factor the following using the difference of squares method

a) x^2 - 16 b) 9y^2 - 25

Answers

Answer 1

Answer:

a)

[tex] {x}^{2} - 16 \\ = {x}^{2} - {4}^{2} \\ = (x + 4)(x - 4)[/tex]

b)

[tex] {9y}^{2} - 25 \\ = {(3y)}^{2} - {5}^{2} \\ = (3y + 5)(3y - 5) [/tex]

here is the answer hope that will help you


Related Questions

GIVE AWAY PLEASE TAKE IT

Answers

Answer:

I guess, as long as this is an act of kindness. Thanks?

Answer:

x=7

Step-by-step explanation:

Solution of your latest question

because i can't get any answer option there ....so posting it heree .....

hope you get it before it got deleted

answer this for 25 points and brainliest

Answers

Answer:

B

Step-by-step explanation:

For percentage, you take the percent symbol and move it two spaces to the left and make it a decimal, hence the .32 and then you multiply it by the integer you want to find the percent of, 130.

Answer:

0.32 x 130

Step-by-step explanation:

A percentage is out of 100;

32% = 32/100

32/100 = 0.32

32% of 130 is a multiplication problem (of : multiplication).

0.32 x 130 = 41.6

State the quadrant in which lies if secθ > 0
and cscθ < 0.
A) Quadrant I
B) Quadrant II
C) Quadrant III
D) Quadrant IV

Answers

Answer:

D

Step-by-step explanation:

secΘ > 0 in 1st and 4th quadrants

cscΘ < 0 in 2nd and 4th quadrants

then

secΘ > 0 and cscΘ < 0 in the 4th quadrant

Christopher determines the system of s(x) and t(x) has only one solution.Which system is Christopher solving?

Answers

Christopher is solving a system of equations that has one solution and can be seen in Option C.

What is a system of equations?

A system of equations is more than one equation that can be solved together to get a unique solution. In this situation, the power of the equation must be in one degree.

A quadratic equation is an algebraic equation whose power is raised to the second degree.

However, if their power is not in one degree, they are regarded as a quadratic equation and it usually produces two solutions.

From the given options, we can see that only option c is not a quadratic equation, Hence, it is the right answer.

Learn more about systems of equations here;
https://brainly.com/question/14323743

Use x = 2 to identify the value of each expression.
Exponent Value of expression
25
32
82
16

64

Answers

Answer:

25/2 = 12.5 32/2= 16 82/2= 41 16/2=8 64/2= 32

Step-by-step explanation:

If corect please give branlieist

3x-6y=-12

x-2y=-8

Is it:

Inconsistent

Not enough information

Coincident

Consistent Independent

Answers

Answer:

  (a)  Inconsistent

Step-by-step explanation:

Two linear equations can be compared by putting both of them in standard form. Here, that means removing a common factor from the coefficients of the first equation.

  3x -6y = -12 . . . . given first equation

  x -2y = -4 . . . . . . divide by 3

Compare this to the second equation:

  x -2y = -8

The constants (-4, -8) are different, so there are no values of x and y that can satisfy both equations. The equations are described as inconsistent.

Answer:

Inconsistent

Step-by-step explanation:

Equation 1

3x - 6y = -12Divide throughout by 3 to simpliest formx - 2y = -4

Equation 2

x - 2y = -8

On comparison, it is seen that the slopes are same, but the y-intercepts are different.

This means this has no solution, or the graph is inconsistent.

win a brainliest for free by answering questions

Answers

- 1.25

There are 4 dived gaps in every number, so to find the value of one gap, divide 1 by 4 (0.25)

Answer: 1.2

Step-by-step explanation:

Hello, I need help with sample dpace

Answers

Answer:1/2 problability for both odd and same for evens.1/8 chance of spinning a 3 .25% chance of a 4 or 6.one eight of a chance of spinning a 7 or 1.part 2. a is false because the chance of spinning and odd is 50% and their is 3 numbers less than 4 .4 numbers would be a 50% chance to buts its not.b is true because he has a chance of spinning any number i think.c is true because there are 4 odd numers and 2 and 4 is half of 4

Step-by-step explanation:

What is the measure of ∠E, rounded to the nearest degree?



