Answer:
Correct answer: C (6.5 , - 8)
Step-by-step explanation:
Given points A(-1,-2) and B(9, -10)
The formula by which we calculate the coordinates of a point, let be C, that divides the line segment in the given ratio is.
Xc = (Xa + λ · Xb) / (1 + λ) and Yc = (Ya + λ · Yb) / (1 + λ)
Where λ is the coefficient which depends on the direction of the ratio in this case is:
λ = 3 : 1 = 3
Xc = (-1 + 3 · 9) / (1 + 3) = (-1 + 27)/ 4 = 26 / 4 = 6.5
Xc = 6.5
Yc = (-2 + 3 · (-10) / (1 + 3) = (-2 - 30)/ 4 = -32 / 4 = - 8
Yc = - 8
God is with you!!!
Commission: $4,800 * .03 = $144
Salary + Commission = $275 + $144 = $419
Answer: $419
Cost of one pretzel is $2.5 and cost of one ice cream is $4.5
Step-by-step explanation:
Let,
Cost of pretzel = x
Cost of ice cream = y
According to given statement;
the cost of a pretzel is $2 less than the cost of some ice cream.
x = y - 2 Eqn 1
five ice creams cost the same as nine pretzels.
9x = 5y Eqn 2
Putting value of x from Eqn 1 in Eqn 2
![9(y-2)=5y\\9y-18=5y\\9y-5y=18\\4y=18](https://tex.z-dn.net/?f=9%28y-2%29%3D5y%5C%5C9y-18%3D5y%5C%5C9y-5y%3D18%5C%5C4y%3D18)
Dividing both sides by 4
![\frac{4y}{4}=\frac{18}{4}\\y=4.5](https://tex.z-dn.net/?f=%5Cfrac%7B4y%7D%7B4%7D%3D%5Cfrac%7B18%7D%7B4%7D%5C%5Cy%3D4.5)
Putting y=4.5 in Eqn 1
![x=4.5-2\\x=2.5](https://tex.z-dn.net/?f=x%3D4.5-2%5C%5Cx%3D2.5)
Cost of one pretzel is $2.5 and cost of one ice cream is $4.5
Keywords: linear equation, substitution method
Learn more about linear equations at:
#LearnwithBrainly
Yes a cube is three dimensional and infinitly large
Answer:
3*10^5 or 300,000 cant remember witch one it is
Step-by-step explanation:
1.5*10^2= 150
2*10^3=2,000
150*2000=300,000
3*10^5