Factor 2x2c2 + 3xc2 − 35c2. Show your work.

Answers

Answer 1

Answer:

c²(x + 5)(2x - 7)

Step-by-step explanation:

2x²c² + 3xc² - 35c² =c²(2x² + 3x - 35) =c²(2x² + 10x - 7x - 35) =c²(2x(x + 5) - 7(x + 5)) =c²(x + 5)(2x - 7)
Answer 2

[tex]\\ \sf\longmapsto 2x^2c^2+3xc^2-35c^2[/tex]

Take c^2 common

[tex]\\ \sf\longmapsto c^2(2x^2+3x-35)[/tex]

Factor the brackets

[tex]\\ \sf\longmapsto c^2(2x^2+10x-7x-35)[/tex]

[tex]\\ \sf\longmapsto c^2(2x(x+5)-7(x+5))[/tex]

[tex]\\ \sf\longmapsto c^2(2x-7)(x+5)[/tex]


Related Questions

Two-Step Column Proofs.

Answers

Answer:

See below.

Step-by-step explanation:

1. m∠4 + m∠6 = 180

Reason: m∠4 = 120 & m∠6 = 60. 120 + 60 = 180

2. m∠4 + m∠5 = 180

Reason: m∠4 = 120 & m∠5 = 60. 120 + 60 = 180

3. m∠4 + m∠5 = 180 = m∠4 + m∠6

Reason: m∠4 = 120. m∠5 & m∠6 = 60. 120 + 60 = 180

4. m∠4 = m∠4

Reason: 120 = 120. No difference between
•••••••••••••••••••••••••••••••••••••••••••••••••••
m∠5 = m∠6

Reason: the type of triangle that we’re looking at is a equilateral triangle meaning all angle measures measure the exact same thing. If one measure measures 60, the other measure measures 60.

m∠4 + m∠6 = 180

Reason: m∠4 = 120 & m∠6 = 60. 120 + 60 = 180

Lines s and t are parallel and r is a transversal.

Which angles are congruent to 4?
a) 2, 5, 8
b) 3, 5, 7
c) 2, 6, 8
d) 3, 7, 2

Answers

Answer:

The angles that are congruent to 4 are: 3, 8, and 7.

3 and 4 are vertical angles, 8 and 3 are opposite interior angles, 8 and 7 are vertical angles.

Hope this helps!

Identify a transformation of the function f(x) = (x by observing the equation
of the function g(x) = VX- 19.

Answers

Answer:

1st option

Step-by-step explanation:

Given f(x) then f(x) + c is a vertical translation of f(x)

• If c > 0 then a shift up of c units

• If c < 0 then a shift down of c units

Here g(x) = [tex]\sqrt{x}[/tex] - 19

The base graph f(x) has been shifted down 19 units

plz help im dying to know the answer please hurry asap please

Answers

The first Picture is 10 degrees
number 1 is 10 degrees

Which of the following characteristics best describes the given function of f(x) = 3x - 6?

A) exponential function, always increasing, linear
B) linear absolute value function, always increasing, linear, maximum
C) linear function, always increasing, straight lines, no maximum or minimum
D) exponential function, always decreasing, linear

Answers

Answer:

C

Step-by-step explanation:

degree 1 ( linear function

A certain box has a width that is 2 inches more than its length and a height that is 5 inches less than its length. If each of the two smallest faces of the box has an area of 36 square inches, what is the volume if the box?

Answers

Answer:

V = 396 cubic inches

Step-by-step explanation:

width = w; length = l; height = h; volume = V; area of smallest face = a

base units are inches

w = 2 + l

h = l - 5

Height is smallest and length is second smallest (h = l -, l = l, w = l +), so a is for h and l.

a = h × l = (l - 5) × l

36 = l^2 - 5l ==> l^2 - 5l - 36 = 0

Factor ==> (l - 9) × (l + 4) = 0

l = 9 and l = -4

Since length cannot be negative, 9 is the only Real answer.

l = 9

h = l - 5 = 9 - 5 = 4

w = 2 + l = 2 + 9 = 11

Volume of rectangular prism/box is length times width times height.

V = l × w × h = 9 × 11 × 4 = 396

The volume of the box with the given dimensions is;

Volume = 396 in³

Let us denote the properties of the box as follows;

Length of box = l

Width of box = w

Height of box = h

Area of the smallest face of box = a  

We are told that the width is 2 inches more than the length. Thus;

w = 2 + l

We are told that the height is 5 inches less than its length. Thus;

h = l - 5

Since length is smaller than width but bigger than height, the height and length are the 2 smallest faces

Thus,

a = h × l

plugging in the relevant values gives;

a = (l - 5) × l

a = l² - 5l

We are told that the area of the two smallest faces is 36 in². Thus;

l² - 5l = 36

l² - 5l - 36 = 0

Using online quadratic equation solver, we have; l = 9 inches

Plugging in 9 for h in; h = l - 5  

h = 9 - 5

h = 4

Also, plugging in 9 for l into; w = 2 + l, we have;

w = 2 + 9

w = 11

Volume of box is given by;

Volume = length × width × height

Volume = 9 × 11 × 4

Volume = 396 in³

Read more at;https://brainly.com/question/13973603

find the length of BC

Answers

Answer:

13.3650978628

Step-by-step explanation:

Angle A=180-(Angle B+C)=180-117=63

Here,

b=BC, p=AC & AB=12

Using the relation of cos,

cosx=b/h

cos27=BC/15

15cos27=BC

Using a calculator,

BC=13.3650978628

Math nation section 2

Answers

Send the question?

Must click thanks and mark brainliest

A rectangle has an area of 104 cm2 and a width
that measures 8 cm. Find the perimeter of the
rectangle.

Answers

Answer:

42 cm

Step-by-step explanation:

104/8 = 13

13 + 13 + 8 + 8 = 42 cm

three decreased by the product of a number and two

Answers

3-2x should be the right answer

PLEASE HELP ME! BRAINLEST IF CORRECT

Answers

Answer:

x = 147

Step-by-step explanation:

33 and x form a straight line which means they add to 180

x+33 =180

x = 180-33

x = 147

Answer:

[tex]x=147[/tex]

Step-by-step explanation:

we see that x and 33 are linear pairs so their sum is 180 degrees.

[tex]x+33=180[/tex]

Subtract :-

[tex]x=180-33[/tex]

[tex]x=147[/tex]

OAmalOHopeO

Are the lines 3x+4y=-12 and 6x+2y=6 parallel?

Answers

Hi

two lines are parallel only if they have the same slope.

So :  3x+4y = 12

         4y = 12 -3x

           y =  12/4 - 3x/4

           y =   3 - 3/4 X

          y =   -3/4 X +3

Slope is   -3/4

and   6x+2y = 6

               2y = 6 -6x

                  y =  6/2 - 6x/2

                 y =   3 - 3X

                 y =  -3X +3

Slope is = -3

As  -3/4 ≠ -3  then   the two lines are not parallel.

no, the two lines have different slopes

how can i round 162 to the nearest hundred in a easier way with multiplying

Answers

Answer:

it's 200

Step-by-step explanation:

it is rounded to 200 because the last two digit which are 62 should be 50 or above.

You are taking a survey on the heights of all your classmates. This is an example of categorical data.
True or false?

Answers

Answer:

trueeeeeeeeeeeeeeeeeee

PLEASE HELP!!! will give brainliest!!!

Answers

Answer:

0.19

Step-by-step explanation:

Total marbles=22

P(2 yellow marbles) = (10/22)(9/21)=0.19

hello could you please help me with this math problem with full explanation which I am unable to solve?

Answers

Answer:

b) 27

Step-by-step explanation:

sum of angles in triangle = 180

a + 63 + 90 = 180

a = 27

Answer:

27 degrees

Step-by-step explanation:

since angle B is 68 and you know that angle c is a right angle it is 90. so yhu take 90 and 63 and add them together and subtract that number from 180 and you find angle A

will mark brainliest help!

In parallelogram ABCD, m∠B = 105°.

