x^4+64 will be the perfect square by adding

Answers

Answer 1

Answer:

[tex]( { {x}^{2} })^{2} + 16 {x}^{2} + {8}^{2} \\ ( {x}^{2} + 8) ^{2} \\ ( { {x}^{2} })^{2} - 16 {x}^{2} + {8}^{2} \\ ( {x}^{2} - 8) ^{2} [/tex]

+16x² or -16x² is the answer

Related Questions

A system of equations and its solution are given below.

System A
5x-y=-11
3x-2y=-8
solution: (-2,1)

To get system B below, the second equation in system A was replaced by the sum of that equation and the first equation in system A multiplied by -2.

System B
5x-y=-11
?


A.
The second equation in system B is -7x = 14. The solution to system B will not be the same as the solution to system A.
B.
The second equation in system B is -7x = 14. The solution to system B will be the same as the solution to system A.
C.
The second equation in system B is 7x = 30. The solution to system B will be the same as the solution to system A.
D.
The second equation in system B is 7x = 30. The solution to system B will not be the same as the solution to system A.

Answers

I think its B i could be wrong though
B I had this one one of my test before

using the diagram below, what is the measure of ∠E?

Answers

Step-by-step explanation:

angle e = 50 degree,,,,,,,

Find the HCF of:
3x and 6x.​

Answers

Answer:

3x

Step-by-step explanation:

We need to find the HCF of given two numbers .HCF is the Highest Common factor for two or more than two numbers . The given numbers are ,

[tex]\implies Numbers = 3x \ and \ 6x [/tex]

Let's factorise the numbers , we get .

[tex]\implies 3x = 3 \times x [/tex]

[tex]\implies 6x = 3\times 2 \times x [/tex]

The common factors are 3 and x . Therefore the HCF is 3 × x = 3x .

[tex]\implies\underline{\underline{ HCF = 3x }}[/tex]

What is the equation of the line that has a slope of 3 and passes through the point (1, -2)

Answers

Answer:

. JUST LOAD

Step-by-step explanation:

Which number line represents the solution set for the inequality-1/2x>_4

Answers

Answer:

B

Step-by-step explanation:

Firstly, we solve for x

-x ≥ 2 * 4

-x ≥ 8

Multiply both sides by -1

x ≤ -8

So we look at the inequality represented by this;

We can see that the correct inequality is option B;

wo runners are saving money to attend a marathon. The first runner has $112 in savings, received a $45 gift from a friend, and will save $25 each month. The second runner has $50 in savings and will save $60 each month.

Which equation can be used to find m, the number of months it will take for both accounts to have the same amount of money?

112 – 25m + 45 = 50 – 60m
112 + 25 + 45m = 50m + 60
112 + 25 – 45m = –50m + 60
112 + 25m + 45 = 50 + 60m

Answers

Answer:

I believe the last answer is correct

Step-by-step explanation:

Both runners are gaining money

52.3 X 16.0 please help me thank you so much !

Answers

Answer:

836.8

Step-by-step explanation:

find the value of "a" and "b" for which the limit exists both as x approaches 1 and as x approaches 2:

Answers

Answer:

a = 4

b = -2

Step-by-step explanation:

If the given function is continuous at x = 1

[tex]\lim_{x \to 1^{-}} f(x)=(x+1)[/tex]

                     [tex]=2[/tex]

[tex]\lim_{x \to 1^{+}} f(x)=ax+b[/tex]

                     [tex]=a+b[/tex]

[tex]\lim_{x \to 1} f(x)=ax+b[/tex]

                   [tex]=a+b[/tex]

And for the continuity of the function at x = 1,

[tex]\lim_{x \to 1^{-}} f(x)=\lim_{x \to 1^{+}} f(x)=\lim_{x \to 1} f(x)[/tex]

Therefore, (a + b) = 2 -------(1)

If the function 'f' is continuous at x = 2,

[tex]\lim_{x \to 2^{-}} f(x)=ax+b[/tex]

                     [tex]=2a+b[/tex]

[tex]\lim_{x \to 2^{+}} f(x)=3x[/tex]

                     [tex]=6[/tex]

[tex]\lim_{x \to 2} f(x)=3x[/tex]

                   [tex]=6[/tex]

Therefore, [tex]\lim_{x \to 2^{-}} f(x)=\lim_{x \to 2^{+}} f(x)=\lim_{x \to 2} f(x)[/tex]

2a + b = 6 -----(2)

Subtract equation (1) from (2),

(2a + b) - (a + b) = 6 - 2

a = 4

From equation (1),

4 + b = 2

b = -2

please help me with my work

Answers

They have just halved 48
Instead as it says they should do 2 x 48 which is 96
As there are 96 halves within 48

When you are multiplying by a fraction, you have to flip the sign around and the fraction around. Fiona thought she was dividing in half but in reality, she should be multiplying by 2. 1/2 flipped around is 2/1 which equals 2. And since you switch the division sign to a multiplication sign, the new equation will be 48x2. Which equals 96

Hope this helps and if it does, don't be afraid to give my answer a "Thanks" and maybe a Brainliest if it's correct?  

