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3 years ago

What is the Pythagorean’s Theorem ?

Mathematics

2 answers:

asambeis [7]3 years ago

3 0

The image doesn't make sense. The triangle is isosceles but yet 13=18. Could you help me verify which sides 13 and 18 are?

Nataly_w [17]3 years ago

3 0

A squared plus b squared equals c squared is the formula or equation that is used regarding pythagorean theorem. The two opposite sides are a and b in that picture. Since one side is 18 and it is equal to the other line(hence the dashes), the other line is 18. Let’s plug this into the equation:

(18^2) + (18^2) =c^2
324 +324 = c^2
648=c^2
Now you have to find the square root of 648. The square root of 648 is 18√2.
C is equal to 18√2.

You might be interested in

Mops

Ipatiy [6.2K]

Answer:

270

Step-by-step explanation:

For any arithmetic sequence

nth term is given by

nth term = a + (n-1)d

where a is first term,

d is common difference

d is given by nth term - (n-1)th term

sum of n terms given by

sum = n/2(2a + (n-1)d)

________________________________________________

Given arithmetic sequence

-2,0,2,4,6,8...

first term a = -2

lets take third term as nth term and second term as (n-1)th term to find common difference d.

d = 2 - 0 = 2

using a = -2 , d = 2, n = 18

thus, sum of first 18 terms = n/2(2a + (n-1)d)

=18/2( 2*(-2) + (18-1) 2)

=9 ( -4 + 34)

=9 ( 30) = 270

Thus, sum of first 18 terms is 270.

7 0

3 years ago

Mr. Grocer has 421 dozen eggs valued at $0.59 per dozen. How much are the eggs worth altogether?

Karo-lina-s [1.5K]

Answer:

248.39

Step-by-step explanation:

421 × .59 =248.39

3 0

3 years ago

Read 2 more answers

I have these factoring questions I need help with.

snow_lady [41]

$f(x)=4x^2+4x-3$

1. Determine y-intercept.

The y-intercept is (0,-3). Substitute x = 0 in the equation as we get f(x) = -3 as the y-intercept.

2. Determine the zeros.

Factor the polynomials first. $(2x-1)(2x+3)$ This is the factored form. The zeros are the roots of equation. Therefore, the zeros are 1/2 and -3/2

3. Determine the Axis of Symmetry

We can solve this by using the formula of $x=-\frac{b}{2a}$ However, I'll be solving the Axis of Symmetry with Calculus instead.

$f'(x)=2(4x^{2-1})+1(4x^{1-1})-0\\f'(x)=8x+4$

Then let f'(x) = 0 to find the Axis of Symmetry.

$8x+4=0\\8x=-4\\x=-\frac{4}{8}\\x=-\frac{1}{2}$

Therefore, the Axis of Symmetry is -1/2

4. Determine the vertex.

Substitute the value of Axis of Symmetry in f(x).

$f(x)=4(-\frac{1}{2})^2+4(-\frac{1}{2})-3\\f(x)=4(\frac{1}{4})-2-3\\f(x)=1-2-3\\f(x)=-4$

Therefore the vertex is at (-1/2, -4)

5. Does the vertex representing max-pont or min-point?

The vertex represents the minimum point. The graph is upward, meaning the minimum point is the point that gives the LOWEST Y-VALUE.

7. Graph f(x)

Unfortunately I won't be able to graph. But I can tell you to graph a parabola that has the most curve at the vertex and intercepts y-axis at (0,-3).

--------------------------- End of Part 1 --------------------------------

2. Write the general form of Quadratic Function in standard form.

$y=ax^2+bx+c$

The graph can be easily determined about the y-intercept and being an upward or downward parabola along with how narrow or wide the parabola is.

For example, c value is the y-intercept as defined. When a > 0, the parabola is upward and when a < 0, the parabola is downward. The more value of | a | is, the more narrow it will be and the less value of | a | it is, the wider it will be.

3. Write in Factored Form

$y=(x+a)(x+b)\\y=(x-a)(x-b)\\y=(x+a)(x-b)\\y=(x-a)(x+b)$

These are factored forms with different types of operators.

The equation can be easily determined about the roots of equation. For example, if the function is in f(x) = (x+2)(x-1) Then the roots would be x = -2 and 1 as the graph will intercept x-axis at (-2,0) and (1,0)

4. Write in Vertex Form.

$y=a(x-h)^2+k$

The equation can be easily determined for the vertex, axis of symmetry and the same narrow/wide/upward/downward parabola again.

The vertex is at (h,k) and the axis of symmetry is at x = h.

For example, $y=(x-2)^2+3$

The vertex would be at (2,3) and the axis of symmetry is x = 2.

3 0

3 years ago

Arrange these numbers from least to greatest: 2 over 5 comma text end text − 3 over 7 comma text end text 2 over 3. A. 2 over 5

liberstina [14]

Given:
Three fractions:
1) 2/5
2) -3/7
3) 2/3

The least is -3/7 because of the negative sign. Second is 2/5, and the greatest is 2/3.

-3/7 is -0.43 in decimal form
2/5 is 0.40 in decimal form
2/3 is 0.67 in decimal form

My answer is:
B. − 3 over 7 comma text end text 2 over 5 comma text end text 2 over 3

3 0

3 years ago

How do I solve this thanks

wlad13 [49]

I think that a is 6 if 54 divided by 9 then its 6

5 0

3 years ago

Read 2 more answers