(X^2+3)^2 - (x^2-1)^2

Answer:

the coordinates of point B are (-5, 2)

Step-by-step explanation:

1. use midpoint formula to find the midpoint (equation attached below)

2. plug in the numbers

[tex](\frac{-8+(-2)}{2},\frac{3+1}{2})[/tex]

3. solve

[tex](\frac{-8-2)}{2},\frac{3+1}{2})[/tex]

[tex](\frac{-10}{2},\frac{4}{2})[/tex]

[tex](-5,2})[/tex]

Answer:

£840

Step-by-step explanation:

800 × 1.05 = 840

(1.05 Is the decimal multiplier = (100% + 5%)/100)

Answer:

The slope is 1.5

Step-by-step explanation:

To get the slope of the graph, we proceed to select any two points lying on the given line, and applying the slope formula

The two selected points are as follows;

(x1,y1) = (-4,0)

(x2,y2) = (-2,3)

m = (y2-y1)/(x2-x1)

m = (3-0)/(-2-(-4)

m = 3/2 = 1.5

Answer:

D

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan? = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{18}{17}[/tex] , then

? = [tex]tan^{-1}[/tex] ([tex]\frac{18}{17}[/tex] ) ≈ 47° ( to the nearest degree )

Answer:

magnitude is 4.5 lb, and the direction is given by the angle 250°.

Step-by-step explanation:

We can see that the magnitude is 4.5lb (it is already written in the graph, the "distance" between R and T).

To find the angle, remember that the angle is measured counterclockwise from the positive x-axis.

We can see that the angle, measured clockwise, is 110°

And the angle of a complete revolution is 360°

The sum of the angle measured clockwise and the angle measured counterclockwise should be equal to 360°

Then the angle, measured counterclockwise is given by:

360° - 110° = 250°

Then the magnitude is 4.5lb, and the direction is given by the angle 250°.

Answer:

Step-by-step explanation:

This is an even function (because it has an exponent that is an even number), and even functions have the end behavior of both tails going in the same direction. Because this is a positive even function, both of the tails are going up.

Answer:

1 = Input G

2 = Input F

3 = Input H

Step-by-step explanation:

Answer:

a) 122°

b) 37°

Step-by-step explanation:

a) supplement angle of 58° = 180° - 58° =122°

b) complement angle of 53° = 90° - 53° = 37°

Answer:

I think A is correct

Step-by-step explanation:

I can't see D so I'm not sure, hope it's right

Answer:

The answer is 49 .

Step-by-step explanation:

Do i need to explain ?

Answer:

A

C

D

Step-by-step explanation:

Select three ratios that are equivalent to 4:3.

Choose 3 answers:

(Choice A)

8:6

(Choice B)

9:12

(Choice C)

20:15

(Choice D)

32:24

(Choice E)

36:28

Ratio expresses the relationship between two or more numbers. It shows the frequency of the number of times that one value is contained within other value(s).

To determine which fractions are equivalent to 4:3 express the options in their lowest terms

option 1 - 8 : 6

To transform to the simplest form. divide the numbers by 2

4 : 3 this is equivalent

option 2 : 9 : 12

To transform to the simplest form. divide the numbers by 3

= 3 : 4 this is not equivalent

option 3 : 20:15

To transform to the simplest form. divide the numbers by 5

4 : 3 this is equivalent

option 4 : 32:24

To transform to the simplest form. divide the numbers by 8

4 : 3 this is equivalent

option 5 : 36:28

To transform to the simplest form. divide the numbers by 4

9 : 7 this is not equivalent

Answer:

-228

Step-by-step explanation:

Hi there!

[tex]\large\boxed{h = 10km}[/tex]

We know that the equation for the volume of a pyramid is:

V = 1/3(bh)

We know that:

V = 200 km³

b = 12 × 5 = 60 km²

We can plug these into the equation:

200 = 1/3(60)(h)

Simplify:

200 = 20h

Divide both sides by 20:

200/20 = 20h/20

h = 10 km

Answer:

Jayden buys 4 pounds of coffee

Step-by-step explanation:

Let's say that p represents the number of pounds of coffee Jayden bought. She starts with $90, and for each pound she buys, she loses $7.26 dollars. Therefore, as she loses 7.26 dollars, we must subtract the amount she pays from $90. Then, as she loses 7.26 dollars for each pound, we multiply 7.26 by the number of pounds to find the money she spends.

