MATHEMATICS HIGH SCHOOL

Find the product.(-d + 4)(-d - 4)
-d2 - 16
d2 - 16
d2 + 16
d2 - 8d - 16

Answers

Answer 1
Answer: (-d + 4) (-d - 4) = 0
-d(-d - 4) + 4(-d - 4) = 0
d² + 4d - 4d - 16 = 0 
d² - 16 = 0   2nd choice.

We can find the value of d. 
d² - 16 = 0
d² = 16
√d² = √16
d = 4

to check:
(-4+4) (-4 - 4) = 0
0 (-16) = 0
0 = 0

Multiplication property of 0. Any number multiplied by 0 is equal to 0.

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What number can be subtracted from both the numerator and the denominator of this fraction to produce the fraction on the right? 34/53 -?=1/2

Answers

(34-x)/(53-x)= (1)/(2) \ \ \ \Leftrightarrow\ \ \ 53-x=2(34-x)\ \ \wedge\ \ \ x \neq 53\n \n53-x=68-2x\n \n-x+2x=68-53\n \nx=15\n \ncheck\ result:\n \n (34-15)/(53-15) = (19)/(38) =(1)/(2)

Explain how to divide 0.27 by 0.03

Answers

You have to convert the divider into a integer number, so in this case multiply 0.03x100 and you get 3, then multiply 0.27 by the same number 0.27x100= 27. Now, you have to do the division normally 27/3 = 9

The area of a square piece of land in square units can be represented by the expression 9q4r8s6. What is the length of one side of the piece of land?3q2r6|s3| units
3q2r4|s3| units
18q8r16s12 units
81q8r16s12 units

Answers

Knowing that the area of a square is equivalent the square of its side length, the length of one side can be calculated by taking the square root of the area. The square root of the expression 9q^4r^8s^8 units is equivalent to 3q2r4|s3|units. When taking the square root of variables, the power they are raised to is divided by 2.

Answer:

B

Step-by-step explanation:

its just the answer dude

Segment CD is given with vertices C(a,b) and D(2a,b). Find the length of segment C'D', the image of segment CD after a dilation with a scale factor of 2.

Answers

the dilation is a scale factor of 2, that is:

C'D' = 2(CD)

the length of CD is given by:
CD = √( (a - 2a)^2 + (b - b)^2 )

CD = √(a^2) = a

hence the new segment is 2a long.

5x + 3 = x + 11
Please help fast thankyou

Answers

Answer:

x = 2

Step-by-step explanation:

5x + 3= x + 11

5x - x = 11 - 3

4x = 8

x = 2

I need help with this math question on my study guide!Sadly, I do not remember how to do this and I would greatly appreciate any help you can offer.

Answers

Sadly is right.  You must have practiced this stuff in middle school
until it was coming out of your ears.  Fortunately, you have a chance
to relearn it now.  You should do that ... it'll be important in any math
course you ever take.

'm' is the slope of the line on the graph.

The slope is

                (the change in 'y' between any two points on the line)
divided by
               (the change in 'x' between the same two points).

You can choose any two points on the line, and the slope is always the same.

To make it easy, look at the two points on this graph where the line crosses
the x-axis and the y-axis.

Going between these two points ...
-- the line goes up, from  y=0  to  y=4.  The change in 'y' is  4 .
-- the line goes to the right, from  x=-2  to  x=0.  The change in 'x' is  2 .

           'm' = the slope  =  (4)/(2)  =  2 .

The  "y-intercept"  is the place where the line crosses the y-axis.
On this graph, that's the point where  y=4 .

The equation of EVERY straight line on ANY graph is:

                 Y  =  (the slope) times 'x'  +  (the y-intercept) .

So the equation of THIS line on THIS graph is

                 Y = 2x + 4 .
 
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