28°


36°


54°


80°

Answers

Answer:

```30.

<30`

<98

<`36ok this is your answer....

A segment 150 units long is divided into 3 parts in the ratio 2:3:5. How long is the shortest part? ​

Answers

150/10=15
15 x 2=30

Your answer is 30.

Four racers are racing on a track.

Raheem covers 26% of the track, Lila covers 38 of the track, Khalid covers 0. 3 of the track, and Juanita covers 0. 24 of the track.


List the people in order by the distance on the track each person covers from least to greatest

Answers

0.24, 26%, 0.3, 38%. Hope this helped :)

I need help in this problem​

Answers

Answer:

Step-by-step explanation:

4x + 9y = 5

-4x + 7y = 11

Isolate y for 4x + 9y = 5

9y = 5-4x

y = (5-4x) / 9

Now plug it in this equation: -4x + 7y = 11

-4x + 7[(5-4x)/9] = 11

now just solve it.

-4x + (35 - 28x / 9) = 11

multiply both sides by 9

-36x + 35 - 28x = 99

-64x = 64

divide both sides by -64

x = 1

Based on the figure, which of the following statements
CANNOT be proven?

Answers

Answer:

the final one

Step-by-step explanation:

to figure this equation out it is easier to add numbers to the angles

for 1 we can have it as 100 and for 2 we can have it as 80

that means 3 is 100 and 4 is 80

100 - 80 is also 100 - 80 so the first one can be proven

100 + 80 = 180 so the second one can be proven

80 = 80 so the third one can be proven

80 + 80 = 100 + 100 is not correct because it turns into 160 = 200 which is incorrect so the last one cannot be proven

Answer:

4th option : m∠1 + m∠3 = m∠2 + m∠4

Step-by-step explanation:

By VOA theorem, vertically opposite angles are equal.

∠1 = ∠3∠2 = ∠4

⇒ You can write : ∠1 + ∠2 = ∠3 + ∠4

⇒ or ∠4 - ∠1 = ∠3 - ∠2

⇒ The 4th option does not give it correctly

Which of the following are possible side lengths for a triangle

Answers

Answer:

B

Step-by-step explanation:

The two smallest sides of a triangle must be greater than the third, larger one.

A: 6 + 2 > 9

   8 > 9

   False

B: 5 + 7 > 8

   12 > 8

   True

C: 2 + 4 > 6

   6 > 6

   False

2(4y-9)=14 solve for y

Answers

Answer:

y = 4

Step-by-step explanation:

2(4y - 9) = 14

8y - 18 = 14

8y = 32

y = 4

Answer:

y = 4

Step-by-step explanation:

Simplifying

2[4y + -9] = 14

Reorder the terms:

2[-9 + 4y] = 14

[-9 * 2 + 4y * 2] = 14

[-18 + 8y] = 14

Solving

-18 + 8y = 14

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '18' to each side of the equation.

-18 + 18 + 8y = 14 + 18

Combine like terms: -18 + 18 = 0

0 + 8y = 14 + 18

8y = 14 + 18

Combine like terms: 14 + 18 = 32

8y = 32

Divide each side by '8'.

y = 4

If (x - 3) 2 = 5, then

need help asap pleaseeeee

Answers

Answer:

x = 3 ± [tex]\sqrt{5}[/tex]

Step-by-step explanation:

(x - 3)² = 5 ( take square root of both sides )

x - 3 = ± [tex]\sqrt{5}[/tex] ( add 3 to both sides )

x = 3 ± [tex]\sqrt{5}[/tex]

Answer:

×=5.5

Step-by-step explanation:

exact form would be 11/5

and mixed form is 5 1/2

I DONT UNDERSTAND Julio bought a backpack for 39$ and 2 belts for 17$ each the sales tax is 6%. How much did Julio spend for all items including tax??

A-$59.64 C-$77.38

B-$63.00 D-$89.01

Answers

Answer: C

Steps:

39+17+17=73

73x0.06=4.38

4.38+73=77.38

Add the sales tax to price without tax

Answer:

C. $77.38

Step-by-step explanation:

Items + tax = total

Items × .06 = tax

OR

Items × 1.06 = total

39 + 17 + 17 = 73

73 × .06 = 4.38

73 + 4.38 = 77.38

OR

73 × 1.06 = 77.38

Region R is bounded by the curves y = 4x^2 and y = 4. A solid has base R, and cross sections perpendicular to the y-axis are semicircles with the diameter lying in R. The volume of this solid is
A. pi/4
B. pi/2
C. pi
D. 2pi

Answers

Each cross section has a diameter equal the horizontal distance between the two "halves" of the parabola. We have

y = 4x²   ⇒   x = ±√y/2

so the diameter for some given y would be √y/2 - (-√y/2) = √y.

The volume of a cross section with thickness ∆y is then

π/2 (√y/2)² ∆y = π/8 y ∆y

The total volume of the solid would then be

[tex]\displaystyle \int_0^4 \frac\pi8 y \, dy = \frac\pi8 \times \frac12 y^2 \bigg|_{y=0}^{y=4} = \boxed{\pi}[/tex]

The point (-1,4)is translated five units right and three units down.which rule describes the translation

Answers

Answer:

(x, y ) → (x + 5, y - 3 )

Step-by-step explanation:

5 units right means add 5 to the x- coordinate

3 units down means subtract 3 from the y- coordinate

the translation rule is

(x, y ) → (x + 5, y - 3 )

Triangle DEF contains right angle E. If angle D measures 50° and its opposite side measures 7.6 units, what is the measure of side DE? Round your answer to the nearest hundredth. 4.89 units 5.34 units 6.38 units 9.06 units

