Slope intercept form: y = mx + b
mx = slope
b = y-intercept
We know the y intercept is 0, so nothing will be written there.
To find the slope of this line, we can use the slope formula.
We'll use the points (1, 0) and (3, 1) to find the slope.
Now we can just plug these values into the equation to find the slope.
1 - 0 / 3 - 1
1 / 2
The slope of the line is 1/2, or 0.5.
The slope-intercept form of this line can be written as:
y = 0.5x
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Story : A Dog’s Tale by Mark Twain
1. Using a dog as narrator gives the passage a tone of —
• objectivity
• formality
• bitterness
• humor
2. What literary device is used in the sentence “She had one word which she always kept on hand, and ready, like a life-preserver”?
• Simile
• Metaphor
• Hyperbole
• Onomatopoeia
3. Based on the second paragraph, the word mastiff most likely means —
• a large dog
• a male dog
• a man’s shirt
• a part of a ship
4. According to the author, what would bring such happiness to the dogs as he describes at the end of the story?
• They helped the author’s mother find the words she used, so they especially enjoyed watching her use them.
• They knew the meaning of “supererogation” and realized they were listening to a funny joke.
• Watching and laughing as others were embarrassed vindicated their own previous embarrassment.
• They were generally happy dogs who often expressed a great deal of joy.
5. “A Dog’s Tale” uses the topic of animal communication in order to —
• show how dogs really communicate
• explain how animals learn from humans
• demonstrate that dogs are smarter than most people
• poke fun at human behavior
6. The amount of time that passes during this story is most likely —
• 10 hours
• 10 days
• 10 months
• 10 years
7. An underlying theme in this story is that —
•many people use words without knowing their meanings
• dogs know more than people realize
• family loyalty takes top priority
• strangers are almost always suspicious
8. Since the author used first person, readers are left to wonder —
• how the author felt about his mother
• how strangers reacted to his mother’s word knowledge
• what the author’s mother was thinking
• whether or not the author’s mother knew the meanings of all the words she used
Answer:
9.6
Step-by-step explanation:
As 9 and 3/5s, the 9 is whole so you do not change it. To make 3/5th into a decimal you increase the denominator into x/10. To make 5 into 10 you multiply 5x2=10. And since you changed the bottom you have to change the top and multiply it by 2. 3x2=6. So the 9 stays the same and since the first place beind the decimal is tenths, and youre fraction is now 6/10 you put it as 9.6.
Hope it helps!
Answer:
2 (real) solutions.
Step-by-step explanation:
A quadratic always has two solutions, whether they are real or complex.
Sometimes the solution is complex, involving complex numbers (2 complex), sometimes they are real and distinct (2 real), and sometimes they are real and coincident (still two real, but they are the same).
In the case of
x^2+3x = 3, or
x² + 3x -3 = 0
we apply the quadratic formula to get
x = (-3 +/- sqrt(3^2+4(1)(3))/2
to give the two solutions
{(sqrt(21)-3)/2, -(sqrt(21)+3)/2,}
both of which are real.
The equation of a line passing through point (4, -1) and perpendicular to the line whose equation is 2x - y - 7 = 0 is y = -1/2x + 1
<h3>Equation of a line</h3>
A line is the shortest distance between two points. The equation of a line in point-slope form and perpendicular to a line is given as;
y - y1 = -1/m(x-x1)
where
m is the slope
(x1, y1) is the intercept
Given the following
Point = (4, -1)
Line: 2x-y - 7 = 0
Determine the slope
-y = -2x + 7
y= 2x - 7
Slope = 2
Substitute
y+1 = -1/2(x -4)
Write in slope-intercept form
2(y + 1) = -(x - 4)
2y+2 = -x + 4
2y = -x + 2
y = -1/2 + 1
Hence the equation of a line passing through point (4, -1) and perpendicular to the line whose equation is 2x - y - 7 = 0 is y = -1/2x + 1
Learn more on equation of a line here: brainly.com/question/13763238
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