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1.Example, x²-25 can be factored as (x+5)(x-5).

2.This method is based on the pattern (a+b)(a-b)=a²-b², which can be verified by expanding the parentheses in (a+b)(a-b).

3.When an expression can be viewed as the difference of two perfect squares, i.e. a²-b², then we can factor it as (a+b)(a-b). For example, x²-25 can be factored as (x+5)(x-5).

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Answer:

C

Step-by-step explanation:

1,2 are both supplementary

Answer:

Third option:

Ax + By < 0

Step-by-step explanation:

The general form of an inequality is:

(something)  (symbol)  (another thing).

Where the symbols can be:

> = "larger than"

< = "smaller than"

≤ = "smaller than or equal to"

≥ = "larger than or equal to"

So, a given inequality can be:

K > M

This means that K is larger than M.

From the given options, the only one that has this general form is the third option:

Ax + By < 0

This can be read as:

"A times x, plus B times y, is smaller than zero"

Answer:

i) Point B is located at 0.

ii) The two points that are opposite are 5 / 5 and 10 / -5 and 5 / 5, 10 and -5, -10.

iii) Point D is located at 35.

iv) -20 is one tick mark to the left of point A.

Answer:

0.84 kg

Step-by-step explanation:

Given that :

Weight per liter = 1.12kg per liter

That is 1 Litre weighs 1.12 kilogram

The weight of saline solution of 0.75 Litre will be :

1 Litre = 1.12 kg

0.75 Litre = x

Cross multiply :

1 * x = 1.12 * 0.75

x = 0.84 kg

Hence, 0.75 Litre weighs 0.84 kg

Answer:

P=-2.3662299854

Step-by-step explanation:

6.87p = - 7.056 -9.2

So 6.87p= - 16.256

P=-2.3662299854

Answer:

x = 4

Step-by-step explanation:

steps are in the pic above.

Answer:

both choices with 2x+y = -3

Step-by-step explanation:

to have the solution (-4, 5), that point must be on both equations/functions, meaning it must be on either one.

in other words, if the point is not on at least one of the functions, it cannot be a solution for that system.

the given function

2x + y = -3

looks like for the point (-4, 5)

2×-4 + 5 = -3

-8 + 5 = -3

-3 = -3

correct.

but

-2x + y = -3

looks like for (-4, 5)

-2×-4 + 5 = -3

8 + 5 = -3

13 = -3

wrong. the point is not on this function.

as we can therefore rule out 2 of the answer options, the other 2 most be correct.

The two equations which when written as a system has a solution of (-4, 5) is; 2x + y = -3 and 2x + y = -3

The correct equations must have same output with the given one when we place -4 and 5 for x and y respectively.

Now, for 2x + y = -3

At x = -4, and y = 5 we have;

2(-4) + 5 = -3

Same with the right hand side.

For -2x + y = -3;

At x = -4, and y = 5 we have;

-2(-4) + 5 = 13

Not the same with the right hand side.

Thus, the two equations with 2x + y = -3 are correct

Read more about Inequalities at; https://brainly.com/question/24372553

Answer:

t = 14 seconds

Step-by-step explanation:

Given that,

A package is accidentally dropped from a helicopter from a height of 3,136ft.

The equation for height as a function of time is :

[tex]h(t) = -16t^2 + \text{initial height}[/tex]

So,

[tex]h(t) = -16t^2 +3,136[/tex]

When it hits the ground, h(t) = 0

So,

[tex]-16t^2 +3,136=0\\\\-16t^2=-3136\\\\t^2=\dfrac{3136}{16}\\\\t^2=196\\\\t=14\ s[/tex]

So, it will take 14 seconds for the package to hit the ground.

Answer: a^2 + b^2 = c^2

c^2 - a^2 = b^2 \/---

b^2

Step-by-step explanation: once completed you have ur answer

Answer:

[tex]\boxed {\boxed {\sf 18 \ yards}}[/tex]

Step-by-step explanation:

This triangle is a right triangle. We know this because of the small square in the corner representing a 90 degree angle. Therefore, we can use the Pythagorean Theorem.