Answers

Answer:

It is 6.38 units!

Step-by-step explanation:

I took the test and it was correct.

The measure of the side length DE is 6.38 units after applying the tan ratio in the right-angle triangle option (C) 6.38 units is correct.

What is a right-angle triangle?

It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.

We have a right-angle triangle given:

Triangle DEF contains right angle E. If angle D measures 50° and its opposite side measures 7.6 units,

After drawing the triangle:

Applying the tan ratio in the right-angle triangle:

tan50 = EF/DE

tan50 = 7.6/DE

DE = 7.6/tan50

DE = 6.377 ≈ 6.38 units

Thus, the measure of the side length DE is 6.38 units after applying the tan ratio in the right-angle triangle option (C) 6.38 units is correct.

Learn more about the right-angle triangle here:

brainly.com/question/3770177

#SPJ5

4. Prove that the two figures in the graph below are similar.

Answers

Answer: They are both parallelograms

Step-by-step explanation:

There are both parallelograms

can i have help? (picture included)

Which statement about standard error is false?
O A. It is a measure of the variability of a statistic.
O B. It can be calculated using either the population or sample
standard deviation.
O C. It can be calculated as a
n
O D. It is an estimate of the standard deviation of a sampling
distribution.

Answers

Answer:

I'm pretty sure it's C.

Step-by-step explanation:

Help me please this is due in 30 mins!

The perimeter of a square is 68 feet. What is the length of one of its​ sides? Explain your work.

Answers

Answer:

17 feet

Step-by-step explanation:

Since a square has 4 sides, you have to do 68 / 4 to find one of the sides.

68/4 = 17

And to check, if you add up all sides...

17+17+17+17 = 68

nidarians include all of the following EXCEPT:
A. snails
B. jellyfish
C. sea anemone

Answers

B, the answer to this is B

The resting heart rate for a pig is about 100 beats per
minute.
A pig's resting heart rate is about 75 beats per minute
higher than an elephant's resting heart rate.
What is an elephants resting heart rate? Choose the correct equation and
answer.
O A. X+75 = 100
x = 25 beats per minute
O B. X+175 = 100
x= 75 beats per minute
O C. x+100 = 75
x = 175 beats per minute
O D. x+75 = 100
x= 175 beats per minute

Answers

Answer:

a

Step-by-step explanation:

pigs are 75 bpm more than elephants

so elephants are x + 75

and pigs are 100 bpm

so this means your answer is a

Jenni is eating a package of gummy bears. There are 4 red, 2 yellow and 3 green gummy bears left. What is the probability that she'll eat two yellows without looking in the bag. ​

Answers

Answer:

1/45

Step-by-step explanation:

Total = 10

Probaility of getting yellow: 2/10

Probbaility of getting yellow again: 1/9

2/10 * 1/9= 2/90 or 1/45

Please help with algebra


In how many ways could you choose 3 side dishes from a menu that offers 5 vegetable side dishes

and 3 starches if you want at least one vegetable and one starch?

Answers

Using the Fundamental Counting Theorem, it is found that there are 90 ways to choose the three side dishes.

What is the Fundamental Counting Theorem?

It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:

[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]

In this problem:

For the vegetable, there are 5 options, hence [tex]n_1 = 5[/tex].For the starch, there are 3 options, hence [tex]n_2 = 3[/tex].The remaining dish is free, which means that there are 5 + 3 - 2 = 6 options, hence [tex]n_3 = 6[/tex].

Then:

N = 5 x 3 x 6 = 90.

There are 90 ways to choose the three side dishes.

More can be learned about the Fundamental Counting Theorem at https://brainly.com/question/24314866

Estimate the perimeter and the area of the shaded figure.

A shaded composite figure is shown on a grid. The figure is made up of an isosceles triangle and an isosceles trapezoid. The triangle has a base of 6 units and height of 3 units. The trapezoid has a shorter base of 4 units, longer base of 6 units, and height of 3 units. The longer base of the trapezoid is aligned with the base of the triangle.

perimeter: about
units

area: about
square units

Answers

The shapes in the composite figures are a triangle and a trapezoid

The area of the figure is about 24 square units

The area of the figure

The dimensions of the figure are given as:

Triangle

Base = 6 unitsHeight = 3 units

Trapezoid

Shorter base = 4 unitsLonger base = 6 unitsHeight = 3 units

The longer base of the trapezoid and the base of the triangle are aligned.

So, the area is:

