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DedPeter [7]
3 years ago
8

The lengths of the sides of a right triangle can be described by the equation a2 + b2 = c2, where a and b are the lengths of the

sides that form a right angle and c is the side opposite from the right angle, known as the hypotenuse. If the length of the hypotenuse of an isosceles right triangle is inches. How long, in inches, are the legs of the triangle?
Mathematics
2 answers:
Luden [163]3 years ago
5 0
An isosceles triangle contains an 2 identical sides and a hypotenuse. The hypotenuse of an isosceles triangle measures √2 as compared to its sides which is 1. In conclusion, to get the sides of an isosceles triangle when given the length of its hypotenuse, divide the length of its hypotenuse by √2 and you should be able to get the length of its sides.
Umnica [9.8K]3 years ago
4 0

Answer:

The real answer is  

A.   ±3

If you do the math your answer will come out to  

±3. then it also says that your answer needs to be in inches. the answer couldn't be anything else except for 3.

THE ANSWER IS A

get this verified

Step-by-step explanation:

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If f(x) = x2 - 2x and g(x) = 6x + 4 for which value of x does (t +g)(x)=0​
Vinil7 [7]

Answer:

-2

Assumption:

Find the value of x such that (f+g)(x)=0.

Step-by-step explanation:

(f+g)(x)=0

f(x)+g(x)=0

(x^2-2x)+(6x+4)=0

Combine like terms:

x^2+4x+4=0

This is not too bad too factor on the left hand side since 2(2)=4 and 2+2=4.

(x+2)(x+2)=0

(x+2)^2=0

So we need to solve:

x+2=0

Subtract 2 on both sides:

x=-2

Let's check:

(f+g)(-2)

f(-2)+g(-2)

((-2)^2-2(-2))+(6(-2)+4)

(4+4)+(-12+4)

(8)+(-8)

0

0 was the desired output of (f+g)(x).

7 0
2 years ago
Define the set X = {(x,y)|x > 0,y ≤ √x}.
Kitty [74]

The set X is convex.

In geometry, a subset of an affine space over the real numbers, or more broadly a subset of a Euclidean space, is said to be convex if it contains the entire line segment connecting any two points in the subset. A solid cube is an example of a convex set, whereas anything hollow or with an indent, such as a crescent shape, is not. Alternatively, a convex region is a subset that crosses every line into a single line segment.

b)The set X is convex as any two points on the set X is included in the whole set as x>0. So a line joining any two points on the set X is completely inside the set x.

c)set X is not a closed set as the compliment of the set is not an open set.

d)Set X is not bounded. If a set S contains both upper and lower bounds, it is said to be bounded. A set of real numbers is therefore said to be bounded if it fits inside a defined range. hence set x is not bounded.

To learn more about convex sets:

brainly.com/question/12577430

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3 0
1 year ago
Which values for A and B will create infinitely many solutions for this system of equations? ax-y=8 2x+y=b
Nata [24]

Answer:

a = -2 , b = -8

Step-by-step explanation:

* Lets talk about the solution of the linear equations

- There are three types of the solutions of the system of linear equations

# If the two lines intersect each other, then there is one solution

- The equations are ax+ by = c , dx + ey = f

# If the two lines parallel to each other, then there is no solution

- The equations are ax+ by = c , ax + by = d in its simplest form ,

  where a is the coefficient of x , b is the coefficient of y and

  c , d are the numerical terms

# If the two lines coincide (over each other), then there are infinite

   solutions

- The equations are ax+ by = c , ax + by = c in its simplest form, where

  a is the coefficient of x , b is the coefficient of y and c is the

  numerical term

* Lets solve the problem

∵ The system of equation is:

   ax - y = 8 ⇒ (1)

   2x + y = b ⇒ (2)

∵ The system create infinitely many solutions

∴ The lines are coincide

- The equations must be equal, then multiply equation(1) or (2) by -1 to

  make the coefficient of y in the two equations equal

∴ -ax + y = -8

∴ 2x + y = b

∵ Their coefficients of x are equal

∵ Their coefficients of y are equal

∵ Their numerical terms are equal

∵ The coefficient of x in equation (1) is -a and in equation (2) is 2

∴ -a = 2 ⇒ multiply both sides by -1

∴ a = 2

∵ The numerical term in equation (1) is -8 and in equation (2) is b

∴ b = -8

* The values for a and b will create infinitely many solutions are -2 , -8

5 0
3 years ago
4.80952380952 in fraction form
vladimir2022 [97]

Answer:

77/16

Step-by-step explanation:

8 0
2 years ago
Trình bày khái niệm và cách giải phương trình bậc nhất 1 ẩn, hệ phương trình bậc nhất 2 ẩn
AysviL [449]
English please.......,.
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3 years ago
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