the area of the figure

Answer:

vertex: (0,3)

Axis of symmetry: x=0

y-intercept: (0,3)

x-intercept: n/a

min

A would be positive since the parabola opens at the top

Step-by-step explanation:

Answer:

0.15 miles per minute

Step-by-step explanation:

Average speed is in distance over time, so you could write:

1.5 miles / 10 minutes

Now, simplify:

.15 miles per minute

(hope this helps :-D)

Answer:

.15 miles per minute

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

9514 1404 393

Answer:

  a) see attachment

  b) base: 4, height: 4√3

  c) area: 16√3

Step-by-step explanation:

a) The figure is drawn in the attachment

__

b) The side lengths of a 30-60-90 right triangle have the ratio ...

  1 : √3 : 2

Multiplying these by 4 gives the side lengths of each triangle created by the diagonal. The base (short leg) is 4 units; the height (long leg) is 4√3 units.

__

c) The area is the product of base and height:

  A = bh

  A = 4(4√3) = 16√3 . . . . square units

That is correct.

Sqrt 5 x sqrt20

Apply the radical rule to get sqrt( 5 x 20)

Simplify to get sqrt(100)

Sqrt(100) = 10

Answer:

−6cos(  π/3  t)+21

Step-by-step explanation:

The length of the accordion  is −6cos(  π/3  t)+21.

We must figure out the periodic phenomenon's amplitude, period, and vertical shift in order to create a sinusoidal function that models it. Additionally, we must choose between using a sine or a cosine function and calculate the ensuing phase shift.

Given

A = 5+1 = 6

Shift = 21

ω =- π/3[because of 4th quadrant]

exp = Asin[-ωt] + shift

      =-Acosωt + shift = -6cosπ/3 t + 21

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Answer:

The options are not shown, so i will solve this in a general way.

Let's suppose that there are N nuts

If we divide the N nuts into groups of 5, there will be a remainder of 2 nuts.

If we divide the N nuts into groups of 3, there is no remainder.

This means taht N is a multiple of 3. then we can write:

N = 3*k

where k is a random integer.

Now, we know that when we divide N by 5, there is a remainder of 2 nuts, this means that N is equal to a multiple of 5 plus 2, then we can write:

N = 5*j + 2

where j is a random integer.

Now we only need to find a pair of k and j (both positive integers) such that:

3*k = 5*j + 2

We can rewrite this as:

k = (5/3)*j + (2/3)

Now we could just input different values of j, and see if k is also an integer:

j = 2

k = (5/3)*2 + 2/3 = 10/3 + 2/3 = 12/3 = 4

Then the pair j = 2, k = 4 is a possible solution.

N = 3*k = 3*4 = 12

N = 5*j + 2 = 5*2 + 2 = 12

From this we can conclude that N = 12, so Scrat has 12 nuts.

Now with the equation

k = (5/3)*j + (2/3)

We can find other possible combinations of j and k, that will give different values for N.

for example, if j = 5:

k = (5/3)*5 + 2/3 = 25/3 + 2/3 = 27/3 = 9

Then the pair j = 5, k = 9 is also a possible solution:

N = 3*k = 3*9 =  27

N = 5*j + 2 = 5*5 + 2 = 27

In this case, Scrat has 27 nuts.

Answer:

B. 112°

Step-by-step explanation:

4x -4 = (3x+4) + (2x-44)

4x -4 = 5x - 40

5x - 4x = -4 + 40

x = 36

∠BCA = 3 * 36 + 4 = 112

Answer

2.

Step-by-step explanation:

Answer:

x=20°

Step-by-step explanation:

The triangle is equilateral. (All sides are the same).

Each angle in an equilateral triangle is 60.

3x=60

x=20°

Step-by-step explanation:

Since the square is folded along its diagonal,

Perimeter of each triangle

= 2 * Side of square + Diagonal of square.

Side of square

= √(Area of square)

= √(49in²) = 7in.

Diagonal of square

= √(2 * Area of square)

= √(98in²) = 7√2in.

Hence we have 2 * 7in + 7√2in = 7(2 + √2) in.

Answer:

x = 14

Step-by-step explanation:

For complementary angles, the sum of two angles is equal to 90 degrees.

We have,

[tex]m\angle ABC = 4x-10\\\\m\angle DBC = x+30[/tex]

ATQ,

[tex]4x-10+x+30=90[/tex]

Taking like terms together,

4x+x =90-30+10

5x = 70

x = 14

So, the value of x is 14.

Answer:

The constant of proportionality is 5. It represents the cups of yellow paint needed for 1 cup of blue paint.

