Solution to question by Jessica

Q.     A=1/2h(B+b); A=63, B=6, b=3.  Help me solve step by step please

This is the equation for area of trapezoid.

A= (1/2)*h*(B+b)

2A=h*(B+b)

substituting given values in this equation we get,

2*63 = h(6+3)

126=9h

h=126/9

h=14

Hope this helps! LEt me know if you have any questions.

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Q by Amanda

Suppose the slope of line AB is greater than 0 and less than 1. What inequality represents the slope of a line perpendicular to line AB

lets say slope of AB is m and slope of the line perpendicular to AB is m1

0<m<1

Slope of the line perpendicular to AB will be negative reciprocal of m.

So

0<m1<-1

Consider the equation y = 2x + 5 . Slope of this line is 2.

Line perpendicular to this is x+2y = -2

2y = -2-x

y = -x/2 -1

So slope of this line is -1/2 which is negative reciprocal of y =2x+5!!

Hope this helps. If you have any question please write me back. Please subscribe to my blog for further help!!

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Quesion by Alexandra

Which two values of x are roots of the polynomial below? x^2-11x+17 please explain

Hi Alexandra,

To solve this is a quadratic equation ang you can use a quadratic formula to find roots.

Here is the formula  x = [-b +/- ( b^2 – 4ac) ] / 2a

In this case b= -11, a =1 and c = 17 (compare your equation with ax^2 +bx +c)

putting these values in the formula and solving we get x = [11 +/- sqrt(53)]/2 =  [11 +/- 7.28]/2

x =  1.86 and x = 9.14

Hope this helps. Let me know if you need any further explanation. Thanks!

 

 

 

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Q by Angel

The ratio of the areas of two similar polygons is 225:36. What is the ratio of their corresponding sides?

Ans: The ratio of the areas of the two polygons is the square of the ratio of the sides.

Ratio of area of polygons is 225:36 So the ratios of their corresponding sides is sqrt(225:36) = 15:6

Hope this helps.🙂

~Sana

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Q by Mario

x-7y=-17

This is a linear equation.

Lets isolate x first,

x = -17 + 7y

Put this value of x in the original eqn to check if the value of x is right

-17+7y -7y = -17

17 = 17

So x – -17+7y

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Question by Alberto

i dont get this heres my question. indicate the solution for each system and classify each system as consistent or inconsistent, and dependent or independent.
y-2x=4
x+y=1
and heres another one
3x+y=4
y+3x=4

Answer: The equations of a linear system are consistent if they possess a common solution, and inconsistent otherwise.

i) y-2x=4 —>a
x+y=1—–> b

subtracting a from b we get –> x = -1 putting this value of x in b we get y =2

Thus this system has a solution and is consistent.

ii) 3x+y=4 —>a
y+3x=4 —> b

If we subtract a from b we get 0 = 0 which is a false statement thus system has no solution and is inconsistent.

Hope this helps.

Thanks,

Sana

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Hi I am back!

Hello everyone.. I am sorry that I was not able to help you guys with your questions for past month. I have been super busy at work. But now i have some free time so please feel free to ask any math related questions and I will get back to you with answers🙂

Thanks and I appreciate your interest.

love

Sana

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