The variables a and b represent the legs of a right triangle. The variable c represents the hypotenuse. Use the Pythagorean theorem to find the missing side. Write exact answers using radicals when necessary. A = 3, c = 5, find b.

Answer and Step-by-step explanation:

[tex]x^{2} - xy + x^{2} -xy\\\\2x^{2} -2xy[/tex]

This is the answer.

In case your expression is:

[tex]x^2\:-\:xy\:+\:x^2\:-\:xy[/tex]

Solution:

Given the expression

[tex]x^2\:-\:xy\:+\:x^2\:-\:xy[/tex]

Group like terms

[tex]x^2\:-\:xy\:+\:x^2\:-\:xy=x^2+x^2-xy-xy[/tex]

Add similar elements: x²+x² = 2x²

                                  [tex]=2x^2-xy-xy[/tex]

Add similar elements: -xy-xy = -2xy

                                    [tex]=2x^2-2xy[/tex]

Thus,

[tex]x^2-xy+x^2-xy=2x^2-2xy[/tex]

In case your expression is:

[tex]\left(xx\right)^2\:-\:xy\:+\:x^2\:-\:xy[/tex]

Solution:

Given the expression

[tex]\left(xx\right)^2\:-\:xy\:+\:x^2\:-\:xy[/tex]

Group like terms

[tex]\left(xx\right)^2\:-\:xy\:+\:x^2\:-\:xy=x^2-xy-xy+\left(xx\right)^2[/tex]

Add similar elements: -xy-xy = -2xy

                                       [tex]=x^2-2xy+\left(xx\right)^2[/tex]

as (xx)² = x⁴

so                                      [tex]=x^2-2xy+x^4[/tex]

Therefore, we conclude that:

Answer

slight

Step-by-step explanation:

But Never zero

Answer:

It is 4x + 12

Answer:

[tex]m=\frac{13}{2}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Point (-5, 8)

Point (-7, -5)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Answer:

we will use the equation

(y2-y1)/ (x2-x1)

lets plug in our values

(-5-8)/(-7-(-5)

-13/-2

this answer is your slope value hope this helps

Step-by-step explanation:

Answer:

the bottom table (1,-5)

Step-by-step explanation:

the equation is y=5x-10

the equation has no multiple powers involved like cubed or squared

no, -6+2= -4

not -6 +(-2)

Answer:

An equation for the nth term of the arithmetic sequence.

[tex]a_n=3n-1[/tex]

Step-by-step explanation:

Given the sequence

2,5,8,11,...

An arithmetic sequence has a constant difference 'd' and is defined by  

[tex]a_n=a_1+\left(n-1\right)d[/tex]

here

computing the differences of all the adjacent terms

Using the nth term formula

[tex]a_n=a_1+\left(n-1\right)d[/tex]

substituting a₁ = 2, d = 3

[tex]a_n=2+\left(n-1\right)3[/tex]

     [tex]=2+3n-3[/tex]

     [tex]=3n-1[/tex]

Thus, an equation for the nth term of the arithmetic sequence.

[tex]a_n=3n-1[/tex]

Answer:

Line C

Step-by-step explanation:

slope

Answer:line c

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Answer:

It might help u , plz Brain-list it

Step-by-step explanation:

The option is not given but still its clear from the graph

That its slope intercept form will be ,

X=0  (the point where it intersect x axis) and Y=0  (the point where it intersect y axis)  

Answer:

y = 8x

Step-by-step explanation:

Hope this helps

(From k12)

Answer:

B

Step-by-step explanation:

The total change in position is represented by a number with a magnitude of 155 feet.

Hope this helps!

xoxo,

cafeology

Answer:

decrease

12%

Step-by-step explanation:

the number went down

3.499*0.88=3.097

so 12% decrease in price

Answer:

2*16n = 21 -7n

Step-by-step explanation:

hope this helps :)

Answer:

x  y

-4  -18

-2  -10

0  -2

2   6

4   14

Step-by-step explanation:

Answer:

B. Baseball cap

Step-by-step explanation:

Given that:

Total money available with Annabeth = $29.00

Amount at which T-shirt was bought = $15.32

Things that Annabeth wants to buy:

Soccer ball for the price of $12.87 or

Baseball cap for the price of $8.39 or

Set of shin guards for the price of $14.98 or

Water bottle for the price of $5.93

The equation that can be used to find the cost of most expensive item with the remaining amount of money:

$15.32 + [tex]c[/tex] = $29.00

[tex]\Rightarrow c = 29 - 15.32\\\Rightarrow c= \$13.68[/tex]

Cost of items that can be bought in the decreasing order is:

Cost of pair of shin guards ( $14.98 ) > Cost of soccer ball ( $12.87 ) > Cost of baseball cap ($8.39) > Cost of water bottle ( $5.93 )

The most expensive item that can be bought is the Soccer ball at $12.87.

Answer is:

B. Soccer ball

Cost of shin guards is more than the amount of money remaining.

Answer:

C) 119.7°

Step-by-step explanation:

got it right on edge :)

Answer:

6.93 lbs.

Step-by-step explanation:

The weight on the moon is approximately 16.5% of what you would weigh on Earth. Using this information, we can say that 16.5% of 42 lbs would equal how much the object would weigh on the moon.

