MATHEMATICS HIGH SCHOOL

Solve the rational equation

1/x+3/8=1/4

Answers

Answer 1
Answer: Step 1: Subtract 3/8 from both sides
1/x+3/8-3/8=1/4-3/8
1/x=1/4-3/8

Step 2: Multiply 1/4 by 1/2
1/x=(1/4)(1/2)-3/8
1/x=2/8-3/8

Step 3: Subtract
1/x=-1/8

Step 5: Multiply by x on both sides
1/x(x)=-1/8(x)
1=-1/8x

Step 6: Divide -1/8
1/(-1/8)=-1/8x/(1/8)
*You can times flip
1(-8)=-1/8x(8)
-8=-x
*Divide by -1
-8/-1=-x/-1
8=x

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A triangle has two sides of lengths 7 and 12 what value could the third side be?

Answers

a,b,c- sides\ of \ triangle\n\nConditions\ for\ triangle \existing\n\na+b>c\nb+c>a\na+c>b\n\n\ a=7\nb=12\n\n1.\n7+12>c\ \ \ -->c<19\n2.\n12+c>7\ \ \ -->c>7-12\ \ c>\ -->-5\n3.\n7+c>12\ \ -->c>12-7\ \ -->c>5\n\nProduct \ of\ all\ conditions\n c\in(5,19)

For a quantity that changes frequently from month to month, the best kind of graph is a pie chart. a. True
b. False

Answers

For a quantity that changes frequently from month to month, the best kind of graph is a pie chart.a true

it is false. God bless u and vote for trump!

Solve the equation: √x+1 = x-1

Answers

√(x+1) = x - 1 \n \n x + 1 = (x - 1)^2 \n \n x + 1 = x^2 - 2x + 1 \n \n x = x^2 - 2x \n \n x - x^2 + 2x = 0 \n \n 3x - x^2 = 0 \n \n x(3 - x)= 0 \n \n x = 0,3 \n \n x = 0 \ is \ false \n \n x = 3

The final result is, x = 3.

The solutions we gather were x = 0,3. 
We dropped x = 0 from the equation since it does not become true, so we are left with x = 3. 
√x + 1 = x - 1
           ↓
      √x = x - 1 + 1
           ↓
      √x = x

Since 1 is the only real number whose square root equals itself, we can safely assume that x = 1.
Hope that helped! =)

Mrs. Moore's class is conducting an experiment to find the probability of pulling certain colors from a bag of 25 marbles. If 8 are purple, 3 are yellow, 6 are green, and the rest are black, what is the probability of drawing 2 black if the marbles are not replaced after they are picked? Show answer as a percent rounded to nearest hundredth, if necessary.A. 8.96%
B. 10.24%
C. 9.33%

Answers

8/25×7/24=0.09333×100=9.33%

PLEASE HELP! In quadrilateral MNOP, ∠M ≅ ∠N. Quadrilateral MNOP could be a:

I. trapezoid II. rhombus III. parallelogram


A) III only

B) II or III

C) I, II, or III

D) I or II

Answers

C

because a quarteratrall is a shape with 4 sides a rhombus has 4 sides a trapezoidal has 4 sides and a paralleagram two be a shape it has to have four sides or else it wont be a parallel

Answer:

C

Step-by-step explanation:

prove algebraically that the straight line with the equation x=2y+5 is a tangent of the circle with the equation x^2+y^2=5

Answers

Answer:

Step-by-step explanation:

To prove the straight line is tangent to the circle:

  1. substitute the straight line into the circle equation
  2. discriminant of the new equation has to be equals to 0

(1)

substitute x = 2y + 5 into x² + y² = 5

x² + y² = 5

(2y + 5)² + y² = 5

4y² + 20y + 25 + y² = 5

5y² + 20y + 20 = 0

y² + 4y + 4 = 0

(2)

discriminant of y² + 4y + 4 = 0 has to be equals to 0

\boxed{D=b^2-4ac}

D = 4² - 4(1)(4)

D = 0

∴ Proven
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