[tex]a^2+b^2=c^2[/tex]

In this formula a and b are the legs of the triangle and c is the hypotenuse.

In this triangle, the legs are 24 and a, because these sides form the right angle. 30 is the hypotenuse because it is opposite the right angle.

Substitute the values into the formula.

[tex]a^2+(24)^2=(30)^2[/tex]

Solve the exponents.

[tex]a^2+ 576=900[/tex]

We are solving for a, the missing side of the triangle. We must isolate the variable. 576 is being added. The inverse of addition is subtraction, Subtract 576 from both sides of the equation.

[tex]a^2+576-576=900-576\\a^2=900-576\\a^2=324[/tex]

a is being squared. The inverse of a square is a square root. Take the square root of both sides.

[tex]\sqrt{a^2}=\sqrt{324}\\a=\sqrt{324}\\a=18[/tex]

The missing side of the triangle is 18 yards.

Answer:

Step-by-step explanation:

-x/8=12+11=23

-x=23*8=184

x=-184

x=-184Answer:

Step-by-step explanation:

Answer:

Any value of x makes the equation true. All real numbers Interval Notation: ( − ∞ , ∞ )

Hope This Helps!!!

Answer:

option c

Step-by-step explanation:

Quadratic function f(x) = ax² + bx  +c

Here the the co-efficient of x,  that is a tells if the graph is wider or narrower.

1) a < 1  that is if a is decimal less than 1, then the graph is wider.

2) a > 1, then the graph is narrow.

Answer:

Estimating the economic impact of climate change from weather variation

Step-by-step explanation:

Estimating the economic impact of climate change from weather variation:If economists are going to be able to offer clear guidance about the appropriate ambition of climate change policy, we need firmer damage estimates.This column introduces a new model that prices farmers’ ex-post and ex-ante adaptations to weather changes and forecasts. #accelerationism

Answer:

A

Step-by-step explanation:

6/3 = 2

Answer:

$2 each

Step-by-step explanation:

3 pounds of apples for $6

$6÷3 lbs= $2 each pound

Answer:

78.5÷3.14=25

56.272×41.2=2318.4064

429×338×712=103241424

447÷513=0.8713450292

Step-by-step explanation:

hope it will help!

Answer;

x² = 42 - 2

3

Step-by-step explanation:

#carryonlearning

Answer:

Step-by-step explanation:

y² - 3x² = 6

Subtract y² from both sides

-3x² = 6 - y²

Divide by -3

[tex]\frac{-3x^{2}}{-3}=\frac{6-y^{2}}{-3}\\\\x^{2}=\frac{y^{2}-6}{3}[/tex]

Answer:

Opposite sides of a parallelogram are parallel (by definition) and so will never intersect. The area of a parallelogram is twice the area of a triangle created by one of its diagonals. The area of a parallelogram is also equal to the magnitude of the vector cross product of two adjacent sides.

Step-by-step explanation:

Answer:

C; 4

Step-by-step explanation:

Mathematically, when two lines are perpendicular, the product of their slopes equal -1

in that case, we have it that;

m1 * m2 = -1

where m1 is the slope of the first line and m2 is the slope of the second line

Hence,

m2* -1/4 = -1

-m2/4 = -1

-m2 = -4

m2 = 4

Answer:

I guess this is the answer

Answer:

1 2 and 4 not capping like everyone else

Step-by-step explanation:

the quiz sequence

Answer:

t > 28

Step-by-step explanation:

Answer:

See Below.

