Answer:
∠SQR = 1/2 m ∠SR = 1/2 x 86 = 43°
Equation of a line:

m = gradient: The difference between two y points and two x points.

c = y-intercept: Where the line crosses the y-axis (x=0)
You have:

so you are missing the m and the c.
To calculate m find two y coordinates -you have (12,
<u>7</u>) and (0, <u>
1</u>)- and subtract them. Then divide this by the subtracted values of the x coordinates -you have (<u>
12</u>, 7) and (<u>
0</u>, 1)- This gives:



To calculate the c, you just see where the line crosses the y-axis. Because you have the point (0, 1), you know that when x=0, y=1. Because x=0 is on the y-axis, you can tell that the line passes through y=1. This makes your c = 1:

When you plug these values into the equation you get your answer:
<span>current ratio: 4 apple trees for every 3 pear trees.
wants: 2 avocado trees for every 5 pear trees in the orchard.
Sandy is planting 18 avocado trees
so 2 avocado trees for every 5 pear trees
=1 avocado trees for every 2.5 pear trees
therefore if we have 18 avocado trees
18 x 2.5 = 45 pear trees
4 apple trees for every 3 pear trees
4/3
= 1.333 apple trees for every 1 pear tree
therefore if we have 45 avocado trees
45 x 1.333 = 60 apple trees
therefore ratio of avocado to apple trees = 18 : 60
18 : 60
= 9 : 30
= 3 : 10</span>
Answer:
(4x - 3)(3x² + 1)
Step-by-step explanation:
Given
12x³ - 9x² + 4x - 3 ( factor the first/second and third/fourth terms )
= 3x²(4x - 3) + 1(4x - 3) ← factor out (4x - 3) from each term
= (4x - 3)(3x² + 1) ← in factored form
ANSWER
a=9
EXPLANATION
The given quadratic equation is

If x=1 is a solution, then it must satisfy this equation:



Therefore the value of 'a' is 9