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Allushta [10]
3 years ago
13

The product of the roots of 5 - 2m - 3m^2 = 0 is: A. -5/3 B. -3/5 C. 5/3

Mathematics
2 answers:
dimaraw [331]3 years ago
7 0
<span>m= <span><span><span><span>−5/</span>3 </span></span></span></span><span>   ,swnkadkjkkjmd,m,mdas</span>
svlad2 [7]3 years ago
4 0

Answer:

The correct option is A.

Step-by-step explanation:

The given equation is

5-2m-3m^2=0         ..... (1)

If a quadratic equation is defined as

ax^2+bx+c=0         ...... (2)

then product of roots is c/a.

From (1) and (2), we get

a=-3,b=-2,c=5

So, the product of the roots of given equation is

\text{Product of roots}=\frac{c}{a}

\text{Product of roots}=\frac{5}{-3}

\text{Product of roots}=-\frac{5}{3}

Therefore the correct option is A.

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The length of a rectangle is 4 centimeters more than twice its width of the perimeter of the rectangle is 86centimeters find the
lana66690 [7]

Answer:

Width= 13 cm

length=30cm

Step-by-step explanation:

Let the length of the rectangle be 'L'

And the width of the rectangle be 'W'

Perimeter= 86 cm

According to the statement:

        Length= 2*Width+4\\L=2W+4

Perimeter of a rectangle= 2(Length+Width)

86=2(2W+4+W)\\86/2=3W+4\\43=3W+4\\3W=43-4\\3W=39\\W=39/3\\W=13 cm\\\\Length(L)=2W+4\\=2(13)+4=26+4=30 cm\\Length=30 cm

                               Width= 13 cm

                                length=30cm

6 0
3 years ago
can someone explain it to me, i don't need the answer, i just need an detailed explanation of how they got the answer using the
zubka84 [21]

Answer:

Step-by-step explanation:

Good idea to review quadratic functions and the quadratic formula.

Quadratics have three coefficients:  ax² + bx + c, and the "discriminant" is defined as b²-4ac.  Please review these rules:

1) if the discriminant is +, the quadratic equation has two real, unequal roots.

2) if the disc. is 0, the equation has two real, equal root.

3) If the disc. is - , the equation has two complex roots.

Here a = 1, b  = -3 and c = 4.  Therefore the discriminant is (-3)²-4(1)(4), or

-7.  Rule 3) applies:  the equation has two complex roots, but no real ones.  Thus we know that the graph does not cross the x-axis.

Graphing the given quadratic, x² - 3x + 4, using a dashed "line," is helpful.  As you can see in the illustration of this graph, the graph neither touches nor crosses the x-axis.  Thus, y = x² - 3x + 4 is greater than 0 for all x.  The answer:  All real numbers.

4 0
3 years ago
Find the distance between the points <br> (-8,-6) and (4, 10)
never [62]

Answer:

d=20

Step-by-step explanation:

To find the distance between 2 points we use the distance formula

d = √(x2 - x1)²+(y2 - y1)²

The given points are (x1= -8, y1 = -6) and (x2 = 4, y2 = 10).

Substitute the given points into the distance formula.

d = √(4 + 8)²+(10 +6)²

d = √144+252

d= √400

d = 20

3 0
3 years ago
Which function is equivalent to y = 2(x – 4)^2 + 8?
Flura [38]

Answer:

B: y = 2x² - 16x + 40

Step-by-step explanation:

You can find this simply by expanding the given function:

y = 2(x - 4)² + 8

y = 2(x² - 8x + 16) + 8

y = 2x² - 16x + 32 + 8

y = 2x² - 16x + 40

8 0
2 years ago
What is the opposite value of -29
omeli [17]

Answer:

positive 29

Step-by-step explanation:

4 0
3 years ago
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