Answer:
Step-by-step explanation:
Given
← factor both numerator and denominator
= 
← cancel common factor (1 - 2b) on numerator/denominator
= 
← cancel 6 and 3 by 3
=
Answer:
We conclude the equation is linear because it can be rewritten in the form 
.
Hence, option D is correct.
Step-by-step explanation:
The slope-intercept form of the line or linear equation
where
is the slope
is the y-intercept
<u>Important Tip:</u>
The graph of a linear equation is always a straight line.
Convert the given equation in the slope-intercept form
subtract 18x from both sides
simplify
divide both sides by 9
Now, comparing the equation with a slop-intercept form of linear equation
- The y-intercept b = -416/9
Therefore, we conclude the equation is linear because it can be rewritten in the form .
From the attached graph, is also clear that the graph of the equation is a straight line.
Hence, option D is correct.
Answer:
<u>x = √51</u>
Step-by-step explanation:
The given figure is a <u>right triangle</u>.
<u>Using the Pythagorean Theorem to find x</u>
- (Altitude 1)² + (Altitude 2)² = (Hypotenuse)²
- (7)² + x² = (10)²
- 49 + x² = 100
- x² = 51
- <u>x = √51</u>
The answer is <span>a.)(x - 4)2 = 3.
(x - a)</span>² = b can be expressed as:
x² - 2ax + a² = b ⇒ x² - 2ax + a² - b = 0
Our equation is x² - 8x + 13 = 0.
The general formula is x² - 2ax + (a² - b) = 0
Thus:
8x = 2ax and a² - b = 13
Divide both sides of the first equation (8x = 2ax) by x:
8 = 2a ⇒ a = 8 ÷ 2 = 4
Replace a in the second equation (a² - b = 13):
4² - b = 13 ⇒ b = 4² - 13 = 16 - 13 = 3
Now when we have a and b, let's just replace them in the general equation:
(x - a)² = b
(x - 4)² = 3
The reflected points would be (-3,-7)
The x coordinate would stay the same but the y-coordinate would be the opposite
