vertex (-3, -3), point (2,97) find equation of parabola in vertex form

Answer:

51°

Step-by-step explanation:

to find x, note that the sum of angles in a triangle is equal to 180°

x+ 63° +66° = 180° ( sum of angles in a triangle.)

x+129° = 180°

x= 180-129 = 51°

x= 51°

Answer:

12

Step-by-step explanation:

1/6  = 2/12     11/12 = 11/12

Answer:

12

Step-by-step explanation:

6 =3×2

12=3×2×2

Least common denominator = 3×2×2 = 12

Answer:

√3

Step-by-step explanation:

To recall trigonometric ratios, there is a special acronym known as sohcahtoa which stands for

Finding the angle [tex]\theta[/tex]

We are given that,

[tex] \displaystyle \sin( \theta) = \frac{ \sqrt{3} }{2} [/tex]

To find the angle [tex]\theta[/tex] , take inverse of sin of both sides,

[tex] \displaystyle { \sin}^{ - 1}( \sin( \theta) )= { \sin}^{ - 1} \bigg(\frac{ \sqrt{3} }{2} \bigg )[/tex]

with the help of unit circle,we acquire:

[tex] \displaystyle \boxed{\theta= {60}^{ \circ} }[/tex]

Finding [tex]\tan\theta[/tex]

simply plug in the value of theta:

[tex] \tan( {60}^{ \circ} ) [/tex]

using unit circle,we get:

[tex] \implies \tan( {60}^{ \circ} ) = \boxed{\sqrt{3} }[/tex]

and we're done!

Let's solve

[tex]\\ \rm\Rrightarrow sin\theta=\dfrac{\sqrt{3}}{2}[/tex]

[tex]\\ \rm\Rrightarrow \theta=sin^{-1}\left(\dfrac{\sqrt{3}}{2}\right)[/tex]

[tex]\\ \rm\Rrightarrow \theta=\dfrac{\pi}{3}[/tex]

Now

[tex]\\ \rm\Rrightarrow tan\theta=tan\dfrac{\pi}{3}[/tex]

[tex]\\ \rm\Rrightarrow tan\theta=\sqrt{3}[/tex]

Answer: x = 1/4

Step-by-step explanation:

Lo primero que harías es restar 7 de ambos lados de la ecuación debido a tu propiedad de igualdad, que te permite hacer esto.

24x+7=13

      -7   -7

24x=6

Ahora lo que harás es dividir ambos lados entre 24 para que puedas aislar x.

24x=6

/24    /24

x=6/24

Finalmente, puedes simplificar la fracción dividiendo el numerador y el denominador por 6.

x=6/6  /  24/6

x=1/4

Answer:

12 ft ^3

Step-by-step explanation:

I assume you are looking ofr the volume of this pyramid

V = 1/3 base area * height

base area = area of 3-4-5 triangle =  1/2 * 3 * 4 = 6   ft^2

so Volume is :

1/3  * 6 * 6 = 12 ft^3

Answer:

[tex]m=\frac{y-b}{x-a}[/tex]

Step-by-step explanation:

Considering no values were supplied, the most we can do here is rearrange the equation to get m on its own.

In the equation y - b = m(x - a), since (x - a) is multiplicative of m, we can divide this value to remove it from m's side. This leaves us with:

[tex]m=\frac{y-b}{x-a}[/tex]

Answer:

Step-by-step explanation:

To solve y-b=m(x-a) for m, divide both sides of this equation by (x - a):

           y - b

m = ---------------

          (x - a)

Answer: 4.71

Step-by-step explanation:

Answer:

5 pounds

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$100\\ r=rate\to 11\%\to \frac{11}{100}\dotfill &0.11\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &2 \end{cases} \\\\\\ A=100\left(1+\frac{0.11}{1}\right)^{1\cdot 2}\implies A=100(1.11)^2\implies A=123.21[/tex]

Answer:

G

Step-by-step explanation:

really look at the position of point A on the number line.

it is a little bit to the right of -2, but clearly to the left of -1 and especially 0.

so, A must be negative.

that eliminates already H and J.

remember, that e.g. -2 < -1.

so, seemingly "adding" something to the description of a value of a negative number makes that negative number even smaller.

-1 7/8 is for example NOT the same as -1 + 7/8.

it is the same as

-1 - 7/8 = -1 7/8

so, -1 7/8 is indeed smaller than -1.

but it is still larger than -2 (e.g -1 8/8 = -2).

therefore, only G makes sense.

