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Answers

Answer 1

Answer:

1.  -10x+36

2.  24x+121

3.  2x-8xy+32y

4.  50x-10xy+y^2

Step-by-step explanation:

i think dis right

Answer 2

Answer:

see explanation

Step-by-step explanation:

using the following expansions

a² + 2ab + b² = (a + b)²

a² - 2ab + b² = (a - b)²

1

x² - 12x + 36

with a = x and b = 6 , then

x² - 12x + 36 = x² - 2(x)(6) + 6² = (x - 6)²

2

x² + 22x + 121

with a = x and b = 11 , then

x² + 22x + 121 = x² + 2(x)(11) + 11² = (x + 11)²

3

x² - 8xy + 16y²

with a = x and b = 4y , then

x² - 8xy + 16y² = x² - 2(x)(4y) + 16y² = (x - 4y)²

4

25x² - 10xy + y²

with a = 5x and b = y , then

25x² - 10xy + y² = 25x² - 2(5x)(y) + y² = (5x - y)²


Related Questions

If I spend 35 every week for a year how much do I spend?

Answers

Answer:

$1,820

Step-by-step explanation:

The math problem is $35 times 52 weeks

If point A is located at (5, –3) and point B is located at (–4, –6). Find AB A B rounded to the nearest tenth.

Answers

The distance between the point A and point B is 9.5 units

Distance between two points

The formula for calculating the distance between two points is expressed according to the formula shown below;

AB = √(x₂-x₁)²+(y₂-y₁)²

Using the given coordinates points A(5, -3) and B (-4, -6)

Substitute to have:

AB = √(5-(-4))²+(-3-(-6))²

AB = √(5+4)²+(-3+6))²

AB = √81+9

AB =  √90

AB = 9.5 units

Hence the distance between the point A and point B is 9.5 units

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If the volume of a cube increases at rate of 3 cm^3/sec what is the rate of increase of the length of its side ?

Answers

Greetings from Brasil...

We know that

V = L³  ⇒  L = ∛V

and

dV/dt = 3cm³/s   (volume rate as a function of time)

Let

dL/dV = L' = 1/(3∛V²)    

We need dL/dt (side rate as a function of time), so

(dV/dt) . (dL/dV) = dL/dt

then

dL/dt = 3 . [1/(3∛V²)]

dL/dt = 1/∛V²

Quadrilateral B is a scaled copy of quadrilateral A.
Its shortest side is 5 units long.
What is the scale factor from A to B?

Answers

By using the concept of dilation, we find that scale factor from A to B is equal to l' / 5, where l' is the length of the shortest side of the quadrilateral B.

What is the scale factor between two quadrilaterals?

Scale factor is a key variable used to dilate lengths and distances by rigid transformations. Then, the length of the shortest side of the quadrilateral B is equal to the product of the scale factor and the length of the shortest side of the quadrilateral A. Mathematically speaking, this kind of rigid transformation is represented by the following formula:

r = l' / l      

Where:

r - Scale factorl - Length of the shortest side of the quadrilateral A.l' - Length of the shortest side of the quadrilateral B.

If we know that l = 5, then the length of the shortest side of the quadrilateral B is equal to the following linear equation:

l' = 5 · r

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Are f(x) = 2x+4, g(x) = x-2 inverse of each other?

Answers

Answer:

This problem has been solved! See the answer Show transcribed image text Expert Answer Transcribed image text: Decide whether or not the functions are inverses of each other. f (x) = 2x + 4, g (x) = x – 2 no yes The function fis one-to-one.

Step-by-step explanation:

Francesca us making a scale drawing of the mural on a wall in her schools hallway.the mural is 12 ft high and 135 ft long.she is using a scale of 3 cm for every 4 ft.what is the dimensions of her scale drawing?

Answers

The dimensions of her scale drawing is 9 centimeters high and 101.25 centimeters long.

As we are informed from the question -

Measurement in real = measurement on scale

The 4 feet height measures 3 centimeters on scale

So, height of 12 feet on scale will be = (3/4) × 12

Performing multiplication and division to find the height of scale drawing

Height 12 feet on scale = 9 centimeters

The length of 135 feet will measure on scale = (3/4) × 135

Performing multiplication and division to find the height of scale drawing

Length 135 feet on scale = 101.25 centimeters

So, the dimensions of scale drawing will be 9 centimeters high and 101.25 centimeters long.

