For the equation below, what should be added to both sides of the equation to make the left hand side a Perfect Square Trinomial?

x
2
+34x=7

Answer:

The maximum point of this function is (5,4).

Step-by-step explanation:

The maximum of a function is the maximum value that it can take.

Seeing the graph we can say that the maximum value of y occurs at x = 4. Here y = 5 corresponds to this value of x.

Therefore, the maximum point of this function is (5,4).

I hope it helps you!

Answer:

1 solution

Step-by-step explanation:

Solution is, x=3-4y

Answer:

41.8 > 41.08

Step-by-step explanation:

-2 < -1,5p - 8

-1,5p - 8 > -2

-1,5p > -2 + 8

-1,5p > 6 / : (-1,5)

x < 4

Answer:

a =-5, b= 2.5, 2a= the absloute value of -7 is 7, 2b= the absloute value of 1.8 is 1.8

Step-by-step explanation:

the absloute value is how far away from 0 a number is

Answer:

the answer is c 2 dollars

Answer:

C = 25.94°

Step-by-step explanation:

By applying cosine rule in ΔABD,

BD² = AB² + AD² - 2(AB)(BD)cosA

BD² = (5.8)² + (6.2)² - 2(5.8)(6.2)(cos27°)

BD² = 33.64 + 38.44 - 64.08

BD² = 8

BD = √8

By applying cosine rule in ΔBCD,

BD² = BC² + CD²- 2(BC)(CD)cosC

(√8)² = (5.4)²+ (3.3)² - 2(5.4)(3.3)cosC

8 = 29.16 + 10.89 - 35.64cosC

35.64cosC = 32.05

cosC = 0.89927

C = [tex]\text{cos}^{-1}(0.89927)[/tex]

C = 25.94°

By using cosine formula of triangles we got that measure of ∠C is 25.94 °

Quadrilateral is a closed shape with 4 sides and 4 corners.

Here given that

AB=5.8 cm

BC=5.4 cm

CD=3.3 cm

AD=6.2 cm

and [tex]\angle A=27[/tex] °

in [tex]\triangle \mathrm{ABD}[/tex]

Applying cosine formula

[tex]$$\begin{aligned}&\mathrm{BD}^{2}=\mathrm{AB}^{2}+A D^{2}-2(\mathrm{AB})(\mathrm{BD}) \cos A \\\\&\mathrm{BD}^{2}=(5.8)^{2}+(6.2)^{2}-2(5.8)(6.2)\left(\cos 27^{\circ}\right) \\\\&\mathrm{BD}^{2}=33.64+38.44-64.08\\ \\&\mathrm{BD}^{2}=8 \\\\&\mathrm{BD}=\sqrt{8}\end{aligned}$$[/tex]

Now in [tex]\triangle B C D[/tex]

Applying cosine formula

[tex]$$\begin{aligned}&\mathrm{BD}^{2}=\mathrm{BC}^{2}+\mathrm{CD}^{2}-2(\mathrm{BC})(\mathrm{CD}) \cos \mathrm{C} \\\\&(\sqrt{8})^{2}=(5.4)^{2}+(3.3)^{2}-2(5.4)(3.3) \cos \mathrm{C} \\\\&8=29.16+10.89-35.64 \cos \mathrm{C}\\ \\&35.64 \cos \mathrm{C}=32.05\\ \\&\cos \mathrm{C}=0.89927 \\\\&\mathrm{C}=\cos ^{-1}(0.89927) \\&\end{aligned}$$[/tex]

C=25.94 °

By using cosine formula of triangles we got that measure of ∠C is 25.94 °

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Answer:

? = 2    Full Answer: 1/2

Step-by-step explanation:

A regular die has only 6 numbers: 1, 2, 3, 4, 5, & 6.

In those numbers, there are 3 odd numbers, and 3 even numbers. This would mean that the probability of getting an odd number would be 3/6.

But to simplify it, 3/6 ALSO equals 1/2

Answer:

1/2 is the answer

Step-by-step explanation:

A die has 6 possible outcomes: 1, 2, 3, 4, 5, 6

Out of these numbers 3 are odd numbers.