I prefer to convert percentages the decimal way, so let's do it that way. 16.5% is 0.165 as a decimal, so now all we have to do is multiply 0.165 by 42 (since we are saying 16.5% of 42 lbs), and we get 6.93 lbs.

Hope this helps! :)

Answer:

(-1,3)

Step-by-step explanation:

Given that the quadrilateral ABCD is translated to get quadrilateral A'B'C'D'. The vertex A is at (-5,2) is translated to vertex A' is at (2,-2).

The translation is x-direction, a, is the difference of x-coordinates of both the points, a=2-(-5)=2+5=7.

The translation is y-direction, b, is the difference of y-coordinates of both the points, b = -2-2 = -4.

As all the points are translated by the same magnitude as well as in the same direction, so by adding a to x and b to y coordinate of any points, the translated point can be determined.

The vertex of point B is (-6,5), so, the vertex of the point B' would be (-6+a, 5+b)=(-6+7, 5+(-4))=(-1,3).

Hence, the vertex of point B' is (-1,3).

Answer:

y=3x-7

Step-by-step explanation:

y=mx+b where m=slope and b=y-intercept

y=3x-7

Answer:

30° ; 80°

Step-by-step explanation:

Given that :

One angle of a certain triangle = 70°

The other two angles are in the ratio 3 : 8

Recall :

Sum of angles in a triangle = 180°

Number of angles in a triangle = 3

Hence,

Sum of the other two angles + 70 = 180

Hence, sum of the other two angles = (180 - 70)°

Sum of other two angles = 110°

The angle is in the ratio 3:8

Hence,

(3 / (3 +8)) * 110

= 3/11 * 110

= 330 / 11

= 30°

(8 / (3 +8)) * 110

= 8/11 * 110

= 880 / 11

= 80°

Hence ; 30° ; 80°

Answer:the number is 8

Step-by-step explanation:

Step 1

Let x be the number  13 was subtracted from so  that the difference becomes x-13

i.  dividing  the resulting difference by 5, then  (x-13)/5

ii.  Multiplying  the quotient by 7 makes  the expression become (x-13)/5 x 7

 with the product coming  to -7  we have our final equation as

(x-13)/5 x 7 = -7

Step 2 -----solving  the equation

(x-13)/5 x 7 = -7

Ist  divide  both sides by 7,

(x-13)/5 =-1

cross multiplying gives

x-13=-5

x= -5+ 13

x=8

the number is 8

Answer:

209.95

Step-by-step explanation:

Answer:

larry is 19

Step-by-step explanation:

ok, so larry's age is y, his sisters age is x

x + 8 = y

thats the equation for him being 8 years older

now 2y = 3x + 5

his sisters age is 3x + 5 to get larry's age when its doubled

substitute x + 8 in for y

2 (x+8) = 3x + 5

2x + 16 = 3x + 5

16 = x + 5

x = 11

11 + 8 = y

y = 19

Answer: I need to find the additive inverse of the number being su tracked. That number is -9.6. The additive inverse of -9.6 is 9.6.

Step-by-step explanation:

Answer:

Additive inverse can be defined as adding a number with the opposite or the negative of that number to equal zero. The additive inverse of 1 is (-1), the additive inverse of 2 is (-2) and so on.

Example: 5 + (-5) = 0

In this example, (-5) is the additive inverse.

You can then take additive inverse one step when finding the additive inverse when subtracting rational numbers.

Example: 7 - 4 = 7 + (-4)

3 = 3

When finding the inverse, it is important to keep in mind that what you do to one side, you must do the opposite to another. In the example above, because you subtracted a positive four on one side, you are going to add a negative four to the other. This will make the equation equal on both sides.

Step-by-step explanation:

Answer:

The altitude is changing at a speed of 200 √3 km/hr

Step-by-step explanation:

Here, we want to know how far the altitude of the plane is changing

we are told that the airplane makes an angle of 60 degrees with the ground

So therefore , the rate of change of its altitude will be ;

sin 60 = x/ 400

x = 400 sin 60

x = 400 * √3/2

x = 200 √3 km/hr

The altitude is increasing at a rate of 346.61 km/hr.

The diagram below denotes the given scenario.

Then from the diagram we have,

[tex]sin60^{\circ}=\frac{y}{z}\\\frac{\sqrt{3}}{2} =\frac{y}{z}\\ y=\sqrt{3}\\z=2[/tex]

Then,

[tex]sin\theta =\frac{y}{z}\\cos\theta \frac{d\theta}{dt}\\=\frac{z\frac{dy}{dt}-y\frac{dz}{dt}}{z^2} \\\frac{dy}{dt}=\frac{z^2cos\theta\frac{d\theta}{dt+y\frac{dz}{dt}}}{z}\\\frac{dy}{dt} =\frac{2^2(cos60^{\circ})+\sqrt{3}(400)}{2}\\ \frac{dy}{dt}=346.41 km/hr[/tex]

Learn More:https://brainly.com/question/16086052

Answer:

A) The 4 and (-4) are 0s.

B) 0 points after the second round

C) 4+(-4) is 0

The 4 and the (-4) are the zero pairs in the model

Andrew has 4 + (-4) = 0 points after the second round.

4 + (-4) = 0

lol that's cool because i didn't know either