MATHEMATICS HIGH SCHOOL

If 500 students attend Washington Middle School, how many are going to the mountians for vacation?A. 25
B. 60
C. 75
D. 100
E. 125
If 500 students attend Washington Middle School, how many are - 1

Answers

Answer 1
Answer:


12% of 500 people

12/100 x 500=60

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Two lines, A and B, are represented by the following equations: Line A: 4x + 4y = 16 Line B: x + y = 4 Which statement is true about the solution to the set of equations? It is (1, 2). There are infinitely many solutions. It is (1, 5). There is no solution.
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What is the correct simplified form of 3±95√3 ?
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Which of the following statements is always true? A. Acute triangles are scalene. B. Scalene triangles are acute. C. Acute triangles are equilateral. D. Equilateral triangles are acute.

Answers

D.) equilateral triangles are acute.
- In an equilateral triangle, the 3 angles are always 60 degrees.

Final answer:

None of the given options in the question are true. Not all acute, scalene or equilateral triangles are the other types. They have distinct characteristic which defines them.

Explanation:

The subject matter of this question is about the different types of triangles, namely acute triangles, scalene triangles, and equilateral triangles.

An acute triangle is a triangle in which all three angles are less than 90 degrees. A scalene triangle is a triangle where all sides and angles are different. An equilateral triangle is a triangle where all sides and angles are equal, with each angle being 60 degrees.

Looking at these definitions, we can see that none of the given options are true. Not all acute triangles are scalene (they can be isosceles or equilateral), not all scalene triangles are acute (they can be obtuse or right), not all acute triangles are equilateral (they can be scalene or isosceles), and not all equilateral triangles are acute (they are, by definition, always acute).

Learn more about Triangles here:

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The sum of two numbers is 55 and the difference is 13 . What are the numbers?

Answers

21 and 34 are the numbers
The numbers are 21 and 34 because when you add them its 55 and subtract them its 13

For what value of x is the rational expression below undefined 2x+4/x-7

Answers

Answer:

x=7

Step-by-step explanation:

we have

(2x+4)/(x-7)

we know that

In the given expression the denominator can not be equal to zero

therefore

To find the value of x for which the expression is undefined. equate the denominator to zero

x-7=0

Solve for x

Adds 7 both sides

x-7+7=0+7

x=7
A rational expression is undefined when the denominator equals zero, so we need to make the denominator equal to zero. Set it to zero and solve:
x - 7 = 0
Add seven to both sides:
x = 7

And there's your answer!

Hope I helped, and let me know if you have any questions :)

Find the equation of the circle whose center and radius are given.center ( 7, -3), radius = 7

Answers

Answer:  The required equation of the circle is x^2+y^2-14x+6y+9=0.

Step-by-step explanation:  We are given to find the equation of the circle with center at the point (7, -3) and radius of length 7 units.

We know that

the standard equation of a circle with center at the point (h, k) and radius of length r units is given by

(x-h)^2+(y-k)^2=r^2~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)

For the given circle,

center, (h, k) = (7, -3)  and  radius, r = 7 units.

From equation (i), we get

(x-7)^2+(y-(-3))^2=7^2\n\n\Rightarrow (x-7)^2+(y+3)^2=49\n\n\Rightarrow x^2-14x+49+y^2+6y+9=49\n\n\Rightarrow x^2+y^2-14x+6y+9=0.

Thus, the required equation of the circle is x^2+y^2-14x+6y+9=0.
(x – h)² + (y – k)² = r² 

Fill in the numbers 

(x – 7)² + (y +3)² = 49

Factorise fully
9x^2+3x^3

Answers

Here, we are required to factorise fully 9x² + 3x³

  • The answer is 3x²(3+x)

To factorise the expression 9x² + 3x² fully; we first need to write out factors of 9x² and 3x³ respectively. Thus;

  • Factors of 9x² are: 3 × 3 × x²

  • Factors of 3x³ are:3 × x² × x

Since 3x² is a common factor for 9x² and 3x³,

3x² can be factored out so that we have the result of the factorization to be;

3x²(3+x)

as "3" and "x" are the remaining factors of 9x² and 3x³ respectively.

Read more:

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Answer:

3x^2(3+x)

Step-by-step explanation:

9x^2+3x^3

3(3x^2+x^3)

3x^2(3+x)

Find the slope of the line passing through the points (2,-3) and (1,-5) .

Answers

Answer:

The slope of the line passing through the points (2, -3) and (1, -5) is 2.
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