Solve the simultaneous linear equation: 6x-y=23
3y+6x=11
Answers
Answer:
( , - 3 )
Step-by-step explanation:
Given the 2 equations
6x - y = 23 → (1)
3y + 6x = 11 → (2)
Subtracting (2) from (1) term by term eliminates the term in x
(6x - 6x) + (- y - 3y) = (23 - 11), that is
- 4y = 12 ( divide both sides by - 4 )
y = - 3
Substitute y = - 3 into either of the 2 equations and solve for x
Substituting in (1)
6x - (- 3) = 23
6x + 3 = 23 ( subtract 3 from both sides )
6x = 20 ( divide both sides by 20 )
x = =
Solution is ( , - 3 )
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Angela goes to the Garden. There is a fountain. A circular fountain with 10m radius lies alone in the center of a circular park with a 200m radius. Calculate the total walking area available to the park visitors.
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Output (y)
1 12
3 9
5 6
? ?
(7, 3)
(7, 10)
(3, 3)
(3, 10)
Answers
find the slope betwen them
slope betwen 2 points (x1,y1) and (x2,y2) is
(y1-y1)/(x2-x1)
given
(1,12) and (3,9)
slope=(9-12)/(3-1)=-3/2
if we wanted to chek furthere, we check (3,9) and (5,6) and fnd that the slope is also -3/2
so
y=mx+b
m=slope
b=yint
y=-3/2x+b
find b
if x=1 then y=12
12=-3/2+b
add 3/2 both sides
12+3/2=b
13+1/2=b
26/2+1/2=b
27/2=b
y=-3/2x+27/2
try them
we have 2 x values
7 and 3
input them and see their outputs
for x=7
y=-3/2(7)+27/2
y=-21/2+27/2
y=6/2
y=3
(7,3) is a valid point
for x=3
hold a second, we already have a x=3
it is (3,9)
none of them
answer is (7,3)
Answer:
Your answer would be A (7,3)
Answers
Answers
There are certain reflection rules across whatever you want to reflect. In this case, we want to reflect the shape across the y-axis.
When you reflect a point across the y-axis, y coordinate remains the same, but the x-coordinate is transformed into its opposite, means the sign of the x coordinate will be changed from positive to negative or negative to positive.
Thus,
(x , y)→(-x , y)
X’ = (2, –15) is the point given to you, which is the reflected point. To find the pre-image, consider the rule described above.
X’ = (2, –15) → X = (-2 , -15)
In case, the question says it is reflected over x-axis then we would use another rule which says When you reflect a point across the x-axis, the x-coordinate remains the same, but y-coordinate is transformed into its opposite, means the sign of the x coordinate will be changed from positive to negative or negative to positive.
Then,
X’ = (2, –15) → X = (2 , 15)
Answer:
x-2
Step-by-step explanation:
photomath app
Answers
Answer:
12/2g + 1
Step-by-step explanation:
Answer:
12/2g + 1
trust me i know this
y varies directly with x, and y=2. What is the value of y when x=5?
Answers
Answers
4,047 - 2,191 = 1,856