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4 years ago

"Consider The Equation 6x - 3y= 12. What Is The Slope Graph Of This Equation?"

1 answer:

4 0

Right now, we are given the standard form of the line: ax + by = c
a = 6, b = -3, c = 12
If we use algebra to to change it into its point-slope form, we can easily identify the slope of the equation.
6x - 3y = 12
-3y = 12 - 6x
- 3y = -6x + 12
3y = 6x - 12
3y/3 = (6x - 12)/3
y = 2x - 4
Now the equation is in point-slope form: y = mx + b where m is the slope.
Since m=2, the slope of the line is 2.

A shortcut to find the slope of a line in standard form is m = -a/b
Using the same equation as above, 6x - 3y = 12 a = 6, b = -3
-6/(-3) = 2

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H(x) = x^2 + 1 k(x) = x – 2<br> (h + k)(2)=?

likoan [24]

First we will compute the h+k and then multiply the result by 2.
To add polynomials, we add terms whose variables are alike, for example:
we add the coefficients of x^2 together, the coefficients of x together and so on.

Therefore:
h + k = x^2 + 1 + x - 2 = x^2+x-1

Now, we will multiply this answer by 2 to get the final answer:
2(h+k) = 2(x^2+x-1) = 2x^2 + 2x -2

6 0

4 years ago

The angle of elevation from the top of a house to a jet flying 2 miles above the house is x radians. If d represents the horizon

alisha [4.7K]

Answer:

d = 2cot(x) or d = 2/tan(x)

Step-by-step explanation:

The vertical distance from the jet to the top of the house represents the opposite side to the 'x' angle, while the horizontal distance, d, represents the adjacent side. Since we do not know the hypotenuse, the tangent and cotangent functions are the preferable choices:

$tan (x) = \frac{2}{d}\\d = \frac{2}{tan (x) }\\cot (x) = \frac{d}{2} \\d= 2cot(x)$

Therefore, the distance 'd' can be expressed as d = 2cot(x) or d = 2/tan(x).

6 0

3 years ago

A middle school held a Career Exploration Day where students could choose to hear an adult talk about his or her career. 15 stud

mash [69]

Answer:

5/12

Step-by-step explanation:

15 students went to hear the doctor speak and 21 students went to other sessions

How many students are there? 15 + 21 = 36 students

Therefore, the probability to randomly select a student that went to hear the doctor is $\frac{15}{36}$ , then simplifying it by 3 is $\frac{5}{12}$ .

If we want to express it in percentage it would be 41.6%

7 0

2 years ago

Plz help no one would help me with this i beg of u

Tems11 [23]

Answer:

1.) D. Rotation

2.) D. Side H

3.) A. Reflection

4a) AB≅WX

DC≅ZY

4b) C≅Y

B≅X

Hope this helps!

4 0

4 years ago

NEED HELP!!!!!!!!!!!!!!!!!!!!!

kondor19780726 [428]

The quadratic formula is -b plus minus the square root of b^2-4ac all over 2a.
Here, a=1, b=13, and c=30.
The only option that fills in the values correctly is D

6 0

3 years ago