9)

[tex]m=\dfrac{9-7}{4-2}\\\\m=1[/tex]

Calculating value of m using eq 1 for points (6,12) and (8,15)

m=3/2

Value of slope changes from 1 to 3/2. Thus, it does not show linear relationship.

So, the Slope of table 1 is the same for all the coordinates. Thus, table 1 represents a linear function.

Learn more about rate of change, here:

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Answer:

13.04 square units

Step-by-step explanation:

Since this is a parallelogram, we only need to solve for the sides of 2 sides.

We can use the distance formula.

The distance from A --> D :

A(3,6) and D(2,2)

2 - 3 = -1

-1^2 = 1

2 - 6 = -4

-4^2 = 16

1 + 16 = 17

[tex]\sqrt{17}[/tex]

The distance from A --> B :

A(3,6) and B(6,5)

6 - 3 = 3

3^2 = 9

5 - 6 = -1

-1^2 = 1

9 + 1 = 10

[tex]\sqrt{10}[/tex]

Multiply.

[tex]\sqrt{10}*\sqrt{17}=13.04[/tex]

*Rounded to the nearest hundreth

Divisibility by 2 would be the correct answer. Two is an even number, and the only listed at that. Odd numbers are only divisible by another odd number. Hope I helped you !

Answer:

the answer is B) divisibility by 2

Step-by-step explanation:

I got the answer on the USA test prep.

thanks for your help with brainly

[tex]\text{The angle from the right is 30}^\circ \\ \\ \text{We use sinus theorem:}\\\\ \dfrac{y}{\sin(60)^{\circ}} = \dfrac{8}{\sin(30)^{\circ}} \Rightarrow \dfrac{y}{\dfrac{\sqrt{3}}{2}} = \dfrac{8}{\dfrac{1}{2}} \Rightarrow y = \dfrac{\sqrt 3}{2}\cdot 16\Rightarrow \boxed{y = 8\sqrt 3}[/tex]

Answer:

y = 8[tex]\sqrt{3}[/tex]

Step-by-step explanation:

Using the tangent ratio in the right triangle and the exact value

tan60° = [tex]\sqrt{3}[/tex], hence

tan60° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{y}{8}[/tex]

Multiply both sides by 8

8 × tan60° = y, so

y = 8[tex]\sqrt{3}[/tex] ← exact value

Answer:

1. true

2.True

3.False

4.false

Step-by-step explanation:

Answer:

[tex]\frac{3}{8}[/tex] cups of oil

Step-by-step explanation:

Given : A recipe requires 1/4 cup of oil for every 2/3 cup of water.

To Find:  How much oil (in cups) is needed per cup of water?

Solution:

Oil required by [tex]\frac{2}{3}[/tex] cup of water = [tex]\frac{1}{4}[/tex]

Oil required by 1 cup of water = [tex]\frac{\frac{1}{4}}{\frac{2}{3}}[/tex]

                                                   = [tex]\frac{3}{8}[/tex]

Hence [tex]\frac{3}{8}[/tex] cups of oil is needed for per cup of water.

The oil required for one cup of water is 3/8 cup.

Given that a recipe requires 1/4 cup of oil for every 2/3 cup of water.

The quantities of oil and water are given in fractions. We can write as,

[tex]\dfrac {1}{4}cup \; oil = \dfrac {2}{3} cup\;water[/tex]

[tex]1 cup\;water = \dfrac {\dfrac {1}{4}cup\;oil}{\dfrac{2}{3}}[/tex]

[tex]1cup\;water = \dfrac {3}{8}cup\;oil[/tex]

Hence we can conclude that the oil required for one cup of water is 3/8 cup.

To know more about fractions, folow the link given below.

https://brainly.com/question/1295669.

Answer:

plant B would recycle 60 more red bottle and plant c would recycle 38 more bottles

Step-by-step explanation:

Answer:

16÷25=0.64

0.64x2 =1.28

Step-by-step explanation:

cicero meant to transfer something to someone .

Answer:

Body language and vocal technique

Step-by-step explanation:

Answer:

n ≤ 6

Step-by-step explanation:

2n - 15 ≤ -3

Add 15 to both sides.

2n ≤ 12

Divide both sides by 2.

n ≤ 6

The solution of this inequality is any number less than or equal to 6. There is an infinite number of solutions. Since you are asked to pick two numbers that are solutions, I assume you have choices that were given. Look at the choices, and pick any number less than 6 and 6 itself if it is a choice.