Area = Area of triangle + Area of trapezoid

This gives

Area = 0.5 * base * height + 0.5 * (sum of bases) * height

So, we have:

Area = 0.5 * 6 * 3  + 0.5 * (4 + 6) * 3

Evaluate

Area = 24

The figure is needed to determine the perimeter

Hence, the area of the figure is about 24 square units

Read more about composite figures at:

https://brainly.com/question/21135654

Answer:

47.3

Step-by-step explanation:

yes

Sharon buys a bracelet for $12 plus a 6% tax. What is the total cost for Sharon?

Answers

$12.72
Because the 6% of 12 is 72

This graph plots the number of wins last year and this year for a sample of professional football teams.

Based on the line of best fit, which is the BEST prediction for wins this year for a team that won 4 games last year?
A. 2
B. 4
C. 5
D. 7

Answers

Answer:

C.5, Because when you you add the line of best fit on the graph it goes through the 5 point right over 4 wins won last year.

Other Questions
[tex]If \: \: a + \frac{1}{a} = 3 \: prove \: that \: {a}^{2} \frac{1}{ {a}^{2} } = 7[/tex]..................... Which is the graph of f(x) = 100(0.7)^x? Select the correct answer.Simplify the following expression.7-8.77A.114B.49O C. 14D.149 Assume that you are the president of your company and paid a year-end bonus according to the amount of net income earned during the year. When prices are rising, would you choose a FIFO or weighted average cost flow assumption? Explain, using an example to support your answer. Would your choice be the same if prices were falling? Economists define the unemployed as individuals who are. What is the lateral area of the prism? What is the surface area of the prism? You are describing a scaphoid abdomen. To the horizontal plane, a scaphoid contour of the abdomen depicts a ______ profile. What is the function of the load inan electric circuit?A. The load is the source of the energy.B. The protons flow through the load.C. The load is whatever is receiving the energy inthe circuit.D. The load safely opens and closes the circuit. Michael is studying two number patterns. Pattern A starts at 0 and has the rule "add 4. " Pattern B starts at 0 and has the rule "add 2. " What is the relationship between corresponding terms in the two patterns?The terms in Pattern B are one half the corresponding terms in Pattern A. The terms in Pattern B are one fourth the corresponding terms in Pattern A. The terms in Pattern B are 4 times the corresponding terms in Pattern A. The terms in Pattern B are 2 times the corresponding terms in Pattern A TREES A redwood tree can grow to beabout six times as tall as a pine tree.Suppose a common pine tree measuresabout 56 feet tall. Write and solve anequation it to find the approximateheight of a redwood tree. what percent of fresh water is available for human consumption ? How does an indicator differentiate between an acid and base?Changes solubilityChanges reactivityChanges colorChanges size Axxx-coordinate of point AAA(Choice B)Byyy-coordinate of point AAA(Choice C)Cxxx-coordinate of point BBB(Choice D)Dyyy-coordinate of point BBB(Choice E)Exxx-coordinate of point CCC(Choice F)Fyyy-coordinate of point CC Suppose the wavelength in the formula developed by balmer was 410 nm. What is the value of n?. The front of an A-frame house is in the shape of a triangle. The height of the house is 20 feet. The area of the front of the A-frame is 600 square feet. What is the length of the base of this house? write a paragraph on corona virus and it's effect on the world. What IS the International Date Line? Describe tS geographic location. Why doesn't it follow straight line? Why do weneed it? A child standing on the edge of a freely spinning merry-go-round moves quickly to the center. Which one of the following statements is necessarily true concerning this event and why?a. The angular speed of the system increases because the moment of inertia of the system has decreased. b. The angular speed of the system increases because the moment of inertia of the system has increased. c. The angular speed of the system decreases because the moment of inertia of the system has increased. d. The angular speed of the system remains the same because the net torque on the merry-go-round is zero n x m. e. The angular speed of the system decreases because the moment of inertia of the system has decreased The product of two consecutive odd integers is 1155. Determine the integers. (06.03 MC)Sickle cell anemia is known to run in a family. A pedigree chart for this family is shown below.ParentsOffspringWhat percentage of the offspringare carriers of the disease but do not have it?00%O 25%O 50% 100%