Question 2 of 10 The standard form of the equation of a parabola is y= x2 + 4x + 11. What is the vertex form of the equation? O A. y = (x - 2)2 + 18 OB. y = (x + 2)2 +7 O C. y = (x + 2)(x-2) + 7 O D. y = (x - 2)2 + 12 ​

9514 1404 393

Answer:

  your 3rd step should be x = -3

Step-by-step explanation:

When you combine the equations in step 2, you get ...

  5x = -15

Dividing by 5 gives the solution for x:

  x = -3

This is what your Step 3 should show. This is the value that is consistent with the remaining steps.

Answer:9514 1404 393

Step-by-step explanation:

[tex]924 - (383 + 356 + 2 + 5 )[/tex]

Answer:

Step-by-step explanation:

total no. of people in the theatre = 924

men=383

women=356

boy children =2

doing workout 5

total=746

no. of girls= 924-746=178

Therefore, the number of girls are in the theatre are 178.

Answer:

153.94

Step-by-step explanation:

A=πr2=π·72≈153.93804

hope this helps!

please mark brainiest<3

Note: Consider x be the breadth of the box.

Given:

The surface area of the box is 204.25 square feet.

Length of the box = 10 ft

Breadth of the box = x ft

Height of the box = 6.5 ft

To find:

The value of x.

Solution:

The surface area of a cuboid is:

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

Where, l is length, b is breadth and h is height of the cuboid.

Putting [tex]SA=204.25,  l=10,\ b=x,\ h=6.5[/tex] in the above formula, we get

[tex]204.25=2(10\times x+x\times 6.5+6.5\times 10)[/tex]

[tex]204.25=2(10x+6.5x+65)[/tex]

[tex]204.25=2(16.5x+65)[/tex]

Using distributive property, we get

[tex]204.25=2(16.5x)+2(65)[/tex]

[tex]204.25=33x+130[/tex]

[tex]204.25-130=33x[/tex]

[tex]74.25=33x[/tex]

Divide both sides by 33.

[tex]\dfrac{74.25}{33}=x[/tex]

[tex]2.25=x[/tex]

Therefore, the correct option is B.

Answer:

75.36 yd² (≈ 75.4 yd²)

Step-by-step explanation:

GIVEN :-

TO FIND :-

GENERAL FORMULAE TO BE USED IN THI QUESTION :-

Lets say there's an arc which subtends θ angle in the center of the circle & radius of the circle is 'r'.

Area of the sector = [tex]\frac{\theta}{360} \times \pi r^2[/tex]

SOLUTION :-

Area of the sector = [tex]\frac{\theta}{360} \times \pi r^2[/tex]

                              [tex]= \frac{135}{360} \times \pi (8)^2[/tex]

                              [tex]= \frac{3}{8} \times 64 \times 3.14[/tex]

                              [tex]= 3 \times 8 \times 3.14[/tex]

                              [tex]=75.36 \; yd^2[/tex]

Answer:

The cosine function is: adjacent/hypotenuse = cos (40). We know the hypotenuse length is 10, so the equation is now adjacent/10 = cos (40). Solving for adjacent length we get 7.7 inches.

Answer:

the answer is B: 7.7 inches

Step-by-step explanation:

did the test go 100%

Answer:

2 non real solutions.

Step-by-step explanation:

We need to use discriminant,

for ax²+bx+c=0

The discriminat is b²-4ac

If the discriminant is,

→ less than 0, then 0 real solutions

→ equal to 0, then 1 real solutions

→ more than 0, then 2 real solutions

Given that,

7x²−4x+3=0

a=7, b=-4, and c=3

→ (-4)²-4(7)(3)

→ 16-84

→ -68

You can see this is less than 0, then non real solutions. [2 nonreal solutions]

Answer:

Solution given:

7x²-4x+3=0

taking common 7

7(x²+4/7*x+3/7)=0

x²+2*x*2/7+(2/7)²-(2/7)²+3/7=0

(x+2/7)²=-17/49

x+2/7=[tex]\sqrt{\frac{17}{49}}[/tex]

x=±√(17)/7-2/7

taking positive

x=√(17)/7-2/7

x=0.39

taking positive

x=-√(17)/7-2/7

x=-0.87

2:unreal number

Answer:

its 238,535km²

Step-by-step explanation:

i hope it helps alot

What is the area of Ghana?

ඞ Ghana covers an area of [tex]\sf\purple{238,535\: km²}[/tex].

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]

Answer:

Number of  degrees of freedom = 2

Step-by-step explanation:

The degree of freedom in such type of chi-Square test depend on the number of phenotypes of the a particular species produced in a given cross.

Here the total phenotype number is three i.e yellow, purple, or red

Hence, the number of  degrees of freedom = total number of phenotype - 1

Number of  degrees of freedom = total number of phenotype - 1

Number of  degrees of freedom =  3-1

Number of  degrees of freedom = 2

Answer:

3 :2.