The answer for which two numbers are solutions of 2n - 15≤ = -3

Is n≤ 6

Let [tex]x=m\widehat{EY}=m\widehat{YI}[/tex]. By the inscribed angle theorem, we have

[tex]m\angle EJI=\dfrac12m\angle EOI=\dfrac12m\widehat{EI}=\dfrac{m\widehat{EY}+m\widehat{YI}}2=x^\circ[/tex]

Then

[tex]m\angle KJE=(180-x)^\circ[/tex]

Also by the inscribed angle theorem, we have

[tex]m\angle ELY=\dfrac12m\angle EOY=\dfrac12m\widehat{EY}=\left(\dfrac x2\right)^\circ[/tex]

so that

[tex]m\angle KLX=\left(180-\dfrac x2\right)^\circ[/tex]

Angles EXY and LXJ form a vertical pair so they are congruent and both have measure [tex]80^\circ[/tex].

The sum of the interior angles to any quadrilateral is [tex]360^\circ[/tex], so for quadrilateral KLXJ we get

[tex]25^\circ+\left(180-\dfrac x2\right)^\circ+(180-x)^\circ+80^\circ=360^\circ\implies x^\circ=70^\circ[/tex]

So,

[tex]m\widehat{EI}=2x^\circ=\boxed{140^\circ}[/tex]

Answer:

Step-by-step explanation:

Let . By the inscribed angle theorem, we have

Then

Also by the inscribed angle theorem, we have

so that

Angles EXY and LXJ form a vertical pair so they are congruent and both have measure .

The sum of the interior angles to any quadrilateral is , so for quadrilateral KLXJ we get

So,

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the semi truck has more weight than a motorcycle. the truck will have to go slow with it carring the passangers and the cargo, alonf with the weight of the trailer and and the weight of the cab itself. the motorcycle will only carry the passanger and the cycle its self. theres a big weight difference. anorher thinf is the motors are both a different size. the motorcycles motor is alot smaller than the trucks so the bikes motor will get ready faster. the same goes with alot of pick up trucks. some trucks have a weight to start signal because they are trying to get the motor ready.

I hope this helps.

Answer:

The semi-truck has more weight than the motorcycle.

Step-by-step explanation:

Obviously a truck is heavier than a motorcycle, so it will have more inertia. Hope this helps!

Given a straight line segment AB with points A, O, and B, and angle measures <COA, <COD, and <DOB, we find <COD to be 45 degrees using angle sum properties.

In the given scenario, we have a straight line segment AB, and points O, A, and B lying on it. We are required to find the measure of angle COD, denoted as <COD. According to the information provided, <COA is (3x + 94), <COD is (x + 36), and <DOB is (2x - 4).

Since A, O, and B are collinear, the sum of the angles around point O must be 180 degrees. Therefore, <COA + <COD + <DOB = 180 degrees. Substituting the given angle measures into the equation, we get:

(3x + 94) + (x + 36) + (2x - 4) = 180.

Combining like terms and solving for x:

6x + 126 = 180,

6x = 54,

x = 9.

Now that we have the value for x, we can find <COD by substituting it into the expression (x + 36):

<COD = 9 + 36 = 45 degrees.

Therefore, the measure of angle COD is 45 degrees.

Hello there!

An equation to model the number is: n - 7 x 2 = 2

To find the equation, break apart the question.

twice the difference of a number and 7 equals 2. - "Twice" means we are multiplying by 2, or x 2

twice the difference of a number and 7 equals 2. "The difference of a number and 7" means we are subtracting n - 7, and this is being multiplied by 2 so we have n - 7 x 2 so far.

twice the difference of a number and 7 equals 2. "Equals two" means the equation is equal to 2, or = 2, so our equation is n - 7 x 2 = 2.

The value of the number based on the information given is 8.

Let the number be represented by x.

Since we are given the equation that twice the difference of a number and 7 equals 2, the equation to solve this will be:

2(x - 7) = 2

2x - 14 = 2

2x = 2 + 14

2x = 16

x = 16/2

x = 8

The value of the number is 8

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Answer:

i think that it is y=12-x

Step-by-step explanation:

Answer:

Y = x÷2

Step-by-step explanation:

For this purpose, we have to examine all the x and y values.