We can thus write our equation as

90 - 7.26*p = final amount = 60.96

90-7.26p = 60.96

subtract 90 from both sides to isolate the p and its coefficient

-7.26p = -29.04

divide both sides by -7.26 to isolate the p

p = 4

Jayden buys 4 pounds of coffee

Answer:

2,-12

Step-by-step explanation:

The given equation is ,

[tex]\implies |x + 5 | = -7 [/tex]

We know that modulus only gives positive value , Therefore on squaring both sides we have ,

[tex]\implies (x + 5 )^2=( -7)^2 \\\\\implies (x+5)^2=7^2\\\\\implies x + 5 =\pm 7 \\\\\implies x = 7-5,-7-5 \\\\\implies \boxed{ x = 2, -12} [/tex]

Answer:

Moving 4 to the right on the x axis

Hey there!

[tex]\mathsf{x^2 - 11 = 25}[/tex]

[tex]\large\textsf{ADD 11 to BOTH SIDES}[/tex]

[tex]\mathsf{x^2 - 11 + 11 = 25 + 11}[/tex]

[tex]\large\textsf{CANCEL out: -11 + 11 because that gives you 0}[/tex]

[tex]\large\textsf{KEEP: 25 + 11 because that helps solve for the x-value}[/tex]

[tex]\mathsf{25 + 11 = \bf 36}[/tex]

[tex]\large\textsf{NEW EQUATION: }\mathsf{x^2=36}[/tex]

[tex]\large\textsf{Take the square root of the number (36)}[/tex]

[tex]\mathsf{x = \pm \sqrt{36}}[/tex]

[tex]\mathsf{\pm = \boxed{\bf plus-or-minus}}[/tex]

[tex]\mathsf{x = \sqrt{-36}\rightarrow \bf -6}[/tex]

[tex]\large\textsf{or}[/tex]

[tex]\mathsf{x = \sqrt{36} = \bf 6}[/tex]

[tex]\boxed{\boxed{\huge\textsf{Answer: \bf x = 6 or x = -6}}}\huge\checkmark[/tex]

[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

x² - 11 = 25

Add 11 to both sides.

x² - 11 + 11 = 25 + 11

Cancle out the 11 because when we add -11 to 11 that gives 0. On other side add 25 and 11 we get 36.

x² = 36

Take the square root of both sides of the equation and remember to use both positive and negative roots.

√x² = ± √36

x = ± 6

Write the solutions, one with a+ sign and one with a- sign.

[tex] x_1 = 6[/tex]

[tex]x_2 = -6[/tex]

This equation has two solutions which are :-

[tex] x_1 = 6[/tex]and [tex]x_2 = -6[/tex]

Answer:

angles Q and Q' are congruent, angles R and R' are congruent

Step-by-step explanation:

For two triangles to be congruent, we need to show is two of the  

1. corresponding angles are congruent,

or,

2. all three pairs of corresponding sides are proportional,  

or,

3. two pairs of corresponding sides are proportional AND the included angles are congruent.  

And, angles are always congruent when a figure is dilated

(satisfies the first criterion that at least two corresponding angles are congruent)

Answer:

729/15625

Step-by-step explanation:

1. Evaluate the power

( (27/125) ÷ 1 )^2

2. divide

( 27/125 )^2

evaluate the power

( 27^2 / 125^2 )

729/15625

Answer: they are abt the same its all abt percentage now- Pitcher A

Step-by-step explanation: more water lessens the strength

(n! + (n + 1)!) / n! = n!/n! + (n + 1)!/n! = 1 + (n + 1) = n + 2

because (n + 1)! = (n + 1)n!.

Answer:

D

Step-by-step explanation:

Look for the intersection point of the two graphs

Another way:

You can just substitute each pair in both equations and u will find that d is the correct answer

Answer:

$40000

Step-by-step explanation:

The nearest thousand dollar is rounding the thousand value from its hundred value, which in this case is 4. Since 4 is less than half of 10, the thousand value must round down to $40000.

Answer:

$40000.00

Step-by-step explanation:

Report this answer if its incorrect ^_^

Answer:

(-3, 5)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define Systems

y = x + 8

x + y = 2

Step 2: Solve for x

Substitution

Step 3: Solve for y

Answer:

x = - 3

y = 5

Step-by-step explanation:

y = x + 8 ------(I)

x + y  = 2 -------------(II)

Substitute y = x + 8 in equation (II)

x + x + 8 = 2

Combine like terms

2x + 8 = 2

Subtract r from both sides

2x = 2- 8

2x = -6

Divide both sides by 2

x = -6/2

x = -3

Plug in x = -3 in equation (I)

y = -3 + 8

y = 5

Answer:

saaad

Step-by-step explanation:

Answer:

Domain = {-5,2,4,6,8,9), range = (-3,-1,0,4,6,7}

Step-by-step explanation:

{(2,4), (8,-3), (-5,-1), (4,6), (6,7), (9,0)}

The domain is the input and the range is the output

domain is { 2,8,-5,4,6,9} and the range is {4,-3,-1,6,7,0}

We put the numbers in order from smallest to largest

Domain = {-5,2,4,6,8,9), range = (-3,-1,0,4,6,7}