Step-by-step explanation:

1.5 : 1

Multiply both numbers by 2:

i this gives 3:2

Let the numbers be n, n+2, n+4

Sum equals too= 13+2(n+4), which is 2n+21

a) Equation--> n+n+2+n+4= 2n+21

b) Solution--> 3n+6= 2n+21

                      => n= 15

c) Second number--> 17 (15+2)

   Third number--> 19 (15+4)

d) 15+15+2+15+4=30+21

   => 51= 51

So, the equation is true.

And pls mark me brainliesttt :)))

Answer:

Step-by-step explanation:

let the length=x

width=y

P=2(x+y)=128

x+y=128/2=64

y=64-x

area A=xy=x(64-x)=64x-x²

[tex]\frac{dA}{dx} =64-2x\\\\\frac{dA}{dx} =0,gives~64-2x=0,x=32\\\frac{d^2A}{dx^2} =-2<0 ,at ~x=32[/tex]

so A or area is maximum if x=32

y=64-32=32

or it is a square of edge=32 meters.

Answer:

1. ASA, 2. SSS, 3. ASA

Step-by-step explanation:

1. It is given to us that these two triangles share two of the same angles. We can also see that they share a side together. 2 angles and a side means ASA.

2. It is given to us that these two triangles share two of the same side lengths. We can also see that they share a side together. 2 sides gives us SSS.

3. It is given to us that these two triangles share 1 of the same angles and 1 of the same side lengths. We can also see that they share a vertical angle, which by definition means they have the same measurement. 2 angles and a side gives us ASA.

Answer:

165 square ft

Step-by-step explanation:

Answer:

too blurry cant read it

Step-by-step explanation:

.........................................................

Answer:

1.2 hours

Step-by-step explanation:

Recall :

Distance = speed * time

Let the time taken = x

Creating an equation for the question :

Distance of train A + Distance of train B = 192

70 * x + 90 * x = 192

70x + 90x = 192

160x = 192

x = 192 / 160

x = 1.2

It takes 1.2 hours to be 192 miles apart.

Answer:

See below

Step-by-step explanation:

Feel free to be creative or even to come up with an activity you think your teacher has not seen before.

Liked that. So let's be creative.

Part 1: Record Information

Spend a short amount of time (one to five minutes) doing your activity. Answer the following questions:

1. What was the activity?

I am from Japan and practice Kendo (feel free to search about it). Suppose you are doing suburi. You did 100 joge suburi.

2. How long did you spend doing your activity?

Suppose it took you 5 minutes.

3. How much of the activity did you complete in the time period? (Example: I did 24 sit-ups in one minute.)

You did 100 joge suburi in 5 minutes. It means [tex]\dfrac{100}{5} = 20 \text{ per minute}[/tex]

4. Which of these variables is your dependent variable?

If you want to calculate how much suburi you did in an amount of time [tex]x[/tex], given the time in minutes, we can write the function

[tex]y = f(x)=20x[/tex]

Therefore, the dependent variable is the number of suburis. More precisely it is given by [tex]y[/tex]. On the other hand, the independent variable is [tex]x[/tex], the time.

Considering the example: I did 24 sit-ups in one minute.

sit-ups is the dependent variable and the number of minutes represents the independent variable.

Note: The number of sit-ups will depend on the time. 24 is the coefficient. In this case, the function would be

[tex]g(x) = 24x[/tex]

5. Which one is the independent variable?

The time in minutes.

6. Write a sentence that describes the relationship between the dependent variable and the independent variable. (Hint: Ratio language can help.)

You can write: The ratio of suburi done is 100:5 or 20:1 because for every 1 minute passed you did 20 suburis.  

Part 2: Prepare a Table

Assuming that you could complete the activity at the same rate over different time periods, how much of the activity could you complete in two minutes, three minutes, four minutes, and five minutes? (Note: If you spent two minutes doing your activity, then you should edit the table below and use multiples of 2 up to 10).

You may use the table below for your variables.

Time (minutes)          Quantity of suburi

0                                         0

1                                          20

2                                         40

3                                         60

4                                          80

5                                         100

Part 3: Prepare a Graph

Create a graph to show your relationship. Make sure you include all the parts for a graph and show the data clearly. Include a title for the graph and label the x- and y-axes.

This part I will let it to your. But is is just a linear graph.

Part 4: Write an Equation

Based on your recorded values, write an equation that represents the relationship between the time you spent doing the activity and the amount of the activity you completed. Make sure to define your variables.

[tex]y = f(x)=20x, \forall x \in\mathbb{Z}_{\geq 0}[/tex]

[tex]y: \text{number of suburis}[/tex]

[tex]x: \text{time}[/tex]

7. If you were able to maintain this rate of your activity for 12 minutes, how much of the activity would you be able to complete?

For [tex]x=12[/tex]: [tex]y = f(12)=20\cdot 12 = 240[/tex]

240 suburis

8. How long would it take you to reach 100 for the number of times you did your activity?

5 minutes.

