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4 years ago

What is the simplified form of the following expression?

Mathematics

1 answer:

madam [21]4 years ago

6 0

Answer:

B. 242

Step-by-step explanation:

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X Table: -3 | 0 | 3 | 6

bazaltina [42]

Answer:

The formula to find the slope with given points is: Y2-Y1 over X2-X1.

Step-by-step explanation:

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3 years ago

Question 1 (5 points)

Sonja [21]

Answer:

Step-by-step explanation:

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3 years ago

2x-y=-1 , 3x-y=2 solve by substition

Mazyrski [523]

Answer:

x = 3, y = 7

or (3,7)

Step-by-step explanation:

We are given the system of equations below:

$\large{ \begin{cases} 2x - y = - 1 \\ 3x - y = 2 \end{cases}}$

We are required to solve the system by substitution method. What we have to do is to isolate either x-term or y-term so we can use the method. I will be isolating y-term because it is faster due to having 1 as a coefficient.

By isolating y-term, just pick one of the given equations to isolate. No need to isolate the whole system. (I will be isolating y-term of the first equation.)

$\large{ \begin{cases} y= 2x + 1\\ 3x - y = 2 \end{cases}}$

Then we substitute y = 2x+1 in the second equation.

$\large{3x - (2x + 1) = 2}$

Use the distribution property.

$\large{3x - 2x - 1 = 2}$

Isolate x-term to solve the equation.

$\large{x = 2 + 1} \\ \large{x = 3}$

Since we are solving a system of equations. We have to solve for both x-value and y-value to complete. We have already found x-value, but nor y-value yet. Therefore, our next step is to substitute the value of x that we solved in any given equations. It's recommended to substitute in an equation that doesn't have high coefficient value. So I will be substituting x = 3 in the first equation.

$\large{2x - y = - 1} \\ \large{2(3) - y = - 1} \\ \large{6 - y = - 1}$

Isolate and solve for y-term.

$\large{6 + 1 = y} \\ \large{7 = y} \\ \large{y = 7}$

Since we substitute x = 3 and get y = 7. We can write in ordered pairs as (3,7)

Hence, the solution is (3,7)

7 0

3 years ago

Find the measure of the arc or angle indicated.<br> Find the meausre of arc HG.

devlian [24]

Answer:

the measure of arc HG is 136

8 0

3 years ago

On a map of the city, 8th Street is a line segment from point (1,4) to point (6,9). J Street is a line segment that starts at (4

Dominik [7]

The intersection of 8th street and J street can be determined by setting up an equation for each line segment given the points mentioned above. Note that the equation of a line can be obtained from two points such that:

y - y1 = m(x-x1), where m = (y2-y1)/(x2-x1)

For instance, the equation for 8th street is given by: y - 4 = [(9-4)/(6-1)]*(x-1). On the other hand, the equation for J street is given by: y + 14 = [(4+14)/(-5-4)]*(x-4). Simplifying the 2 equations we get: Eqn. (1) y = x + 3 and Eqn. (2) y = -2x - 6

Solving the 2 equations simultaneously, we obtain x = -3, y = 0. Thus, if the city council extends 8th street in a straight line, it will intersect J street at (-3,0).

8 0

3 years ago