find the x-coordinate of the vertex of the function given below. y = x^2 + 12x + 21

Answers

Answer 1

Answer:

(-2,13;-0,02)

and

(-9,87;-0,02)


Related Questions

find the length of side x in simplest radical form with a rational denominator.

Answers

Answer:

[tex]3\sqrt{3}[/tex]

Step-by-step explanation:

In all 30-60-90 triangles, the side lengths are in the ratio [tex]x:x\sqrt{3}:2x[/tex], where [tex]x[/tex] is the side opposite to the 30 degree angle and [tex]2x[/tex] is the hypotenuse of the triangle. Since the side opposite to the 30 degree angle is marked as 3, the value of [tex]x[/tex] must be [tex]\boxed{3\sqrt{3}}[/tex].

Alternatively, we can use basic trig. for a right triangle to solve. In any right triangle, the tangent of an angle is equal to its opposite side divided by its adjacent side. Thus, we have:

[tex]\tan 60^{\circ}=\frac{x}{3},\\x=3\tan 60^{\circ}=\boxed{3\sqrt{3}}[/tex]

Answer:

Step-by-step explanation:

The tangent of a 60 degree angle = Sin(60) / Cos(60)

Sin(60) = Square root (3) / 2

Cos(60) = 1/2

Tan(60) = √3 / 2 // 1/2   Invert the denominator and multiply

Tan(60) = √3/2 * 2/1

Tan(60) = √3

Tan(theta) = opposite / adjacent

Tan(theta) = x/3 in this case

Tan(60) = √3 = x/3

x = 3*√3

Find the volume of the triangular prism.

Answers

Answer:

18 i think

Step-by-step explanation:

ming mile from his house to the library and 2/3 mile from the library to the grocery store. of 11/12 mile it he goes from his house to the library to the grocery store. It is 1/4 Brandon claims that he walks a total of Which of the following shows whether Brandon is correct and why or why not?

Answers

Answer:

Brandon is correct

Step-by-step explanation:

Brandon is running errands for his mother.

It is 1/4 mile from his house to the library and 2/3 mile from the library to the grocery store .

Brandon claims that he walked a total of 11/12 mile if he goes from his house to the library to the grocery store.

Distance from his house to the library = 1/4 mile

Distance from the library to the grocery store = 2/3 mile

Total distance Brandon walks from his house to the library to the grocery store = Distance from his house to the library + Distance from the library to the grocery store

= 1/4 + 2/3

Make both 1/4 and 2/3 have the same denominator to be able to add

The lowest common multiple (LCM) of 4 and 3 is 12

Therefore,

1/4 + 2/3

= (3+8)/12

= 11/12

Total distance Brandon walks from his house to the library to the grocery store = 11/12 mile

One integer is 10 more than another, Their sum is 4. What are the 2 integers? PLEASE HELP!

Answers

Answer:

The two integers are : -3 , 7

Step-by-step explanation:

Let the integers be x and y

Given one of the integer is 10 more than the other, Let x = y + 10 -----(1)

Also Given sum of integers . x + y = 4 ----------- (2)

Substitute ( 1 ) in (2)

x + y = 4

(y + 10) + y = 4

y + 10 + y = 4

2y + 10 = 4

2y = 4 - 10

2y = -6

y = -3

Substitute y = -3 in ( 1 ) : x = - 3 + 10 = 7

Plz help ill give u brainlyest

Answers

Answer:

416 feet squared

Step-by-step explanation:

Answer:

208 ft

Step-by-step explanation:

4*4+4*16+4*16+6*4+4*4+6*4

In ΔUVW, the measure of ∠W=90°, WV = 24, UW = 7, and VU = 25. What is the value of the sine of ∠U to the nearest hundredth?

Answers

Answer:

sinU = 0.96

Step-by-step explanation:

sinU = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{WV}{UV}[/tex] = [tex]\frac{24}{25}[/tex] = 0.96

A rectangular room is twice as long as its breadth and its perimeter is 48 m. Find the cost of carpeting its floor at Rs. 75 per sq.m. ​

Answers

If the breadth is x and the length is 2x, we know that the perimeter is 2x + x + 2x + x = 48. Which means 6x = 48 so x = 8

Now we can find the surface area because the length is 2x so we substitute the 8 in and we get the length to be 16, and the breadth to be 8 (because breadth = x and x = 8)

Total area = length x width = 16 x 8 = 128

HELP FAST TO WHOEVER CAN PLEASE !!

