Using the graph, determine the coordinates of the vertex of the parabola.​

#1

[tex]\\ \sf\longmapsto (1+cosx)(1-cosx)[/tex]

[tex]\\ \sf\longmapsto 1-cos^2x[/tex]

[tex]\\ \sf\longmapsto sin^2x[/tex]

#2

[tex]\\ \sf\longmapsto \dfrac{1}{cot^2x}-\dfrac{1}{cos^2x}[/tex]

[tex]\\ \sf\longmapsto tan^2x-sec^2x[/tex]

[tex]\\ \sf\longmapsto 1[/tex]

The simplified form of each of th given Trigonometric expressions is given below.

Given are the trigonometric expressions.

{1} -

{1 + cos(x)}{1 - cos(x)}

{1² - cos²(x)}

sin²x

{2} -

{1/cot²(x) - 1/cos²(x)}

{sin²(x)/cos²(x) - 1/cos²(x)}

{sin²(x) - 1}/{cos²(x)}

{- cos²(x)/cos²(x)}

- 1

{3} -

sec²(π/2 - x){sin²(x) - sin⁴(x)}

sin²(x) {1 - sin²(x)} {1/cos²(π/2 - x)}

sin²(x) cos²(x) × 1/sin²(x)

cos²(x)

Therefore, the simplified form of each of th given Trigonometric expressions is given above.

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Answer:

-4

Step-by-step explanation:

Answer:4.5

Step-by-step explanation:(2x1)+(5/2) which equals 4.5

9514 1404 393

Answer:

Step-by-step explanation:

The problem statement gives two relations between x (jars of jam) and y (packages of bread mix).

  6x +5y = 45 . . . . . . total cost

  x + y = 8 . . . . . . . . . number of items

__

These equations can be solved a number of ways. Substituting for y, we get ...

  y = 8 -x

  6x +5(8 -x) = 45

  x +40 = 45

  x = 5 . . . . . . . . . jam

  y = 8 -5 = 3 . . . mix

There are 5 jars of jam and 3 packages of bread mix in the gift basket.

Answer: 4 batches

Step-by-step explanation: 1/8 + 1/8 +1/8 +1/8 is the same as 1/2. Each 1/8 represents 1 batch. (1/8*4=4/8 which is equivalent to 1/2)

Answer:

no solution

Step-by-step explanation:

- 4(x + 2) = - 4x - 5 ← distribute parenthesis on left side by - 4

- 4x - 8 = - 4x - 5 ( add 8 to both sides )

- 4x = - 4x + 3 ( add 4x to both sides )

0 = 3 ← False statement

This indicates the equation has no solution

9514 1404 393

Answer:

  yes

Step-by-step explanation:

The parent function e^x has a horizontal asymptote at y=0.

If they get unexpected results they could note what they could've done wrong or what they could change in a next trail of experiments. Or look back and see what different happened to they could've hypothesized. There could be many different courses on what to do next.

Answer:

Out of 36 cubes on each face, the 16 cubes not on an edge are the only ones frosted on a single face. 16 on each face x 6 faces = 96 cubes frosted on one face.

Step-by-step explanation:

Hope it helps!

There are 64 cubes that are frosted on one side only.

"A Cube is a solid three-dimensional figure, which has 6 square faces, 8 vertices and 12 edges. It is also said to be a regular hexahedron."

"Shapes in three-dimensions or as we view them in real life are called 3D shapes. Examples of 3D shapes are cubes, cuboids, spheres, cylinders, cones and frustum of cones."

Each face will have three types of cubes on it:

1. Corner Cubes - Frosted on three adjacent sides

2. Edge Cubes - Frosted on two adjacent sides and on the edge between two corner cubes.

3. Central Cubes - Frosted on one side and in the middle of all edges of the face.

Thus, the number of cubes that have only one side as frosted are the total number of central cubes. They can be calculated as follows for all 6 faces:

[tex]Cubes_{central}[/tex] = (6−2)(6−2)+(6−2)(4-2)+(6−2)(4−2)+(6−2)(6−2)+(6−2)(4−2)+(6−2)(4−2)

= [tex]2 (4)^{2}+4(4)(2)[/tex]

= 32+ 32

= 64

Thus there are 64 cubes that are frosted on one side only.