Step-by-step explanation:

Problem 1)

We want to simplify:

[tex]\displaystyle \frac{a+2}{a^2+a-2}+\frac{3}{a^2-1}[/tex]

First, let's factor the denominators of each term. For the second term, we can use the difference of two squares. Hence:

[tex]\displaystyle =\frac{a+2}{(a+2)(a-1)}+\frac{3}{(a+1)(a-1)}[/tex]

Now, create a common denominator. To do this, we can multiply the first term by (a + 1) and the second term by (a + 2). Hence:

[tex]\displaystyle =\frac{(a+2)(a+1)}{(a+2)(a-1)(a+1)}+\frac{3(a+2)}{(a+2)(a-1)(a+1)}[/tex]

Add the fractions:

[tex]\displaystyle =\frac{(a+2)(a+1)+3(a+2)}{(a+2)(a-1)(a+1)}[/tex]

Factor:

[tex]\displaystyle =\frac{(a+2)((a+1)+3)}{(a+2)(a-1)(a+1)}[/tex]

Simplify:

[tex]\displaystyle =\frac{a+4}{(a-1)(a+1)}[/tex]

We can expand. Therefore:

[tex]\displaystyle =\frac{a+4}{a^2-1}[/tex]

Problem 2)

We want to simplify:

[tex]\displaystyle \frac{1}{(a-b)(b-c)}+\frac{1}{(c-b)(a-c)}[/tex]

Again, let's create a common denominator. First, let's factor out a negative from the second term:

[tex]\displaystyle \begin{aligned} \displaystyle &= \frac{1}{(a-b)(b-c)}+\frac{1}{(-(b-c))(a-c)}\\\\&=\displaystyle \frac{1}{(a-b)(b-c)}-\frac{1}{(b-c)(a-c)}\\\end{aligned}[/tex]

Now to create a common denominator, we can multiply the first term by (a - c) and the second term by (a - b). Hence:

[tex]\displaystyle =\frac{(a-c)}{(a-b)(b-c)(a-c)}-\frac{(a-b)}{(a-b)(b-c)(a-c)}[/tex]

Subtract the fractions:

[tex]\displaystyle =\frac{(a-c)-(a-b)}{(a-b)(b-c)(a-c)}[/tex]

Distribute and simplify:

[tex]\displaystyle =\frac{a-c-a+b}{(a-b)(b-c)(a-c)}=\frac{b-c}{(a-b)(b-c)(a-c)}[/tex]

Cancel. Hence:

[tex]\displaystyle =\frac{1}{(a-b)(a-c)}[/tex]

Please find attached photograph for your answer.

Hope it helps

Do comment if you have any query

Answer:

3/4=176

Step-by-step explanation:

Answer:

3/4 = b/176

Step-by-step explanation:

pls give me brainliest

Answer: y = 25 - 2x

Step-by-step explanation:

y = mx + b

y = -2x + 25

Answer:

12/37

Step-by-step explanation:

We know ,

=> sin B = p/h

=> sin B = 12/ 37

Answer:

Step-by-step explanation:

[tex]Sin \ B = \frac{opposite \ side }{hypotenuse}\\\\Sin \ B = \frac{35}{37}\\\\[/tex]

Step-by-step explanation:

First find h(10)

h(10)=2(10)-8

h(10)=12

Now plug in 12 as the value of x in g(x) ie.g(12)

So g(12)=√12-4=√8=2√2

Answer:

2a+15 = 125(being alternate angle)

or,2a = 125-15

or,2a = 110

or,a = 110÷2

,a = 55

again,2a+15+b+30=180(Being co-interior angle)

or,2×55+15+b+30=180

or,110+15+30+b=180

or,155+b=180

or,b=180-155

Therfore,b=25

Answer:

h = 3, k = 64

Step-by-step explanation:

Given

[tex]log_{2}[/tex] y = - [tex]\frac{1}{2}[/tex] [tex]log_{2}[/tex] x + 3

In the form

y = mx + c ( m is the slope and c the y- intercept )

Then

h = 3

On the [tex]log_{2}[/tex] axis [tex]log_{2}[/tex] y = 0 then

0 = - [tex]\frac{1}{2}[/tex] [tex]log_{2}[/tex] k + 3 ( subtract 3 from both sides )

- 3 = - [tex]\frac{1}{2}[/tex] [tex]log_{2}[/tex] k ( divide both sides by - [tex]\frac{1}{2}[/tex] )

6 = [tex]log_{2}[/tex] k , then

k = [tex]2^{6}[/tex] = 64