Answer:
1. Choice B
2. Choice C
3. X=-2
4. Choice A
5. y = 5/2 x + 5
Step-by-step explanation:
1.
the slope is down 3 over 2 m =-3/2
point slope form
y-y1= m (x-x1)
y-y1 = -3/2 (x-x1)
Choice B
2. (-3,-1) (1/2,2)
slope = (y2-y1)/(x2-x1)
m=(2--1)/(1/2--3) = (2+1)/(1/2+3) = 3/(3.5) = multiply top and bottom by 2
m = 6/7
point slope form
y-y1 = m(x-x1)
y--1 = 6/7 (x--3)
y+1 =6/7 (x+3)
multiply by 7
7y+7 = 6(x+3)
7y+7 = 6x+18
subtract 7y from each side
7 = 6x-7y+18
subtract 18 from each side
-11=6x-7y
Choice C
3. x=-2
This is a vertical line, the value of x never changes
4. (-1,2) (1,-4)
slope =(y2-y1)/(x2-x1)
= (-4-2)/(1--1) = -6/(1+1) = -6/2 = -3
point slope form
y-y1 = m(x-x1)
y-2 = -3(x--1)
y-2 = -3(x+1)
y-2 = -3x-3
add 2 to each side
y = -3x-1
Choice A
5. (-2,0) (0,5)
the y intercept is 5
slope is change in y over change in x
slope =(y2-y1)/(x2-x1) = (0-5)/(-2-0) = -5/-2 = 5/2
slope intercept form
y= mx+b
y = 5/2 x + 5
Answer:
y
=
−
41
−
√
3165
2
,
−
41
+
√
3165
2
Decimal Form:
y
=
7.62916635
…
,
−
48.62916635
…
Step-by-step explanation:
Answer:
15. d) 36
16. b) 20
17. d) 180
18. b) 50
19. c) 360
20. b) 60
Step-by-step explanation:
To find the number of sides a polygon has giving an interior angle, use the equation:
(number of sides - 2)*180/(number of sides) = measure of interior angle
<em>15. </em>(n = number of sides)
((n-2)*180)/n = 170
180n-360 = 170n
10n = 360
n = 36 (d)
<em>16.</em> (n = number of sides)
((n-2)*180)/n = 162
180n-360 = 162n
18n = 360
n = 20 (b)
<em>17.</em> The sum of the interior angles of a triangle is always 180 (d)
<em>18.</em> 180-60-70 = 50 (b)
<em>19.</em> The sum of the interior angles of a quadrilateral is always 360 (c)
<em>20.</em> 360-120-90-90 = 60 (b)
Answer:
At 11:30 am they will arrive at their starting point together
Step-by-step explanation:
we know that
One of them completes one lap in 6 minutes
The second one in 9 minutes
The third one in 15 minutes
step 1
Find the least common multiple (LCM)
6=2*3
9=3²
15=3*5
so
LCM=(3²)*(2)*(5)=90 minutes
step 2
Find the number of laps of each jogger for the LCM
jogger 1
90/6=15 laps
jogger 2
90/9=10 laps
jogger 3
90/15=6 laps
If they start at 10:00 am
then
10:00 am + 90 minutes=11:30 am
I'm not 100% sure but I think it's the last two choices
sorry if its wrong