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what equations do u insert in between these numbers to get the answer

a.5 8 3 9 =50

b.12 6 2 10=14

c.4 5 6 10=24

d.7 4 6 9 7= 16

e.4 9 6 2 =52

f.45 5 9 3 7=102

Answers

Answer:

a 5 8 3

Step-by-step explanation:

6j^2-2j-9=0 I need help now

Answers

Answer:

6j^2 - 2j = 9

j^2 -(2/6)j = 9/6

j^2 - (2/6)j + 1/36 = 9/6 + 1 /36

(j - 1/6)^2 = 55/36

j - 1/6 = √55/36

j = (√55/36) + 1/6

j = 1.40

Step-by-step explanation:

step 1 transpose 9 and it becomes positive.

step two divide everything by 6 so that j^2 has a coefficient of 1.

step 3 make a perfect square.

Then it's just simple calculations to get the answer

Please help! Find the value of FG. The drawing is not to scale. EF=11 and EG=21

Answers

The value of FG is 32.

The drawing is attached with this.

Given that,

Value of EF = 11

Value of EG = 21

From the above given data we can assume that F and G be the corner points.

E is the point lie between F and G.

We have to find the value of FG. It may be a straight line.

So,

Value of FG = Value of EF + Value of EG

FG = 11 + 21

FG = 32

That is, the value of FG is 32.

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Use the distributive property to write an equivalent expression.
4(w-2x+4)

Answers

I think the answer is 4w - 8x + 16.

You want to put a 5 inch thick layer of topsoil for a new 20 ft by 12 ft garden. The dirt store sells by the cubic yards. How many cubic yards will you need to order? The store only sells in increments of 1/4 cubic yards.

Answers

Answer:64

Step-by-step explanation: 12 x 2 = 24 and 20 x 2 = 40 and if you add it all up it equals 64 cubic yards please tell me if i'm wrong

Under what conditions for the constants a, b, k, and l is (ax by) dx (kx ly) dy = 0 exact? solve the exact ode.

Answers

∫dF=F(x,y)=12ax2+bxy+12ℓy2+c=0 is the exact ode.

What is the exact equation?

Specifically, an exact equation is a differential equation that can be solved instantly without the aid of any specialized methods. If the result of a straightforward differentiation, a first-order differential equation (of one variable) is referred to as an exact differential or exact differential. The equation

P(x, y)dy/dx + Q(x, y) = 0,

or in the equivalent alternate notation

P(x, y)dy + Q(x, y)dx = 0,

is exact if

∂P(x, y)/∂x =  ∂Q(x, y)/∂y

In this instance, a function R(x, y) will exist whose partial x-derivative is Q and partial y-derivative is P, and whose equation R(x, y) = c (where c is constant) will implicitly establish a function y that will satisfy the initial differential equation.

An exact ODE is one where the equation can be written as  dF=0  for some  F(x,y). Expanding using chain rule, this means an equation of the form

∂1Fdx+∂2Fdy=0

Now if the second partials of  F  exist and are continuous, they must be equal due to Clairaut. So, given an equation

Mdx+Ndy=0

if we have

∂2M=∂1N

then there is an  F  such that

M=∂1F, N=∂2F

and hence that equation is exact, and the solution is simply

∫dF=0

We have

M=ax+by⇒∂2M=b

N=kx+ℓy⇒∂1N=k

so to be exact, we must have that  b=k .

Then, integrating  M  and  N , we have

F(x,y)=∫Mdx=12ax2+bxy+g(y)

F(x,y)=∫Ndy=bxy+12ℓy2+h(x)

and comparing these two, we can see that

∫dF=F(x,y)=12ax2+bxy+12ℓy2+c=0

is a solution to the equation for any  a,b,c,ℓ . You can solve for  y  by quadratic methods.

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does someone mind helping me with this question? Thank you!

Answers

Answer: Slope: 3

Step-by-step explanation:

Slope formula: m=(y2-y1)/(x2-x1)

m=(4-(-2))/(3-1)

m=(4+2)/2

m=6/2

m=3

You need to buy a 20-foot length of 15-wide carpet that costs $29.50 per square yard. How much will this cost?
Please include steps!!

Answers

The cost of the carpet will be $983.33

Calculating cost

From the question, we are to calculate how much the carpet will cost

From the given information,

The carpet has a length of 20 feet

and a width of 15 feet

First, we will covert the dimension to yard

NOTE: 1 foot = 1/3 yards

Thus,

20 feet = 20/3 yards

and

15 feet = 15/5 yards = 5 yards

Now, we will calculate the area of the carpet

Using the formula,

Area = Length × Width

Area of the carpet = 20/3 × 5 square yard

Area of the carpet = 33.33 square yard

Now, we have that

The carpet costs $29.50 per square yard

∴ The cost of the carpet = 20/3 × 5 × $29.50

The cost of the carpet = $ 983.33

Hence, the cost of the carpet will be $983.33

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Could I have help, please look at the picture

Answers

Answer:

80

Step-by-step explanation:

We have a specific formula for the Surface Area of a Pyramid.

