So legnth is 7 more than 6 times width
l=7+6w
area=10 cm^2
lw=area
subsitute
7+6w for l
(7+6w)(w)=10
7w+6w^2=10
subtract 10 from both sides
6w^2+7w-10=0
factor
multiply 6 and -10
get -60
now find what 2 numbers multiply to get -60 and add to get 7
the answe ris -5 and 12
split up 7w into that
6w^2+7w-10=0
6w^2+12w-5w-10=0
group
(6w^2+12w)+(-5w-10)=0
undistribute factors
(6w)(w+2)+(-5)(w+2)=0
reverse distribute (ab+ac=a(b+c)
(w+2)((6w)+(-5))=0
(w+2)(6w-5)=0
set each to zero
w+2=0
subtract 2
w=-2
false, legnths cannot be negative
6w-5=0
add 5
6w=5
divide both sides by 6
w=5/6
subsitute
l=7+6w
l=7+6(5/6)
l=7+5
l=12
legnth=12 cm
width=5/6 cm
Answer:
x^2+0x+(-x^2)=0
Explanation:
x^2+0x+(-x^2)=0
Anything multiplied by 0 is equal to 0
x^2+0+(-x^2)=0
x^2+(-x^2)=0
A positive and a negative makes a negative
x^2-x^2=0
0=0
For these types of problems, play around with multiplying by 0 and adding negatives.
I hope this helps! Please comment if you have any questions.
Answer:B. Her mean, median and mode are equal.
Step-by-step explanation:
Mean = (sum of the outcomes)/(total number of outcomes)
Total number of rounds played is 7
The scores for the 7 rounds played are - 6, - 4, - 1 , +3 , - 2, -1, +4
Sum of the scores = - 6 - 4 - 1 + 3 - 2 -1 + 4 = -7
Mean = - 7/7 = - 1
The mode is the most occurring score. Looking at the scores, - 1 occurred twice, so the mode is - 1
The median is the middle score. We would determine it by rearranging the scores in increasing or decreasing order. It becomes
- 6, - 4, - 2, -1, -1, +3, +4
The median is -1
The true statement is
B. Her mean, median and mode are equal.
<u>Answer:</u>
(2, 7) or (-6, 1)
<u>Step-by-step explanation:</u>
We are given two equations:
; and
Since y is the subject for both the equations so we can put the values of y equal to each other to get:
Factorizing the expression to get:
Putting x = 2 and x = -6 in any of the equations to get the values of y:
and
Therefore, solution to these equation is (2, 7) or (-6, 1).