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Answer:

C

Step-by-step explanation:

Use the vertical line rule to see if a graph is a function

Answer:C

Step-by-step explanation: no x values repeat. It passes the vertical line test

Answer: (x + 2) (x - 3)

Step-by-step explanation:

x^2 - x - 6

x^2 - 3x + 2x - 6

x(x - 3) + 2(x -3)

(x+2) (x-3)

hope you like my answer its -8

Step-by-step explanation:

a diameter is always twice the radius.

the only pairs I can see in the list, where one number is twice the other :

2.5 and 5

7.6 and 15.2

so,

2.5 is the radius of A

5 is the diameter of A

7.6 is the radius of B

15.2 is the diameter of B

15.7 is then the circumference of A (as the smaller of the remaining 2 numbers)

47.7 is the circumference of B

we can also check via the formula for circle circumference :

c = 2×pi×r

and yes, the rounded c for r=2.5 is 15.7, and for r=7.6 is 47.7

Answer:2.4

Step-by-step explanation:

area = pi* r^2

18.1 /3.14=r^2

5.76 =r^2

Now root square

Answer:

2.4 km

Step-by-step explanation:

πr²=18.1 km²

18.1/3.14=5.76km²

576/100

24/10=2.4km

Answer:

a = 3/4

Step-by-step explanation:

Given the vertex, (3, -1) and the other point, (5, 2):

We could substitute these values into the vertex form of the quadratic equation:

y = a(x - h)² + k

Where:

(h, k ) = vertex

a = determines whether the graph opens up or down, and makes the graph wider or narrower.  

h = determines how far left or right the parent function is translated.

k =  determines how far up or down the parent function is translated.

Substitute the vertex, (3, -1) and point (5, 2) into the vertex form to solve for "a":

y = a(x - h)² + k

2 = a(5 - 3)² - 1

2 = a(2)² - 1

2 = a(4) - 1

Add 1 to both sides:

2 + 1 = a(4) - 1 + 1

3 = 4a

Divide both sides by 4 to solve for a:

3/4 = 4a/4

3/4 = a

Therefore, the value of a = 3/4. Since the value of a is positive, and that it is between 0 and 1, then it means that the graph opens upward and is wider than the parent function.

The quadratic equation in vertex form is: y = 3/4(x - 3)² - 1, where a = 3/4.

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Answer:

It's 6 to the left and 8 down

Answer:

You are 62 years old

Step-by-step explanation:

Let's set up an equation:

400 - 3a = 214 ( let a be your age)

Add 3a to each side:

400 = 214 + 3a

Subtract 214 from each side:

186 = 3a

Divide each side by 3:

62 = a

Answer:

(−x)(x+5)(x+5)(x+5)

Step-by-step explanation:

Answer:

the lines are perpendicular

Step-by-step explanation:

you can simplify 2x+8y=16 so thats how i got the lines are perpendicular

Answer:

Step-by-step explanation:

Answer:

[tex]y = \frac{2}{3}x - \frac{4}{3} [/tex]

Step-by-step explanation:

first find the slope using the above points then use the slope formula to calculate the slope

[tex]m = \frac{y2 - y1}{x2 - x1} \\ \frac{2 - - 4}{5 - - 4} = \frac{2 + 4}{5 + 4} = \frac{6}{9} = \frac{2}{3} [/tex]

substitute ⅔ for m and one of the above points into the y-intercept form of the equation for a line and solve for b

[tex]y = mx + b \\ 2 = \frac{2}{3} (5) + b \\ 2 = \frac{10}{3} + b \\ 2 - \frac{10}{3} = b \\ \frac{6}{3} - \frac{10}{3} = b \\ b = - \frac{4}{3} [/tex]

substitute the slope and the value for b into the equation to get the answer

[tex]y = \frac{2}{3} x - \frac{4}{3} [/tex]

Ok,so i did the math and the answer is 6

Answer:

yes

Step-by-step explanation:

come with your money

Answer:

36 cookies- number alfred has

Step-by-step explanation:

x+9x=40

10x=40

x=4 = number of cookes jerry has

9 * 4= 36 cookies- number alfred has

Two hundered five thousand, twenty-eight and one half

Answer:

52

Step-by-step explanation:

38+14=52

Hope that helps

Answer:

E

Step-by-step explanation:

E. 8 x 9.62 = 76.96

Estimate 76.96, it will be 80

Answer:

j = $1.20

Step-by-step explanation:

26.44 (total cost) - 2.44 (cost of chips) = 24

$24 dollars (cost of pack of juice bottles) divided by 20 (number of juice bottles in the pack = 1.2

The required equation for the cost of 20 juice bottles is x = (26.44 - 2.44) / 20 and costs $1.2.

She bought a bag of chips for $2.44 and a 20-pack of juice bottles.
The total cost before tax was $26.44.
To determine and solve an equation that can be used to determine j, how much each bottle of juice costs.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here,
Let the cost of the bottle be x,
According to the question,
2.44 + 20x = 26.44
20x = 26.44 - 2.44
x = [24] / 20

x = $1.2

Thus, the required equation for the cost of 20 juice bottles is x = (26.44 - 2.44) / 20 and costs $1.2.

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Answer:

35 3x3=9 5x5=25 9+25=34

Step-by-step explanation:

Make this brainliest please and thank you

Answer:

53

Step-by-step explanation:

The sum of the squares of the digits is 34 -- they're likely 25 and 9, which means 5 and 3 for the numbers. The units is 2 less than the tens, so the only answer is 53.