MATHEMATICS HIGH SCHOOL

Not all rectangles have a. diagonals that bisect each other.
b. diagonals that are congruent.
c. four congruent sides.
d. consecutive angles that are supplementary.

Answers

Answer 1
Answer: I think the answer is d.

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A dripping faucet wastes a cup of water if it drips for four minutes

Answers

true. constant flow of water.
Huh. 
What is the question?

A line passes through the points (8, 7) and (5, 1). What is its equation in slope-intercept form?

Answers

Answer:

y=2x-9

Step-by-step explanation:

The slope is 2 and the y-intercept is -9

Answer:

y = 2x - 9

Step-by-step explanation:

Y2 - Y1/X2 - X1

7 - 1/8 - 5

6/3

= 2

y = 2x + b

1 = 2(5) + b

1 = 10 + b

-9 = b

y = 2x - 9

rashid bought some baseball cards. after giving 7 cards to hos friend grace, he arranged the remaining cards in 6 rows of 4. how many cards did he buy?

Answers

35 cards. 7 X 4 = 28. Add the 7 he gave to his friend, and you get 35.

How would you put this expression in factored form? 4x2 + 11x + 6

Answers

we have

4x^(2) +11x+6

Equate the expression to zero

4x^(2) +11x+6=0

Group terms that contain the same variable, and move the constant to the opposite side of the equation

4x^(2) +11x=-6

Factor the leading coefficient

4(x^(2) +(11x/4))=-6

Complete the square. Remember to balance the equation by adding the same constants to each side

4(x^(2) +(11x/4)+(121/64))=-6+(121/16)

4(x^(2) +(11x/4)+(121/64))=(25/16)

(x^(2) +(11x/4)+(121/64))=(25/64)

Rewrite as perfect squares

(x+(11/8))^(2)=(25/64)

Square root both sides

x+(11/8)=(+/-)\sqrt{(25)/(64)}

x=(-11/8)(+/-)(5)/(8)

x=(-11/8)+(5)/(8)=-(6)/(8)=-(3)/(4)

x=(-11/8)-(5)/(8)=-(16)/(8)=-2

therefore

4x^(2) +11x+6=4(x+(3)/(4))(x+2)=(4x+3)((x+2)

the answer is

(4x+3)((x+2)

Answer:

Its (4x+3)(x+2) 100%

Step-by-step explanation:

To determine the appropriate landing speed of an airplane, the formula D = .1x 2 − 3x + 22 is used, where x is the initial landing speed in feet per second and D is the distance needed in feet. If the landing speed is too fast, the pilot may run out of runway; if the speed is too slow, the plane may stall. What is the appropriate landing speed if the runway is 800 feet long? Show all of your work or explain how you came up with your solution

Answers

800=0.1x^2-3x+22\n0.1x^2-3x-778=0\n\Delta=(-3)^2-4\cdot0.1\cdot(-778)=9+3112=3121\n√(\Delta)=√(3121)\nx_1=(-(-3)-√(3121))/(2\cdot0.1)=(3-√(3121))/(0.2)=15-5√(3121)\approx-264.3\nx_2=(-(-3)+√(3121))/(2\cdot0.1)=(3+√(3121))/(0.2)=15+5√(3121)\approx294.3

Approx. 294.3 ft/s

Which function has an inverse that is a function? b(x) = x2 + 3
d(x) = –9
m(x) = –7x
p(x) = |x|

Answers

On the attached diagram you can see all graphs of functions b(x), d(x), m(x) and p(x).

Finding the inverse of a function f(x):

1. First, replace f(x) with y. This is done to make the rest of the process easier.

2. Replace every x with a y and replace every y with an x.

3. Solve the equation from Step 2 for y. This is the step where mistakes are most often made so be careful with this step.

4. Replace y with f^(-1)(x). In other words, you’ve managed to find the inverse.

5. Remember: the domain of f is the range of f^(-1) and the range of f is the domain of f^(-1).

Using this algorithm, you can find the inverse only in case C:

for m(x)=-7x:

1. y=-7x.

2. x=-7y.

3. y=-x/7.

4. m^(-1)(x)=-(x)/(7).

5. The domain and the range of m(x) are all real numbers as well as the domain and the range of m^(-1)(x).

Functions b(x) and p(x) are not one-to-one functions (see attached diagram), then you can't find an inverse function. Function d(x) doesn't include x, then you can't also find an inverse function.
Hello,

Answer C

y=-7x ==>x=-7y==>y=-x/7 is the inverse of m(x)
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