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kirza4 [7]
2 years ago
11

In the Pythagorean Theorem, the sum of the squares of the legs is equal to the square of the

Mathematics
1 answer:
NISA [10]2 years ago
7 0

Answer: D

Step-by-step explanation:

The sum of the squares of the legs is equal to the square of the hypotenuse .

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How do I find the slope, domain, range and y intercept of y=-2x
Natasha2012 [34]

Slope is defined as the rate of change, in this case the change in y with respect to x. In standard form for a binomial linear equation, y = mx + b. The constants m and b are the slope and intercept, respectively. For your equation, the slope is -2 and the intercept is 0. The domain (possible values of x) for this graph is (-∞, ∞) and the range (possible values of y) is also (-∞, ∞).

5 0
3 years ago
Choose the polynomial written in standard form.
Semenov [28]

Answer:

x^4 + 4x^3 + 10x

Step-by-step explanation:

A polynomial written in decreasing order of the degree of its monomials ( or single term ) is called its standard form,

In polynomial,

x^2 + 4x^4 + 10x^6,

Degrees are written in increasing order,

⇒ It is not written in standard form,

In polynomial,

x^4 + 4x^3 + 10x,

Degrees are written in decreasing order,

⇒ It is written in standard form,

In polynomial,

x^7 + 4x^3 + 10x^4,

There is no order of degrees,

⇒ It is not written in standard form,

In polynomial,

x^6 + 4x^3 + 10x^7,

There is no order of degrees,

⇒ It is not written in standard form,

4 0
3 years ago
Read 2 more answers
The length of the longer leg of a right triangle is 6 inches more than twice the length of the shorter leg. The length of the hy
Studentka2010 [4]

9514 1404 393

Answer:

  15 in, 36 in, 39 in

Step-by-step explanation:

The Pythagorean theorem tells us that for short side x, the relation is ...

  (2x +9)² = (2x +6)² +x²

  4x² +36x +81 = 4x² +24x +36 +x²

  x² -12x -45 = 0 . . . . . subtract the left-side expression

  (x -15)(x +3) = 0 . . . . factor

  x = 15 . . . . . . . . . . . the positive value of x that makes a factor zero

The side lengths of the triangle are 15 inches, 36 inches, and 39 inches.

6 0
3 years ago
The larger of two consecutive integers is 10 more than 4 times the smaller. Find the integers.
nevsk [136]

Answer:

-2 and -3

Step-by-step explanation:

Let L represent the large integer and S represent the smaller integer

Given  Large Integer = 10 + 4 times Smaller Integer

Mathematically:

L = 10 + 4S -------eq 1

It is also given that the integers are consecutive,

hence L = S + 1------ eq2

Now we can solve a system of equations by substitution.

Substitute eq 2 into eq 1

S + 1 = 10 + 4S    (subtract 1 from both sides)

S = 10 - 1 + 4S

S = 9 + 4S  (subtract 4S from both sides)

S - 4S = 9

-3S = 9 (divide both sides by -3)

S = 9 / (-3) = -3  (answer)

form equation 2,

L = S + 1

L = -3 + 1

L = -2 (answer)

3 0
3 years ago
What is the Median of the numbers 45, 40, 47, 50, 45, 49, 40, 46?
stepan [7]

Answer: 45

Step-by-step explanation:

The Median is the Middle # in the set.

I hope this helps!

8 0
2 years ago
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