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2 years ago

Express as a single power.

Mathematics

1 answer:

Nina [5.8K]2 years ago

5 0

a) 1

b) -5

c) $\frac{6^3.6^5}{6^2.6^4} = \frac{6^{3+5} }{6^{2+4} } = \frac{6^8}{6^6} = 6^{8-6}=6^2$

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This is the one and i know its probably super easy but i dont know

DENIUS [597]

Step-by-step explanation:

this one is a "thousand times" more complex than the inequality question to put there.

still easy, yes, for an experienced person, but here it is clear you need to understand lines, coordination grids, and overall deal with 2 variables (here : x and y) and therefore 2 dimensions.

the general line function is typically presented as

y = ax + b

a is the slope. that is the ratio of "y coordinate change / x coordinate change" when going from one point on the line to another.

and b is the y-intercept (the y value when x = 0), giving us the information about the point, where the line crosses the y-axis.

and so, look for yourself, which of the 4 equations has a b of +3 ?

y = 3x no, b = 0

y = x + 3 yes, b = 3, this is correct

y + 3 = x hmm. let's first bring it into the normed form

y = x - 3 aha ! no, b = -3

y = x - 3 no, the same thing as before. b = -3

3 0

2 years ago

Ill give brainliest pls help i am so stuck

jok3333 [9.3K]

Answer:

Part A:

Since the slopes of the lines are not equal, the pair of equations for lines A and B will have one solution.

Part B:

(3 ,5 ) is the solution to the equations of lines A and B.

Step-by-step explanation:

Part A:

We are required to determine the number of solutions that the pair of equations for lines A and B have. To do this, we shall determine the slope of each line;

A straight line labeled A joins the ordered pair 2, 6 with the ordered pair 6, 2. The slope is defined as;

(change in y) / (change in x)

The slope of line A is thus;

(2 - 6)/(6 - 2) = -1

A straight line B joins the ordered pair 0, 3 with the ordered pair 4.5, 6.

On the other hand, the slope of line B is;

(6 - 3) / (4.5 - 0) = 2/3

Since the slopes of the lines are not equal, the pair of equations for lines A and B will have one solution.

Part B:

What is the solution to the equations of lines A and B?

We first need to determine the equation of each line;

Line A, the slope was found to be -1 and the line passes through (2,6)

The equation of the line in slope intercept form is;

y = -x + c

6 = -2 + c

c = 8

y = -x + 8

On the other hand, the slope of line B was found to be 2/3 and the line passes through (0,3). Therefore, we have;

y = 2/3x + c

3 = 2/3 (0) + c

c= 3

y = (2/3)x + 3

The graph of these two lines is shown in the attachment below. The lines intersect at (3 ,5 ) which is the solution to the equations of lines A and B.

The graphical solution to a system of linear equations is given by the point of intersection of the two lines representing each equation.