The Pythagorean theorem describes the relationship between the lengths of legs a and b and the hypotenuse c of any right triangle. a2 + b2 = c2 Complete the equation below by writing an expression equivalent to the length of a, the leg of a right triangle.

Answer: x=4,  y=-1

Step-by-step explanation:

Multiply the second equation by 3:

18x+9y=63

Then summarize  both equations 18x+9y+3x-9y=21+63

21x=84 => x=4

use x=4 in any of initial equations ,for instance in first one:

3*4-9*y=21

12-9*y=21

9y=12-21

9y=-9

y=-1

Answer:

Step-by-step explanation:

y = one-half sine (one-half x)

based on the equation, period=2pi/b, you can just plug in the values for the equation on each option, b being the constant in front of x.

plz mark as brainliest

Answer:

Step-by-step explanation:

2x=5x+60.

0=3x+60 ( subtract 2x from both sides)

-60=3x(subtract 60 on both sides)

x=-20

Hope this helps plz mark brainliest if correct :D

Answer:

yeah its correct i just took the test.

Step-by-step explanation:

Answer: the slope is infinity

Answer:

und

Step-by-step explanation:

Answer:

D. 25% decrease

Step-by-step explanation:

When we have multiple choice questions, generally the best first step is to narrow down your options. We can see that our options are either increase or decrease. Obviously, if the class read 40 books in June and then 30 in July, that's a decrease. So option C is out of the question.

We still have three options left, so we have to now figure out the exact percentage decrease. Let's find out what percentage of 40 is 30.

[tex]\frac{30}{40}=0.75[/tex]

(Remember that percentages are parts of 1. 100%=1, 50%=.5)

So 30 is 75% of 40. And what percentage did we go down from 100%? 25%.

There was a 25% decrease in the number of books read.

I hope this helps!

Answer:

Domain: 1,-2,-1, 1

Range: -2,0,2,3

Answer:

$500

Step-by-step explanation:

There are 52 weeks in a year, so divide!

26,000/52=500

Answer:

500

Step-by-step explanation:

26,000 divided by 52

because there are 53 weeks in a year

9514 1404 393

Answer:

  see below

Step-by-step explanation:

The function has degree 3, so has 2 (or fewer) turning points. It has a positive leading coefficient, so will have a generally upward trend (/). The only graph matching those characteristics is the left-most graph shown.

Answer:

The answer is A

Step-by-step explanation:

Answer:

Step 1: Make sure the polynomial is written in descending order. If any terms are missing, use a zero to fill in the missing term

Answer:

its a black screen

Step-by-step explanation:

Answer: B.

Step-by-step explanation:

Answer:

lol if a = 90 then b = 75 so C is 105

then you get the derivative number which is X by adding a2 b2 then dividing by the c2. so its true

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let  l  = length,  w = width,  A = area =  l×w , and  P  = perimeter =  2(l+w)

Let 'x' be the width

As the length 'l' of a rectangle is 5 inches more than its width.

so the length will be = x+5

As the Area of the rectangle is equal to  2 inches more than 4 times the perimeter.

A = 4P + 2

so the equation becomes

l × w = 4×2(l+w)+2

substituting w=x, l = x+5,

(x+5)x = 8(x+5+x)+2

x²+5x = 8(5+2x)+2

x²+5x = 40+16x+2

x²+5x = 16x+42

x²+5x-16x-42 =0

x²-11x-42=0

[tex]x^2-11x=42[/tex]

[tex]\mathrm{Add\:}a^2=\left(-\frac{11}{2}\right)^2\mathrm{\:to\:both\:sides}[/tex]

[tex]x^2-11x+\left(-\frac{11}{2}\right)^2=42+\left(-\frac{11}{2}\right)^2[/tex]

[tex]x^2-11x+\left(-\frac{11}{2}\right)^2=\frac{289}{4}[/tex]

[tex]\left(x-\frac{11}{2}\right)^2=\frac{289}{4}[/tex]

[tex]\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}[/tex]

solving

[tex]x-\frac{11}{2}=\sqrt{\frac{289}{4}}[/tex]

[tex]x-\frac{11}{2}=\frac{\sqrt{289}}{\sqrt{4}}[/tex]

[tex]x-\frac{11}{2}=\frac{\sqrt{289}}{2}[/tex]

[tex]x-\frac{11}{2}=\frac{17}{2}[/tex]

[tex]x-\frac{11}{2}+\frac{11}{2}=\frac{17}{2}+\frac{11}{2}[/tex]

