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Sergio [31]
3 years ago
5

Write the equation of the line that passes through the points (9, -8) and (-3,8).

Mathematics
1 answer:
trapecia [35]3 years ago
6 0
It would be (6,7) so which is why the Pokémon entered the facility
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Select the matrix that represents the vector.​
Liula [17]
<h3>Answer:  Choice D</h3>

Explanation:

Start at the arrow tip. Move vertically until reaching the x axis. You'll arrive at x = 7 which is the x component of the vector.

Go back to the arrow tip. This time move horizontally until reaching the y axis, so you should arrive at y = -6

Therefore the vector is \begin{bmatrix}7\\-6\end{bmatrix} which is in a column vector format. A row vector would have the numbers listed horizontally.

Put another way, the arrow tip is at the point location of (7,-6). This leads directly to the column vector mentioned in the previous paragraph.

5 0
2 years ago
Leo wants to paint a mural that covers a wall with a area of 600 square feet.The height of the wall us 2/3 of it length.What us
mash [69]

Answer:

Step-by-step explanation:

Area = height * length

Let length of mural be x so height is 2/3x

Area = 2/3x*x = 600

x*x=900

x=30 feet

Length = 30 feet

Height = 2/3 *30 = 20 feet

3 0
3 years ago
Read 2 more answers
Write an equation for a parabola that has a vertex (1, 2) and passes through the point (3, -6).
Alex

Answer:

y= -2x²+4x.

Step-by-step explanation:

the common equation of the parabola is y=ax²+bx+c, where a, b, c - numbers.

1) the coordinates of the vertex are:

x_0=-\frac{b}{2a} \ and \ y_0=\frac{4ac-b^2}{4a}.

2) if according to the condition x₀=1, then b= -2a.

If according to the condition y₀=2, then   2=\frac{4ac-b^2}{4a}=\frac{4ac-4a^2}{4a}=c-a;

it means that c=a+2.

3) if b= -2a; c=a+2 and the point (3;-6) belongs to the given parabola, then it is possible to substitute them into the common equation of the parabola:

-6=3²*a-6a+a+2; ⇔ a= -2.

4) if a= -2, then b=-2a=4, and c=a+2=0.

5) if a=-2, b=4 and c=0, then the required equation of the parabola is:

y= -2x²+4x.

6 0
2 years ago
Triangle LMN is similar to triangle PQR, and the hypotenuses of the triangles both lie on line X.
Mice21 [21]
Answer: choice C) -2/3

The line X is completely straight meaning that the slope of line X is the same no matter which two points you pick. Since we're given that line X has a slope of -2/3 through the points (-7,6) and (-4,4), this also applies to the portion from (-1,2) to (5,-2)
6 0
3 years ago
Read 2 more answers
F(x) = (x - 2)^2 + 2<br> find the range of the function
a_sh-v [17]
Vertex = (2, 2)
Range = {f(x): f(x) >= 2}
3 0
2 years ago
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