Answer:
X+13=116
Step-by-step explanation:
Given
We have to set the restraint
because a square root is non-negative, and thus it can't equal a negative number. With this in mind, we can square both sides:
The solutions to this equation are 7 and -2. Recalling that we can only accept solutions greater than or equal to -1, 7 is a feasible solution, while -2 is extraneous.
Similarly, we have
So, we have to impose
Squaring both sides, we have
The solutions to this equation are 5 and 10. Since we only accept solutions greater than or equal to 7, 10 is a feasible solution, while 5 is extraneous.
Answer:
y = - 0.9167 - 0.75x
Step-by-step explanation:
Given the data:
(−1, 0), (1, −2), (3, −3)
X : - 1, 1, 3
Y : 0, - 2, - 3
The regression model is written in the form:
y = C + mx
Where ;
C = intercept ; m = slope / gradient
Using the regression model calculator on the data values given above :
Slope (m) = - 0.75
Intercept (c) = - 0.9167
Hence,
y = - 0.9167 - 0.75x
c
Answer: 2x + 5y = - 10, Cy + 4 = (x-5)
Dy - 4 = (x+ 5)
Step-by-step explanation:
Equation of the line
5x - 2y = -6
Conditions for perpendicularity
m1 x m2 = -1
To get m1, rearrange the equation
2y = 5x + 6
y = 5x/2 + 3
n1 = 5/2 and m2 = -2/5
To get C
y = mx +c
-4 = -2 x 5/5 + C
-4 = -2 + C
C = -4 + 2
C = -2
To get the equation of the second line
y = -2x/5 - 2
Multiply through by 5
5y = -2x - 10
2x + 5y = 10.
Step-by-step explanation:
The equations with solution x = 1 and y = (-1) will intersect each other at (1,-1) .
<u>Equation</u><u> </u><u>1</u><u> </u><u>:</u><u>-</u>
→ y - (-1) = 1 ( x -1)
→ y +1 = x -1
→ x - y -2 = 0
<u>Equation</u><u> </u><u>2</u><u> </u><u>:</u>
→ y - (-1) = -1( x -1)
→ y +1 = -x +1
→ x + y = 0
Required answer
