What is perpendicular?

Answers

Answer 1
Answer:

Answer:at an angle of 90° to a given line, plane, or surface.

Step-by-step explanation:


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If f(x) = 4x − 6 and g(x) = 6x − 4, what is f · g?

Can someone please help me with these two questions

Answers

the # 1 the answer is A
      # 2                      C
The answer is X=6,-6 u just have to foil it out (X-6)(x+6)=0 X-6=0 X+6=0 X=6,-6

Simplify (-2)(-3)^2 -2(2 - 5)

Answers

When solving this problem, PEMDAS is a key component. What is PEMDAS?
PEMDAS stands for the following:
P- Parentheses
E- Exponents
M-Multiplication
D- Division
A-Addition
S-Subtraction
This is also known as order of operations. Following this order, we can easily simplify the problem.

P-Parentheses
(-2)(-3)^2-2(2-5)
Our parentheses is (2-5). We can simply this to -3. Our problem now is
(-2)(-3)^2-2(-3)

E-Exponents
We have one set of exponents in this. It is -3^2. This simplifies to 9. Our problem now is
(-2)(9)-2(-3)

M- Multiplication
We can simply to.
-18+6

These simplifies into
-12


Final answer:

To simplify the expression (-2)(-3)^2 - 2(2 - 5), you perform the calculations step by step. The final result is -12.

Explanation:

To simplify the expression (-2)(-3)^2 - 2(2 - 5), we perform the calculations step by step:

  1. First, we calculate (-3)^2, which is equal to 9.
  2. Next, we substitute the values in the expression: (-2)(9) - 2(2 - 5).
  3. Then, we simplify the expression inside the parentheses: (-2)(9) - 2(-3).
  4. Multiplying -2 by 9 gives us -18, and multiplying 2 by -3 gives us -6.
  5. Finally, we subtract -6 from -18 to get the final result, which is -12.

Therefore, the simplified expression is -12.

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Lorenzo is a salesman whose base pay plus commissions amounted to $53,393 last year. If his base pay was $24,650 and he made $87,100 in sales last year, what was his rate of commission?A. 33%

B. 28%

C. 46%

D. 61%

Answers

Since, a salesman whose base pay plus commissions amounted to $53,393 last year. If his base pay was $24,650 and he made $87,100 in sales last year. We have to evaluate the rate of commission.

Let the rate of commission be 'r%'.

Therefore,

24,650 + (87,100 of r%) = 53,393

24,650 +(87,100 * (r)/(100))= 53,393

(87,100 * (r)/(100))= 53,393-24,650

(87,100 * (r)/(100))= 28,743

87,100 * {r}= 28,743 * 100

87,100 * {r}= 2874300

{r}= (2874300)/(87100)

r  = 33%

Therefore, the rate of commission is 33%.

33%
The Answer is Choice D.

What is the answer 3.5r=3(4+.5r)?

Answers

3.5r=3(4+0.5r)\n\n3.5r=3*4+3*0.5r\n\n3.5r=12+1.5r\ \ \ \ \ |substract\ 1.5r\ from\ both\ sides\n\n2r=12\ \ \ \ \ \ |divide\ both\ sides\ by\ 2\n\nr=6
The 'answer' is the number that 'r' must be in order to make the equation a true statement.  There's only one number that can do it.  Here's how to find it:

Copy the equation:              3.5r = 3(4 + .5r)

Expand the right side:          3.5r = 12 + 1.5r

Subtract 1.5r from each side:  2r = 12

Divide each side by 2 :            r = 6

How many hundredths are in one tenth? Explain using pennies and dimes.

Answers

Answer:

11 ways

100 Pennies & 0 Dimes

90 Pennies & 1 Dimes

80 Pennies & 2 Dimes

70 Pennies & 3 Dimes

60 Pennies & 4 Dimes

50 Pennies & 5 Dimes

40 Pennies & 6 Dimes

30 Pennies & 7 Dimes

Step-by-step explanation:

Final answer:

There are 10 hundredths in one tenth. This can be understood by considering that a dime, representing one tenth of a dollar, is equivalent to 10 pennies, each penny representing one hundredth of a dollar.

Explanation:

In terms of decimals, one tenth is represented as 0.1 and a hundredth is represented as 0.01. Given this, there are 10 hundredths in one tenth (because 0.1 divided by 0.01 equals 10). To understand this using pennies and dimes, consider one dime (which represents one tenth of a dollar) and a penny (which represents one hundredth of a dollar). As there are 10 pennies in a dime, we can conclude that there are 10 hundredths in one tenth.

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the price of gravel is $24 for every 3/8 ton. Kate wants to know the price of 2 tons of gravel. at that rate, what is the price of 2 tons of gravel

Answers

Answer:

$128

Step-by-step explanation:

This problem is on rate.

firstly we have to find the rate at which 1 ton is sold

given that 3/8 ton is sold for $24

hence 1 ton will be sold for X

cross multiply

X = 24/3/8

inverse the denominator and multiply the result with the numerator we have

X= 24*8/3

X= $64

Now having found out that 1 ton cost $64

2 tons will cost =64*2

                         = $128

Therefore at this rate two tons will cost $128

Answer:128

Step-by-step explanation: