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Nana76 [90]
3 years ago
11

If a line has a slope of -5/2 , then a perpendicular line would have a slope of 5/2 .

Mathematics
1 answer:
Ivanshal [37]3 years ago
7 0
False, since if there are two perpendicular lines with gradients m1 and m2, then m1*m2 = -1.

Taking this example -5/2 multiplied by 5/2 is equal to -25/4, which is not equal to -1.

To find the actual gradient of the perpendicular line you would have to divide -1 by -5/2, which gives you 2/5.
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Find the discriminant and the number of real roots for this equation.
Margaret [11]

Our discriminant is 0 so, 4x^2 + 12x + 9 = 0 has one real root.

Option C is correct.

Step-by-step explanation:

we need to find the discriminant and the number of real roots for the following equation:

4x^2 + 12x + 9 = 0

The discriminant is found by using square root part of quadratic formula:

b^2-4ac

where b =12, a=4 and c=9

Putting values:

=b^2-4ac\\=(12)^2-4(4)(9)\\=144-144\\=0

To find out the number of real roots using discriminant we have following rules:

  • if discriminant b^2-4ac >0 then 2 real roots
  • if discriminant b^2-4ac =0 then 1 real root
  • if discriminant b^2-4ac <0 then no real roots

Since our discriminant b^2-4ac is 0 so, 4x^2 + 12x + 9 = 0 has one real root.

Option C is correct.

Keywords: discriminant

Learn more about discriminant at:

  • brainly.com/question/8196933
  • brainly.com/question/9328925
  • brainly.com/question/4853862

#learnwithBrainly

6 0
3 years ago
Can someone please answer this I have been having trouble with this question all day.
Degger [83]

Answer:

The answer is  right - male - 63     Left - male - 5

left - female - 7    right - female - 34

Step-by-step explanation:

68 -63 = 5

12 - 5 = 7

109 - 96 = 13

3 0
3 years ago
Find the slope of the line that passes through the ordered pairs (-2,8) and (-9,19)
Ilia_Sergeevich [38]

Answer:

slope: -11/7

Step-by-step explanation:

Slope is equal to the change in yy over the change in xx, or rise over run.

m=change in ychange in xm=change in ychange in x

The change in xx is equal to the difference in x-coordinates (also called run), and the change in yy is equal to the difference in y-coordinates (also called rise).

m=y2−y1x2−x1m=y2-y1x2-x1

Substitute in the values of xx and yy into the equation to find the slope.

m=19−(8)−9−(−2)m=19-(8)-9-(-2)

Simplify.

m=−11/7

6 0
2 years ago
Read 2 more answers
Graph the line using two points.y=- 3/ 5x+2
Flauer [41]
Ok for this you just plug any number for x and 2 is your y intercept ... -3/5 is slope slope is the change in y over the change in x so you go down 3 because the 3 is negative and to the right 5 because 5 is positive. so two points on the line y=3/5+2 are (-5,-1) and (-10, -4).
6 0
3 years ago
Select inductive reasoning, deductive reasoning, or neither. A courtroom spectator merely looks at the defendant and says, "He's
Alenkinab [10]
I'd say deductive.
inductive would be looking at his past crimes and asuuming that he's not guilty ,only to reach a contradiction. some thing like that

5 0
2 years ago
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