Hi Pamela,   find the equation of the line that passes through points (-9, 4) and is perpendicular to f(x) + 5x + 9 please help     I am guessing that the function is f(x)=5x+9. A line that is perpendicular has a slope that is the negative reciprocal...

Hi Tyler,   How to solve Pythagorean identities (1+tan2x)/csc2 x     The Pythagorean Theorem is: sin2 x +cos2 x =1   If you divide each term by cos you get:   tan2 x +1 = sec2 x     For your problem (1+tan2x)/csc2...

Hi Devaughn,    A positive number plus it's reciprocal is twice the original number. What is the number?   The reciprocal of a number x is 1/x   Let x= the positive number The reciprocal =1/x   x +1/x=2x     Multiply...

Hi Kim,     What are the intercept and y intercept of the equation, 4x +3y=12   Kim this linear equation is in Standard Form:  Ax+By=C  where A, B and C are integers and A>0   There are two ways to find the y-intercept   1...

Hi Lily,   y2+13a+30 I need help factoring this trinomial.♥   y2+13a+30   Since the sign of the last term is positive, the sign of both factors must be the same. Since the sign of the middle term is positive, then both factors are positive...

Hi Alex,   P=2l +2w If l=3.75 and P= 12.26. Solve for w   Substitute values into the given formula   12.26=2(3.75)+2w 12.26=7.5+2w 4.76=2w 2.38=w   ANSWER:  w=2.38   hope this helps you...

Hi Uriah,   Simplify the problem Simplify: x 5/3 __________________ [ x 1/3 (x 1/5)5] 3/4 ------> try to picture the numbers in fraction form like 5 over 3 and the x's are beside the fraction. The answer choices are: A. x3/5 B. x C. 5√x3 D. x2/3    ...

Cady,   58/5723  will be a decimal   .010135

Hi Robb,   a manager pays servers 8.50 per hour and bussers 5.50 per hour. The manager needs 8 people staffed on Saturday nights but can only afford to pay a total of \$59 per hour for staffing.   This can be solved using a system of equations.   Let s = servers let...

Hi Yo,   Solve the quadratic equation by completing the square. 9x2-16=0   For this problem, the quadratic is able to be factored.  It is the difference of perfect squares. a2-b2=(a+b)(a-b) 9x2-16=0 (3x+4)(3x-4)=0  Using the Zero Product Property,...

Hi Carolyn,   Solve for the variable and express the answer in set notation: |4x+5|=26-3x   for absolute value you need to have two equations:  one for the positive and one for the negative   4x+5=26-3x 7x+5=26 7x=21 x=3   -(4x+5)=26-3x -4x-5=26-3x -5=26+x -31=x   Check:...

Hi Angel,   Every sunday john goes to church from his home. He moves 13 miles south and then he moves 2 miles east. How much distance is between home and church?   What will help you is drawing a diagram.   HOME | | | | 13 | |...

Hi Cooper,   Write the slope-intercept form of the equation of the line through the given points through: (0,1) and (-3,-4)   slope intercept form is y=mx+b where m is the slope and b is the y-intercept. first we find the slope:   1-(-4) ------ 0-(-3)   5 -- 3   does...

Hi Josie,   tan ? =-1 is this possible Is this even possible   Yes Josie this is possible.   In quadrant I, the tan 45°=1 The sin 45°=√(2)/2 The cos 45°=√(2)/2   The tan 45°=sin 45°/cos 45°=1   So now you need to think:...

Hi Troy,   Warren is painting his house using a 20 foot ladder. The ladder makes a 60 degree angle with the ground. How high up on the house is the top of the ladder? I haven't really gotten the hang of Triangles, kinda struggling on it.   Troy, it is a very good idea...

Hi Michael,   Audra is making flyers for the school fundraiser. Each flyer is rectangular and has an area of 32 square inches and the length is 4 inches more than the width. Find the length and width of the flyers.   The area of a rectangle is A=lw   Let w=...

Hi Kayla,   Cameron has 11 adult fantail goldfish Cameron has 11 fantail goldfish. This is 7 fewer Fantail goldfish than his friend Julia has. Write and solve a subtraction equation to determine the number of fantail goldfish g that Julia has.   Let x= the number of...