A right triangle is shown. Which angle measure is closest to the value of x ?

A 43.9°
B 44.3°
C 35.7°
D 46.2°

Answer:

Permutation

Step-by-step explanation:

Since we are talking about passwords the order of the letters matters, i.e, the pasword UpT is different to the pasword pUT. Therefore, the problem involves all the permutations of 33 letters, from the given letters, where no repetitions of letters are allowed.

Answer:

y = - x +

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given the line with equation

y = - x + 7 ← in slope- intercept form

with slope m = -

• Parallel lines have equal slopes , then

y = - x + c ← is the partial equation of the parallel line

to find c, substitute the point (3, 3 )  for x/ y into the partial equation

3 = - (3) + c = - + c ( add to both sides )

+ = c , that is

c =

y = - x + ← equation of parallel line

Final answer:

The equation of the line passing through point (3,3) and parallel to y = -(1/6)x + 7 is y = -(1/6)x + 3.5, which is achieved by knowing that parallel lines have the same slope and substituting the coordinates of the given point into the y = mx + b (slope-intercept form) and solving for the y-intercept 'b'.

Explanation:

The question asks for an equation of a line that is parallel to the equation y = -(1/6)x + 7 and also passes through the point (3,3). First, it's significant to understand that parallel lines share the same slope. Looking at the equation y = -(1/6)x + 7, we can see that the slope, or 'm' value, is -1/6. Therefore, the slope of our new line will also be -1/6. The conventional form of the equation for a line is y = mx + b where m is the slope and b is the y-intercept. Since we know the slope and have a point that lies on the line, we can substitute these values into this formula to solve for 'b'.

Here's how we do it:

First, substitute the point's coordinates into the equation for the line: 3 = (-1/6)*3 + b

This simplifies to: 3 = -1/2 + b

Then solving for 'b', we get: b = 3 + 1/2 = 3.5

Therefore, the equation of our new line that is parallel to the original line and passes through the point (3,3) is y = -(1/6)x + 3.5.

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Answer:

The next number in the sequence is 1/9

Step-by-step explanation:

The sequence you present is a geometric sequence. Geometric sequences are sequences in which successive terms are increases/decreases of an initial number by a common constant factor and are defined as

An= A0*r^(n-1)

The nth term of the sequence is the first term A1 multiplied by a common factor r.

In your problem A1 is 9. The common factor between terms is 1/3 because

9* (1/3) = 9/3= 3

3* (1/3) = 9/3= 1

1* (1/3) = 1/3= 1/3

So the fifth term n= 5 is

An= A0*r^(n-1)

A5=9*(1/3)^(5-1) =9*(1/3)^(4) =9*(1/81)=9/81= 1/9

The answer is 1/9

The next number in the sequence is 1/9.

The sequence provided is 9, 3, 1, 1/3. To identify the pattern and find the next number in the sequence, we observe that each subsequent term is obtained by dividing the previous term by 3.

9 ÷ 3 = 3

3 ÷ 3 = 1

1 ÷ 3 = 1/3

Therefore, the pattern suggests that we should divide the last term, 1/3, by 3 to find the next number:

(1/3) ÷ 3 = 1/9

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Answer:

Part A- wrong step number 2 by Malia

Part B - Only 1 solution

Step-by-step explanation:

Given steps are :

Step 1: 6x = 48

Step 2: x = 48 – 6

Step 3: x = 42

Part A:

The second step is wrong. Malia subtracted 6 from 48, but she should not have done it. She should have divided both sides by 6, to get the value of 'x' which is 8.

The correct step should be :

Divide both sides by 6,

Part B:

The equation has only 1 solution.