How many equilateral triangles are there in a regular hexagon.

Answer:

I also searched it before.

Answer:

a = 1

b = 2

k = -2

Step-by-step explanation:

Given:

[tex]\displaystyle \large{y=k(x-a)^2(x-b)}[/tex]

First, find the a-value and b-value by observing the graph. Notice that once the graph hits x = 1, it just goes up or concave up - that indicates to be the double roots of function. Therefore:

Our a-value is 1

Second, find the b-value. Another x-intercept beside double roots x = 1 is x = 2 as shown in the graph. Therefore:

Our b-value is 2

Third, find the k-value. Right now we have the equation:

[tex]\displaystyle \large{y=k(x-1)^2(x-2)}[/tex]

To find the k-value, simply find a point’s value (x,y) to substitute. According to the graph, you can try substitute (0,4) in:

[tex]\displaystyle \large{4=k(0-1)^2(0-2)}\\\displaystyle \large{4=k(-1)^2(-2)}\\\displaystyle \large{4=k(1)(-2)}\\\displaystyle \large{4=-2k}\\\displaystyle \large{k=-2}[/tex]

Therefore, the value of k is -2

[tex]~~25x^2-16=0\\\\\implies (5x)^2 -4^2 =0\\\\\implies (5x+4)(5x-4)=0\\\\\implies x = -\dfrac{4}5, ~~~x=\dfrac 45[/tex]

0.4

the reciprocal of 0.4.

it'll be easier if you convert to fraction first, which gives you:

=2/5

then reciprocal:

=5/2

in decimal form= 2.5

So the equation given is: [tex]3x^2+x[/tex]

What do we find: f(-5)

To find f(-5), we must plug '-5' into the equation in place of the 'x'

   [tex]f(-5) = 3(-5)^2+(-5) = 3 * 25 -5=75-5=70[/tex]

Answer: f(-5) = 70

Hope that helps!

Answer:

the #1 one is about 307.88 & the #2 on is 100.53

Step-by-step explanation:

Answer:

308 in³, 101 in³ (from left to right)

Step-by-step explanation:

Volume of cylinder= πr²h, where r is the radius and h is the height.

Cylinder on left

radius= 7 in

height= 2 in

Volume

= π(7²)(2)

= 98π

= 308 in³ (3 s.f.)

Cylinder of right

radius= 4 in

height= 2 in

Volume

= π(4²)(2)

= 32π

= 101 in³ (3 s.f.)

Answer:

see image

Step-by-step explanation:

See image. It all on the paper in the picture. Hope this helps! Please mark Brainliest if possible! tysm!

Answer:

[tex]\huge\boxed{\sf b = 8.7 \ cm}[/tex]

Step-by-step explanation:

Given equation:

[tex]\displaystyle tan (30 \textdegree) = \frac{5}{b}[/tex]

We have to find b.

tan 30° = 0.6

[tex]\displaystyle 0.6 = \frac{5}{b} \\\\Multiply \ b \ to \ both \ sides \\\\0.6 \times b = 5 \\\\Divide \ 0.6 \ to \ both \ sides\\\\b = \frac{5}{0.6} \\\\b = 8.7 \ cm \\\\\rule[225]{225}{2}[/tex]

The equation is an illustration of trigonometry ratios, and the non-negative values of x are 30 and 270 degrees

The equation is given as:

2sin²(x) + sin(x) = 1

Let y = sin(x)

So, the equation becomes

2y² + y = 1

Rewrite as:

2y² + y - 1 = 0

Expand

2y² + 2y - y - 1 = 0

Factorize

2y(y + 1) - 1(y + 1) = 0

Expand

(2y - 1)(y + 1) = 0

Split

2y - 1 = 0 or y + 1 = 0

Solve for y

y = 0.5 or y = -1

Recall that: y = sin(x)

So, we have:

sin(x) = 0.5 and sin(x) = -1

Take the arcsin of both sides

x = sin⁻¹(0.5) and x = sin⁻¹(-1)

x = 30 degrees and x = 270

Hence, the non-negative values of x are 30 and 270 degrees

#SPJ1

Read more about sine ratios at:

https://brainly.com/question/11967894

Answer:

I disagree a basketball player is not dependent on the on one event that Is an event does not affect another

(-2)-(-5)=0

bit 2 minuses= + so:

-2+5=0

3=0

Answer:

its 10.5

Step-by-step explanation:

If you divide what alex earned by his total sales, you get 10.5%.

Answer:

Yes

Step-by-step explanation:

2 7/8x8=23

So you would have enough and one oz left over.

