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tresset_1 [31]
1 year ago
13

write the equation of the line that is parallel to the line y=-5/3x-2 and goes throught the point (-3,1)

Mathematics
1 answer:
max2010maxim [7]1 year ago
4 0

Answer:

y = (-5/3)x - 4

Explanation:

The equation of a line with slope m that goes through the point (x1, y1) is:

y-y_1=m(x-x_1)_{}

Additionally, two lines are parallel if they have the same slope.

The slope of the line y = (-5/3)x - 2 is (-5/3) because it is the number beside x.

So, the slope of our line is also -5/3.

Therefore, replacing m by -5/3 and (x1, y1) by (-3, 1), we get that the equation of the line is:

\begin{gathered} y-1=-\frac{5}{3}(x-(-3)) \\ y-1=-\frac{5}{3}(x+3) \end{gathered}

Finally, solving for y, we get:

\begin{gathered} y-1=-\frac{5}{3}x-(\frac{5}{3}\cdot3) \\ y-1=-\frac{5}{3}x-5 \\ y=-\frac{5}{3}x-5+1 \\ y=-\frac{5}{3}x-4 \end{gathered}

So, the answer is:

y = (-5/3)x - 4

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A cafe makes ten 8-ounce fruit smoothies. Each smoothie is made with 4 ounces of soy milk and 1.3 ounces of banana flavoring. Th
Dvinal [7]

Answer:

27 ounces of blueberry juice. 40 ounces of soy milk. 13 ounces of banana flavoring.

Step by Step:

4 + 1.3 = 5.3, This is how much of the smoothie is made up of the soy milk and banana flavoring, 5.3 ounces.

So to find the amount of blueberry juice in the smoothie you have to subtract 8-5.3. This finds the remaining part of the smoothie, which is the blueberry juice. 8-5.3 = 2.7

2.7 ounces of blueberry juice in each smoothie.

Now you have to multiply every ingredient by 10, since there are 10 smoothies.

4 * 10 = 40

1.3 * 10 = 13

2.7 * 10 = 27

You need 40 ounces of soymilk, 13 ounces of banana flavoring, and 27 ounces of blueberry juice to make 10, 8-ounce smoothies.

7 0
3 years ago
What is the range of the function?
Tanya [424]

Answer: Option D

Step-by-step explanation:

The y-axis of the table represents the range of the function.

3 0
3 years ago
Read paragraphs 4-5 from the passage.
rodikova [14]

Answer:  C

Step-by-step explanation:

I recognize this as coming from an old 1912 novel published as "A Princess of Mars", by Edgar Rice Burroughs. I read the book as a teenage boy. A 2012 movie, called "John Carter", was based on this same book.

Answer A  - No, because the character (Carter) says, "My muscles, perfectly attuned and accustomed to the force of gravity on Earth". Perfectly attuned is an athlete, not a clumsy person.

Answer B - No, because the character just doesn't sound all that frustrated. The experience is strange and inconvenient, yet he is handling his emotions pretty well for how weird it must be. It is more like he is writing about an amazing experience, not just complaining.

Answer D - No, because he never says that the experience was making him happy. He does not say that he was laughing or smiling or that it reminded him of some pleasant time he had as a boy.

Answer C - Yes. - Creation of vivid imagery. In a novel, the author must paint pictures with their words. Part of how the author does this is by giving you the picture of a man who feels very comfortable with his coordination on Earth, but keeps winding up about 9 feet off the ground without trying. He doesn't just "I kept falling". He tells you in vivid detail - "... landed me sprawling on my face or back ..."

Hope this helps!

3 0
1 year ago
Hello can u please help
Andrei [34K]

y = mx + b

-3 = -2(-5) + b

-3 = 10 + b

-13 = b

y = -2m - 13

The line would pass through -13 on the y-axis and it would go down 2 and move to the right 1 for every new point.

Hope this helps! ;)

6 0
3 years ago
Read 2 more answers
1.
lord [1]

Okay I'm not sure which you need help with but.

First one, it means how did you feel about how the worksheets were set up

Then, about what you learned

How you felt about tests

And for the last one you could say thing like

How you felt about obstacles, the teachers/professors, pressure, how much you think you learned, how you feel at the end of the school year versus the beginning, or how you grew as a student/person. You can pick one or two or your own, those are just some ideas.

How is this your last day at school? You are quite lucky

6 0
3 years ago
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