P(Event) = Number of favourable outcomes/ Total number of outcomes

P(odd) = 3/6

           = 1/2

Answer: true

Step-by-step explanation:

Answer:  true

Step-by-step explanation:

Answer:

2145

Step-by-step explanation: 55,770/26=2145

Answer:

answer = 2145 per paycheck

Step-by-step explanation:

Answer:

x^ 5 +  x ^4  −  x^ 3  −  x^ 2  −  x  +  1

Step-by-step explanation:

(*￣3￣)╭

Answer:

Simplified: x^5 + x^4 - x^3 - x^2 - x +1

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

Answer:

(B). 319

Step-by-step explanation:

[tex]\frac{42}{60}[/tex] = [tex]\frac{x}{456}[/tex]

[tex]\frac{7}{10}[/tex] = [tex]\frac{x}{456}[/tex]

x = [tex]\frac{7*456}{10}[/tex] ≈ 319

The best estimate of the number of those parents likely to support the new proposal is 319. So the option is (B) 319.

Firstly, there is proportional relationship.

Two values x  and  y are said to be in a proportional relationship if x=ky, where x and y are variables and k is a constant.

The constant k is called constant of proportionality.

Parents of students at a middle school were randomly selected to participate in a survey.

42 out of 60 parents who were surveyed support a proposal to buy new computers.

There are a total of 456 parents with students at the middle-school.

[tex]\dfrac{42}{60} = \dfrac{x}{456} \\\\\\x = \dfrac{42}{60} \times 456\\\\x = \dfrac{7}{10} \times 456\\\\x = 319[/tex]

Therefore, the best estimate of the number of those parents likely to support the new proposal is 319.

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Answer:

Yo i gotta be honest, I do not know

Step-by-step explanation:

9514 1404 393

Answer:

  59°

Step-by-step explanation:

The law of cosines tells you ...

  h² = f² +g² -2fg·cos(H)

Solving for angle H gives ...

  H = arccos((f² +g² -h²)/(2fg)) = arccos(725/1400) ≈ 58.811°

  ∠H ≈ 59°

Answer:

100

Step-by-step explanation:

it just is

Answer:

[tex]y=-67.5[cos(\frac{\pi}{15}t)-1][/tex]

Step-by-step explanation:

We can start solving this problem by doing a drawing of London Eye. (See attached picture).

From the picture, we can see that the tourists will start at the lowest point of the trajectory, which means we can make use of a -cos function. So the function will have the following shape:

[tex]y=-Acos(\omega t)+b[/tex]

where:

A=amplitude

[tex]\omega[/tex] = angular speed.

t= time (in minutes)

b= vertical shift.

In this case:

A= radius = 67.5 m

[tex]\omega=2\pi f[/tex]

where the frequency is the number of revolutions it takes every minute, in this case:

[tex]f=\frac{1}{30} rev/min[/tex]

so:

[tex]\omega=2\pi (\frac{1}{30})[/tex]

[tex]\omega=\frac{\pi}{15} rad/min [/tex]

and

b= radius, so

b=A

b=67.5m

so we can now build our equation:

[tex]y=-67.5cos(\frac{\pi}{15} t)+67.5[/tex]

which can be factored to:

[tex]y=-67.5[cos(\frac{\pi}{15}t)-1][/tex]

You can see a graph of what the function looks like in the end on the attached picture.

The required sinusoidal equation is  [tex]y = -67.5 (cos\dfrac{\pi t}{15} -1)[/tex]

Given that,

It has a diameter of 135 meters and makes one revolution (counterclockwise) every 30 minutes.

It is constructed so that the lowest part of the Eye reaches ground level, enabling passengers to simply walk on to, and off of, the ride.

We have to find,

A sinusoidal  which models the height h of the passenger above the ground in meters t minutes after they board the Eye at ground level.

According to the question,

The tourists will start at the lowest point of the trajectory, which means we can make use of a -cos function. So the function will have the following shape:

[tex]y = -Acos(wt) + b[/tex]

Where,  A=amplitude ,  [tex]\omega[/tex] = angular speed, t= time (in minutes) , b= vertical shift.

