Answer:
The answer to your question is (-5/2, -5)
Step-by-step explanation:
Data
A (-10, -2)
B (10, -10)
ratio 3/5
Formula
X = (x₁ + rx₂)/(1 + r)
Y = (y₁ + ry₂)/(1 + r)
Process
1.- Calculate X
x₁ = -10 x₂ = 10
X = (-10 + 3/5(10))/ (1 + 3/5)
X = (-10 + 30/5) / 8/5
X = -4/8/5
X = -5/2
2.- Calculate Y
y₁ = -2 y₂ = -10
Y = (-2 + (3/5)(-10))/(1 + 3/5)
Y = (-2 - 30/5) / 8/5
Y = -8/8/5
Y = -5
3.- The coordinates of the point are (-5/2, -5)
Answer for problem 46 is choice A
Answer for problem 47 is choice B
Answer for problem 48 is choice E
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Work Shown
Problem 46
Equation 1: 3x+y = 17
Equation 2: x+3y = -1
Add equation 1 to equation 2 to get 4x+4y = 16. Divide every term by 4 to get x+y = 4. Then finally multiply both sides by 3 to get 3x+3y = 12
That shows why the answer is choice A
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Problem 47)
If y hours pass by, then y-(2/3)y=y/3 is the time value (2/3)y hours ago
So,
Distance = rate*time
d = r*t
d = x*(y/3)
d = (xy)/3
That's why the answer is choice B
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Problem 48)
Let L1,L2,L3 be the three lists where
L1 = {a1,a2,a3,...,ak} there are k scores here
L2 = {a1,a2,...,a10} there are 10 scores here
L3 = {a11,a12,...,ak} the remaining k-10 scores
S(L1) = sum of the scores in list L1
M(L1) = mean of L1 = 20 = S(L1)/k
M(L2) = mean of L2 = 15 = S(L2)/10
S(L1) = 20k
S(L2) = 150
S(L1) = S(L2)+S(L3)
M(L1) = [S(L2)+S(L3)]/k
20 = [150+S(L3)]/k
20k = 150+S(L3)
S(L3) = 20k-150
M(L3) = [S(L3)]/(k-10)
M(L3) = (20k-150)/(k-10)
So that shows why the answer is choice E
Answer:
Step-by-step explanation:
5.22/6= 0.87 a piece
Answer:
quotient of power rule
power of power rule
power of product
zero power rule
negtive exponents rule
Step-by-step explanation:
