Answer: b= -108
Step-by-step explanation:
-6=b/18
-6=b/2(3)^2
-18(6)=b
-108=b
b= -108
*<u><em>I hope that this makes sense :)</em></u>
Answer:
y=3/2 x + 5
Step-by-step explanation:

<em>Firstly, find m (gradient).</em>
m= (y1-y2)/(x1- x2)
m= 8-(-1)/ 2-(-4)
m= 9/ 6
m= 3/2
<em>Please leave gradient in improper fraction if its value is not a whole number.</em>
<em>Now substitute m into the equation:</em>
y= 3/2 x + c
<em>Then substitute a coordinate to find c:</em>
When y= 8, x= 2,
8= 3/2 (2) + c
8= 3 + c
c= 8 - 3 = 5
Thus, the equation of the line is y= 3/2 x + 5.
Answer:
x = 6
Step-by-step explanation:
We want to find x,

to get x alone, we multiple both side by 10


30 divided by 5 is 6
<u>Check</u>:
We can see that 5 x ____ = 10 where ____ is 2
5 x 2 = 10
so 3 x 2 = 6
Learn more about Equivalent Fractions here: brainly.com/question/1612
<h3>
Answer:</h3>
PR ≈ 14.50
<h3>
Step-by-step explanation:</h3>
Since ∠Q is a right angle, the area can be found from ...
... A = (1/2)bh = (1/2)(QP)(PR)
From trigonometry, we know ...
... QP = PR·cos(P) = PR·cos(36°)
... QR - PR·sin(P) = PR·sin(36°)
Substituting these values and the given area into the area formula gives ...
... 50 = (1/2)(PR·cos(36°))(PR·sin(36°))
... 100/(sin(36°)cos(36°)) = (PR)²
... PR = 10/√(sin(36°)cos(36°))
... PR ≈ 14.5015
1.059 should be the answer because it goes up 0.059 on each one