"3 less than twice 'x' " . . . . that's (2x - 3)
" 2 more than the quantity (3 x) " . . . . . that's (3x + 2)
Their product is
(2x - 3) (3x + 2) .
If you want to expand it to a single expression, perform the multiplication,
and you have
6x² - 5x - 6 .
Andrew can reach a maximum of 
high up the wall.
The right-angled triangle formed can be solved using the 
ratio. that is
where 
is the distance from the foot of the wall to the tip of the ladder where it rests on the wall. Substituting, and solving for , we get
Since Andrew can reach an extra 
above the point where the ladder rests against the wall, the maximum height Andrew can paint is
Another solved word problem on trigonometry can be found here: brainly.com/question/12146092
Answer:
The correct answer is option C
a = 10√3, b = 5√3, c = 15 and d = 5
Step-by-step explanation:
Points to remember
The angles of a right angled triangle, 30°, 60° and 90° then sides are in the ratio, 1: √3 : 2
<u>To find the value of variables</u>
From the figure we can see 2 right angled triangle with angle 30, 60 and 90
we get, d= 5 then b = 5√3
b = 5√3 the c = 5√3 * √3 = 15
and a = 2 * 5√3 = 10√3
Therefore the correct answer is option C
a = 10√3, b = 5√3, c = 15 and d = 5
Correct statements are:
If it is reflected across the y-axis, its length still will be 12 units.
If it is rotated 270° about the origin, its length still will be 12 units.
If it is translated 15 units up, its length still will be 12 units.
<u>Step-by-step explanation:</u>
Whatever it may be rotation, reflection or translation, the size of the line will never change. So length of the line is same as 12 units in the image.
So the wrong statements are
If its reflected across y = -x then the length will no longer be 12 units.
If it is rotated 90° about the origin, then the length will no longer be 12 units.
If it is translated 18 units to the right, then the length will no longer be 12 units.
Hey there!☺
(-∞, 5)
You need to convert the inequality as an interval notation.
as interval notation would be written like this:
(-∞, 5)
Hope this helps!
