1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
gizmo_the_mogwai [7]
3 years ago
10

How do you factor an expression? For example,

" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
Inga [223]3 years ago
8 0

Answer:


Step-by-step explanation:

The greatest common factor is the greatest factor common to all terms. An expression is completely factored when no further factoring is possible. The possibility of factoring by grouping exists when an expression contains four or more terms. The FOIL method can be used to multiply two binomials

You might be interested in
What is the equation? Pls show your work.
Semmy [17]

Answer:

y=2x-2

Step-by-step explanation:

y=mx+b is point slope form.

let m= the slope

b=y intercept

the y intercept is -2

y=mx-2

then after finding the slope (2) put that in

y=2x-2

4 0
3 years ago
hat are the solutions to the equation |x| = 2? Choose all answers that are correct. A. B. C. D.
zalisa [80]
Easy, so absolute value makes anything inside into positive
|x|=2
therefor x=-2 or x=2 since  it would be made posotive

answer is -2 and 2

6 0
3 years ago
Read 2 more answers
Convert 312 quarts to gallons.
dimaraw [331]
78 gallons is the same as 312 quarts
8 0
3 years ago
Find the point (,) on the curve =8 that is closest to the point (3,0). [To do this, first find the distance function between (,)
ELEN [110]

Question:

Find the point (,) on the curve y = \sqrt x that is closest to the point (3,0).

[To do this, first find the distance function between (,) and (3,0) and minimize it.]

Answer:

(x,y) = (\frac{5}{2},\frac{\sqrt{10}}{2}})

Step-by-step explanation:

y = \sqrt x can be represented as: (x,y)

Substitute \sqrt x for y

(x,y) = (x,\sqrt x)

So, next:

Calculate the distance between (x,\sqrt x) and (3,0)

Distance is calculated as:

d = \sqrt{(x_1-x_2)^2 + (y_1 - y_2)^2}

So:

d = \sqrt{(x-3)^2 + (\sqrt x - 0)^2}

d = \sqrt{(x-3)^2 + (\sqrt x)^2}

Evaluate all exponents

d = \sqrt{x^2 - 6x +9 + x}

Rewrite as:

d = \sqrt{x^2 + x- 6x +9 }

d = \sqrt{x^2 - 5x +9 }

Differentiate using chain rule:

Let

u = x^2 - 5x +9

\frac{du}{dx} = 2x - 5

So:

d = \sqrt u

d = u^\frac{1}{2}

\frac{dd}{du} = \frac{1}{2}u^{-\frac{1}{2}}

Chain Rule:

d' = \frac{du}{dx} * \frac{dd}{du}

d' = (2x-5) * \frac{1}{2}u^{-\frac{1}{2}}

d' = (2x - 5) * \frac{1}{2u^{\frac{1}{2}}}

d' = \frac{2x - 5}{2\sqrt u}

Substitute: u = x^2 - 5x +9

d' = \frac{2x - 5}{2\sqrt{x^2 - 5x + 9}}

Next, is to minimize (by equating d' to 0)

\frac{2x - 5}{2\sqrt{x^2 - 5x + 9}} = 0

Cross Multiply

2x - 5 = 0

Solve for x

2x  =5

x = \frac{5}{2}

Substitute x = \frac{5}{2} in y = \sqrt x

y = \sqrt{\frac{5}{2}}

Split

y = \frac{\sqrt 5}{\sqrt 2}

Rationalize

y = \frac{\sqrt 5}{\sqrt 2} *  \frac{\sqrt 2}{\sqrt 2}

y = \frac{\sqrt {10}}{\sqrt 4}

y = \frac{\sqrt {10}}{2}

Hence:

(x,y) = (\frac{5}{2},\frac{\sqrt{10}}{2}})

3 0
3 years ago
Item 16 A sphere has a radius of 8 centimeters. A second sphere has a radius of 2 centimeters. What is the difference of the vol
Zigmanuir [339]

Answer:

672\pi \text{ cm}^3.

Step-by-step explanation:

We have been given that a sphere has a radius of 8 centimeters. A second sphere has a radius of 2 centimeters. We are asked to find the difference of the volumes of the spheres.      

We will use volume formula of sphere to solve our given problem.

\text{Volume of sphere}=\frac{4}{3}\pi r^3, where r is radius of sphere.

The difference of volumes would be volume of larger sphere minus volume of smaller sphere.

\text{Difference of volumes}=\frac{4}{3}\pi(\text{8 cm})^3-\frac{4}{3}\pi(\text{2 cm})^3

\text{Difference of volumes}=\frac{4}{3}\pi(512)\text{ cm}^3-\frac{4}{3}\pi(8)\text{ cm}^3

\text{Difference of volumes}=\frac{4}{3}\pi(512-8)\text{ cm}^3

\text{Difference of volumes}=4\pi(168)\text{ cm}^3

\text{Difference of volumes}=672\pi\text{ cm}^3

Therefore, the difference between volumes of the spheres is 672\pi \text{ cm}^3.

3 0
3 years ago
Other questions:
  • a triangles height is 4dm less than the length of its base. the area is 6dm^2. find the length of the base and the height
    13·1 answer
  • the floors of houses in japan are traditionally covered by tatami. tatami are rectangle shaped straw mats that measure about 6 f
    10·1 answer
  • kai calculates that he spends 15% of a school day in science class. If he spends 75 minutes in science class, how many minutes d
    8·1 answer
  • The points P(−3, 6) and Q(1, 4) are two vertices of right triangle PQR . The hypotenuse of the triangle is PQ⎯⎯⎯⎯⎯ .
    13·2 answers
  • The sides of a parallelogram are 24cm and 16cm. The distance between the 24cm sides is 8 cm. Find the distance between the 16cm
    5·1 answer
  • Write and solve an equation.Tommy has 5 more toy cars than Billy does.If Tommy has 12 toy cars, how many cars, c, does Billy hav
    15·2 answers
  • Please tell ans of attached photo
    5·1 answer
  • Given: A(0,0) B(0,3) C(4,0) D(0,6) and E(8,0)<br> Prove:ABC~ADE
    9·1 answer
  • 6. A cone is 10 inches tall and ha s a radius of 3 inches. What is the cone’s volume? A. 31.4 cubic inches B. 94.2 cubic inches
    12·1 answer
  • If this trapezoid is moved through the
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!