Answer:
y = -4x + 31
Step-by-step explanation:
y = mx + b
y = -4x + b
-5 = -4(9) + b
-5 = -36 + b
b = 31
Answer:
10.3
Step-by-step explanation:
As we move from (-3,-6) to (2,3), x increases by 5 (this is the horizontal distance between (2,3) and (-3,-6) ) and y decreases by 9 (vertical distance).
We apply the Pythagorean Theorem here:
d^2 = x^2 + y^2, or
d^2 = (5)^2 + (-9)^2 = 25 + 81 = 106
Thus, the distance between (2,3) and (-3,-6) is d = sqrt(106), or approx.
10.3.
Answer:
Area = 1,527 in
Step-by-step explanation:
Circle area = π * r² = π * 3136 [cm²] ≈ 1527 [in²]
π ≈ 3.14159265 ≈ 3.14
d = r * 2 = 56 [cm] * 2 = 44.094 [inch]
She needs 1/6 almonds , 1/3 walnuts and 1/2 of raisins as a fraction of total trail mix.
So she spends $2.5 on almonds. $5 on walnuts and $10 on raisins (total $15)
so that is 2.5/12 = 0.208 pounds almonds
5 / 10.5 = 0.476 pound walnuts
10/4 = 2.5 pounds raisins
so total wieght of the trail mix is 3.19 pounds
