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maksim [4K]
3 years ago
14

What is the y intercept of the graph y= -2x^2 -4x-3

Mathematics
1 answer:
Kitty [74]3 years ago
4 0

the answer for this question is -3

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For ΔABC with A(–5, –4), B(3, –2), and C(–1, 6), M is the midpoint of
Zarrin [17]

Answer:

The proposition is true, as \overrightarrow{MN} = (2,5) and \overrightarrow {AC} = (4, 10) satisfies the given expression (\overrightarrow{MN} = \frac{1}{2}\cdot \overrightarrow{AC}).

Step-by-step explanation:

Vertices of the triangle ABC are located in A(x,y) = (-5,-4), B(x,y) = (3,-2) and C(x,y) = (-1, 6), respectively. By definition of midpoint, we get that M and N are located in the following coordinates:

M(x,y) = \frac{1}{2}\cdot A(x,y) +\frac{1}{2}\cdot B(x,y) (Eq. 1)

M(x,y) = \frac{1}{2}\cdot (-5,-4)+\frac{1}{2}\cdot (3,-2)

M(x,y) = \left(-\frac{5}{2},-2 \right)+\left(\frac{3}{2},-1\right)

M(x,y) = (-1,-3)

N(x,y) = \frac{1}{2}\cdot B(x,y) + \frac{1}{2}\cdot C(x,y) (Eq. 2)

N(x,y) = \frac{1}{2}\cdot (3,-2)+\frac{1}{2}\cdot (-1,6)

N(x,y) = \left(\frac{3}{2},-1\right)+\left(-\frac{1}{2},3 \right)

N(x,y) = (1, 2)

Then, the relative vectors between A and C, as well as M and N are, respectively:

\overrightarrow{AC} = C(x,y)-A(x,y) (Eq. 3)

\overrightarrow{AC} = (-1, 6) -(-5,-4)

\overrightarrow {AC} = (4, 10)

\overrightarrow {MN} = N(x,y)-M(x,y) (Eq. 4)

\overrightarrow {MN} = (1,2)-(-1,-3)

\overrightarrow{MN} = (2,5)

By getting back into (Eq. 3), we find the following the result after some algebraic handling:

\overrightarrow {AC} = (4, 10)

\overrightarrow{AC} = 2\cdot (2,5)

\overrightarrow {AC} = 2\cdot \overrightarrow {MN}

\overrightarrow{MN} = \frac{1}{2}\cdot \overrightarrow{AC}

Which proofs the given affirmation.

6 0
2 years ago
The library surveyed 240 people about their favorite type of movie. If 15% of those people chose documentaries, how many people
sergeinik [125]
36 people chose documentaries
7 0
3 years ago
juan can walk to school a distance of 1 mile, in 12 minutes . assuming he walks at a constant rate what is Juan’s constant speed
Tomtit [17]

Answer:

1 mile every 12 miniutes

Step-by-step explanation:

ratio table will help you

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3 years ago
a person who is at least 65 years old is often considered a senior citizen. Write an inequality that represents this situation
Firlakuza [10]
Your inequality is going to be

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3 years ago
Please help, multiple choice
ycow [4]

Answer:

<em>10</em>

Step-by-step explanation:

<em>5x = x20</em>

<em>x · x = 20 · 5</em>

<em>x2 = 100</em>

<em>x = 10</em>

6 0
3 years ago
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