[tex]x=14[/tex]

similarly solving

[tex]x-\frac{11}{2}=-\sqrt{\frac{289}{4}}[/tex]

[tex]x-\frac{11}{2}=-\frac{17}{2}[/tex]

[tex]x-\frac{11}{2}+\frac{11}{2}=-\frac{17}{2}+\frac{11}{2}[/tex]

[tex]x=-3[/tex]

so

x = 14, or x = -3

As the width 'x' can not be negative.

so x = 14

Thus,

Answer:

One of the negatives must go

Step-by-step explanation:

Answer:

minus cancel minus making it 7

Answer:

I got x = 1

Step-by-step explanation:

First to isolate the variable you add 3 to both sides which will give you 1/2x is less than or equal to 2. Then divide both sides by 1/2 and you will get x = 1. To check the answer I just did:    

[tex]1/2(1) -3 \leq -1\\1/2 -3\leq -1\\-2.5\leq -1[/tex]

And since -2.5 is less than -1 this statement is true. x does in fact equal 1

Answer:

The slope is 3/1

The Y intercept is -2

The equation is y=3/1-2

Step-by-step explanation:

Desmos

Answer/Step-by-step explanation:

First find the equation of the line. The graph is a proportional graph. Hence, the equation would be in the form is y = kx.

Where k I stye constant of proportionality (y/x).

Using a point on the line, (4, 5),

k = y/x = ⁵/4

Substitute ⁵/4 into y = kx.

Thus, the equation of the graph would be:

y = ⁵/4x

Plug in the value of the x and y coordinates of a point into the equation to determine if the point is on line l. If it makes the equation true, then it is a point on the line.

Thus:

✍️For the point, (20, 24), substitute x = 20, y = 24 in y = ⁵/4x

24 = ⁵/4(20)

24 = 5(5)

24 = 25 (NOT TRUE)

✅Therefore, the point, (20, 24) is not a point on line l.

✍️For the point, (80, 100), substitute x = 80, y = 100 in y = ⁵/4x

100 = ⁵/4(80)

100 = 5(20)

100 = 100 (TRUE)

✅Therefore, the point, (80, 100) IS A POINT on line l.

Answer:

26.8

Step-by-step explanation:

on what scale? to the nearest what? Elaborations, PLEASE

Anyways it's just:

4901 (4900*) + 75 (80*) = 4980

*i'm guessing

BUT if they want you to round after addition:

the answer would be 5000

Answer:

13,227

Step-by-step explanation:

multiply the initial principal by one plus the annual interest rate raised to the number of compound periods minus one.

Answer:

true.

Step-by-step explanation:

the radius is half the length of the diameter.

Answer: 12 millimeters

Step-by-step explanation:

Answer: 12 millimeters.

Step-by-step explanation:

Answer:

F

Step-by-step explanation:

F

Answer:

M ≤20

Step-by-step explanation:

Answer:

Graph A represents y=(3/4)x-3

which has the slope= 3/4 and the y-intercept= -3

Answer:

second one

Step-by-step explanation:

Answer:

It is the first one

Step-by-step explanation:

1+1=2  2+1=3 4+3=7  so it would be the top one 2 the number on the side is 3 and the bottom is 7

Answer:

the real question is what the total amount of value is.

Answer: the answer is 187,535.72

Step-by-step explanation:

Answer:

Step-by-step explanation:

40a²b =  2* 2 * 2 * 5 * a² * b      =  2³ * 5 * a² * b

48ab⁴ = 2 * 2 * 2 * 2 * 3 * a *b⁴  = 2⁴ *  3 * a * b⁴

LCM = 2⁴ * 3 * 5 * a² * b⁴

       = 16 * 3 * 5 * a² * b⁴

       = 240a²b⁴

Answer:

g = 7 + 13x-1 + -5x + x2

Step-by-step explanation:

Simplifying

g(x) = x3 + -5x2 + 7x + 13

Multiply g * x

gx = x3 + -5x2 + 7x + 13

Reorder the terms:

gx = 13 + 7x + -5x2 + x3

Solving

gx = 13 + 7x + -5x2 + x3

Solving for variable 'g'.

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

Divide each side by 'x'.

g = 13x-1 + 7 + -5x + x2

Simplifying

g = 13x-1 + 7 + -5x + x2

Reorder the terms:

g = 7 + 13x-1 + -5x + x2

Answer:

[tex]-\frac{7}{3}[/tex]  or -2.333333333

Step-by-step explanation:

 to fine the slope you use rise/run= [tex]\frac{(-3)-4}{2-(-1)}[/tex]