The first step when rewriting y = 6x2 + 18x + 14 in the form y = a(x – h)2 + k is to factor out 6 from the first two terms

The standard vertx form of an expression is given as  y = a(x – h)^2 + k

Given the quadratic expression given as:

y = 6x^2  + 18x+ 14

Before a quadratic equation can be transformed to its vertex form, the coefiicient of x^2 must be 1.

To do that, you will factor out 6 from the first two terms to have:

6(x^2 + 3x) + 14

Hence the first step when rewriting y = 6x2 + 18x + 14 in the form y = a(x – h)2 + k is to factor out 6 from the first two terms

Learn more on vertex form here: https://brainly.com/question/525947

The first step is factoring out the 6 from the 6x2 + 18x. 

Answer:

183.6 [tex]cm^{2}[/tex]

Step-by-step explanation:

Area = Area of trapezium - area of parallelogram-area of semicircle

= [tex]\frac{1}{2}(a+b)h-b*h-\frac{\pi r^{2} }{2\\}[/tex]

=[tex]\frac{1}{2}(25+15)24-13*16-\frac{\pi (15/2)^{2} }{2\\}[/tex]

= 183.6 [tex]cm^{2}[/tex]

Answer:

3 hrs. 30 mins.

Step-by-step explanation:

7:00 - 3:30

I love it too man or girl (・∀・)

Answer:

ur mom

Step-by-step explanation:

Answer:

The Answer Is 240in^3

Step-by-step explanation:

I Took The Test And Got It Right.

The Volume of the fish tank is 240 in³.

The correct option is (D).

The volume of a flat shape resembles a three-dimensional representation of the shape's boundary.

Given:

The figure can be differentiated into two shapes;

The volume of the rectangle is known as:

= Length × Breadth

= 7 inches × 5 inches

= 35 inches²

The volume of the triangle is:

= 1/2 × base × height

= 1/2 × 2 × 5

= 5 inches²

The total volume of the base of the fish tank now is:

= 35 inches² + 5 inches²

= 40 inches²

Now, the volume of the fish tank is:

= Height × base of the fish tank

= 6 inches × 40 inches²

= 240 in³

Learn more about the volume of plane shapes here:

brainly.com/question/20475473

#SPJ2

The mean of the data set can be used because it is not easily affected by extreme values.

A measure of central tendency is a measure that tries to describe an entire data set by using the central value of the data.

Mean is often used as a measure of central tendency when dealing with a large data such as tourism in the city because it is not easily affected by extreme values.

Learn more about mean: https://brainly.com/question/14882017

Answer:

  f(-1) = 3

  f(5) = 20

Step-by-step explanation:

When evaluating a piecewise-defined function, the first step is to locate the argument value in the correct domain. Then the corresponding function is evaluated in the usual way.

__

For x=-1, the relevant piece is the one defined for x < 4:

  f(x) = x² +2

  f(-1) = (-1)² +2 = 3

__

For x=5, the relevant piece is the one defined for x > 4:

  f(x) = 2x +10

  f(5) = 2(5) +10 = 20

_____

Additional comment

The function written in this problem statement is "undefined" at x=4, so the graph would ordinarily show a "hole" there. We're not sure whether that is intentional.

Answer:

It is a negative rational number. This is because it is an improper fraction that is equivalent to -2.

Step-by-step explanation:

Answer:

a quantity representing the power to which a fixed number (the base) must be raised to produce a given number.

Step-by-step explanation:

Hey ojaswii!

Answer:

Logarithm is an exponent or index.

Step-by-step explanation:

[tex] \boxed{\rm \: log_{l}(l {}^{a} ) = a}[/tex]

Note: This is just a random formula

I expect this helps :)

[tex]\quad{\qquad\qquad\qquad\qquad{\bf ...}}[/tex]

Answer:

96 people are expected

Step-by-step explanation:

Hello!

We can first convert the surveyed group results into a percentage.

So 3% of the sampled survey were interesetd. To find the actual expected number of patrons, we find 3% of 3200.

96 people are expected.

Topics:

Percentage => Fraction => Decimal Key is attached

Answer:

2.75 feet

Step-by-step explanation:

I did the problem with the given instructions, but it really should be 2.74 feet. Instead of dividing the circumference by 6.28, you should divide the circumference by pi, then by two.

Hope this helps! :)

Answer:

Step-by-step explanation:

Answer:

8.324

Step-by-step explanation:

The 8 serves as the first digit and the "and " represents a decimal point  the remaining numbers go behind that decimal point therefore 8.324.