9a+6b is the answer. You can find this by grouping the like terms.
Answer:
Aiden and his sister have 360 quarters together. If Aiden has twice as much as his sister, he has 180 quarters.
360/2 = 180
Aiden divides his quarters into 3 equal piles.
180/3 = 60
Aiden has 60 quarters in each of his 3 piles.
Answer:
1) 13 ft.
2) 23.3 m (when rounded to 1 dp)
Step-by-step explanation:
The Pythagorean theorem states that when a and b are the two legs (the sides adjacent to the right angle) and c is the hypotenuse (the longest side). This only applies to right triangles.
<u>1) Question 1</u>
The lengths of the two legs in the image are 12 ft. and 5 ft. We know that these are the legs because they are the sides adjacent to the right angle. We're solving for the length of the ladder, which in this case would represent the hypotenuse (c). Plug the values 12 and 15 into the equation as a and b and solve for c:
Take the square root of both sides
Therefore, the length of the ladder is 13 ft.
<u>2) Question 2</u>
The lengths of the legs in the image are 20 m and 12 m. Again, we know that these are the legs because they are the sides adjacent to the right angle, which in this case would be the corner of the garden. We're solving for the length of the fence going diagonally from one corner to the other, which represents the hypotenuse (c). Plug the values 20 and 12 into the equation as a and b and solve for c:
Take the square root of both sides
Therefore, the length of the fence when rounded to 1 decimal point is 23.3 m.
I hope this helps!
Answer:
Step-by-step explanation:
Perpendicular lines have slopes that are opposite reciprocals of each other. In order to write the equation of a line perpendicular to the one given, we need to find the slope of the given line and then take the opposite reciprocal of it. The current form the line is in does not give us a clear idea of what the slope is. We will first put the given line into slope-intercept form (right now it's in standard form, which is not helpful for anything at all!). Solving the given equation for y:
12y = -2x - 1 and
(notice I reduced the slope's fraction from -2/12)
That means that the slope of the given line is -1/6. So the perpendicular slope is positive 6/1 or just 6.
Using that slope and the given point in point-slope form to write the equation:
y - 9 = 6(x - 0) and
y - 9 = 6x - 0 and
y = 6x + 9
There you go!
Answer:
brainly banned me :( (prob going to do it again LOL)