Answer:

B

Step-by-step explanation:

y-y1=m(x-x1)

y+13=5(x+2)

The quotient of the provided division in which binomial is divided by a quadratic equation is x+2.

Quotient is the resultant number which is obtained by dividing a number with another. Let a number a is divided by number b. Then the quotient of these two number will be,

[tex]q=\dfrac{a}{b}[/tex]

Here, (a, b) are the real numbers.

The given division expression is,

[tex]\dfrac{x^2+3x+2}{x+1}[/tex]

Let the quotient of this division problem is f(x). Thus,

[tex]f(x)=\dfrac{x^2+3x+2}{x+1}[/tex]

Factor the numerator expression as,

[tex]f(x)=\dfrac{x^2+2x+x+2}{x+1}\\f(x)=\dfrac{x(x+2)+1(x+2)}{x+1}\\f(x)=\dfrac{(x+2)(x+1)}{x+1}\\f(x)={x+2}[/tex]

Thus, the quotient of the provided division in which binomial is divided by a quadratic equation is x+2.

Learn more about the quotient here;

https://brainly.com/question/673545

Answer:

its A. on edge 2023

Step-by-step explanation:

Answer:

Step-by-step explanation:

2925+ 7.2% of 2925

2925+0.072*2925

2925+210.60

=$3135.60(increased salary)

Answer:

$3135.6

Step-by-step explanation:

Answer:

A third degree or cubic polynomial with three terms. The constant term is -1/7, the leading term is -10x³ and the leading coefficient is -10

Answer:

x=1 y=4

(1,4)

Step-by-step explanation:

Find the area of the circle ( top)

Area = Pi x r^2 = 3.14 x 8^2 = 3.14 x 64 = 200.96 square inches.

Volume = area of top x height

Volume = 200.96 x 25 = 5,024 in^3

Answer: C. 5,024 in^3

Answer:

C

Step-by-step explanation:

Answer:

y = 9x

Step-by-step explanation:

Answer:

4.5x          OR           9/2x

Step-by-step explanation:

We know this is a lineasr equation isnce it is a straight line and goes by a slope factor.

We know that for every change in 9 on the y axis, there is a change of two on the x- axis. This slope is now 9/2

The equation can be 9/2x OR 4.5x depending on whether your teacher will accept decimal answers or fractional answers.

The statement that is true about the box plot is that More of the children were close to 12 years old than 6 years old.

A box plot is known to be a kind of plot that shows at least five-number that acts as the summation of all the set of a given data.

Conclusively, in the case above, the box plot is said to be showing the a lot of children whose age are close to 12 years old more than those who are 6 years old.

Learn more about  box plot from

https://brainly.com/question/14277132

Answer:

The answer is C

Step-by-step explanation:

Answer:

it is d because a budget is when u set an amount to spend. there for you be safe in a sertint amount.

Answer:

it is 1.7 hope it helps

Answer:

The Ruler won't fit.

Step-by-step explanation:

Remark

The way this is traditional done is to find the hypotenuse of 5 and 10 inches and use this result with the height. If that does not work, then other combinations can be used.

Hypotenuse (10 and 5 )

Formula

c^2 = a^2 + b^2

Givens

a = 10

b = 5

Solution

c^2 = 10^2 + 5^2        Expand

c^2 = 100 + 25           Add

c^2 = 125                    

Now use the Pythagorean Theorem a second time.

z^2 = x^2 + y^2

x^2 = 125

y^2 = 3^2

z^2 = 125 + 9

z^2 = 134

This is not large enough. A ruler is 12 inches long which would mean that z^2 should come to 144. I don't think any other combination is going to do much better.

In fact looking at it more closely all combinations will give z^2 = 134.

Answer:

426

Step-by-step explanation:

Subtract 247 from 673 to get 426

Answer:

426

Step-by-step explanation:

673

-247

_____

426

Answer:

10 Square feet or square meter

Step-by-step explanation:

Area of a triangle = bh / 2

b represents the base which is 4

h represents the height which is 5

bh / 2 = 4 × 5 / 2

Area = 20 / 2

Area = 10

:. The Area of the triangle is 10 square feet or square meter

Answer:

444.83

Step-by-step explanation:

volume of a cone is given by the formula pi × r^2 × h × 1/3

by implementing the formula we get the answer which is 444.83

make sure to ask if you need any further guidance :)

Answer:

20 22 28 32 33 65 159

median =32

mean= 51.285714285