Find a primitive Pythagorean triplet (a, b, c) where c=a+50.

Step-by-step explanation:

f(x) = x² + 2ax + a² - a

g(x) = 4 - x²

f(x) = g(x)

x² + 2ax + a² - a = 4 - x²

2x²+2ax+a²-a -4 =0

the equation has two different solutions

=> (2a)² - 4(2)(a²-a-4) > 0

4a²-8a²+8a +32 >0

-4a²+8a+32 > 0

a²-2a-8 >0

(a-4)(a+2) < 0

the answer should be

-2 < a < 4

Answer:

21

Step-by-step explanation:

15-15=0

17-(-4)=21

sqrt(0^2+21^2)=21

Answer:

[tex]\frac{38}{45}[/tex]

Step-by-step explanation:

[tex]\frac{4}{10} +\frac{4}{9}[/tex]

So first you need to have a common denominator (the number on the bottom)

The least common denominator (LCD) would be 90.

So then the fractions would be: [tex]\frac{36}{90} +\frac{40}{90}[/tex].

Add.

You get: [tex]\frac{76}{90}[/tex]

Simplify and the answer is [tex]\frac{38}{45}[/tex]

Step-by-step explanation:

[tex]1) \: \: 2x - 2y + z = 3 \\ 2x = 3 + 2y - z \\ x = \frac{3 + 2y - z}{2} \\ \\ 2) \: \: \: not \: any \: \: \: x \: \: \: available \: \: \\ \\ 3) \: \: x + 3y + 2z = - 21 \\ x = - 21 - 3y - 2z[/tex]

Answer:

x= -5

Step-by-step explanation:

5y-z= -31, add z and 31 to both sides

5y+31 = z, substitute z in the other two given equations

2x - 2y+z=3

2x-2y +5y+31 = 3, combine like terms and subtract 31 from both sides

2x+3y = -28

x+ 3y + 2z = -21

x+3y +2(5y+31) = -21, distribute 2 over the addition parenthesis

x+3y +10y+62 = -21, combine like terms and subtract 62 from both sides

x+13y = -83

Now we have 2 equations  with 2 variables x and y to solve

2x+3y = -28

x+13y = -83

Because we need to find x then from the first equation we can write that

3y = -2x-28, subtract 2x from both sides and the divide both sides by 3

y = (-2x-28)/3, substitute this in the second equation

x + [13(-2x-28)/3] = -83 , distribute 13 . over the subtraction parenthesis

(3x/3)+[(-26x - 364) /3= -83, find the common denominator

3x+[(-26x - 364) = -83*3 , cross multiply

3x -26x = -249 +364, add 364 to both sides

- 23x = 115, divide both sides by (-23)

x= -5

Answer:

X=1/174

Step-by-step explanation:

Answer:

x = -5/21

Step-by-step explanation:

The common denominator between all the terms in this equation is 30. Multiply everything by 30.

[x+1/6=3x/10]  * 30

30x + 5 = 9x   subtract 9x on both sides

21x+5 = 0  subtract 5 on both sides

21x = -5   divide 21 on both sides

x = -5/21

Answer:

2.05

Step-by-step explanation:

1.25 + 0.8= 2.05 but if your doing multiplication then it would be 1 just 1.

Answer:

We need the picture

Step-by-step explanation:

Answer:

Step-by-step explanation:

Where's the line?

Answer:

A = 3 B + 3x

B = - X + A/3

Step-by-step explanation:

X = - B + A/3

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The equation is given in "slope-intercept" form.

  y = mx + b

where m is the slope, and b is the y-intercept.

__

For graphing, it is usually convenient to start with the y-intercept. The value of 'b' in your equation is +1, so the graph will go through the point y=1 on the y-axis. That point's coordinates are (0, 1).

The value of m represents the slope, or "rise"/"run" of the line. A slope of -2/3 means the line "rises" -2 units for each "run" of 3 units to the right. Then another point on the graph will be 3 units to the right of the y-axis, and 2 units down from y = 1. That point is (3, -1).

