State the coordinates of the key feature of the parabola that you can obtain from the equation ( the y-intercept , the vertex or the c- intercept (s))

Answer:

28.4

Step-by-step explanation:

10.5x2= 21

3.7x2= 7.4

21+7.4 = 28.4

Answer:

[tex]\left(1 - \sin^{2}(x)\right)^{2}[/tex].

Step-by-step explanation:

Notice that "[tex]1[/tex]" is equal to "[tex]1^{2}[/tex]" whereas [tex]\sin^{4}(x) = {\left(\sin^{2}(x)\right)}^{2}[/tex]. Therefore:

[tex]\begin{aligned} & 1 - 2\, \sin^{2}(x) + \sin^{4}(x) \\ =\; & 1^{2} - 2\, \sin^{2}(x) + {\left(\sin^{2}(x)\right)}^{2}\end{aligned}[/tex].

Make use of the identity [tex](a - b)^{2} = a^{2} - 2\, a\, b + b^{2}[/tex]. In this case, set [tex]a = 1[/tex] whereas [tex]b = \sin^{2}(x)[/tex]. Therefore:

[tex]\begin{aligned} & 1^{2} - 2\, \sin^{2}(x) + {\left(\sin^{2}(x)\right)}^{2} \\ =\; & a^{2} - 2\, a\, b + b^{2} \\ =\; & (a - b)^{2} \\ =\; & {\left(1 - \sin^{2}(x)\right)}^{2}\end{aligned}[/tex].

Answer:

$10

Step-by-step explanation:

4 x 5 = 20

But then we need to subtract the $10 the tattoos cost.

So the amount of money they made was $10.

Hope this helps!

Answer:

$20

Step-by-step explanation:

$4 × 5 = $20

basically just multiply 4 by 5

Answer:

The answer should be 2

Step-by-step explanation:

P

r

=

n

!

(

n

−

r

)

!Subtract

1

from

2

.Simplify

2

!

(

1

)

!

.

Answer:

The scale factor is 5

Step-by-step explanation:

To find the scale factor, we divide 17 by 3.4 to find how much it was enlarged by.

17/3.4 = 5

We do this becuase when finding the scale factor, we take the dilated shape/side length and divide it by the original shape/side length.

Answer:

A. 0.11111

B. 17/100

C.0.232323

D. 6/9 or 2/3

E. 1.8888889

F. 4/11

G. 1.45454545

H. 3/100

Step-by-step explanation:

Convert them to fractions and decimals

We will see that for the given vectors:

Remember that the dot product between two vectors:

a = (x₁, y₁) and b = (x₂, y₂) the dot product is:

a.b = x₁*x₂ + y₁*y₂ = |a|*|b|*cos(θ).

a) We have:

v = (3,-4) and w = (1,2)

The dot product will give:

v.w = 3*1 + (-4)*2 = 3 - 8 = -5

b) We will have:

|v|*|w|*cos(θ) = -5

Where:

Then we have:

5*√5*cos(θ) = -5

cos(θ) = -1/√5

θ = Acos(-1/√5) = 116.57°

The angle between the two vectors is 116.57°.

If you want to learn more about vectors, you can read:

https://brainly.com/question/3184914

Answer:

2x^2 + 3x - 7   (a= 2 , b= 3 , c= -7)

discriminant= b^2 - 4ac

                   = (3)^2 - 4(2)(-7)

                   = 9 + 56 = 65

The answer is D. 65

Hope this helps :)

Answer:

2a+2b=360

2(60)+2b=360

120+2b=360

2b=360-120

2b/2=240/2 divide by 2

b=120

step 2

2a+2b=360

2(60)+2(120)=360

120+240=360

360=360

2a+2b=360

2(75)+2b= 360

150+2b=360

2b=360-150

2b/2=210/2

b=105

step 2

2a+2b=360

2(75)+2(105)=360

150+210=360

360=360

Answer: the answer is 1 over 2 which is e

Step-by-step explanation: 4 and 2 and 3 equal 9 so 1 over 6 times 9 cubes equal 1.5 which is 1 over 2

Answer:

3/4

Step-by-step explanation:

two points are

(8,6) and (12,9)

formula :

(y2-y1)/(x2-x1)

(9-6)/(12-8) =

3/4

slope often means rate of change

in this graph

price changes as the number of lemon changes

in economics this graph is called the

supply curve

its called the law of supply

increases in price causes increase in the quantity supplied

if something is worth more, it will cause an increase in price which will cause people who want to make money to try supply more of it

quizlet

This answer was deemed incorrect, so sorry for posting this!

Answer:

(8,6)

Step-by-step explanation:

Refer to the graph below

The proof of d^2y/dx^2 - 2 cot x dy/dx +3y = 0 is determined as 6cos²xsinx - 3sin³x - ​6cos²xsinx  + 3sin³x = 0

The equation is given as;

[tex]\frac{d^2y}{dx^2} - 2\ cotx \ \frac{dy}{dx} \ + 3y = 0 \ \ ---(1)[/tex]

y = sin³x

y = sin³x

let u = sinx  (du/dx = cosx)

y = u³

dy/du = 3u²

[tex]\frac{dy}{dx} = \frac{dy}{du} \ .\ \frac{du}{dx} \\\\[/tex]

dy/dx = 3u² x cosx

dy/dy = 3sin²xcosx

y' = 3sin²xcosx

y' = 3sin²xcosx

let u = sin²x  (du/dx = 2sinxcosx)

    v = cosx  (dv/dx = -sinx)