What is the value of x. (Round your answer to the nearest tenth, if necessary.)

Answers

Answer:

52.5

Step-by-step explanation:

Since ED ≈ AD, ∆AED is a isosceles triangle where <EAD and <AED has same angle measurement

Now, m<B = 105°, since ABCD is a parallelogram, <B = <D

so, m<ADC = 105° so, m<ADE = 180°-105° = 75°

Now, m<EAD+m<AED+m<ADE = 180°

or, m<AED+m<AED+m<ADE = 180°

or, x+x+75°=180°

or, 2x=180+75°

or, 2x=105°

or, x=52.5°

6
с
2
3.
43
In the figure, which angle has the same measure as 22?
A. 21
B. 23
C. 24
D. 25

Answers

I think the answer is 5 not sure tho

The sum of a rational number and an irrational number is irrational.

Always true,sometimes true, never true

Answers

Answer:   Always true

=========================================================

Explanation:

We can prove this by contradiction.

Let's say

A = some rational numberB = some irrational numberC = some other rational number

and

A+B = C

We'll show that a contradiction happens based on this.

If A is rational, then A = p/q where p,q are two integers. The q cannot be zero.

If C is rational, then C = r/s for some other integers. We can't have s be zero.

Note the following

A+B = C

B = C - A

B = r/s - p/q

B = qr/qs - ps/qs

B = (qr - ps)/qs

B = (some integer)/(some other integer)

This shows B is rational. But this is where the contradiction happens: We stated earlier that B was irrational. A number cannot be both rational and irrational at the same time. The very definition "irrational" literally means "not rational".

In short, I've shown that if A+B = C such that A,C are rational, then B must be rational as well.

The template is

rational + rational = rational

Therefore, we've shown that if A is rational and B is irrational, then C cannot possibly be rational. C is irrational.

Another template is

rational + irrational = irrational

l= 6 ft, w = 2 ft, h= 5 ft what is the surface area of the rectangular prism​

Answers

it’s literally 6x2x5 (60 sq ft)

104 ft^2

Explanation:

The surface areaa of a rectangular prism is given by the formula:

2 (lw + hl + hw)

l = length

w = width

h = height

Substitute the formula with the givsn dimensions:

2 ([6 x 2] + [5 x 6] + [5 x 2])

= 2 (12 + 30 + 10)

2 (52)

= 104

So the SA is 104 square feet or ft^2

Hope this helps!

please help me with these equations and please show the steps​

Answers

Answer:

I have explained the answer in detailed steps for you. If you do not understand any steps, please comment below, and I will help you out.

3(2 - 5) + 4(6 - 2)
Simplify using the order of operation

Answers

Answer: 7

Concept:

When encountering questions that ask for simplifying operation expressions, the order of operation would be following the PEMDAS method:

ParenthesesExponentsMultiplicationDivisionAdditionSubtraction

Solve:

Given expression

3 (2 - 5) + 4 (6 - 2)

Simplify values in the parentheses

=3 (-3) + 4 (4)

Simplify by multiplication

=-9 + 16

Simplify by addition

=[tex]\boxed{7}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Step-by-step explanation:

3(2 - 5) + 4(6 - 2)

By using the order of operations,

3(2 - 5) + 4(6 - 2)

3(-3)+4(4)

-9+16

7

I hope it helped U

stay safe stay happy

does anyone understand this?

Answers

Answer:

Answer is 3

Step-by-step explanation:

[tex] \frac{ \sqrt{144} }{ \sqrt[5]{243} } - 5 + 16 \div \sqrt[3]{64} \\ = \frac{12}{3} - 5 + (16 \div 4) \\ \\ = 4 - 5 + 4 \\ = 3[/tex]

Answer:

3

Step-by-step explanation:

step by step explaination is in picture

Under what condition the composite function of any two function is an identity function?

Answers

Answer:

under the condition of f(x)=x composite function is an identity one

How do I solve part 1

Answers

1. Open the GeoGebra link.

2. Select the triangle shape, or draw a triangle by combining line segments.

3. The application will also have a tool to measure the angles.

4. Measure all 3 angles.

5. Note them down in the assignment.

Click on the instructions hyperlink for detailed information.