The line is drawn through these points you found on the graph.

the answer should be A

Answer:

Express concentrations of solution components using mole fraction and molality

Describe the effect of solute concentration on various solution properties (vapor pressure, boiling point, freezing point, and osmotic pressure)

Perform calculations using the mathematical equations that describe these various colligative effects

Describe the process of distillation and its practical applications

Explain the process of osmosis and describe how it is applied industrially and in nature

Step-by-step explanation:

i helped

Answer:

11 i think

Step-by-step explanation:

Answer:

2y + 3x = -17

Step-by-step explanation:

standard form is Ax + By = C

first step is to distribute -3/2 among 'x' and then by 1 to get:

-3/2x - 3/2

you now have y + 7 = -3/2x - 3/2

we want to get the -3/2x term on the same side as 'y' and get 7 from the right side to the left side

we want to add 3/2x to the left side of the equation because it is being subtracted:

y + 3.2x + 7 = -3/2

now we want to subtract 7 to the right side because it is currently being added:

y + 3/2x = -7 3/2

we can convert -7 3/2 to be -17/2

we now can eliminate the denominator of 2 in the 'x' term by multiplying each term by 2 to get:

2(y + 3/2x) = -17/2(2)

distribute and simplify to get:

2y + 3x = -17

Answer:

10 feet long each because 8 × .25 is 2 and 8 + 2 is 10

Step-by-step explanation:

Brainliest?

Answer:

[tex]d \: is \: correct[/tex]

Answer:

a. y = -2x-5

Step-by-step explanation:

*Don't get confused the y-axis scale is 2

I guess you would kind of have to guess by looking at the graph for this one, the y-intercept is 5.

The graph is negative because it is pointing the opposite way

The slope is 2 because the y-axis has a scale of 2

With these facts you can formulate that the equation would be y = -2x-5

Answer:

y=1/2x - 2.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

We can use the point-slope formula to write an equation for this line. The point-slope formula states :

where m  is the slope and (x1   y1)  is a point the line passes through .

We can substitute the slope and values from the point to give:

(y-1) = 8 (x-7)

We can also transform this equation to the slope-intercept form by solving for  

y

. The slope-intercept form of a linear equation is: y=mx+b

where the m is the slope and b s the y-intercept value.

y-1= (8 times x) - ( 8 times 7)

y-1=   8x - 56

y-1 + 1= 8x- 56 + 1

y-0=  8x- 55

y= 8x - 55

Answer:

tesie nqsguirin tentndaoloe

Step-by-step explanation:

Answer:

c and b

Step-by-step explanation:

behdjdurjnrnrjdjdjdi

Answer:

18/3=6

Step-by-step explanation:

3 can be made out of 18 6 times

Answer:

x+-8 > 12 Hope this helps.

-3   |  9-8=1       | (-3, 1)

-2   | 4-8= -4      | (-2, -4)

-1   | 1-8=-7       | (-1, -7)

0.  | 0-8=-8       |  (0, -8)

1   | 1-8=-7       |  (1, -7)

Answer:

1/8

Step-by-step explanation:

3/4=6/8

7-6=1

therefore 1/8

Answer:

7/6

Step-by-step explanation:

7/8 divided by 3/4= 7/8 x 4/3 = 28/24= 7/6

Answer:

12

Step-by-step explanation:

4(1)+2(1)”3+7(1)”2-1

4+2+7-1

12

wait if x=-1 it’s zero

Answer:

4.5 degres

Step-by-step explanation:

Answer:

Mao will say more numbers

Step-by-step explanation:

Mao will say more numbers because, to get to 30, you must count by fives 6 times. For example, 5,10,15,20,25,30. There are 6 numbers there. On the contrary, Alana is only going to count 4 times. 10,20,30,40. 6 is greater than 4, therefore Mao will say more numbers. I hope this helps!

Answer:

(4x^2 - 2)^2 - (4x^2)^2 = 4(1 - 2x)(1 + 2x)

16x^4 - 16x^2 + 4 - 16x^4 = 4(1 - 2x)(1 + 2x)

4 - 16x^2 = 4(1 - 2x)(1 + 2x)

4(1 - 4x^2) = 4(1 - 2x)(1 + 2x)

4(1 - 2x^2)(1 + 2x) = 4(1 - 2x)(1 + 2x)