3. Which quadratic equation has 2 and —3 as its roots?

Mathematics

1 answer:

Digiron [165]2 years ago

3 0

Answer:

Step-by-step explanation:

x2 + x -6 = (x-2)(x+3)

x = 2, -3

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What is the value of z in the diagram?

lutik1710 [3]

Answer:

Step-by-step explanation:

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3 years ago

57=100<br> 36=?%<br><br> 36=?%.............

ivolga24 [154]

Answer:

?= 63.15789474%

Step-by-step explanation:

Use cross multiply

Set ?=x

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which set of number could represent the length of the sides of a right triangle? A 9 11 14 B 15 18 21 C 7 24 25 D 8 9 10

EastWind [94]

Common Pythagorean triples include
(3, 4, 5)
(5, 12, 13)
(7, 24, 25)
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The arithmetic sequences of selections B and D are unrelated to the (3, 4, 5) triple, so cannot be Pythagorean triples. For selection A, we know that 9² + 11² = 81 + 121 = 202 > 14², so that is not a right triangle.

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Determine the equation of the line that passes through the points of intersection of the graphs of the quadratic functions f(x)

timofeeve [1]

Answer: $x-2y-2=0$

Step-by-step explanation:

Given :

$f(x) = x^2 - 4 \\ g(x) = - 3x^2 + 2x + 8$

Point of intersection :

$f(x)=g(x)\\x^2-4=-3x^2+2x+8\\4x^2-2x-12=0\\2x^2-x-6=0\\2x^2-4x+3x-6=0\\2x(x-2)+3(x-2)=0\\(x-2)(2x+3)=0\\x=2\,,\,\frac{-3}{2}$

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So, we have points $\left ( 2,0 \right )\,,\,\left ( -1.5,-1.75\ \right )$

Equation of line passing through two points $\left ( x_1,y_1 \right )\,,\,\left ( x_2,y_2 \right )$ is given by $y-y_1=\frac{y_2-y_1}{x_2-x_1}\left ( x-x_1 \right )$