Answer:
3x² + 9x + 6
Explanation:
(3x + 3)(x + 2)
= (3x + 3)(x + 2)
= (3x)(x) + (3x)(2) + (3)(x) + (3)(2)
= 3x² + 6x + 3x + 6
= 3x² + 9x + 6
Answer:
52°
Step-by-step explanation:
The measure of angle between the ladder and the ground is given as:
Sum of angles in a triangle
38° + x° + 90° = 180
128°+X° = 180°
X° = 180-128
X= 52°
Hence the angle x = 52°
Answer: -2x+3y = 21 which is choice C
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Work Shown:
The slope of the original line is -3/2. The perpendicular slope is 2/3. We flip the fraction and flip the sign. Multiplying the original slope (-3/2) and the perpendicular slope (2/3) will result in -1. Let's use this perpendicular slope and the point to find the equation of the perpendicular line in slope intercept form.
y = m+b
y = (2/3)x+b .... plug in the perpendicular slope
9 = (2/3)(3)+b .... plug in the point (x,y) = (3,9)
9 = 2+b
9-2 = 2+b-2 ... subtract 2 from both sides
b = 7
So y = (2/3)x+b turns into y = (2/3)x+7.
This equation is in slope intercept form.
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Let's convert to standard form
y = (2/3)x+7
3*y = 3*((2/3)x+7) ... multiply both sides by 3 to clear out the fraction
3*y = 3*(2/3)x+3*7 ... distribute
3y = 2x+21
-2x+3y = 21 .... get the x term to the other side (subtract 2x from both sides)
<em>Answer:</em>
<em>What is the LCM of 50 and 75? The lcm of 50 and 75 is 150.</em>
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Answer:
d = 15 miles
Step-by-step explanation:
To get to his parents’ house, Ruben would have to drive due north 12 miles.
To get to his grandparents’ house, he would have to drive due east 9 miles.
It is required to find the distance between the parents’ and grandparents’ houses.
First distance is 12 miles and second distance is 9 miles.
So,
So, the distance between the parents’ and grandparents’ houses is 15 miles.
