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alexandr402 [8]
3 years ago
9

Which line(s) intersect the parabola y = x^2 − 3x + 4 at two points? Select all that apply. A. y = –3x + 2 B. y = –3x + 3 C. y =

–3x + 5 D. y = –3x + 6
Mathematics
1 answer:
TEA [102]3 years ago
4 0

Answer:

C and D

Step-by-step explanation:

Equating the line A and the parabola, we get

-3x + 2 = x² - 3x + 4

0 = x² - 3x + 4 +3x - 2

0 = x² + 2

-2 = x²

which has no real solutions. Then, the line A and the parabola don't intersect each other.

Equating the line B and the parabola, we get

-3x + 3 = x² - 3x + 4

0 = x² - 3x + 4 + 3x - 3

0 = x² + 1

-1 = x²

which has no real solutions. Then, the line B and the parabola don't intersect each other.

Equating the line C and the parabola, we get

-3x + 5 = x² - 3x + 4

0 = x² - 3x + 4  + 3x - 5

0 = x² - 1

1 = x²

√1 = x

which has 2 solutions, x = 1 and x = -1. Then, the line C and the parabola intersect each other.

Equating the line D and the parabola, we get

-3x + 6 = x² - 3x + 4

0 = x² - 3x + 4  + 3x - 6

0 = x² - 2

2 = x²

√2 = x

which has 2 solutions, x ≈ 1.41 and x ≈ -1.41. Then, the line D and the parabola intersect each other.

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Can someone help me
KatRina [158]

Let's recall that in a parallelogram:

1. The opposite sides are paralell

In our exercise. sides CZ and KG are paralell. And so do sides KC and GZ.

2. Those opposite sides are equal in length.

3. The opposites angles are equal. In our exercise, angle C and G are equal and so do angles K and Z.

4. That also mean that the angles at the top of the figure are supplementary. It means they add up to 180 degrees. We have the same situation with the two angles at the bottom of the parallelogram.

In our case then:

\angle\text{ C = }\angle\text{ G }\Rightarrow\text{ C = 50}\circ\text{ , G = 50}\circ

Now, we can find the measure of angles K and Z, as follows:

\angle C\text{ + }\angle Z\text{ = 180}\Rightarrow\text{ 50 + }\angle Z\text{ = 180 }\Rightarrow\text{ }\angle Z\text{ = 180 - 50}\angle Z\text{ = 130}\circ\text{ }\Rightarrow\angle K\text{ = 130}\circ

3 0
1 year ago
Pls answer for brainliest!!! thank you
pashok25 [27]

Answer:

$6 per week, $600 total

Step-by-step explanation:

$30 total divided equally by 5 weeks = $6 per week. She will rase $6 per week.

After she raises $30 more, her total will be $200. Since her father and mother will also match her total they will both give $200.

$200+$200+$200 (Father+mother+Jane)=$600 total by the family

have a nice day :)

5 0
3 years ago
What is the turning point or vertex of the parabola whose question is y=3x^2+6x-1
Anastaziya [24]

Answer:

I'm pretty sure the vertex is (-1, -4); apologizes if the answer turns out to be wrong

Step-by-step explanation:

as much as I would like to, I'm really not that great at explaining things

4 0
3 years ago
find the equation of a line that goes through the point (2,-3) and is perpendicular to the line y= -2/5x+6
GarryVolchara [31]
Find the negative reciprocal of the given line's slope in order to determine what the slope of the line will be.

-2/5 -> -5/2 -> 5/2

Your line now looks like this: y = 5/2x + b

Now, substitute the given point into the y and x variables and solve for b.

   y = 5/2x + b
  -3 = 5/2(2) + b
  -3 = 5 + b
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You are now done. The line is y = 5/2x - 8.
6 0
3 years ago
Read 2 more answers
What value of x satisfies the equation 7x+1=2.4 ?
Semmy [17]
7x+2=2.4
7x=.4
x=.4/7=2/35
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3 years ago
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