I need some help with this one. Please give it a go! Thank you for your time!

Answers

Answer:

A) [tex]3x^{2} - x - 4[/tex]

B) [tex]-3x^{2} -4x -5[/tex]

Step-by-step explanation:

The length of a small rectangular room is "6 more than the width" and the
area of the room is 27 square units. Which of the following represents the
dimensions of the room?
O 3 and 6
O 6 and 9
6 and 6
3 and 9

Answers

The answer is 3 and 9
3 and 9
The area of a rectangle is:
length x width

We know that the length is 6 more than the width and the area of 27 sq units:
3 and 9 are the dimensions because:
3 x 9 = 27
The width (3) is plus 6 equals to 9 (the length)
Hope this helps!

Question 4 (5 points)
Determine the value of x.

4v2
8V2
4
8

Answers

Answer:

Step-by-step explanation:

Three less than the product of a number and six is twenty seven

Write an equation to represent the sentence:

Answers

Answer:

let the number be a

product of a number and six = 6 times a=6a

three less than the product of a number= 6a-3

then the full equation will be 6a-3=27

Peter cycles for 1/4 hours at a speed of 20 km/h
and for another for 1/2 hour at 16 km/h. What is his
average speed?

Answers

Answer:

His average speed is

12 km/hr

.

Step-by-step explanation:

Remember the triangle of Speed, Distance and Time. If you remember it, you'll ace these kinda questions.

I had trouble with these formulas but the triangle helped me a LOT! Anyways, let's get back to the question. The formula for average speed is pretty much the same as the formula for just speed. The average speed formula is

Average speed

=

Total Distance

Total Time

So......

48 km

4 hr

=

12 km/hr

My source

I hope this explanation helps you!

What is the relationship between an angle of elevation and an angle of depression in a right triangle?

Answers

Answer: Angles of Elevation and Depression are used in measuring heights and distances in trigonometric applications using right triangles. These angles are made when we look up or down to view objects. Devices are available to measure angles of elevation and depression. These measured angles can be used in measuring heights and distance which are either tedious or impractical to measure, by modelling the situation into right triangles

Answer:

Angles of Elevation and Depression are used in measuring heights and distances in trigonometric applications using right triangles. These angles are made when we look up or down to view objects. Devices are available to measure angles of elevation and depression. These measured angles can be used in measuring heights and distance which are either tedious or impractical to measure, by modelling the situation into right triangles

Step-by-step explanation:

correct on EDGE2021

Hi i’m looking for some help
Find the volume of this sphere.
Use 3 for 7.
V
V~ [?]in3
V = $703
11 in

Answers

Answer:

Step-by-step explanation:

Volume of a sphere is

[tex]V=\frac{4}{3}\pi r^3[/tex] And using r = 11 and pi = 3 (which is so far off, it's ridiculous):

[tex]V=\frac{4}{3}(3)(11)^3[/tex] which gives us that

V = 5324 in³

Which equation, when graphed, has x-intercepts at (2.0) and (4.0) and a y-intercept of (0.-16)?
f(x) = -(x-2)(x-4)
f(x) = -(x + 2)(x + 4)
O f(x) = -2(x-2)(x-4)
O f(x) = -2(x + 2)(x + 4)

Answers

Answer:

equation 3 for the x intercept ley Y =0 and for the Y intercept let X =O

Suzi is 1.7 meters tall. At 2:00 pm, Suzi measures her shadow to be 0.3 meters long. At the same time, a nearby tree casts a shadow that is 2.4 meters long. How tall is the tree?

Answers

Answer:

13.6 meter

Step-by-step explanation:

Given that :

Suzi's height, p1 = 1.7 m

Suzi's shadow, p2 = 0.3 m

Tree shadow, t2 = 2.4 m

Tree height, t1 =?

Using the relation :

p1 / p2 = t1 / t2

1.7 / 0.3 = t1 / 2.4

Cross multiply :

1.7 * 2.4 = 0.3 * t1

4.08 = 0.3t1

t1 = 4.08 / 0.3

t1 = 13.6

Height of the tree is 13.6 m


Of the methods for solving systems of equations, which is best used when one equation is solved for either x or y, or can easily be solved for x or y?

Answers

elimination is easier

Answer:

Elimination

Step-by-step explanation:

2. In AABC, m < B = 22°, m < C = 52° and a = 30. Find the length of b to the nearest tenth.

Answers

Answer:

232

Step-by-step explanation:

Answer:  11.7

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

Explanation:

I recommend drawing out the triangle. See below.

Notice how each lowercase letter is a side length, and the uppercase letters are angles. Also, each lowercase letter is opposite their corresponding uppercase counterpart.

side a is opposite angle Aside b is opposite angle Bside c is opposite angle C

We're given that angles B and C are 22 degrees and 52 degrees in that order. Let's use the fact that the three angles of any triangle must add to 180 to solve for angle A

A+B+C = 180

A+22+52 = 180

A+74 = 180

A = 180-74

A = 106

We do this so we can then apply the law of sines

sin(A)/a = sin(B)/b

sin(106)/30 = sin(22)/b

b*sin(106) = 30*sin(22) ....... cross multiplication

b = 30*sin(22)/sin(106)

b = 11.6910908340182 ....... which is approximate

b = 11.7

Make sure your calculator is in degree mode.

Arc AC is adjacent to arc CD. If arc AC measures 35 degrees and arc CD measures 45 degrees, what is the measure of arc AD according to the Arc Addition Postulate?

Answers

Answer:

80°

Step-by-step explanation:

You just need to sum up the values according to arc addition postulate:

the measure of the arc formed by two adjacent arcs is the sum of the measures of the two arcsm(arc AD) = m(arc AC) + m(arc CD)m(arc AD) = 35° + 45° = 80°

Now we have to find,

The measure of arc AD according to the Arc Addition Postulate.

AD is the sum of the measures of the other two arcs. Then measure of AD is,

→ AC + CD

→ 35° + 45°

→ 80° (final answer)

Hence, the measure of arc AD is 80°.

Question 14
The coordinates of triangle ABC are A(2,3), B(2,-1), C(-1,-1). Describe the ordered pairs after the tranformation D3.

Answers

CBC nana we h ifkemw we enebe w we

The ordered pairs of the transformation are A'(1,2), B'(1,-2), C'(-2,2) of the coordinates of the triangle ABC are A(2,3),B(2,-1),C(-1,-1).

What is meant by coordinates?

They are the points which together when jointed form a triangle.

How to do transformation of a triangle?

The transformation of triangle whose coordinates are as A(2,3), B(2,-1), C(-1,-1) is done as follows:

A'=(2-1,3-1)=(1,2)

B'=(2-1,-1-1)=(1,-2)

C'=(-1-1,-1-1)=(-2,-2)

Hence the ordered pairs are (1,2)(1,-2)(-2,-2).

Learn more about transformation of a triangle at https://brainly.com/question/4289712

#SPJ2

Someone help me with this math homework please!

Answers

Answer:

Option number B

Step-by-step explanation:

As per the statement:

Pieter wrote and solved an equation that models the number of hours it takes to dig a well to a level of 72 feet below sea level.

Given the equation as:

7h - 5 ( 3h -8 ) = -72

Using distributive property, 

a ⋅ ( b + c ) = a ⋅ b + a ⋅ c

7h - 15h + 40 = - 72

Combine like terms;

-8h + 40 = -72

Subtract 40 from both sides we have;

-8h 8= -112

Divide both sides by -8 we have;

h = 14 hours

Therefore, the statement is true about Pieter’s solution is, It must be a positive number since it represents a number of hours.

What is the coefficient of x3 in the expansion of (2x−3)5?

Group of answer choices

a) -360

b) 720

c) 10

d) -5

e) -120

Answers

Answer:

B 720

Step-by-step explanation:

same process as the previous image I sent ya

Answer:

B) 720.

Step-by-step explanation:

We can use the Binomial Expansion Theorem:

[tex]\displaystyle (a+b)^n=\sum_{k=0}^{n}\binom{n}{k}a^kb^{n-k}[/tex]

We have the expression:

[tex]\displaystyle (2x-3)^5[/tex]

Therefore, a = 2x, b = -3, and n = 5.

