Answer:
Graph D
Step-by-step explanation:
Convert to y-intercept:
x + 2y = 2
2y = -x + 2
y = -1/2x + 1
Slope = -1/2 (1 down, 2 right)
y-intercept = + 1
Answer:
there is 60 families who drink both tea and coffle 710+230=940 that means that the remainder drink both tea and coffe
Answer:
<h2>
x = (12-k)/2, y = k, z = (k-6)/4 </h2>
Step-by-step explanation:
Given the system of equation
x + y - 2z = 9 ... 1
3x + y + 2z = 15 ...2
x - 5y + 22z = -27... 3
First let us reduce the system of equation into two with two unknowns.
Subtracting 1 from 3
y-(-5y) + (-2z-22z) = 9-(-27)
y+5y + (-24z) = 9+27
6y-24z = 36 ... 4
Multiplying equation 1 by 3 and subtracting from equation 2
3x + 3y - 6z = 27
3x + y + 2z = 15
On subtracting both;
(3y-y)+(-6z-2z) = 27-15
2y-8z = 12 ... 5
Equating 4 and 5
6y-24z = 36 ... 4
2y-8z = 12 ... 5
Multiplying equation 5 by 3 the equation becomes;
6y-24z = 36 ... 6
6y-24z = 36 ... 7
We can see that equation 6 and 7 are the same;
let y = k
6k - 24z = 36
k - 4z = 6
4z = k-6
z = k-6/4
Substituting y = k and z = k-6/4 into equation 1 to get x
From 1; x + y - 2z = 9 ... 1
x + k -2( k-6/4) = 9
x + k - (k-6)/2 = 9
x = 9+(k-6)/2-k
x = {18+(k-6)-2k}/2
x = (12-k)/2
The solutions to the system of equations are x = (12-k)/2, y = k, z = (k-6)/4 where k is any constant. This shows that the system of equation has infinite solutions.
Answer:
16. 1
17. 3
18. 1
19. 1
20. 1
Step-by-step explanation:
I'm sorry that I don't speak in Filipino but I can help fill in the blanks.
(In brackets is the English translation)
12 pulgada = 1 piye (12 inch is 1 foot)
1 yard = 3 piye (1 yard is 3 feet)
10 sentimetro = 1 desimetro (10 centimeters is 1 decimeter)
1000 metro = 1 kilometro (1000 meters is 1 kilometer)
10 millimetro = 1 sentimetro (10 millimeters is 1 centimeter)
Answer: The area of rectangle WXYZ is 18 square inches
Step-by-step explanation: Since both rectangles are similar, then lines AD and BC has a common ratio with lines WZ and XY. If line line AD is 10 inches, and line XY is 5 inches, then the ratio of similarity is given as
Ratio = 10/5
Ratio = 2/1 (or 2:1)
However rectangle ABCD has its area as 70 square inches, which means the other side is given as
Area = L x W
70 = 10 x W
70/10 = W
7 = W
Therefore the width of the other rectangle is determined as,
10/5 = 7/W
10W = 5 x 7
10W = 35
Divide both sides of the equation by 10
W = 3.5
Having calculated the width of the other rectangle as 3.5, the area is now determined as
Area = L x W
Area = 5 x 3
Area = 17.5
Rounded off to the nearest integer, the area equals 18 square inches
