19. A(-2,5), B(4, 9), C(8, 3); BC

Mathematics

1 answer:

charle [14.2K]3 years ago

3 0

The coordinates of the vertical of a triangle is B) 4,9

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34 days to 2 weeks the ratio is

swat32

First you have to make the units same. it will be easier if you make both the units to be days.
2 weeks= 14days
ratio will be
34:14

if you can make it into simpler form, then make it. this answer can simplified into smaller form,thus,
34:14
17:7

the answer is 17:7

5 0

3 years ago

Without drawing the graph of the equation, determine how many points the given equation have in common with the x-axis and where

Gala2k [10]

Remark
It's asking you to complete the square to find the vertex.

Solve
y = -2x^2 + x + 3 Put brackets around the first 2 terms.
y = (-2x^2 + x) + 3 Pull out the 2.
y = -2(x^2 - 1/2 x) + 3 Be especially observant of the sign on 1/2x Divide the middle term's number by 2 and square it.
y = -2(x^2 - 1/2 x + [(1/2) / 2]^2 ) + 3 [1/2 divided by 2 is 1/4. (1/4)^2 = 1/16; 2*(1/16) = 1/8
y = - 2(x^2 - 1/2 x + (1/4)^2 ) + 3 + 1/8
y = -2(x - 1/4)^2 + 3 1/8

Comment
Answer to your question. The maximum value (3 1/8) is above the y axis. That means the graph of the equation crosses the x axis twice. I'm going to include the graph because in answering the question, there is no harm in seeing the graph.