We want to find the coefficient of . To get x³, we can cube a. Therefore, we can find our coefficient by letting k = 3. Hence:

[tex]\displaystyle \binom{5}{3}(2x)^3(-3)^{5-3}[/tex]

Evaluate:

[tex]\displaystyle =10(8x^3)(9)=720x^3[/tex]

Our answer is B.

find the size of each of the unknown angles.
plz solve this question fast as soon as possible with solution.

Answers

Answer:

Angle a = 80°, Angle b = 55°, Angle c = 45°, Angle d = 80°

Step-by-step explanation:

To find the measure of Angle a, we add 55 and 45, then subtract the sum from 180.

180 - 100 = 80

Angle a is 80°.

Then, we solve for Angle b. Line segment CD is congruent to Line AB, so Angle b is congruent to 55°.

After that, we find Angle c. Line segment AC is congruent to Line segment BD, so Angle c is congruent to 45°.

Lastly, we solve for Angle d using the same method we used for Angle b and Angle c. Angle d is congruent to Angle a, so it measures 80°.

So, Angle a = 80°, Angle b = 55°, Angle c = 45°, Angle d = 80°.

Find angle D if angle B = 50

Answers

Answer:  80 degrees

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

Explanation:

I'm assuming that segments AD and CD are tangents to the circle.

We'll need to add a point E at the center of the circle. Inscribed angle ABC subtends the minor arc AC, and this minor arc has the central angle AEC.

By the inscribed angle theorem, inscribed angle ABC = 50 doubles to 2*50 = 100 which is the measure of arc AC and also central angle AEC.

----------------------------

Focus on quadrilateral DAEC. In other words, ignore point B and any segments connected to this point.

Since AD and CD are tangents, this makes the radii EA and EC to be perpendicular to the tangent segments. So angles A and C are 90 degrees each for quadrilateral DAEC.

We just found angle AEC = 100 at the conclusion of the last section. So this is angle E of quadrilateral DAEC.

---------------------------

Here's what we have so far for quadrilateral DAEC

angle A = 90angle E = 100angle C = 90angle D = unknown

Now we'll use the idea that all four angles of any quadrilateral always add to 360 degrees

A+E+C+D = 360

90+100+90+D = 360

D+280 = 360

D = 360-280

D = 80

Or a shortcut you can take is to realize that angles E and D are supplementary

E+D = 180

100+D = 180

D = 180-100

D = 80

This only works if AD and CD are tangents.

Side note: you can use the hypotenuse leg (HL) theorem to prove that triangle EAD is congruent to triangle ECD; consequently it means that AD = CD.

Yuto and Riko went for a bike ride on the same path. When Riko left their house, Yuto was 5.25 miles along the path. If Yuto’s average speed was 0.25 miles per minute and Riko’s average speed was 0.35 miles per minute, then Riko will be behind Yuto when 0 ≤ t < 52.5, where t is time in minutes. Explain what this solution means and why t cannot be less than zero

Answers

Answer:

Step-by-step explanation:

the statement  0 < t < 52.5  represents all the time values for when Riko is behind Yuto,   she catches up to Yuto at 52.5 minutes into her ride.   Her ride starts at time of zero , so she can't have a negative time,  like -4  because she isn't involved in the activity of riding her bike.  

Answer:

The solution means that Riko will be behind Yuto from the time she leaves the house, which corresponds to t = 0, until the time she catches up to Yuko after 52.5 minutes, which corresponds to t = 52.5. The reason that t cannot be less than zero is because it represents time, and time cannot be negative.

Step-by-step explanation:

Consider this system of equations. Which shows the second equation written in slope-intercept form? y = 3 x minus 2. 10 (x + three-fifths) = 2 y y = 5 x + StartFraction 3 Over 10 EndFraction

Answers

Answer:

[tex]y = 5x + 3[/tex]

Step-by-step explanation:

Given

[tex]y = 3x - 2[/tex]

[tex]10(x + \frac{3}{5}) = 2y[/tex]

Required

The second equation in slope intercept form

We have:

[tex]10(x + \frac{3}{5}) = 2y[/tex]

Divide both sides by 2

[tex]5(x + \frac{3}{5}) = y[/tex]

Open bracket

[tex]5x + 3 = y[/tex]

Rewrite as:

[tex]y = 5x + 3[/tex]

Hence, the equation in slope intercept form is: [tex]y = 5x + 3[/tex]

Answer: I agree with the other person

Step-by-step explanation:

How to solve ,step by step

Answers

Answer:

gradient = slope = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex] = [tex]\frac{rise}{run}[/tex]

Slope intercept Form equation : y = mx + b

m = slope or gradient

b = y - intercept ( where the line crosses the y = axis)

x and y = are place holders for a coordinate pair that makes the equation true

c) y = -6x + 8

The -6 is the m. It's the slope or gradient.

the + 8  is the b. It's the y- intercept.

d) y = 4

This is a horizontal line. It intercepts the y-axis at 4.

That means the 4 is the y-intercept.

There is no x. That means the slope is 0. The line rises 0 as it runs left to right.

e) y -4x= 0  

equation needs to be is standard form y = mx + b.

add 4x to both sides in order to isolate the y variable.

y = 4x + 0.

The slope or gradient is 4. The y - intercept is 0. The line crosses through the origin.

f) y -x = -8

Add x to both sides.

y = x - 8

There is one x.  That means the gradient is 1. The y-intercept is the -8

g) y + 3x = 7

Subtract 3x from both sides.

y = -3x + 7

-3 = gradient. 7 = y-intercept.

h) y + [tex]\frac{1}{2}[/tex]x = -4

Subtract [tex]\frac{1}{2}[/tex]x from each side.

y = -[tex]\frac{1}{2}[/tex]x - 4

One last thing. If you are presented with an equation without a y, the gradient is  'undefined'.

example : x = 4

This a vertical line passing through 4 on the x-axis. There is no 'b' because its not crossing the y-axis.

Why is it 'undefined' ?

As the line rises it, it does not 'run' left or right. [tex]\frac{rise}{0}[/tex] . Zero can never, ever be in the denominator. Denominators can't be zero. That is why we say it's 'undefined'.

Hope this helps.

What is the value of a?
A.50 B.90 C.27.5 D.45

Answers

Answer:

[tex]a = 45 \times 5 \\ a = 90 \degree[/tex]

Answer:

B. 90

Step-by-step explanation:

The 45° angle is an inscribed angle that subtends arc a.

An inscribed and measures half the measure of its subtended arc.

45° = (1/2) * a°

a = 2 * 45

a = 90

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The value of mass remains constant but weight changes place to place why what's the answer to this i need help.A. 145B. 35C. 55D. 75 A desert region would be most likely to experience what type of weathering?A. ExfoliationB. BiologicalC. SedimentaryD. Freeze-thaw Louise owns a hot dog stand. The amount of money she collects from selling hot dogs each day can be found by using the equation y=3.5x What does 3.5 from the equation represent in the situation? The volume of a single tantalum atom is 1.2010-23 cm3. What is the volume of a tantalum atom in microliters? What rules applies to long quotations in MLA in-text citations a) Surround with quotation marks; double space lines b) Indent and start a new line; single space lines c)indent and start a new line; double space lines 1) The percentage of oxygen in dry air is _______A. 0.1 B. 1.0C. 21D. 792) The composition of the Earths earliest atmosphere was different to that of the present atmosphere. Which of these gases was present in large amounts in the Earths earliest atmosphere?A. OxygenB. Carbon dioxide C. Ammonia D. Nitrogen 3. Does entropy increase or decrease in the following processes?A. Complex carbohydrates are metabolized by the body, converted into simple sugars.Answer: Increasees-lesundB. Steam condenses on a glass surface.Answer:decreare-->MgCl2(s)C. Mg(s) + Cl2(g)correctAnswer: How does the fourth amendment impact your life? Which of the following is not a function?O A. {(1,2), (2,2), (3,2), (4,2)}B. {(1,2), (9,-3), (-3,-1), (8,2)}C. {(1,2), (2,3), (3,4), (4,5)}D. {(1,2), (-2,3), (1,3), (-2,2)} find 9 rational no. between 8/7 and 17/10. Explain how the quotient of powers was used to simplify this expression A box has length 4 feet, width 5 feet, and height 8 inches. Find the volume of the box in cubic feet and in cubic inches. People........ (meet) and ....... (share) their Joys and sorrows over several cups of tea. Which of the following is an important number to remember when seekingemployment?A. Student ID numberB. Social Security numberC. Driver's license numberD. GPA Select the correct answerWhich term refers to the maximum number of organisms of a particular species that can be supported by an environment?OA Population densityOB Exponential growthOG carrying capacity Who had the most political power in Mississippi in the early 1800s?O military leadersO the governorO party leadersO wealthy landowners What nation was upset with theUnited States prior to launching itsattack on Pearl Harbor in 1941.A. GermanyB. JapanC. China people differ in their working-memory capacity. b. memory acquisition depends on previous knowledge, and everyone has different knowledge. c. some people have foolish ideas about how to proceed when they really want to memorize something. d. researchers do not agree on the best ways to test memory.