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lara31 [8.8K]
3 years ago
7

Using quadratic formula

Mathematics
1 answer:
Amanda [17]3 years ago
3 0
4 +- √16 - 4(2)(1) / 4 --> 4 +- √8 / 4 --> 4 +- 2√2 / 4 --> 2 +- √2/2 
Ans: 2 + √2/2 and 2 - √2/2
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write an equation of the line with the following information. Through (4,1) and perpendicular to y=1/3x +3
Yakvenalex [24]
Perpendicular means the two lines' slopes are negative reciprocal to each other. the slope of the given line is 1/3, therefore the slope of the perpendicular line is -3/1, which is -3
use the point-slope form: the given point is (4,1), so (y-1)=-3(x-4)
you can stop right here or you can write it into slope intercept form:
y-1=-3x+12
y=-3x+13
5 0
3 years ago
2. What is the solution to the inequality<br> --4x &gt; 132? Show your work
laila [671]

Answer:

x < -33 ( mark me as the brainliest )

Step-by-step explanation:

1) -4x > 132

2) -4x/4 > 132/-4

3) x < -33

5 0
3 years ago
If f(x)=x+7 and g(x)=2x-3 what is (f-g)(x)
aalyn [17]

Answer:

-x + 10

Step-by-step explanation:

(x + 7) - (2x-3)

x + 7 - 2x - 3

x - 2x

-x + 7 + 3

-x + 10

4 0
3 years ago
A figure has 4 sides. One pair of opposite sides are each 2 inches long. The other pair of opposite sides are each 5 inches long
matrenka [14]
Your answer is 14 inches.
5 0
3 years ago
Read 2 more answers
Darrin graphs the following inequality: y &gt; -3x -5. Does the side of the line with all solutions (the shaded region) include
Anarel [89]

Yes it does include the test point (0, 0)

  • equation:  y > -3x -5

<h3>Find y-intercept:</h3>
  • y > -3(0) -5
  • y > -5

<h3>Find x-intercept:</h3>
  • y > -3x -5

<u>switch sides</u>

  • -3x - 5 < 0
  • -3x < 5

<u>Multiply both sides by -1 reverses the inequality</u>

  • x > -5/3

Thus, the following (0, 0) comes under the following x > -5/3 and y > -5

3 0
2 years ago
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