Looking at the first x value which is 24, the output is 12 which is half of the input.

Then for second input x=12, the output is y=6, which again is half of the output.

Then for the last value of x, the same rule applies.

So we can conclude that y=x/2 or y=x÷2.

So option C is the right answer..

7 and trinomial i believe !

Answer:

62.5% of the class

Step-by-step explanation:

If 12 students is 3/8 of the class, the ones who earned A's, then 5/8 did not earn A's.

Let c represent the total number of students in the class.

Then (3/8)c = 12, and c = (8/3)(12) = 32.

5/8 of these 32 students did not earn A's:  (5/8)(32) = 20.

These 20 students constitute 20/32 of the class, or 0.625 of the class, or 62.5% of the class.

Answer:

r = √98

Step-by-step explanation:

angle A and the diameter form an isosceles right triangle, with OA as the hypotenuse and r as the other sides. You can then make and solve an equation from the Pythagorean Theorem:

r^2 + r^2 = 14^2

2r^2 = 14^2

2r^2 = 196

r^2 = 98

r = √98

Answer:

Step-by-step explanation:

Alright, lets get started.

Please refer the diagram I have attached.

The angle A is 90 degree.

The side OA is 14.

There will be a right triangle formed.

So, Using Pythagorean theorem,

[tex]r^2+r^2=14^2[/tex]

[tex]2r^2=196[/tex]

Dividing 2 in both sides

[tex]r^2=\frac{196}{2}=98[/tex]

[tex]r=\sqrt{98}[/tex]

[tex]r=7\sqrt{2}[/tex]

So,the answer is [tex]7\sqrt{2}[/tex]     :     Answer

Hope it will help :)

Answer:

90 sq. ft.

Step-by-step explanation:

The formula you need to use is length*width*height. If you plug the numbers given into the equation, you get 5*3*6. Multiply this for the answer.

Answer:  The correct option is (B) 126 sq. feet.

Step-by-step explanation:  We are given to find the total area of the solid figure.

We can see that the given solid figure is a cuboid.

The total area of a cuboid with length l units, breadth b units and height w units is given by

[tex]A=2(lb+bh+hl).[/tex]

For the given cuboid, we have

length, l = 5 feet,

breadth, b = 3 feet and

height, h = 6 feet.

Therefore, the total area of the given cuboid will be

[tex]A=2(5\times 3+3\times6+6\times 5)=2(15+18+30)=2\times63=126~\textup{sq. feet}.[/tex]

Thus, the total area of teh solid figure is 126 sq. feet.

Option (B) is CORRECT.

Answer:

Part 1) The value of x is [tex]2\sqrt{7}\ in[/tex]

Part 2) The value of y is [tex]\sqrt{21}\ in[/tex]

Step-by-step explanation:

Part 1

Find the value of x

Applying Pythagoras Theorem

[tex]8^{2}=x^{2} +6^{2}[/tex]

[tex]x^{2}=8^{2}-6^{2}[/tex]

[tex]x^{2}=28[/tex]

[tex]x=2\sqrt{7}\ in[/tex]

Part 2

Find the value of y

Applying Pythagoras Theorem

[tex]7^{2}=x^{2} +y^{2}[/tex]

substitute the value of x

[tex]7^{2}=28 +y^{2}[/tex]

[tex]y^{2}=7^{2}-28[/tex]

[tex]y^{2}=21[/tex]

[tex]y=\sqrt{21}\ in[/tex]

The value of the expression (8^7)/(8^7) is 1.

The expression (8^7)/(8^7) can be simplified using the properties of exponents. According to the quotient rule of exponents, when dividing two numbers with the same base, the exponents are subtracted. In this case:

   (8^7)/(8^7) = 8^(7-7) = 8^0

Any non-zero number raised to the power of 0 is equal to 1, according to the fundamental property of exponentiation. Therefore, the value of the expression (8^7)/(8^7) is 1.

Hence, the value of the expression (8^7)/(8^7) is 1.

By applying the quotient rule of exponents, we simplify the expression to 1, reflecting the property of exponentiation where any non-zero number raised to the power of 0 equals 1.

Answer:

14.14

Step-by-step explanation:

You can find the value of x using the trig ratio Sine = opposite/hypotenuse.

The sin 45 = 10/x. Solve for x.

x= 10/ sin45

x = 10/0.707

x = 14.14