The correct answer would be C)
Answer:
1.) slope is 6
2.) slope is -4
4.)slope is undefined
Step-by-step explanation:
1.) For one we can use the equation y2-y1/ x2-x1
First, pick any 2 points that you want to use to plug into the equation
(0, -3) and (1, 3)
Next, plug in and solve!
3-(-3)/ 1-0= 6
The slope is 6
2.) We can use this same equation for the problem and plug in!
(-1, 5) (2,-7)
-7- 5/ 2-(-1)= -4
The slope is -4!
4.) Use the same equation and find the slope!
(8, 1) and (8, 2)
2-1/ 8-8= undefined
Because we cannot divide by a 0 the slope is undefined!
Answer:
p= 2.5
q= 7
Step-by-step explanation:
The lines should overlap to have infinite solutions, slopes should be same and y-intercepts should be same.
Equations in slope- intercept form:
6x-(2p-3)y-2q-3=0 ⇒ (2p-3)y= 6x -2q-3 ⇒ y= 6/(2p-3)x -(2q+3)/(2p-3)
12x-( 2p-1)y-5q+1=0 ⇒ (2p-1)y= 12x - 5q+1 ⇒ y=12/(2p-1)x - (5q-1)/(2p-1)
Slopes equal:
6/(2p-3)= 12/(2p-1)
6(2p-1)= 12(2p-3)
12p- 6= 24p - 36
12p= 30
p= 30/12
p= 2.5
y-intercepts equal:
(2q+3)/(2p-3)= (5q-1)/(2p-1)
(2q+3)/(2*2.5-3)= (5q-1)/(2*2.5-1)
(2q+3)/2= (5q-1)/4
4(2q+3)= 2(5q-1)
8q+12= 10q- 2
2q= 14
q= 7
Answer:
5. 66%
Step-by-step explanation:
Sales tax = $19.80
Cost of item before sales tax = $330
Cost of item after sales tax = 19.80+19.80 + 19.80+330
= $349.80
Sales tax rate
19.80349.80×100%5.66%\begin{lgathered}\frac{19.80}{349.80} \times 100\% \\ 5.66\%\end{lgathered}
349.80
19.80
×100%
5.66%
So rate of sales tax is 5.66%
Answer:
The answer is 6.
The change in temperature during the sleep over was 6°F.
Step-by-step explanation:
-1-(-7) = -1 + 7
=6