Answer:

[tex] \frac{29}{2} [/tex]

Answer:

proportional

Step-by-step explanation:

y= -7x

Answer:

Zeros → (-2, 0) and (4, 0)

Step-by-step explanation:

Equation of the graph has been given as,

y = [tex]\frac{1}{2}x^{2} -x-4[/tex]

For zeros of the function,

y = 0

Therefore, [tex]\frac{1}{2}x^{2} -x-4=0[/tex]

By solving the equation algebraically,

x² - 2x - 8 = 0

x² - 4x + 2x - 8 = 0

x(x - 4) + 2(x - 4) = 0

(x + 2)(x - 4) = 0

x = -2, 4

Therefore, coordinates of the zeros will be (-2, 0) and (4, 0).

Let's confirm the zeros (x-intercepts) from the graph attached,

Coordinates of the x-intercepts are,

(-2, 0) and (4, 0)

Answer:

probably cuz its in parentheses but there's no picture

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

Answer:

Ed will use 5 more peanut butter  than powdered sugar to make 3 batches of fudge(11-6=5)

Step-by-step explanation:

3 2/3 cups of peanut butter (x)

2 cups of powdered sugar(y)

for every one batch you need 2 cups, and for 3 batches you need 6 cups of powdered sugar(2*3=6)

and  for every batch you need 32/3 cups of peanut butter and for three batches you need (3 2/3 *3)= 11/3 *3=33/3=11 cups of peanut butter to make the fudge

Ed will use 5 more peanut butter  than powdered sugar to make 3 batches of fudge(11-6=5)

Answer:

59049 ways

Step-by-step explanation:

Given

[tex]Colors = 9[/tex]

[tex]Dogs = 5[/tex]

Required

Determine number of selection (repetition is allowed)

The number of collars is not given.

So, we'll assume that there are enough collars to go round.

If no repetition is allowed, each of the 5 dogs have 9 colours to select from.

i.e.

[tex]Dog\ 1 = 9[/tex]

[tex]Dog\ 2 = 9[/tex]

[tex]Dog\ 3 = 9[/tex]

[tex]Dog\ 4 = 9[/tex]

[tex]Dog\ 5 = 9[/tex]

So, the number of selection is:

[tex]Selection = 9 * 9 * 9 * 9 * 9[/tex]

[tex]Selection = 59049[/tex]

Answer:

A, B, D

Step-by-step explanation:

2 x 3x =6x - 2 times 9y which equals 18y+ and 2 times 18 equals 36 so 2(3x-9y+18)

Answer:

c  126.27 square feet

Step-by-step explanation:

sum of two triangles

18.3 * (13.8/2) * 2 = 126.27

Answer:

Just cut the tree down and stick it to the teachers.

Step-by-step explanation:

Answer:

I think A

Step-by-step explanation:

Answer: After 19 days, the dragon filled half of the cave.

Step-by-step explanation:

The dragon doubled in size every day and after 20 days he filled the cave.

So, one day before, the dragon occupied half of the cave.

20 - 1 = 19  [days]

After 19 days did the dragon half-fill the cave.

The dragon doubles in size every day, and after 20 days, it completely fills the cave.

To find out when the dragon half-filled the cave, we need to determine how many days it took for the dragon to reach half of the cave's capacity.

we know that,

On the 20th day, the dragon filled the entire cave.

and, The dragon doubled in size every day.

so, we have,

On the 19th day, the dragon's size would have been half of what it was on the 20th day.

On the 18th day, the dragon's size would have been half of what it was on the 19th day.

And so on...

We can see that every day before the 20th day, the dragon's size was halved.

So, on the 19th day, the dragon's size was half of the size it was on the 20th day.

Therefore, on the 19th day, the dragon half-filled the cave, and on the 20th day, it filled the entire cave.

Hence, After 19 days did the dragon half-fill the cave.

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Answer:

A) No...

Step-by-step explanation:

We can check if this triangle is a right triangle by using the Pythagorean Theorem.

Using 5 for a, 8 for b, and 12 for c, let's see if this satisfies the equation:

Simplify.

We can see that 89 ≠ 144, so this leaves us with answer choices A and B. I think you meant to write < for the last + sign.

Seeing as the sum of the two lengths of the triangle is greater than the third side length, this creates a normal triangle. This cannot be the correct answer choice since this only satisfies the requirements for a triangle, but not a right triangle.

This leaves us with answer choice A.  52 + 32 ≠ 122 and 52 + 32 < 122. (I'm not sure why the squares of the side lengths are not used, but this should be the correct answer.)

Answer:

(-4, 3)

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Where the 2 lines intersect would be the solution set to the systems of equations.