Answer:
6x² + x - 12 = (2x + 3) (3x - 4)
Step-by-step explanation:
Factor 6x² + x - 12 by grouping
we need to rewrite the middle term as a sum of two terms whose product is (6* −12) = −72 and whose sum is 1
The middle term = x = 9x - 8x
6x² + x - 12
= 6x² + 9x - 8x - 12 Grouping the first two terms and the last two terms
= (6x² + 9x) + ( - 8x - 12)
From the first two terms take 3x as a common and from the two terms take (-4) as a common
= 3x ( 2x + 3) -4 (2x + 3)
Take (2x + 3) as a common
= <u> (2x + 3) (3x - 4)</u>
a = 5 in
b = 12 in
c = 15 in
the lengths of the sides a, b and c
the perimeter is P = a + b + c = 5 + 12 + 15 = 32 in
let the dimensions of the new triangle be
a1 = (1/5)*5 in
b1 = (1/5)*12 in
c1 = (1/5)*15 in
the perimeter is P1 = a1 + b1 + c1 = (1/5)5 + (1/5)12 + (1/5)15 = (1/5)(5 + 12 + 15) = (1/5)P1
P1 = (1/5)P
P1/P = 1/5 = a/a1 = b/b1 = c/c1
the ratio of the perimeters is equal to the ratio of the corresponding sides.
Answer:
2275
Step-by-step explanation:
list price * discount rate = discount
3500 *35% = discount
Change to decimal form
3500 *.35 =1225
list price - discount = sale price
3500-1225 =2275
He will spend 2275
The formula of a circle is A=pi x radius^2
i cant see the blue and red numbers for some reason ill do the other 4 by plugging them in
yellow:153,94 rounded 153,9
green:1385.4
orange3019.1
purple:227
circumference formula c=2 X pi X r
yellow: 43.9
green: 132
orange: 194.8
purple: 53.4
plz correct me if im wrong
Answer:
Option D.
Step-by-step explanation:
The slope of a horizontal line is 0.
It is given that the function 1 is a horizontal line that passing through the y-axis at y = 4.
It means the rate of change of function 1 is 0.
The slope intercept form of a linear function is 1
where, m is slope and b is y-intercept.
The function 2 is 2
On comparing (1) and (2), we get
The rate of change of function 2 is 8.
The difference between rate of change is
The rate of change of function 2 is 8 more than the rate of change of function 1.
Therefore, the correct option is D.