Which is= A+1/2ps ))))

1. A stands for the Area of the base. let's find our area! (This is length x width)

So this is 4x4=16

2. Now, P stands for PERIMETER of the base, which means we add all of the sides together. That would be 4+4+4+4=16.

3. Finally, S stands for Slant Height. Which is eight inches.

Lets plug our numbers in!

4. Now we get a sparkly, full formula! 16+1/2x16x8

5. 16+1/2x128

6. 16+64

7. 80

if this answer is wrong, dislike it/report it!
much love <333 have a nice day!

13⅘ + (2.6)
11.2

16.0

-10.8

-11.2

Answers

Step-by-step explanation:

[tex] {13}^{ \frac{4}{5} } + 2.6 \\ [/tex]

[tex] \sqrt[5]{(13) {}^{4} } + 2.6 \\ [/tex]

[tex] \sqrt[5]{28561} + 2.6 \\ [/tex]

[tex]7.78 + 2.6 = 10.38 \\ [/tex]

What factor is paired with 6 to give to24

Answers

Answer: 4

Step-by-step explanation:

f=factor

24=6*f

24/6=f

f=4

Answer:

4 is paired with 6 to get 24

Step-by-step explanation:

Here are some examples I got from my math teacher:

So How do you find the factor pairs?

Factor pairs are a set of two integers that give a particular product when multiplied together. For example, 2 and 5 are a factor pair for the product of 10. Factor pairs can be negative numbers, but they must be whole numbers – that means that they can't be a fraction or a decimal.

Which equation correctly represents how the total mechanical energy (ME) of
a system relates to its kinetic energy (KE) and gravitational potential energy
(GPE)?

Answers

The accurately captures a system's gravitational potential energy:

ME = KE + GPE.

What is gravitational potential energy?

Gravitational potential energy is the energy that an object possesses or acquires as a result of a change in its position when it is in a gravitational field. In layman's terms, gravitational potential energy is energy that is tied to gravitational force or gravity.

What is the difference between gravitational kinetic energy and potential energy?

The energy held in an object due to its height above the ground is known as gravitational potential energy. It is determined by the object's mass, the gravitational acceleration caused by the Earth, and the object's height. Kinetic energy is the energy that an object possesses as a result of its motion.

According to the given data:

An object's mechanical energy is equal to the sum of its kinetic energy and potential energy. If ME is mechanical energy and KE is kinetic energy, then PE is its potential energy.

ME = PE + KE

KE = (1/2) mv^2

PE = ME - KE

PE = ME - 1/2(mv²)

PE = ME - 1/2(mv²)

PE = ME - KE

ME = KE + GPE

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Answer:

B

Step-by-step explanation:

ME equals the sum of KE and GPE






35. The sum of the angles of a polygon is 1620°. Calculate the number of sides that polygon has.

Answers

Answer:

11

Step-by-step explanation:

total angle of a polygon formula:

180 * (n-2)     n is no. of sides

180 * (n - 2) = 1620

1620/180 = n-2

9 = n - 2

9 + 2 = n

n = 11

please help me
Here are two expressions whose sum is a new expression, A.

(2x2+5)+(6x□−7)=A
Select all the values that we can put in the box so that A is a polynomial.

Answers

Answer:

D, F and G

Step-by-step explanation:

A polynomial must have a negative exponent for the variable term. So we can eliminate A, B and C

Also no fractional exponents so eliminate E

F & G are positive exponents so acceptable

D has the exponent 0 so the term becomes (2x² + 5) + (6x⁰ + 7)
x⁰ = 1 so the expression becomes 2x² + 5 + 6 + 7 = 2x² + 18 which is a polynomial.

a submarine is traveling 200 feet below sed level it then ascends 75 feet what is the new position of the submarine?

Answers

Answer: 83

Step-by-step explanation:

you travill 25 feet long

Evaluate the function.
ƒ(x) = −3x² − x – 15

Find f(−8)

Answers

Given ~

[tex] \: [/tex]

[tex] \tt \: f(x) = −3x² − x – 15[/tex]

[tex] \: [/tex]

now , put x= -8 in the function ~

[tex] \: [/tex]

[tex] \tt \: f( - 8) = −3( - 8)² − ( - 8) – 15[/tex]

[tex] \: [/tex]

[tex] \tt f(-8) = −3(64) − (-8) – 15[/tex]

[tex] \: [/tex]

[tex]\tt f(-8) = −192 − (-8) – 15[/tex]

[tex] \: [/tex]

[tex] \tt f(-8) = −192 − (-8) – 15[/tex]

[tex] \: [/tex]

[tex]\tt f(-8) = −184 – 15 [/tex]

[tex] \: [/tex]

[tex] \underline{\boxed{\red {\tt f(-8) = - 199}}}{\green ✓} [/tex]

[tex] \: [/tex]

hope helps ~

solve 2x + 6 < 10 or 2x + 8 > 20.

Answers

Answer:

Step-by-step explanation:

the answer you end up getting is D

2x/2 > 12/2x > 6

Because x is greater than 2

Is the following sentence true?
Changing 3x + 6 into 3(x + 2) is
an
example of reverse distributing

Answers

Answer:

true

Step-by-step explanation:

yes, i believe that is true because you are basically going backwards with 3x + 6 to 3(x + 2)

Determine the following. Complementary angles

Answers

2.Is ABC
3.is 73
4.ADC=90

y(x) = a³ + cos(x) differentiate function using chain rule

Answers

Answer: -sinx

the derivative of f(x)f(x) with respect to x is the function f′(x)f′(x) and is defined as,

f’(x) = lim h tends to 0 [ f(x + h) – f(x) / h ]

A function f(x)f(x) is called differentiable at x=ax=a if f′(a)f′(a) exists and f(x)f(x) is called differentiable on an interval if the derivative exists for each point in that interval.

y = cos(x) + a^3

differentiating both sides with respect to x

dy / dx = d/dx (cosx)  +  d/dx (a^3)

by basic differentiation we know that

d/dx of cosx  = -sinx

and differentiation of a constant is 0

therefore,

dy / dx = -sinx + 0

dy / dx = -sinx

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what fraction is equivalent to -0.5​

Answers

The answer is -1/2. Hope it helps

In which triangle is the value of x equal to tan−1(StartFraction 3.1 Over 5.2 EndFraction)?

(Images may not be drawn to scale.)

A right triangle is shown. The length of the hypotenuse is 5.2 and the length of the side adjacent to the right angle is 3.1. The angle between the 2 sides is x.
A right triangle is shown. The length of the hypotenuse is 5.2 and the length of the side adjacent to the right angle is 3.1. The angle opposite to side with length 3.1 is x.
A right triangle is shown. The length of 2 sides are 5.2 and 3.1. The angle opposite to side with length 5.2 is x.

Answers

The right triangle that shows the length of the two sides is 5.2 and 3.1.

It is required to find the triangle.

What is trigonometry?

The branch of mathematics dealing with the relations of the sides and angles of triangles and with the relevant functions of any angles.

Given:

In trigonometry function, in a right triangle, a tangent of an angle x is equal to the ratio of the opposite side to angle x to the adjacent side to angle x.

According to given question we have:

Given that angle x will be:

[tex]x=tan^{-} \frac{3.1}{5.2}[/tex]

The opposite to angle x or perpendicular = 3.1 units

The adjacent side to angle x or base angle  = 5.2 units

Therefore, the right triangle that shows the length of the two sides is 5.2 and 3.1.

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Answer:

b

Step-by-step explanation:

Describe how to show 5-4 subtraction problem on a number line.

Answers

Answer: By having the arrow going to the left of the number line

Step-by-step explanation:

When subtracting, you always go to the left of the number line. Just like how you go to the right when adding. also having the line going from 5 to 1.

Vector u has a magnitude of 10inches with a direction angle of 45 degrees. vector v has a magnitude of 10 inches and a direction angle of 225 degrees. what are the magnitude and the direction angle for the resultant vector?

Answers

The magnitude of the vector is 10√2 and the direction of the vector is 78.69°

Magnitude and the direction of the vectors:

A vector is a directed line segment with an initial point and a terminal point.

To calculate the magnitude of the vector using the Pythagorean Theorem or the distance formula, and to find its direction using the inverse tangent function.

The formula for the magnitude of the vector is

|v|=√(a²+b²)

And the formula for the direction of the vector is,

θ=tan⁻¹(b/a)

where

(a, b) represents the given point.

Given,

Vector u,

Magnitude = 10 in

Direction angle = 45°

Vector v,

Magnitude = 10 in

Direction angle = 225°

Now we have to find the magnitude by apply the value on it,

=> |v|=√(10² + 10²)

=> |v|=√(100 + 100)

=> |v|=√200

=> |v|=√2 x 100

=> |v|=10√2

Similarly, the direction of the vector is,

=> θ = tan⁻¹ (225 / 45)

=> θ = tan⁻¹ (5)

=> θ = 78.69°

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