Answer:
x = 1/2
Step-by-step explanation:
The sum of numbers in all rows, columns and diagonals have to be the same.
Notice the diagonals do not have an x so let's sum those numbers to see what the sum for all must be.
-2+(1/2) +3 = (-4+1+6)/2 = 3/2
-5+(1/2)+6 = (-10+1+12)/2 = 3/2
Now we can pick the first row and sum the numbers up knowing that the result should be 3/2, will find x
-2+x-3+6 = 3/2, combine like terms
x+1 = 3/2 , subtract 1 from both sides
x = (3/2)-1, find common denominator and subtract
x = (3-2)/2, combine like terms
x = 1/2
Check or work:
Rows from top to down
-2 +(1/2) -3 +6 = (-4+1-6+12)/2 = 3/2✅
17*(1/2) +(1/2) +(1/2)-8 = (17+1+1-16)/2 = 3/2✅
-5+(9/2) -2(1/2) +3 = (-10+9-2+6)/2 = 3/2✅
Columns from left to right
-2+17(1/2)-5 = (-4+17-10)/2 =3/2✅
(1/2)-3+(1/2)+(9/2)-2(1/2) = (1-6+1+9-2)/2 = 3/2✅
6+(1/2)-8+3 = (12+1-16+6)/2 = 3/2✅
Diagonals
-2+(1/2) +3 = (-4+1+6)/2 = 3/2✅
-5+(1/2)+6 = (-10+1+12)/2 = 3/2✅
Answer:
The shadow of the building = 192 ft.
Step-by-step explanation:
∵ There is a proportional relation between the heights of the tree and the building and their shadows
∴ Height tree/height building = shadow tree/shadow building
x = = 192 ft ⇒ x is the length of the shadow of the building
Answer with Step-by-step explanation:
We are given that six integers 1,2,3,4,5 and 6.
We are given that sample space
C={1,2,3,4,5,6}
Probability of each element=
We have to find that
Total number of elements=6
={1,2,3,4}
Number of elements in =4
Using the formula
={3,4,5,6}
Number of elements in =4
={3,4}
Number of elements in
{1,2,3,4,5,6}
Answer:
Step-by-step explanation:
We are given that a line has a slope of -2/3 and passes through the point (0,6)
We want to write the equation of this line; there are 3 forms of the line that we can use:
All though while writing the equation of the line in any of these ways is acceptable, the most common way is to write it in slope-intercept form, so let's do it that way.
As we are already given the slope, we can immediately substitute m with that value.
Replace m with -2/3:
y = -2/3x + b
Now we need to find b.
As the equation passes through the point (0, 6), we can use it to help solve for b.
Substitute 0 as x and 6 as y.
6 = -2/3(0) + b
Multiply
6 = 0 + b
Add
6 = b
Substitute 6 as b.
y = -2/3x + 6
Topic: finding the equation of the line
See more: brainly.com/question/27645158