The equation of a line is y=2/3x+5. What is an equation of the line that is perpendicular to the given line and that passes through the point (4,2)?

Answers

Answer 1

Answer: The gradient of this line is 2/3 so the gradient of the perpendicular line is -3/2 (the two perpendicular gradients must multiply to get -1).

Using the formula y - y1 = m (x - x1):

y-2=-1.5(x+4)

This can be rearranged to:

2y-4=-3x-6
2y+3x=-2

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There is a school with 1,000 students and 1,000 lockers. On the first day of term the headteacher asks the first student to go along and open every single locker, he asks the second to go to every second locker and close it, the third to go to every third locker and close it if it is open or open it if it is closed, the fourth to go to the fourth locker and so on. The process is completed with the thousandth student. How many lockers are open at the end?

Answers

As many were opened during the time period. Jk, I don't know. This is a hard one

Hello,

answer: 31

I have make a programm in Qbasic

CONST Faux = 0
CONST Vrai = NOT (Faux)
CONST nb = 1000
DIM SHARED locker(nb) AS INTEGER
DIM i AS INTEGER, j AS INTEGER, answer AS INTEGER
'1 first student
FOR i = 1 TO nb: locker(i) = Vrai: NEXT i: ' CALL See
'2 2nd student
FOR i = 2 TO nb STEP 2: locker(i) = Faux: NEXT i: 'CALL See
FOR j = 3 TO nb
    FOR i = j TO nb STEP j
        locker(i) = NOT (locker(i))
    NEXT i
    'CALL See
NEXT j
answer = 0
FOR i = 1 TO nb
    IF locker(i) THEN answer = answer + 1
NEXT i
PRINT "answer="; answer
END

SUB See

SHARED locker() AS INTEGER
DIM i AS INTEGER
locker(0) = 0
FOR i = 1 TO nb
    PRINT locker(i);
    IF locker(i) THEN locker(0) = locker(0) + 1
NEXT i
PRINT locker(0)

END SUB

Find the limit. lim (x-5)/((x^2)-25) x-> 5+

Answers

$\lim_(x \to 5) (x-5)/( x^(2) -25) =( (0)/(0) ) = \n =\lim_(x \to 5) (x-5)/((x-5)(x+5))= \n =\lim_(x \to 5) (1)/(x+5)= \n = (1)/(5+5)= (1)/(10)$ = 0.1

PLEASE HELP!!!!!!!! A cardboard box is 32 centimeters long, 15 centimeters wide, and 6 centimeters tall. The box does not have a top. How much cardboard was used to make the box?

Answers

Answer:

1044 cm²

Step-by-step explanation:

Since the box doesn't have the top, the total surface area includes 4 sides and the bottom.

S = 32(15) + 2(32 + 15)(6) = 1044 cm²

Cardboard used is 1044 cm²

The slope is 2 the points are (1,1). Déterminé the equation

Answers

Use the point-slope formula for the eqn of a str line:

y-1 = 2(x-1)

This becomes y = 1+2(x-1) = 1 + 2x - 2 = 2x - 1,

so the simplest form of the desired eqn is y = 2x - 1.

Prove the logarithm of 100 is 2

Answers

Because 10^2 is 100, the natural logarithm of 100 is 2 by the basic definition of logarithms.

Are the expressions (4x)^2 and 4x^2 equal in value? How would you explain your answer?

Answers

understand pemdas
parenthasees
exponenets
multiiplication or dividsion
additon or subtraction

(4x)^2=4x times 4x
4x^2=4 times x times x=4(x^2)

(4x)^2=16x^2
4x^2=4(x^2)
values are not equal
(just for fun: 4x^2=(2x)^2)

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