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3 years ago

What is the equation of a line, in general form, that passes through point (1, -2) and has a slope of .

Mathematics

2 answers:

Oliga [24]3 years ago

5 0

Answer:

Answer is III line

$x - 3y - 7 = 0$

Step-by-step explanation:

Given that the line passes through (1,-2)

Hence when we substitute x=1 and y =-2 the equation should be satisfied

I equation

$3x - y - 7 = 0\\3(1)-(-2) \neq 7\\x - 3y + 7 = 0\\1-3(-2)+7 = 14 \neq 0x - 3y - 7 = 0\\1-3(-2)-7 =0\\$

Hence third equation is the correct answer.

hjlf3 years ago

4 0

The correct question is
<span>What is the equation of a line, in general form, that passes through point (1, -2) and has a slope of 1/3
</span>
we have that
point (1,-2)
slope m=1/3
so
y-y1=m*(x-x1)-----> y+2=(1/3)*(x-1)----> multiply by 3---> 3y+6=x-1
x-3y-1-6=0------> x-3y-7=0

the answer is
<span>x - 3y - 7 = 0</span>

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Joel made egg sandwiches and tuna sandwiches in the ratio 2:3. He then made 15 more tuna sandwiches and the ratio changed to 1:3

Aleksandr [31]

Answer:

40 sandwiches

Step-by-step explanation:

egg sandwiches : tuna sandwiches

2 : 3

Multiply by x because we do not know how many sandwiches, just the ratio

2x : 3x

Add 15 tuna sandwiches

2x : 3x+15

Now the ratio is 1:3

egg sandwiches : tuna sandwiches

1 : 3

Multiply by y because we do not know how many sandwiches, just the ratio

y : 3y

Set the number of egg sandwiches equal

2x =y

then set the number of tuna sandwiches equal

3x+15 = 3y

We know have a system of 2 equations and 2 unknowns

Substitute y =2x into the second equation

3x+15 = 3(2x)

Distribute

3x+15 = 6x

Subtract 3x from each side

3x-3x+15 = 6x-3x

15 =3x

Divide by 3

15/3 = 3x/3

5 =x

egg sandwiches : tuna sandwiches

2 : 3

Multiply by x because we do not know how many sandwiches, just the ratio

2x : 3x

2*5 3*5

10 15

He originally made 10 egg sandwiches and 15 tuna sandwiches

Then he made 15 more tuna sandwiches

The total number of sandwiches he made is

10+15+15 = 40 sandwiches

5 0

3 years ago

Please help thank you !

KIM [24]

Answer:

10.8239 approximately 10.82 (in 2 decimal places)

Step-by-step explanation:

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4 0

2 years ago

Read 2 more answers

Which ordered pairs lie on the graph of the exponential function f(x)=−3^(x−1) +2 Select each correct answer.

katrin [286]

<h3>Answer:</h3>

(1, 1), (4, -25)

<h3>Step-by-step explanation:</h3>

You can evaluate the function to see.

f(-1) = -3^(-1-1)+2 = -3^(-2)+2 = -1/9 +2 ≠ 2

f(1) = -3^(1-1) +2 = -1 +2 = 1

f(0) = -3^(0-1) +2 = -1/3 +2 ≠ 0

f(4) = -3^(4 -1) +2 = -27 +2 = -25

_____

Or, you can graph the points and the curve.

8 0

3 years ago

-1/2 + ( 3/4 x 4/9)

SIZIF [17.4K]

Answer:

-1/6

Step-by-step explanation:

-1/2 + ( 3/4 x 4/9)

PEMDAS says parentheses first

Rearranging the fractions

-1/2 + ( 3/9 x 4/4)

-1/2 + (1/3*1)

-1/2 + 1/3

Getting a common denominator of 6

-1/2 *3/3 + 1/3 *2/2

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4 years ago

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