When factoring 16x2 -
36, what is the first step?
A. It is a perfect square trinomial, so find the square root of the first and
last term.
B. It is a difference of squares so find the square roots for the first and last
term.
C. Find the greatest common factor (GCF).
D. The expression is prime it cannot be factored.

Answer:

Polygon Exterior Angle Sum Theorem. If a polygon is convex, then the sum of the measures of the exterior angles, one at each vertex, is 360° .

Answer:

a.

65,000

Step-by-step explanation:

There are 65000 possibilities of 4 character-password

A password is a security code that is used for verifying identities

The password has 4 characters.

The password must begin and end with a letter.

So the selections are:

First = 26

Last = 25

The other selections are:

Second = 10 digits

Third = 10 digits

So, the number of password is:

Password = 26 * 10 * 10 * 25

Evaluate

Password = 65000

Hence, there are 65000 possibilities of 4 character-password

Read more about arrangements at:

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Answer:

y= 30 + 3.50

Step-by-step explanation:

lol I think you're Giselle for my school but that's what the answer it im pretty sure.

Answer:

x=0 x=y=z. with these presumed variable amounts, one can conclude that the equation you asked is equivalent to 0

Answer:

Step-by-step explanation:

(x+y)(x-y)+(y+z)(y-z)+(z+x)(z-x)

=x²-y²+y²-z²+z²-x²

=0

Answer:

Step-by-step ex

its 0.2

Answer:

5.5

Step-by-step explanation:

Answer:e

B

Step-by-step explanation:

Eb

Answer:

0.375 seconds

Step-by-step explanation:

In simple terms, to find the time it took to reach the ground, we need to find t from the equation.

If we differentiate h with respect to t we will get the velocity with which the fireworks is moving at.

[tex]h(t) = - 16t^2 + 4t.\\dh/dt =-32t +4[/tex]

We can now equate this to its velocity and solve for t

10 = -32t +4

t = 0.1875 ( time cannot be negative in value, so we ignore the negative sign)

Therefore, the time it took the fireworks to reach the ground is = 2 x 0.1875= 0.375 seconds.

(We need to account for the fact that the fireworks went up and came down)

Answer:

30 cents of a dollar is 30% tax paid and 70% not paid.

A dollar is 100 cents.

Step-by-step explanation:

Answer:

A. Solid

B. Pyramid

c. Prism

Step-by-step explanation:

Hope it helps you in your learning process.

The terms that correctly describe the object are prism, pyramid, and solid.

Options A, B, and C are the correct answer.

A prism is a three-dimensional object.

There are triangular prism and rectangular prism.

We have,

A prism is a solid geometric shape that has two identical parallel bases, which are typically polygons, and the sides of the shape are parallelograms.

A pyramid is a solid geometric shape that has a polygonal base and triangular faces that meet at a common point called the apex.

A solid is a three-dimensional object that occupies space and has a definite shape and volume.

A polyhedron is a three-dimensional solid that has flat faces, straight edges, and vertices (corners) where the edges meet.

A polygon is a two-dimensional shape that has straight sides and angles and is typically closed (meaning that its sides connect to form a closed shape).

A triangle is a three-sided polygon, meaning it has three straight sides and three angles.

Thus,

The terms that correctly describe the object are prism, pyramid, and solid.

Learn more about prism here:

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Answer:

20.62 feet

Step-by-step explanation:

The ladder propped against a building forms a right angle triangle

Height of the ladder (hypotenuse) = 21 feet

Base of the ladder from the building (adjacent) = 4 feet

Height of the building (opposite) = x feet

Hypotenuse ² = opposite ² + adjacent ²

21² = x² + 4²

21² - 4² = x²

441 - 16 = x²

425 = x²

x = √425

= 20.62 feet

Answer: 20.62 ft or rounding it to 20.6 ft

Step-by-step explanation:

Answer:

y = -0.6x + 24.6

Step-by-step explanation:

Answer:

Answers are in bold

Step-by-step explanation:

Part 1A

Use the Zero Product Property to find the x-intercepts:

0=-(x+4)(x-1)

0=(x+4)(x-1)

0=(x+4)

-4=x

x=-4

0=(x-1)

1=x

x=1

So the x-intercepts are x=-4 and x=1 which is also (-4,0) and (1,0)

For the y-intercepts, plug in x=0:

f(x)=-(0+4)(0-1)

f(x)=(-4)(-1)

f(x)=4

So the y-intercept is y=4 which is also (0,4)

