Use the distance formula to decide whether ab=bc A(4,2) B(-1,-1) C(-6,-4)

1 answer:

4 0

$AB= \sqrt{(-1-4)^2+(-1-2) ^{2} }= \sqrt{(-5)^2+(-3)^2}= \sqrt{34} \\ \\ BC= \sqrt{(-6+1)^2+(-4+1) ^{2} }= \sqrt{(-5)^2+(-3)^2}= \sqrt{34} \\ \\ \sqrt{34}= \sqrt{34} \ \ \to \ \ AB=BC$

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I need help with these please

notsponge [240]

Answer:

1a - no

1b - yes

1c - no

2 - 1.5 grams of protein

3 - a solution to this equation tells us how many grams of protein/fat there could be depending on how many grams of the other there are. a solution to this is 6 grams of protein and 4 grams of fat.

Step-by-step explanation:

4(5)+9(2)=60

20+18=60

38=60

the equation is false

4(10.5)+9(2)=60

42+18=60

60=60

the equation is true

4(8)+9(4)=60

32+36=60

68=60

the equation is not true

plug in 6 for the f value

4p+9(6)=60

4p+54=60

subtract 54 from both sides

4p=6

divide both sides by 4 to get p alone

p=1.5

a possible solution can be seen by graphing the equation using the intercepts. the intercepts for this equation are (15,0) and (0,6.6). attached is an image of the graph. the points where the line crosses are possible solutions. the line crosses the point (6,4) on the graph, which represents 6 grams of protein and 4 grams of fat. you can also check this by plugging these values into the equation.