FACTORISE = 4X²+ 17x+15 THX

Mathematics

2 answers:

Eva8 [605]3 years ago

8 0

4 * 15 = 60

x * y = 60
x + y = 17

What two numbers multiply to get 60 and add to get 17

EleoNora [17]3 years ago

6 0

Answer:

$\sf (4x +5)(x+3)$

explanation:

$\sf 4x^2 + 17x + 15$

common term of 15 and 4 is 60: [ 12 * 5 ]

$\sf 4x^2 +12x+5x+ 15$

break down and factorise

$\sf 4x(x+3) +5(x+3)$

group them together

$\sf (4x +5)(x+3)$

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Find the distance of the line segment joining the two points (-4 /2 - /12) and (/32, 2/3)

astraxan [27]

Answer: $4\sqrt{3}$ .

Step-by-step explanation:

Distance formula : Distance between points (a,b) and (c,d) is given by :-

$D=\sqrt{(d-b)^2+(b-a)^2}$

Distance between points $(-4\sqrt{2},\sqrt{12}) \text{ and }(-\sqrt{32}, 2\sqrt{3})$ .

$D=\sqrt{(2\sqrt{3}-(-\sqrt{12}))^2+(-\sqrt{32}-(-4\sqrt{2}))}\\\\=\sqrt{(2\sqrt{3}+\sqrt{2\times2\times3})^2+(-\sqrt{4\times4\times2}+4\sqrt{2})^2}\\\\=\sqrt{(2\sqrt{3}-\sqrt{2^2\times3})^2+(-\sqrt{4^2\times2}+4\sqrt{2})^2}\\\\=\sqrt{(2\sqrt{3}+2\sqrt{3})^2+(-4\sqrt{2}+4\sqrt{2})^2}\\\\=\sqrt{(4\sqrt{3})^2+0}\\\\=4\sqrt{3}\text{ units}$