Answers

It was reflected across the x-axis

Choose the number(s), if any, that make the equation or inequality true from the following set of numbers: {3, 4, 7, 9,12,18,32}.
number one:1/3f=4
number two:1/3 f < 4
number three: m + 7 =20
number 4: m + 7 ≥ 20

Answers

Answer:-2

Step-by-step explanation:

3-6x (34 divided by3º)2

Answers

Answer:

3^-6(81)^2=3^-6(6561)=9 which is 3^2


Which theorem shows that ABC = DEF?*

Answers

Answer:

SAS Congruence Theorem

Step-by-step explanation:

In ABC. In DEF

AB. = DE. (Given side)

<BAC. = <EDF. (Given side)

BC. = EF. (Given side)

Hence,

Triangle ABC is congruent to Triangle DEF by SAS Congruence Theorem.

HELPPPPP!!! ASAPPPPP!!!!!

Answers

Answer:

12[tex]\sqrt{3}[/tex] / 24

Step-by-step explanation:

ΔXZW is a 30-60-90 triangle whose sides are in the ratio of 1 : [tex]\sqrt{3}[/tex] : 2, respectively

also, ΔXZW ≅ ΔYZW

so XW = 12

XZ = 24

WZ = 12[tex]\sqrt{3}[/tex]

cos ratio of ∡XZW is WZ/XZ which is:

12[tex]\sqrt{3}[/tex] / 24

I need help ASAP I wasn’t paying attention and lowkey forgot all of this

Answers

Answer:

35

Step-by-step explanation:

Only if u put x as 35 will the whole triangle sum equal 180 as necessary for the theorem to be true.

which of the following is equivalent to 2cos^2(x) - cos(2x)? A. sin(2x) B. Sin^2(x) C. 1 D. 2

Answers

Answer:

C. 1

Step-by-step explanation:

2cos²(x) - cos(2x) = 1

Answer:

C

Step-by-step explanation:

Using the identity

cos2x = 2cos²x - 1 , then

2cos²x = cos2x + 1

Given

2cos²x - cos2x

= cos2x + 1 - cos2x

= 1 → C

Calcula el ancho de un terreno rectangular si el largo mide 20 metros y la superficie es de 280 metros cuadrados

Answers

Answer:14 m

Step-by-step explanation:

Dada

larga [tex]l=20\ m[/tex]

superficie [tex]A=280\ m^2[/tex]

Suponga que el ancho es w

La superficie está dada por el producto de la longitud y la anchura.

[tex]\therefore A=lw\\\Rightarrow 280=20\times w\\\Rightarrow w=14\ m[/tex]

Por lo tanto, el ancho es de 14 m.

help ill give brainliest too

Answers

Answer:

a

Step-by-step explanation:

I think so..

1st one, as the outlier is 7 points away from the others.

Graph h(x)=-x^4 +3
Use the parabola tool then choose the vertex followed by one point on the parabola.

Answers

Hope this helps, the y intercept is 3 ans the x intercepts are +1.3 and -1.3

The y intercept is 3 and the x intercepts are +1.3 and -1.3

The graph is given below.

What is graph?

In mathematics, the graph of a function f is the set of ordered pairs, where {\displaystyle f(x)=y.} In the common case where x and f(x) are real numbers, these pairs are Cartesian coordinates of points in two-dimensional space and thus form a subset of this plane.

Here, we have,

h(x)=-x^4 +3

so, The y intercept is 3 and the x intercepts are +1.3 and -1.3

The graph is given below.

To learn more on graph click:

brainly.com/question/17267403

#SPJ2

A 3-column table with 5 rows. Column 1 is labeled Tickets with entries 2, 4, 6, 8, 10. Column 2 is labeled Total Cost for Aquarium with entries 29, 58, 87, blank, blank. Column 3 is labeled Total Cost for Wave Pool with entries 33.5, 67, blank, blank, blank.
Gale found out that the wave pool has a money-saving deal: if more than 4 people attend, the tickets are discounted from $16.75 each to $12.25 each.

