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statuscvo [17]
3 years ago
13

Look at picture and plzz help

Mathematics
2 answers:
Maru [420]3 years ago
7 0

ANSWER

D. -2x+3y=12

EXPLANATION

The given line passes through:

(0,4) and (-6,0)

These are the x and y intercepts.

The equation is given by :

\frac{x}{a}  +  \frac{y}{b}  = 1

where a= -6 is the x-intercept and b=4 is the y-intercept.

We substitute the values to get,

\frac{x}{ - 6}  +  \frac{y}{4}  = 1

Multiply through by 12,

\frac{x}{ - 6}  \times 12 +  \frac{y}{4}  \times 12 = 1 \times 12

- 2x + 3y = 12

The correct answer is D .

Klio2033 [76]3 years ago
4 0

Answer:

D. -2x+3y=12

Step-by-step explanation:

  1. add -2x to both sides of the equation
  2. divide 3 on both sides of the equation
  3. the line is y=2/3x +4
  4. you could also move the variable to the right
  5. divide both sides by -2
  6. and get x=-6+3/2y
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What can you simplify 90/120 to and how?
Leni [432]

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Step-by-step explanation:

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3 0
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RUDIKE [14]

Answer:

5) D

6) C

7) B

8) D

9) 109°

10) 83°

Step-by-step explanation:

5) In y=mx+b the slope is m. In perpendicular it'll be opposite, so the answer is D.

6) With the above knowledge about slope, the slope will be the same so it'll be C.

7) They are in the same position by different lines and will be corresponding aka B

8) These are adjacent angles because they are next to each other aka D

9) 180 - 71 = 109

10) They are correspodning so 83°

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6 0
3 years ago
Megan is planting a garden with two beds with her mother and father. Megan can plant 1 garden bed in 8 hours. Her mother can pla
olganol [36]

Answer:

1.5\text{ hours}

Step-by-step explanation:

We know that Megan can plant 1 garden bed in 8 hours. Let M represent Megan's rate. So:

M=\frac{1\text{ b}}{8\text{ hr}}

We know that her mother can plant 2 garden beds in that time (8 hours). Let A represent the mother's rate. So:

A=\frac{2\text{ b}}{8\text{ hr}}=\frac{1\text{ b}}{\text{ 4hr}}

We can reduce this to 1 flower bed every 4 hours.

We also know that Megan's father can plant 1 1/3 or 4/3 garden beds in 8 hours. Let D represent the father's rate. So:

D=\frac{4/3 \text{ hr}}{8 \text{ hr}}=\frac{1\text{ b}}{6\text{ hr}}

We can reduce (4/3)/8 to 1/6.

We know that the three began working together. They worked together for 3 hours. So, after 3 hours, the amount of beds they planted all together is 3 hours times their respective rates. So, we can write the following expression:

3(\frac{1}{8}+\frac{1}{4}+\frac{1}{6})

We know that at this point, Megan's father left, leaving only Megan and her mother. We know that they worked together for another 30 minutes, or 1/2 of an hour. So, after this, they will have planted:

3(\frac{1}{8}+\frac{1}{4}+\frac{1}{6})+\frac{1}{2}(\frac{1}{8}+\frac{1}{4})

Garden beds.

Now, Megan's mother leaves, leaving only Megan. Let's let x represent the number of hours. So, we can write the last part of our expression:

3(\frac{1}{8}+\frac{1}{4}+\frac{1}{6})+\frac{1}{2}(\frac{1}{8}+\frac{1}{4})+x(\frac{1}{8})

We know that in the end, they planted 2 flower beds. So, our entire expression equals 2:

3(\frac{1}{8}+\frac{1}{4}+\frac{1}{6})+\frac{1}{2}(\frac{1}{8}+\frac{1}{4})+x(\frac{1}{8})=2

To find out how long it took Megan, we will solve for x.

Let's do each term individually:

First Term:

We have:

3(\frac{1}{8}+\frac{1}{4}+\frac{1}{6})

Make the fractions with common denominators. Our common denominator here is 24. So:

3(\frac{3}{24}+\frac{6}{24}+\frac{4}{24})

Add:

=3(\frac{13}{24})

Multiply. So, our first term is:

=\frac{39}{24}

Second Term:

We have:

\frac{1}{2}(\frac{1}{8}+\frac{1}{4})

Again, let's turn the fractions into fractions with common denominators so we can add them. The common denominator here is 8. So:

\frac{1}{2}(\frac{1}{8}+\frac{2}{8})

Add:

=\frac{1}{2}(\frac{3}{8})

Multiply:

=\frac{3}{16}

So, our equation is now:

\frac{39}{24}+\frac{3}{16}+\frac{1}{8}x=2

Add on the left. Use the common denominator of 48. So:

\frac{78}{48}+\frac{9}{48}+\frac{1}{8}x=2

Add:

\frac{87}{48}+\frac{1}{8}x=2

Subtract 87/48 from both sides:

\frac{1}{8}x=2-\frac{87}{48}

Let turn into a fraction with a denominator of 48. So:

\frac{1}{8}x=\frac{96}{48}-\frac{87}{48}

Subtract:

\frac{1}{8}x=\frac{9}{48}

Reduce the right using 3:

\frac{1}{8}x=\frac{3}{16}

Multiply both sides by 8:

x=\frac{24}{16}

Reduce using 8. So, the time it will take Megan to finish planting the garden beds by herself is:

x=3/2=1.5\text{ hours}

And we're done!

3 0
4 years ago
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