9. Which representation do you believe is the best way to share this information with someone else? This is your opinion. No answer is right or wrong.

The function is the best because it describes all the variables easily.

Answer:

A) DC equals EC times AC all over BC.

Step-by-step explanation:

We know that:

[tex]DE\parallel AB[/tex]

Then by corresponding angles:

[tex]\angle CAB\cong \angle CDE\text{ and } \angle CBA\cong \angle CED[/tex]

So, by AA-Similarity:

[tex]\Delta CDE\sim \Delta CAB[/tex]

Corresponding sides of similar triangles are in proportion. Hence:

[tex]\displaystyle \frac{DC}{AC}=\frac{EC}{BC}[/tex]

By multiplying both sides by AC:

[tex]\displaystyle DC=\frac{EC\cdot AC}{BC}[/tex]

DC is equal to EC times AC over BC.

Hence, our answer is A.

Answer:

 DC equals EC times AC all over BC

Step-by-step explanation:

Answer:

it the first diagram for this question.

Answer:

Substitute the values give into the nth term of the arithmetic progression and solve this the steps are give above in the picture

Answer:

A = 60° , B = 30°

Step-by-step explanation:

[tex]sin(A+B ) = 1\\\\\ \ \ (A + B) \ = \ \ sin^{-1} 1\\\\A + B = 90^\circ --(1)\\\\ \ tan (A - B) = \frac{1}{\sqrt{3}}\\\\(A-B) = tan^{-1}\frac{1}{\sqrt3}}\\\\A - B = 30^\circ --(2)\\\\ (1) + (2) => 2A = 120^\circ\\[/tex]

                   [tex]A = 60^\circ[/tex]

[tex]from \ (1) \\A + B = 90^\circ\\60^\circ + B = 90^\circ\\B = 90^\circ - 60^\circ\\B = 30^\circ[/tex]

Answer:

C

Step-by-step explanation:

Consecutive numbers are directly next to each other on the number line, so B is already out of the question. Add each pair together to see which one is 131.

Answer:

C. 65 and 66

Step-by-step explanation:

Let x be first number

Then x + 1 be next number

x + (x + 1) = 131

2x + 1 = 131

2x = 130

x = 65

x + 1 = 66

Answer:

b. No, there was no difference between Morning (M= 32), and Evening (M=40.625), (t [7] = 1.15, p > .05).

Step-by-step explanation:

The critical value for one tailed test is t ∝(7) > 1.895

A one tailed test is performed to test the claim that advertisements were viewed more in the morning (before noon) or in the evening (after 5pm)

The null and alternative hypotheses are

H0: μm = μe   vs     Ha μm > μe

where μm is the mean of the morning and μe is the mean of evening.

The calculated value of t = -1.152587077  which is less than the critical region hence the null hypothesis cannot be rejected .

P(T<=t) one-tail 0.143458126 > 0.05

If two tailed test is performed the critical region is t Critical two-tail 2.364624252

and the calculated t value is  -1.152587077  which again does not lie in the critical region .

Hence μm =  μe or    μm ≤ μe

P(T<=t) two-tail 0.286916252  > 0.025

Therefore

b. No, there was no difference between Morning (M= 32), and Evening (M=40.625), (t [7] = 1.15, p > .05).

Option b gives the best answer.

Answer:

24 and 32

Step-by-step explanation:

Let their present ages be x and y

Therefore, x

[tex] \frac{x}{y} = \frac{3}{4} [/tex]

we have 4x = 3y

4x - 3y = 0......................(I)

After four years,

[tex] \frac{x + 4}{y + 4} = \frac{7}{9} [/tex]

we have, 9(x + 4) = 7(y + 4)

9x + 36 = 7y + 28

9x - 7y = -8 ........................(ii)

Solving (I) and (ii) simultaneously

4x - 3y = 0

9x - 7y = -8

multiply eqn I by 9 and equation (ii) by 4 and subtract result

36x - 27y = 0...............(iii)

36x - 28y = -32...........(iv)

subtracting (iv) from (iii) we have,

y = 32

substituting y back in equation (I)

4x - 3y = 0

4x -3(32) = 0

4x - 96 = 0

4x = 96

x = 24

Their ages are 24 and 32

Answer:

125 ov?/70*5

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

70+5f=125. [exterior angle is equal to sum of interior opposite angles]

5f=125-70

5f=55

f=11

h(5) means the value of h(x) at x = 5. So what we have to do is to substitute x = 5 in the function.

We are given the function h(x) below:

[tex] \large{h(x) = \frac{6}{x - 3} }[/tex]

Substitute x = 5 in the equation.

[tex] \large{h(5) = \frac{6}{5 - 3} \longrightarrow \frac{6}{2} }[/tex]

Simplify in the simplest form.

[tex] \large{h(5) = \frac{3}{1} \longrightarrow 3}[/tex]

Thus h(5) is 3.

Answer

Hope this helps! Let me know if you have any doubts.