MATHEMATICS COLLEGE

Which of the following constants can be added to x2 + x to form a perfect square trinomial?

Answers

Answer 1

Answer:

Answer:

x^2+x + 1/4

Step-by-step explanation:

x^2+x

Take the coefficient of x

divide by 2

1/2

Square it

(1/2)^2 = 1/4

Add this to make a perfect square trinomial

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Which Number Is Rational?

Answers

Answer:

A. 0.333...

Step-by-step explanation:

Any repeating decimal can be written as a ratio of two integers, hence is rational. 0.333... = 1/3

The last offering appears to be a non-repeating infinite-length decimal, hence is irrational.

Of course π is irrational, as is the square root of any integer that is not the square of an integer.

Using the diagram below, what is the measure of ZE?

Answers

Answer:

Step-by-step explanation:

Think of line AE as a transversal. with DE and AB cutting across it. If we draw it out, looking at the picture, we can see that angles A and E correspond, meaning that angle A = angle E = 50

Select the correct answer. Martin runs 100 meters in 15 seconds. What is the equation for d, the distance in meters that Martin covers per second? O A. 15+ d = 100 B. 100 + d = 15 O c. dx 15 = 100 D. d x 100 = 15

Answers

Answer:

C) d*15=100

Step-by-step explanation:

The word problem already gives us the product or the end result “Martin runs 100 meters in 15 seconds. So the 100 has to be equal to the expression.

=100

“Per second” this suggests that we should multiply

the most logical answer is d*15=100 or dx15=100

M(8, 7) is the midpoint of RS. The coordinates of S are (9, 5). What are the coordinates of R?

Answers

Answer:

M(Mx, My), R(Rx, Ry), S(Sx, Sy)

M is midpoint of RS

=> Rx + Sx = 2Mx => Rx = 2Mx - Sx = 2 x 8 - 9 = 7

=> Ry + Sy = 2My => Ry = 2My - Sy = 2 x 7 - 5 = 9

=> R(7, 9)

Hope this helps!

Answer:

(7,9)

Step-by-step explanation:

Let R:(x,y)

(x+9)/2, (y+5)/2 = 8 ,7

x + 9 = 16

x = 7

y + 5 = 14

y = 9

R: (7,9)

Find the slope of the line that contains the following points ( -3 , 7) and (8, -2)

Answers

Answer:

-9/11

Step-by-step explanation:

The slope of a line given two points is

m = (y2-y1)/(x2-x1)

= (-2-7)/(8--3)

= (-9)/(8+3)

=-9/11

Hope this helped you. :)

Simplify the expression 7(1 +5v) =

Answers

the answer is 7 + 35v

Answer:

7 + 35v

Step-by-step explanation:

7 × 1 + 5v × 7

7 + 35v

Hope this helps and have a nice life d:

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