MATHEMATICS MIDDLE SCHOOL

Find the equation of the line.
Please need help badly!!

Answers

Answer 1

Answer:

Answer:

lets consider two end points are the marked points ,

Then ,

(1,5)=x1,y1

(-1,-3)=x2,y2

line passes through point(1,0)=x3,y3

slope of line ,m = (y2-y1)/(x2-x1)

= (-3-5)/(-1-1)

Eqn of line is:

y-y3=m(x-x3)

y-0 = 4(x-1)

y=4x-4

4x-y=4 is reqyuired eqn..

Step-by-step explanation:

Problem may arise due to calculation but plz check it ...

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Find one point that lies in the solution set of the following system of inequalities:Y<(or equal)1/2x+6
y>-3x-1

justify answer

Answers

Simplify the first inequality.

Multiply 1/2 by x to get (1/2)x.
y≤(1/2)x+6 and y>−3x−1

Simplify.
y≤x/2+6 and y>−3x−1

Since x is on the right-hand side of the equation, switch the sides so it is on the left-hand side of the equation.
x/2+6≥y and y>−3x−1

Because 6 does not contain the variable to solve for, move it to the right-hand side of the inequality by subtracting 6from both sides.
x/2≥−6+y and y>−3x−1

Multiply both sides of the equation by 2.
x≥−6⋅(2)+y⋅(2) and y>−3x−1

Multiply −6 by 2 to get −12.
x≥−12+y⋅(2) and y>−3x−1

Multiply y by 2 to get y(2).
x≥−12+y(2) and y>−3x−1

Multiply y by 2 to get y⋅2.
x≥−12+y⋅2 and y>−3x−1

Move 2 to the left of the expression y⋅2.
x≥−12+2⋅y and y>−3x−1

Multiply 2 by y to get 2y.
x≥−12+2y and y>−3x−1

Reorder −12 and 2y.
x≥2y−12 and y>−3x−1

Simplify the second inequality.

Because x is on the right-hand side of the equation, switch the sides so it is on the left-hand side of the equation.
x≥2y−12 and −3x−1<y

Since −1 does not contain the variable to solve for, move it to the right-hand side of the inequality by adding 1 to both sides.
x≥2y−12 and −3x<1+y

Divide each term in the inequality by −3. When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.
x≥2y−12 and −3x/−3>1/−3+y/−3

Cancel 3 in the numerator and denominator.
x≥2y−12 and −(−1⋅x)>1/−3+y/−3

Multiply −1 by x to get −1x.
x≥2y−12 and −(−1x)>1/−3+y/−3

Rewrite −1x as −x.
x≥2y−12 and −(−x)>1/−3+y/−3

Simplify
x≥2y−12 and x>−1/3+y/−3

x≥2y−12 and x>−1/3−y/3

Point of intersection: (-2, 5)

Steven has a rectangular closet the length is 10 feet and the width is 48 inches determine the area of the closet in square feet

Answers

To be honest with u I think that u need to multiply 10 times 48.. I think thats it not sure if is the 100% correct answer

Lee el párrafo y escoge la mejor respuesta. Read the excerpt and choose the best response.Sin duda, la obra de arte más famosa hecha por Salvador Dali es La persistencia de la memoria (1931). Algunos expertos piensan que esta obra refleja la

obsesión por el paso del tiempo y el espacio que se refleja con los relojes. Otros piensan que Dalí la pinto para representar el paso del tiempo que se

experimenta cuando duermes.

According to the reading, what is the importance of the watches in the painting La persistencia de la memoria?

Answers

Answer:

According to the reading, watches represent the main significance of the painting "La persistencia de la memoria", because this painting shows the obsession with times and space, which are signified by the watches.

Therefore, the importance of the watches in the painting is crucial to the meaning of it.

An isosceles right triangle is a right triangle with congruent legs. If the length of each leg is represented by x, what algebraic expression can be used to represent the length of the hypotenuse?

Answers

The algebraic expression which can be used to represent the length of the hypotenuse (h) of an isosceles right triangle is h=x√2.

How to write algebraic expression?

Algebraic expression are the expression which consist the variables, coefficients of variables and constants. The algebraic expression are used to represent the general problem in the mathematical way to solve them.

Steps to write down the simple algebraic expression-

Identify all the factors of the expression.
Assume a variable for the changing values.
Put a coefficient for the variable, if there is any rate of change of variable.
Use constant numbers for the fixed values.

An isosceles right triangle is a right triangle with congruent legs. The length of each leg is represented byx.

According to the Pythagoras theorem says that in a right angle triangle, the square of hypotenuse side is equal to the sum of square of other two legs of right angle triangle.

Let suppose the length of the hypotenuse is h. Thus, the algebraic expression can be used to represent the length of the hypotenuse is,

$h^2=x^2+x^2\n\h=√(x^2+x^2)\nh=√(2x^2)\nh=x√(2)$

Hence, the algebraic expression which can be used to represent the length of the hypotenuse (h) of an isosceles right triangle is h=x√2.

Learn more about the algebraicexpression here;

brainly.com/question/2164351

right triangle means Pythagorean theorem!
a^2+b^2=c^2
if each leg (a and b) = x, then
x^2+x^2=c^2
2x^2=c^2
solving for c by taking the square root of both sides leaves

c=x×sqrt(2)

c must be positive since its a length, so no need for a +- I. this case

With a principal investment of $19,200, which account will have the greatest value after 5 years? simple interest: I = P • r • t interest compounded annually is A = P (1 + r)t interest compounded quarterly: A = P (1 + )4t A. 3.6% with interest compounded annually B. 3.8% in a simple interest account C. 3.4% with interest compounded annually D. 3.2% with interest compounded quarterly