[tex]y'' = \frac{d^2y}{dx^2} = V\frac{du}{dx} + U\frac{dv}{dx}[/tex]

y'' = 3[cosx(2sinxcosx) + sin²x(-sinx)]

y'' = 6cos²xsinx  - 3sin³x

Substitute first derivative and second derivative of y in equation (1)

[tex]\frac{d^2y}{dx^2} - 2\ cotx \ \frac{dy}{dx} \ + 3y \\\\(6cos^2xsinx \ - \ 3sin^3x) \ - \ 2(\frac{cosx}{sinx} )(3sin^2xcosx) \ + 3(sin^3x) \\\\6cos^2xsinx \ - \ 3sin^3x \ - 6cos^2xsinx \ + \ 3sin^3x = 0 \ \ proved[/tex]

Learn more about differentiation here: https://brainly.com/question/25081524

Answer:

chocolate chips: $3.75

walnuts: $2.5

Step-by-step explanation:

lets say chocolate chips cost x dollars and walnuts cost y dollars. we then have

6x + 5y = 35

2x + 3y = 15

multiply the second equation by 3 to get 6x + 9y = 45

subtract the 1st equation from the new equation to get 4y = 10, so y=$2.50

plug this value into the 2nd equation to get x=$3.75

7:obtuse angle

8:right angle

9:FDE, AFB

Answer:

-5015

Step-by-step explanation:

Sum of a Geometric Series (finite)

Step 1 : Finding n

Step 2 : Substitute the values in the Sₙ formula

Answer:

2

Add negative 4 to positive 6, which is 4 - 6 but backwards, and that gives you 2

Or subtract 0 by 4, then add 2 which is -4 because you are subtracting 4 by 0 instead of 0 by 4, which would be four.

[tex]way~1\\4 - 6 = 2\\\\way~2\\(0 - 4) + 6 = 2[/tex]

Answer: 336ft²

Step-by-step explanation:

The polygon in the image provided is a trapezoid.

The formula for the area of a trapezoid is [tex]A=(\frac{a+b}{2} )(h)[/tex]

Where

A is the area

a is one of the bases (24 for this)

b is the other base (32 for this)

and h is the height (12 for this)

Sub the values into the formula and solve

[tex]A=(\frac{24+32}{2} )(12)\\A=(\frac{56}{2} )(12)\\A=(28)(12)\\A=336[/tex]

Answer:

336

Step-by-step explanation:

24 x 12 = 288. 12 x 8 = 96 divided by 2 is 48. 288 + 48 = 336

Answer:

Step-by-step explanation:

Use the slope formula.

[tex]\Longrightarrow: \sf{\dfrac{y_2-y_1}{x_2-x_1} }[/tex]

Use the distance formula.

[tex]: \Longrightarrow \sf{\sqrt{\left(X_2-X_1\right)^2+\left(Y_2-Y_1\right)^2}}[/tex]

[tex]\sf{x_2=8}\\\\\\\sf{x_1=3}\\\\\\\sf{y_2=2}\\\\\\\sf{y_1=2}[/tex]

Rewrite the problem down.

[tex]\sf{\sqrt{\left(8-3\right)^2+\left(2-2\right)^2}}[/tex]

Solve.

Use the order of operations.

PEMDAS stands for:

Solve parentheses, first.

⇒ (8-3)²

⇒ 8-3=5

⇒ 5²+(2-2)²

⇒ (2-2)=0

⇒ 0²

Rewrite the problem down.

⇒ 5²+0²

Do exponents next.

⇒ 5²=5*5=25

⇒ 0²=0*0=0

⇒ 25+0

Add.

⇒ 25+0=25

You can also divide the numbers from left to right.

→ 25/5=5

I hope this helps. Let me know if you have any questions.

Answer:

perimeter is 36

Step-by-step explanation:

if x=3

then it turns into

Width 7-2(3)

length 5(3)+2

which equals

width 1

length 17

since it's a perimeter you add all four corners

which is 1+1+17+17=36

Answer:

38.7126

step-by-step explanantion:

so it's technically 33 percent off because the taxes is 7 percent.

and 33 percent of 57.78 is 19.0674. so 57.78-19.0674 will equal 38.7126

The original cost of the bathing suit without tax or the discount is $38.72.

The term "discount" refers to a pricing scheme in which a commodity's (goods or services) price is lower than its marked price. Simply said, a discount is a proportion of the advertised price.

The bathing suit is 40%off including 7% tax.This means that the discount of 40% includes the tax of 7%.Thus the discount without tax will be calculated by: 40%-7%=33%

Now we will calculate the discount without tax on the final cost of the bathing suit, i.e, 33% of the final cost.

[tex]\frac{33}{100} \times 57.78=19.06[/tex]

So, we get a discount of $19.06 on the final cost.Then the original cost of the bathing suit without the tax or the discount will be the final cost less than the discount: $57.78-$19.06=$38.72

So, the original cost of the bathing suit without tax or the discount is $38.72.

Learn more about discount here- brainly.com/question/843074

#SPJ2

Answer:

2 inches

Step-by-step explanation:

if there are 2 books that are 1 1/2 thick, the second thinnest book would be 1/12... the second thickest book im guessing would be 3 1/2, so you'd have 2 inches in between

Answer: the answer is, 2 and one half

Step-by-step explanation: I took the test. Please give brainliest

Answer:

-1.05

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

This is because of the slope and amount of earnings Tatiana has.

Tatiana gets 26 dollars added to her earnings every 2 hours

Sample: 16 + 26 = 42

The 16 represents the number of earnings that Tatiana gets/earns for hour 0.

If we were to graph the earnings of Tatiana meaning her time represents X and the earnings represent Y. We could clearly see that Tatiana earns more money than Darryl.