Then,

[tex]Radius = \dfrac{diameter}{2}\\\\Radius = \dfrac{135}{2}\\\\Radius = 65.5m[/tex]

The frequency is the number of revolutions it takes every minute is determined by the formula is,

[tex]\omega = 2\pi f[/tex]

Where,

[tex]f = \dfrac{1}{30} revolution \ per \ minute[/tex]

Then,

[tex]\omega = 2\pi \times \dfrac{1}{30}\\\\\omega = \dfrac{\pi }{15}\ radian \ per\ minute[/tex]

Here, The sinusoidal equation can be written as;

[tex]y = -67.5cos\dfrac{\pi t}{15} + 67.5\\\\y = -67.5 (cos\dfrac{\pi t}{15} -1)[/tex]

Hence, The required sinusoidal equation is  [tex]y = -67.5 (cos\dfrac{\pi t}{15} -1)[/tex]

To know more about Frequency click the link given below.

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Answer:

$180

Step-by-step explanation:

Answer:

Radius =  6.40

Diamater - 12.70

Step-by-step explanation:

hope this helped!

The diameter and radius of a circle to the nearest hundredth with the given circumference, C = 40 inches is 12.73 inches and 6.37 inches.

Circumference of a circle is defined as the total length of the boundary of the circle.

The concept is same as the perimeter for straight sided figures.

The formula to calculate the circumference of the circle is given by,

Circumference = 2πr

Here r is the radius of the circle.

Given C = 40 inches

2πr = 40

πr = 40 / 2

πr = 20

r = 20/π = 6.366 ≈ 6.37

Diameter = 2 × radius = 2r = 12.732 ≈ 12.73

Hence the diameter and radius are 12.73 inches and 6.37 inches.

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Answer:

A

Step-by-step explanation:

Answer:

the salesperson earned 5% which is; $26.5 then subtract 26.5 from the total made to find out how much the store made which is: $503.5

Step-by-step explanation:

Answer:

D. a translation right 10 and up 9

Step-by-step explanation:

In order to find the translation, you can take two corresponding points and find the difference in their x's and y's. For example, I'll use N and N':

Step 1) N (-3, -5) and N' (7, 4)

Step 2) difference in y: 4 - (-5) = 9; difference in x: 7 - (-3) = 10

Step 3) a translation right 10 units and up 9 units

1) identify what coordinates points N an N' are

2) find the difference in the points

3) identify whether he shape moved up or down, and left or right. You can see it moved up and right, so you you can tell it moved up 9 since that's the difference in y's and right 10 since that's the difference in x's

Answer:

x=177

Step-by-step explanation:

vertically opp angles are equal so 149=x-28, to find x you do 149 +28 whiichis 177

Answer:

y=9x+7

Step-by-step explanation:

the number in front of x is always the slope and the number after it is the Y intercept where the line first crosses the Y axis

Answer:

No simple

Step-by-step explanation:

So... I have looked at this question I see that you use the right angle of 90 degress and the times that by 9x

                                                     ^

                                                     2

With the factor of mostly what you are learning so that shows that negavtive -65 and 8, 1, 9,3 so the answer is...................... dun dun dun dun your gonna have to scroll for it hahahahah

cold

warmer but still cold

heheheh

nope

THE ANSWER IS: I DON'T KNOW How great is that?!

Answer:

Step 2: 4x - 6 = 10 + 2x

Step-by-step explanation:

2 needs to be distributed to all terms inside the parentheses.

Answer:

Step 2 is wrong, and the right step 2 is 4x − 6 = 10 + 2x

Step-by-step explanation:

The student didn't multiply 2(3) in step 2

Answer:

y = 2x + 8

Hope this helps

Answer:

Step-by-step explanation:

30 students / 5 = 6

Answer:

8 - 2n > 18

Step-by-step explanation:

8 less than 2 * a number so represent it with a variable 8 - 2*n

then more than so > 18