Answer:
A. y = 7x + 2
C. y = 2 - ⁷/3x
D. y - 2 = 4x
Step-by-step explanation:
The equation of any line that would intersect the orange line at the y-intercept, 2, would have the same y-intercept value of 2.
Thus, from the options given, the following equations has y-intercept (b) of 2.
A. y = 7x + 2
C. y = 2 - ⁷/3x
D. y - 2 = 4x
All three equations have a y-intercept value, b, of 2.
Note: option D, y - 2 = 4x, can be rewritten as y = 4x + 2.
Answer:
1) isolate x for -x-5y-5z=2: x = -2 - 5y - 5z
substitute x = -2 -5y - 5z
{4(-2 - 5y - 5z) - 5y + 4z = 19}
{-2 - 5y - 5z + 5y - z = -20}
simplify
{-25y - 16z - 8 = 19}
{-6z - 2 = -20}
isolate z for -6z - 2 = -20: z = 3
substitute z = 3
{-25y - 16 * 3 - 8 = 19}
simplify
{-25y - 56 = 19}
isolate y for -25y - 56 = 19: y = -3
for x = -2 - 5y - 5z
substitute z = 3, y = -3
x = -2 - 5(-3) - 5 * 3
-2 - 5(-3) - 5 * 3 = -2
x = -2
x = -2, z = 3, y = -3
2)isolate x for -4x - 5y - z = 18: x = -(18+5y+z)/4
substitute x = -(18+5y+z)/4
{-2(-(18+5y+z)/4) - 5y - 2z = 12}
{-2(-(18+5y+z)/4) + 5y + 2z = 4}
simplify
{(-5y-3z+18)/2 = 12}
{(15y+5z+18)/2 = 4}
isolate y for (-5y-3z+18)/2 = 12: y = -(3z+6)/5
substitute y = -(3z+6)/5
{15((-3z+6)/5)+5z+18/2 = 4}
simplify
{-2z=4}
isolate z for -2z=4: z = -2
for y = - 3z+6/5
substitute z = -2
y = - 3(-2)+6/5
- 3(-2)+6/5 = 0
y = 0
for x = - 18+5y+z/4
substitute z = -2, y = 0
x = - 18+5*0-2/4
- 18+5*0-2/4 = -4
x = -4
x = -4, z = -2, y = 0
3) x = -1, z = -4, y = -4
4) x = 4, z = 0, y = 2
5) r = 1, t = 1, s = 3
6) x = 0, z = -3, y = 0
<u><em>work for 3, 4, 5, and 6 is below</em></u>
Answer:
MEAN 5.8 add all the points up then divide by the number of dots
MEDIAN 5 the middle of the data
MODE 5 most accruing one
RANGE 7 maximum minus minimum
The GCF of 12, 21, and 30 is 3.
The factors of 12 are: 1, 2, 3, 4, 6, 12
<span>The factors of 21 are: 1, </span>3, 7, 21
<span>The factors of 30 are: 1, 2, </span>3, 5, 6, 10, 15, 30
<span>Then the greatest common factor is 3.
</span>
The GCF of 11, and 44 is 11.
The factors of 11 are: 1, 11
The factors of 44 are: 1, 2, 4, 11, 44
Then the greatest common factor is 11.
Hope this helps.
It has to be wider than the first two arcs or else you will just get two circles side by side with point c in common. I usually measure it to be the length of a point between the c and j. It is a good point to get the arcs to intersect.