Answer: m = - 3 and b = - 3.
Justification:
A system of linear equations will not have solutions if the two lines are parallel.
Two equations are parallel if their slopes (m) are equal and the y-intercep (b) are different.
Since the given equation is y = - 3x + 5, the value of m of the other equation, y = mx + b, in order to make a system with no solution, needs to be - 3, and the value of b need to be different to 5.
The only pair from the choices that meets that is the first option m = - 3 and b = -3.
We know that
surface area of the cone (SA)=pi*r²+pi*r*l
where
r is the radius
l is the slant height
SA=306*pi cm²
diameter=12 cm
r=12/2----> r=6 cm
SA=pi*r²+pi*r*l--------> [SA-pi*r²]=pi*r*l----> l=[SA-pi*r²]/[pi*r]
l=[306*pi-pi*6²]/[pi*6]---> [306*pi-36*pi]/[6*pi]---> 45 cm
the answer is
<span>the length of the slant height is </span>45 cm
Answer:
4 1/6 cups of almonds left
Step-by-step explanation:
Granola recipe = 2 1/3 cups of almonds
2 1/2 batches of granola = 2 1/3 cups of almonds × 2 1/2
= 2 1/3 × 2 1/2
= 7/3 × 5/2
= (7*5)/(3*2)
= 35/6
= 5 5/6 cups of almonds
A bag of almonds = 2 cups
5 bags of almonds = 10 cups
Cups of almonds left = 10 cups - 35/6 cups
= 60-35/6
= 25/6
= 4 1/6 cups
