<u>Answer</u>
B(18/5,0)
<u>Explanation</u>
First we find the coordinates of C;
C (x, y) = [(-3+7)/2, (2+6)/2]
= (2, 4)
Find the equation of CD.
slope = (6-2)/(7--3)
= 4/10 = 2/5
slope of CD = -5/2
-5/2 = (y - 4)/(x - 2)
-5/2(x - 2) = y - 4
(-5/2) x + 5 = y - 4
y = (-5/2)x + 9
For the x-intercept y = 0
∴ y = (-5/2)x + 9
0 = (-5/2)x + 9
5/2 x = 9
x = 2/5 × 9
= 18/5
x-intercept = (18/5, 0)
The number of batches of salsa that can be made = x = 6 batches
The number of bat tomato sauce that can be made = y = 3 batches
Step-by-step explanation:
We are given the system of equations:
where variable x represents the number of batches of salsa that can be made and y represents the number of bat tomato sauce that can be made.
We need to solve the systems to find the values of x and y.
Let:
Subtract both equations:
So, value of y=3
Putting value of y in eq(2) and finding value of x:
So, value of x=6
The number of batches of salsa that can be made = x = 6 batches
The number of bat tomato sauce that can be made = y = 3 batches
Keywords: System of equations
Learn more about system of equations at:
#learnwithBrainly
Step-by-step explanation:
a) 6-9b=3a
First:Subtract
3b=3a
Second: Devide
3b/3a
=(3÷3)(b÷a)
=1b/a
= b/a
B) 6b+2a=3a
First:Transpose (Group the like terms. signs will change.)
-3a+2a=-6b
=-1a=-6b
Second:Divide
=-1a/-6b:(-1÷-6)(a÷b)
=1a/6b
=a/6b
C)a/3=b+2
First: Transpose
a=3+2+b
=a/6+b
Answer: she would have 6 bottles left, (18/2)/6
Step-by-step explanation:
she has 18 bottles, when you divide it by two, she could give two bottles to 9 people. but, she only wants to give it to 6 friends. meaning that she would be left with 3 pairs of bubbles. as in, 6 bottles.
Problem 5
Apply the Law of Sines
s/sin(S) = r/sin(R)
s/sin(78) = 10/sin(48)
s = sin(78)*10/sin(48)
s = 13.162274
<h3>Answer: 13.162274 approximately</h3>
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Problem 6
Use the Law of Sines here as well.
x/sin(X) = y/sin(Y)
x/sin(53) = 6/sin(22)
x = sin(53)*6/sin(22)
x = 12.791588
<h3>Answer: 12.791588 approximately</h3>
