a triangle with sides lengths of 17, 21, and 10. is this a right triangle?

Answer:

B

Step-by-step explanation:

some people can't understand lafossefams joke

The method of completing the squares method will be used for the next step. The next step would be ( x+ (b/2a)  )^2 = -c/a + b^2/(4a^2)

Suppose that two terms are 'a' and 'b'.

Then, their sum's square is expanded as:

[tex](a+b)^2 = a^2 + 2ab + b^2[/tex]

For this case, we're given the quadratic equation with its 4 steps of solution as:

[tex]ax^2 + bx + c = 0\\\\\dfrac{ax^2}{a} + \dfrac{bx}{a} + \dfrac{c}{a} = 0\\\\x^2 + \dfrac{bx}{a} + \dfrac{c}{a} = 0\\\\x^2 + \dfrac{bx}{a} = -\dfrac{c}{a}\\\\x^2 + \dfrac{bx}{a} + \dfrac{b^2}{4a^2} = -\dfrac{c}{a} + \dfrac{b^2}{4a^2}[/tex]

We've to proceed to the next step.

In the left hand side, we can use the formula [tex](a+b)^2 = a^2 + 2ab + b^2[/tex], where [tex]\rm a \: is \: x^2, and \: b \: is \: \dfrac{b}{2a}[/tex]

Thus, we have:

[tex]x^2 + \dfrac{bx}{a} + \dfrac{b^2}{4a^2} = x^2 + 2 \times x \times \dfrac{b}{2a} + \left(\dfrac{b}{2a} \right)^2 = \left( x + \dfrac{b}{2a} \right)^2[/tex]

We expressed the left sided expression in this form so that the variable 'x' (which is assuminly the only variable in the equation, whose value is to be known) gets packed into single container and not spread throughout with different powers.

Now, we can use square root and then subtraction and division of some terms which will make 'x' stay on one side of the equation, and rest of the constants on other side, as the value of 'x' for which the considered equation [tex]ax^2 + bx + c = 0[/tex] is correct.

The next step of the solution, therefore, is:

[tex]\left( x + \dfrac{b}{2a} \right)^2 = \dfrac{-c}{a} + \dfrac{b^2}{4a^2}[/tex]

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Answer:

c(n) = 2.25n + 4

g(n) = 2n + 6

Solve:

[tex]g(n) = c(n)[/tex]

so:

[tex]2n + 6 = 2.25n + 4\\2 = 0.25n\\n = 8[/tex]

plug this in:

[tex]g(n) = 2n + 6\\g(n) = 2 * 8 + 6\\g(n) = 16 + 6 = 22[/tex]

Both Chef Mate and Grocery Gourmet charge $22 for 8 ounces of vanilla extract.

Answer:

no

Step-by-step explanation:

Answer:

What is the shape? Btw, heres a tip although I havent seen the actual problem, if you know the area, simply divide the area by the width to get your length!

Step-by-step explanation:

Answer:

088y765

Step-by-step explanation:

Coefficient of 14x is 14

Coefficientis the number in front of the letter. For example, coeffient of 2b is 2. When there is no number in front of the letter the coefficient is 1.

Answer:

A = 900in²

Perimeter   120in

Using the formulas

A = a²

P = 4a

Step-by-step explanation:

Solving for A:

A = 1/16 P² = 1/16 · 120² = 900in²

Answer:

900in^2

Step-by-step explanation:

120 divided by 4 because there are 4 sides

120÷4=30

Area= 30x30

       = 900in^2

Answer:

not sure

Step-by-step explanation:

5) Answer:

[tex]2b^{2} c[/tex]

6) Answer:

[tex]4x^{6} [/tex]

The answer for the first equation is option C. And option A is the answer for the second equation.

Answer:

[tex]G = (2,-1)[/tex]

[tex]H = (9,1)[/tex]

Step-by-step explanation:

Given

[tex]E = (4,7)[/tex]

[tex]F=(-3,5)[/tex]

[tex]D =(3,3)[/tex] --- Diagonal

Required

Determine the coordinates of G and H

Since EFGH is a parallelogram, then:

D is the midpoint of EG and EF

For EG, we have:

[tex](3,3) = \frac{1}{2}(4 + x,7+y)[/tex]

Where x, y are the coordinates of G.

Multiply both sides by 2

[tex](6,6) = (4+x,7+y)[/tex]

By comparison:

[tex]4 + x = 6[/tex] ==> [tex]x =2[/tex]

[tex]7 + y= 6[/tex] ==> [tex]y = -1[/tex]

So:

[tex]G = (2,-1)[/tex]

For FH, we have:

[tex](3,3) = \frac{1}{2}(-3 + x,5+y)[/tex]

Where x, y are the coordinates of H.

Multiply both sides by 2

[tex](6,6) = (-3 + x,5+y)[/tex]

By comparison:

[tex]-3+x = 6[/tex] ==> [tex]x = 9[/tex]

[tex]5 + y = 6[/tex] ==> [tex]y =1[/tex]

So:

[tex]H = (9,1)[/tex]

Answer:

556 degrees i think

Step-by-step explanation:

Answer: R = 3/7

Step-by-step explanation:

The complete question is:

Erin loves to play sports! She has earned 3 tennis trophies, 4 basketball trophies, 7 soccer trophies, and 1 volleyball trophy.

What is the ratio of Erin's tennis trophies to soccer trophies?

This is simply the quotient between the number of tennis trophies and the number of soccer trophies.

She has 3 tennis trophies and 7 soccer trophies, then the ratio is:

R = 3/7

Answer:

Both types of angles, complementary angles, supplementary angles.

Step-by-step explanation:

Hope this helps

Both types of angles, Complementary angles, supplementary angles are pairs of angles whose measures have specific sums. Therefore, option A is the correct answer.

Two angles are said to be complementary angles if they add up to 90 degrees. In other words, when complementary angles are put together, they form a right angle (90 degrees).

Supplementary angles refer to the pair of angles that always sum up to 180°. These two angles are called supplements of each other.

Therefore, option A is the correct answer.

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Answer:

Arithmetic.

Step-by-step explanation:

Geometric sequences have common ratios. Arithmetic sequences have common differences.

Answer:

Below.

Step-by-step explanation:

Try subtracting the terms to see if its arithmetic:

-5 - -9 = 4

-1 - -5 = 4

3 - -1 = 4

7 - 3 = 4

The common difference is 4 so its arithmetic.

Answer:

Kindly check explanation

Step-by-step explanation:

The equation for the discounted cost :

c - 0.15c

Initial cost = c

Discount percent = 15% = 15/100 = 0.15

Discount on sale = 0.15 * c = 0.15c

Hence,

Discounted price = initial price - discount on sale

Discounted price = c - 0.15c

c - 0.15c = 0.85c

Answer:

They are all yes

Step-by-step explanation:

They are all linear

Answer:

the one with a blue line and dots

Step-by-step explanation:

Answer:

$477

Step-by-step explanation:

Net Price:$ 450.00

+ Sales Tax (6%):$ 27.00

Total Price:$ 477.00

Answer:

642 right??

Step-by-step explanation:

Was this the answer you were looking for?

Answer:

Office Max

Step-by-step explanation:

Office Max charges $3.50 for each notebook. Staples charges $4 for each notebook. You can achieve this answer by dividing cost by the number of notebooks.

Answer:

1 3/8

Step-by-step explanation:

Answer:

If AB is a tangent to the circle, the triangle ABO is right angled, as the angle where a tangent meets the circumference is always 90 degrees.

We also know that Pythogoras' theorem only holds for right angled triangles.

The hypotenuse is 12 + 8 as 12 is the radius so is 20.

16^2+12^2 = 256 + 144 = 400 = 20^2 so AB must be tangent.

Answer:

24

128 divided by 16 is 8

8 x 3 = 24

Step-by-step explanation:

Answer:

26 approx answer

Step-by-step explanation:

thanks give me high points

Step-by-step explanation:

the answer 26 approx answer.

Answer:

I think 3 have more, but I am not 100 percent

Answer:

easy

x=4 y=7 or

x=4 y=-1

Step-by-step explanation:

x=4 y=7 or

x=4 y=-1

Answer:

C - A -B - C -A

Step-by-step explanation:

Answer:

1/10. 10% Since there are 30 pens, there are 3 black ones.

Answer:

The fraction of the black pens in the pack is [tex]\frac{3}{30}[/tex]

The percent of the black pens in the pack is 10%

Step-by-step explanation:

If 1/10 pens are black, we can use this same proportion to find how many black pens will be in the pack of 30.

Using this, there will be 3/30 pens that will be black, since 3/30 is equivalent to 1/10 when reduced.

So, the fraction of the black pens in the pack is [tex]\frac{3}{30}[/tex]

To find the percent, divide 3 by 30:

3/30

= 0.1 (10 percent)

So, the percent of the black pens in the pack is 10%

Answer:

20 cm

Step-by-step explanation:

When you add the lengths of any two sides in a triangle, it has to be greater than the length of the third side.

So...

14 + 7 > side 3

14 + 7 > 22 is false

14 + 7 > 20 is true

Answer:

B) 4√2

General Formulas and Concepts:

Calculus

Differentiation

Basic Power Rule:

Parametric Differentiation

Integration

Arc Length Formula [Parametric]:                                                                         [tex]\displaystyle AL = \int\limits^b_a {\sqrt{[x'(t)]^2 + [y(t)]^2}} \, dx[/tex]

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle \left \{ {{x = t - cos(t)} \atop {y = 1 - sin(t)}} \right.[/tex]

Interval [0, π]

Step 2: Find Arc Length

Topic: AP Calculus BC (Calculus I + II)

Unit: Parametric Integration

Book: College Calculus 10e