Calculate to determine how much 6 tickets to the wave pool will cost.

$

Answers

Answer

What event will cost the least for 9 tickets?

the wave pool

How much less will this event cost?

$20.25

Hope it helps :)

Step-by-step explanation:

PLEASE HELPPPPPPPPPPPPP MEEEEEEEEEEEE

Answers

Answer:

7/24

Step-by-step explanation:

two minuses make a +,

meaning this equation is basically

-1/12+3/8

find a common denominator by LCM.

8,16,24,32

12,24,36,48

they share 24

denominator is 24

12*2 is 24, -1*2 = -2. 8*3 = 24 so we do 3*3 = 9

-2+9/24

7/24

Simplify the expression.
Exact Form:
7
24
7
24
Decimal Form:
0.291
¯
6

Brooke paints the outsides of the square walls and triangular ceilings of her treehouse. What area does she paint? Enter to your answer in the box

Answers

Answer: 252 ft^2

Explanation: The area of a square is 36, there are five squares which equals 180. Then you have to add the area of the four triangles, which one triangle has the area of 18. Which equals 72 for all the triangles. If you add 180 and 72 it equals 252

Determinants and inverses

Answers

Answer:

first qustion the last one .

second qustion the first one .

Find the volume. It’s a cilinder
6 in.
10 in

Answers

Answer:1130.97

Step-by-step explanation:

V=πr2h=π·62·10≈1130.97336

Simplify (2x^2 + 4x) - (7x - 3x^2 + 5)

Answers

Answer:

5x^2 - 3x -5

Step-by-step explanation:

You simplify the like terms

Remember to use distributive property to do the (7x-3x^2+5) part

Simplify 2x2x4. 7(234)0385

Complete the Steps to Solve the Equation -13x-11=-37

-13x-11=-37
-13x=

Answers

Uhhmmm sorry to my friend I have to go

Answer:

x=2

Step-by-step explanation:

-13x-11=-37                             Original equation

-13x=-26                                 Add 11 to both sides

x=2                                         Divide both sides by -13

What is the resulting ordered pair if the value of the independent variable is -1?

f(x)= -5x - 4x +2
A. (-1, 1)
B. (-1, 11)
C. (2,-6)
D. (1, -1)

Answers

The answer is B if on Plato

7x+40
5x+20
Find the value of x.

Answers

Answer:

x = - 10

Step-by-step explanation:

7x + 40 = 5x + 20

7x + 40 - 40 = 5x + 20 - 40

7x = 5x - 20

7x - 5x = 5x - 5x - 20

2x = - 20

2x ÷ 2 = - 20 ÷ 2

x = - 10

Can someone help me?It's urgent and thank you!

Answers

Answer:

$575.71

Step-by-step explanation:

A = 960(1-.12)^4

A = 960(.88)^4

A =575.71

Answer:

$575.71

Step-by-step explanation:

100-12=88

(0.88)⁴×960= 575.707

Helen draws a random circle.
She then measures its diameter and circumference.
She gets a circumference, C, of 405 mm correct to 3 significant figures.
She gets a diameter, d, of 130 mm correct to 2 significant figures.
Helen wants to find the value of n using the formula 1 =-

Calculate the lower bound and upper bound for Helen's value of it.
Give your answers correct to 3 decimal places.

Answers

Answer:

Lower Bound = 2.996

Upper bound = 3.244

Step-by-step explanation:

Find the range of the data.
The ages of kids playing at a park.
4,1, 3, 9, 6, 3, 2, 4
Range : ?
?]
Enter the number that helongs in the araon boy

Answers

Answer:

8

Step-by-step explanation:

write numbers in numerical order then subtract the highest number from the lowest number and you get the range.

(1,2,3,3,4,4,6,9)

9 - 1 = 8

Select the correct answer.

Simplify the expression 5^-3 x 5^-5

A 1/5^2

B -5^2

C 5^2

D 1/5

Answers

Answer:

A 1/5^2

Step-by-step explanation:

5^3 x 5^-5

We know that a^b* a^c = a^(b+c)

5^3 x 5^-5 = 5^(3-5)  = 5^-2

We also know that a^-b = 1/ a^b

5^-2 = 1/5^2

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