How to figure out the absolute value.

Answer:

8

Step-by-step explanation:

100 = x^2 + AC^2

17^2 = AC^2 + (21 - x)^2

289 = AC^2 + 21^2 + x^2 - 2*21*x

289 = AC^2 + 441 + x^2 - 42x

from 1st equation AC^2 + x^2 = 100

289 = 441 + 100 - 42x

289 = 541 - 42x

42x = 541 - 289 = 252

x = 252/42 = 6

so AC^2 = 100 - 6^2 = 100 - 36 = 64

AC = 8

Answer:

Step-by-step explanation:

You cannot subtract JUST a denominator. The subtraction sign is lower down because of the odd printing just like the equal signs.

1. The first thing you have to do is change this from a mixed fraction into an improper fraction in order to subtract. This becomes:

2. This one requires you to multiply your denominator so that it is the same for both fractions. The least common denominator (LCD) for these fractions is 12

3. This is fairly straight-forward the denominators already match so just subtract the numerators

4. Because we have a full number we must make it into a fraction in order to subtract it and also turn the mixed fraction into an improper fraction

5. This problem requires multiple steps the first would be to make improper fractions then get a LCD and then of course subtract.

6. For this we will use another LCD.

Answer:

-2/3

3/2

Step-by-step explanation:

So to have a line parallel the equation is: m1 = m2, meaning the slope (represented by m in this equation) is equal. So in the equation. 3y = - 2x + 4 you need to simplify the equation by dividing both sides by 3. Which would be like so: y = - 2/3x + 4/3, which the slope will be -2/3.

To be perpindicular you need the slope to be: m1 * m2 = - 1. So because we already know that the slope is -2/3, all we need to do is set up an equation: -2/3 * y = - 1

-2/3y = - 1

multiply both sides by 3/-2

y = 3/2

Answer:

a= -1

b= 7

c= 0

Step-by-step explanation:

equation is

y=h(x)(x-7)

let x be 5 and y be 10 to solve for a

10=h(5)(5-7)

10=h(-10)

h=-1

now equation is

y= -x²+7x

so a=-1

b=7

c=0

The value of a is -1, the value of b is 7 and the value of c will be equal to zero.

Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both.

Adding, subtraction, multiplying, and division are all reflection coefficient operations. A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.

As per the data provided in the question,

y = h(x) × (x-7)

let x be 5 and y be 10 to solve for a

10=h(5) × (5-7)

10 = h(-10)

h = -1

now equation is

y = -x²+7x

So,

a = -1

b = 7

c = 0

To know more about expression:

https://brainly.com/question/14083225

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Answer:

Step-by-step explanation:

Let X be the initial price in March 2004.  

Let X'  be the price for March 2005.

Let X" be the price for June 2005.

March 2005:  The price was reduced by 20%.  Thus, X' = 0.8X

June 2005:  The price was reduced by 1/6 of the March 2005 price:  Thus,

    X" = X' - (1/6)X'

Substituting, we have X" = (0.8X) - (1/6)(0.8X)

X" = (0.8X) - (1/6)(0.8X)

X" = (0.8X) - (0.1333X)

X" = 0.6667X

The June 2005 price is 0.6667 of the 2004 price.  That's a (1-0.6667) or 33.33% reduction.

Answer:

It's hard.

Step-by-step explanation:

Answer:

Step-by-step explanation:

If you look carefully at the diagram, it looks like the French have no way out. The Prussians are on the outside perimeter and can always get supplies into their position. Since they are completely surrounded, the French do not enjoy that luxury.

Furthermore (and I'm guessing here) the Prussians probably outnumbered the French. Now it is possible to get around that problem, but not terribly likely if the numbers are really lopsided.

Answer:

5 Cans

Step-by-step explanation:

Hoped this helped.

Answer: 0.5 hope this helps if not i'm sorry

Answer:

1. 5⁴

2. d¹⁰

3. w⁶

Answer:

The answer is $75.56 total for the family payings.

Step-by-step explanation:

First I added the percentages up together which is now 25% you might ask me why I did that well it's because it's asking us the total of the payings in percentages so that's why I did that, next I used percentage calculations which is 25% of 60.45 and got the answer $15.11 which is the tax+ the tip now we just add 60.45 and 15.11 and that's how I got $75.56!  Hope I helped if I did please mark brainliest it means a lot to my progression! Thanks <3

Answer:

12

Step-by-step explanation:

2007 - 1995

Answer:

y-intercept: 3/7

Step-by-step explanation:

Our equation: y = mx + b

Given equation: y = 6x + 3/7

Now, let's compare:

y = mx + b = y = 6x + 3/7

We can tell that the y intercept is b, which is 3/7

Hoped this helped.

Answer:

y-intercept: 3/7

Step-by-step explanation:

Answer:

This is an equilateral triangle, which means all the sides are equal.

Hence, all three angles are the same.