Find the HCF of: 5a²b² and 9x³y³​

Answers

Answer:

1

Step-by-step explanation:

To do this, we can first look at each factor of each number.

For 5a²b², we can split this up into three parts: 5, a², and b². The factors of 5 are 1 and 5, the factors of a² are 1, a, and a² (because a*a = a² and a²*1 = a²), and the factors of b² are 1, b, and b²

For 9x³y³, the factors for 9 are 1, 3, and 9, the factors of x³ are 1, x, x², and x³ (because x * x² = x³ and x³ * 1 = x³), and the factors of y³ are 1, y, y², and y³.

The only number that is a factor of at least 1 item in each number is 1. Therefore, 1 is the HCF

Another way of looking at this is seeing that a, b, x, and y are all different variables with nothing to connect them, so as a result, they will have no common factors except for 1

On the first two downs, a football team lost a yard and then lost 2 yards.

Write an expression with addition that shows the changes in yards on

the first two downs.

Answers

First they lost 1 yard which would be written as -1

Next they let 2 yards which is written as -2

Now add them together: -1 + -2 = -3

If the distance between the points (2, -2) and (-1, x) is 5, one of the values of x is

Answers

We know

[tex]\boxed{\sf Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}}[/tex]

ATQ

[tex]\\ \sf\longmapsto \sqrt{(-1-2)^2+(x+2)^2}=5[/tex]

[tex]\\ \sf\longmapsto \sqrt{(-3)^2+x^2+4x+4}=5[/tex]

[tex]\\ \sf\longmapsto \sqrt{9+x^2+4x+4}=5[/tex]

[tex]\\ \sf\longmapsto \sqrt{x^2+4x+13}=5[/tex]

[tex]\\ \sf\longmapsto x^2+4x+13=5^2=25[/tex]

[tex]\\ \sf\longmapsto x^2+4x+13-25=0[/tex]

[tex]\\ \sf\longmapsto x^2+4x-12=0[/tex]

[tex]\\ \sf\longmapsto x^2+6x-2x-12=0[/tex]

[tex]\\ \sf\longmapsto x(x+6)-2(x+6)=0[/tex]

[tex]\\ \sf\longmapsto (x-2)(x+6)=0[/tex]

[tex]\\ \sf\longmapsto x=2\:or\:x=-6[/tex]

(09.05)
Compare the functions shown below.

Which function has the greatest maximum y-value?

a. f(x)
b.g(x)
c.g(x) and h(x)
d.f(x) and h(x)

Answers

Answer:

a.

Step-by-step explanation:

f(x) has the highest or greatest maximum y value of 3

Part 1. Pick a two-digit number greater than 25. Rewrite your two-digit number as a difference of two numbers. Show how to use the identity (x − y)2 = x2 − 2xy + y2 to square your number without using a calculator.Part 2. Choose two values, a and b, each between 8 and 15. Show how to use the identity a3 + b3 = (a + b)(a2 − ab + b2) to calculate the sum of the cubes of your numbers without using a calculator.

Answers

Solution:-1

Number be 27

[tex]\\ \sf\longmapsto 27^2[/tex]

[tex]\\ \sf\longmapsto (30-3)^2[/tex]

[tex]\\ \sf\longmapsto 30^2-2(30)(3)+3^2[/tex]

[tex]\\ \sf\longmapsto 900-180+9[/tex]

[tex]\\ \sf\longmapsto 909-180[/tex]

[tex]\\ \sf\longmapsto 729[/tex]

[tex]\\ \sf\longmapsto 27^2[/tex]

Hence verified

Solution:-2

a be 10 b be 9

[tex]\\ \sf\longmapsto 10^3+9^3[/tex]

[tex]\\ \sf\longmapsto (10+9)(10^2-10\times 9+9^2)[/tex]

[tex]\\ \sf\longmapsto 19(100-90+81)[/tex]

[tex]\\ \sf\longmapsto 19\times 91[/tex]

[tex]\\ \sf\longmapsto 1729[/tex]

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