Answer:
see explanation
see explanationStep-by-step explanation:
21
Note that
(a - 
)²
= a² - 2 + 
= a² + - 2
= 11 - 2
= 9
Thus
(a - )² = 9 ( take the square root of both sides )
a - = 3
22
Since the expression is a perfect square, then
(4x + 5y)²
= 16x² + 40xy + 25y²
Comparing coefficients, then
a - 1 = 40 ( add 1 to both sides )
a = 41
23
99² - 87² ← is a difference of squares and factors as
= (99 - 87)(99 + 87)
= 12 × 186 = 1152, thus
24a = 1152 ( divide both sides by 24 )
a = 48
Answer:
<h2>y + 3 = -6(x + 9) - point-slope form</h2><h2>y = -6x - 57 - slope-intercept form</h2>
Step-by-step explanation:
The point-slope form of an equation of a line:
<em>m</em><em> - slope</em>
The formula of a slope:
========================================
We have the slope <em>m = -6</em> and the point (-9, -3).
Substitute:
Convert to the slope-intercept form (<em>y = mx + b</em>):
<em>use the distributive property</em>
<em>subtract 3 from both sides</em>
The answer is D.) (4,3)
trace the line to where the middle of the point looks to be and then find the point. in this instance the segment is 12 points long so the middle would be at six but because it is shifted over to the left 2 points the x coordinate would be 4. Since the line is parallel with the x axis you know that the y coordinate has to be 3. So the answer is (4,3)