[tex]3x=\frac{180}{3}[/tex]

[tex]3x=60[/tex]

Therefore,

[tex]x=20[/tex]

Answer:

20

Step-by-step explanation:

3x+3x+60= 180

6x= 180-60

6x= 120

Answer:

Weeks is the independent variable and height is the dependent variable.

Step-by-step explanation:

The height of the plant depends on the weeks the plant has been growing. So the height is the dependent variable. Because the number of weeks doesn't depend on anything, the number of weeks is an independent variable.

Answer:

sorry I cannot understand that

Answer:

[tex]- \frac{5}{4}[/tex]

Step-by-step explanation:

Use the slope form:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

m = slope

Let:

[tex](x_1 , y_1) = (-2 , -8)\\(x_2 , y_2) = (-6 , -3)[/tex]

Plug in the corresponding numbers to the corresponding variables, and solve:

[tex]m = \frac{-3 - (-8)}{-6 - (-2)} = \frac{-3 + 8}{-6 + 2} = \frac{5}{-4} = -\frac{5}{4}[/tex]

[tex]- \frac{5}{4}[/tex] is your answer.

Answer:

you would have 14 quarters left.

Answer:

x=2

Step-by-step explanation:

24x=48, x=2 (subtract 4 from both sides)

Answer:

[tex]\bf 24x+4=52[/tex]

[tex]\bf 24x+4-4=52-4[/tex]

[tex]\bf 24x=48[/tex]

[tex]\bf \cfrac{24x}{24}=\cfrac{48}{24}[/tex]

[tex]\boxed{\bf x=2}[/tex]

⊱ ────── {.⋅ ✯ ⋅.} ────── ⊰

Answer:

ion

Step-by-step explanation:srry

adddddddddddddddddddddddddddddddddddddddddddddddddddddd

Answer:

[tex]\sqrt{246}[/tex]

Step-by-step explanation:

The scale factor is [tex]\frac{4\sqrt{138} }{\sqrt{138}}[/tex] = 4

If AB = 6[tex]\sqrt{3}[/tex] then AC = 24[tex]\sqrt{3}[/tex]   4 times longer.

Using a² + b² = c²    substitute a = 4[tex]\sqrt{138}[/tex], b = 24[tex]\sqrt{3}[/tex], and c = DC = x

         [tex](4\sqrt{138})^2 + (24\sqrt{3} )^2= x^2[/tex]

            2208 + 1728 = x²

                3936 = x²

                 [tex]\sqrt{3936} = x[/tex]

                 4[tex]\sqrt{246[/tex]    this is the length of DC  

Now the length of EC is 4 times shorter, so EC = [tex]\sqrt{246}[/tex]

Answer:

(25-16)/9=

=9/9=1 because 5^2 is 25 and 3^2 is 9 (5x5)/(3x3)

Answer:

Using a system of equations, it is found that he has 2 dimes, 5 nickels and 12 pennies.

In the system of equations, I am going to say that:

x is the number of dimes.

y is the number of nickels.

z is the number of pennies.

---------------------

Two more nickels than dimes, thus:

Three times as many pennies as nickels, thus:

---------------------

A dime is worth $0.1, a nickel is worth $0.05, and a penny is worth $0.01. Total of $0.52, thus:

Solving for x:

---------------------

Solving for y and z:

He has 2 dimes, 5 nickels and 12 pennies.

Answer:

x=9

Step-by-step explanation:

Expand bracket

6x-18=36

Bring -18 to other side

6x=36+18

Add them

6x=54

Bring 6 to other side

x=54/6

Divide them

x=9

Answer:

850 this what I think it is

Step-by-step explanation:

that's what I think I don't know if that's the right answer

Answer:

8.5

Step-by-step explanation:

divide 10 by 10 to get to 1

divide 85 by 10 and u get 8.5

1=8.5

Answer:

[tex]\displaystyle \frac{x^4 + 10x^3 + 25x^2 + 3x - 24}{x^2 + 5x - 4} = x^2 + 5x - 4 + \frac{3x - 8}{x^2 + 5x - 4}[/tex]

General Formulas and Concepts:

Algebra I

Terms/Coefficients

Algebra II

Polynomial Division

Step-by-step explanation:

Step 1: Define

Identify.

[tex]\displaystyle \frac{x^4 + 10x^3 + 25x^2 + 3x - 24}{x^2 + 5x - 4}[/tex]

Step 2: Long Division

See attachment.

Please excuse the bad handwriting.

Answer:

Right-as long as it has one right angle it is a right triangle. It actually can't have more than one right angle.

Step-by-step explanation:

Step-by-step explanation:

Let's complete the square

x²-8x=-20

x²-8x+(-4)²=-20+(-4)²

x²+(-4)²=-20+16

(x-4)²=-4

(x-4)²+4

where a is an integer as required

Answer:

The coordinate proof is a proof of a geometric theorem which uses ... and/or y -axis until it does.) To Prove: ¯XY is parallel to ¯PR and. XY=12PR. Proof:.