Part 1B

In general, the axis of symmetry is equal to x=h in the equation y=(x-h)^2+k

For a parabola, the axis of symmetry is equal to x=-b/2a, so we expand the given equation and then plug in the values of "a" and "b" to get the axis of symmetry:

f(x)=-(x+4)(x-1)

f(x)=-(x^2+3x-4)

f(x)=-x^2-3x+4

So now we know a=-1 and b=-3, therefore we can plug them in:

x=-b/2a

x=-(-3)/2(-1)

x=3/-2

x=-3/2

x=-1.5

So the equation of the axis of symmetry is x=-1.5

Part 1C

We'll use the equation x=-b/2a to get the x-coordinate for the vertex (which we already know is x=-1.5), then plug in that value of x in the original equation to get the y-coordinate for the vertex:

f(x)=-(-1.5+4)(-1.5+1)

f(x)=-(2.5)(-0.5)

f(x)=-(-1.25)

f(x)=1.25 <-- y-coordinate

So the coordinates of the vertex are (-1.5,1.25)

Part 1D

See the image below

I'll let someone else do the last 4 questions as I am unable to answer them.

Answer: 11/21

Step-by-step explanation:

Answer:

11/24 or 0.453

Step-by-step explanation:

1/3 + 1/8

1/3 × 8/8 = 8/24

1/8 × 3/3 = 3/24

8/24 + 3/24 = 11/24

Answer:

it can and cant at the same time.

Answer:

[tex]\displaystyle \frac{100}{81}m^8p^{12}q^{16}z^2-\frac{20}{63}m^5p^7q^8z^5+ \frac{1}{49}m^2p^2z^8=\left(\frac{10}{9}m^4p^{6}q^{8}z-\frac{1}{7}mpz^4\right)^2[/tex]

Step-by-step explanation:

Trinomio Cuadrado Perfecto

El producto notable llamado cuadrado de un binomio se expresa como:

[tex](a-b)^2=a^2-2ab+b^2[/tex]

Si se tiene un trinomio, es posible convertirlo en un cuadrado perfecto si cumple con las condiciones impuestas en la fórmula:

* El primer término es un cuadrado perfecto

* El último término es un cuadrado perfecto

* El segundo término es el doble del proudcto de los dos términos del binomio.

Tenemos la expresión:

[tex]\displaystyle \frac{100}{81}m^8p^{12}q^{16}z^2-\frac{20}{63}m^5p^7q^8z^5+ \frac{1}{49}m^2p^2z^8[/tex]

Calculamos el valor de a como la raiz cuadrada del primer término del trinomio:

[tex]\displaystyle a=\sqrt{\frac{100}{81}m^8p^{12}q^{16}z^2}[/tex]

[tex]\displaystyle a=\frac{10}{9}m^4p^{6}q^{8}z[/tex]

Calculamos el valor de a como la raiz cuadrada del primer término del trinomio:

[tex]\displaystyle b=\sqrt{\frac{1}{49}m^2p^2z^8[/tex]

[tex]\displaystyle b=\frac{1}{7}mpz^4[/tex]

Nos cercioramos de que el término central es 2ab:

[tex]\displaystyle 2ab=2\frac{10}{9}m^4p^{6}q^{8}z\frac{1}{7}mpz^4[/tex]

Operando:

[tex]\displaystyle 2ab=\frac{20}{63}m^5p^7q^8z^5[/tex]

Una vez verificado, ahora podemos decir que:

[tex]\displaystyle \frac{100}{81}m^8p^{12}q^{16}z^2-\frac{20}{63}m^5p^7q^8z^5+ \frac{1}{49}m^2p^2z^8=\left(\frac{10}{9}m^4p^{6}q^{8}z-\frac{1}{7}mpz^4\right)^2[/tex]

Answer:

I would say A

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

This is a function because each x value is given one y value. More simply, no x value was repeated.

Answer:

23

Step-by-step explanation:

What diagram?? I dont see any

Answer:

The answer is 10 or 10/1

Answer:

If the sum of the digits is divisible 3 and 9

Step-by-step explanation:

Answer:

14.5 ft

Step-by-step explanation:

We are told that the model car is built to a scale of 1 in. : 2.5 ft.

That means 1 inches represents 2.5 ft in actual measurement.

Thus, for a 5.8 inch long model, the real life measurement is;

(5.8 inch × 2.5 ft)/1 inch = 14.5 ft

Answer:

i am not sure try 56

Step-by-step explanation:

Hope this helps!:)

Answer:

In analytic geometry, using the common convention that the horizontal axis represents a variable x and the vertical axis represents a variable y, a y-intercept or vertical intercept is a point where the graph of a function or relation intersects the y-axis of the coordinate system. As such, these points satisfy x = 0.

Step-by-step explanation:

Answer:

Let y=34 and x=3

Step-by-step explanation:

y = 8x + 10

34 = 8 (3) + 10

34 = 24 + 10

34 = 34

Hence,3 and 34 satisfies this equation.

Answer:

40

Step-by-step explanation:

The initial value of the function is 40, which represents the amount of money she deposits each week