2 years ago

Find the gradients of lines A and B

Mathematics

1 answer:

mel-nik [20]2 years ago

6 0

Step-by-step explanation:

$the \: gradient \: of \: line \: a \: is$

$m = \frac{4}{1 } \\ m = 4$

$the \: gradient \: of \: line \: b \: is$

$m = \frac{ - 2}{1} \\ m = - 2$

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Sum of positive roots of the equation (x2 - 12x + 35) (x2 + 10x + 24) = 504 is

Digiron [165]

Answer:

(3)11

Step-by-step explanation:

We are given that

$(x^2-12x+35)(x^2+10x+24)=504$

We have to find the sum of positive roots of the equation.

$x^2(x^2+10x+24)-12x(x^2+10x+24)+35(x^2+10x+24)=504$

$x^4+10x^3+24x^2-12x^3-120x^2-288x+35x^2+350x+840=504$

$x^4-2x^3-61x^2+62x+840-504=0$

$x^4-2x^3-61x^2+62x+336=0$

Factor of 336

2,3,4,6,8,7,

Let x=2

$2^4-2^4-61(2^2)+62(2)+336\neq0$

x=2 is not the root of equation

x=-2

$(-2)^4-2(-2)^3-61(-2)^2+62(-2)+336=0$

Hence x=-2 is the root of equation.

x+2 is a factor of equation.

x=3

$3^4-2(3^3)-61(3^2)+62(3)+336=0$

Therefore, x=3 is the root of equation.

$(x+2)(x-3)(x^2-x-56)=0$

$(x+2)(x-3)(x^2-8x+7x-56)=0$

$(x+2)(x-3)(x(x-8)+7(x-8))=0$

$(x+2)(x-3)(x-8)(x+7)=0$

$x-8=0\implies x=8$

$x+7=0\implies x=-7$

Positive roots are 3 and 8

Sum of positive roots=3+8=11

Option (3) is true.

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1 year ago

In the local coed softball league the male to female ratio is 6:6 if there are a 160 players in the league how many are female

Lemur [1.5K]

80 because wht the ratio is implying is that for every boy there is the same amount of girls

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2 years ago

You and your friend are standing back-to-back. Your friend runs 16 feet forward and then 12 feet right. At the same time, you ru

Anika [276]

16-12=4ft long 9-12=3ft 4+3=7ft 7 feet long

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2 years ago

Read 2 more answers

Which two values of x are roots of the polynomial below?<br> 4x2-6x+1

viva [34]

Answer:

4x2-6x+1

∆=√-6^2-4×1×4

∆=√36-16=√20

∆=2√5

root1=(6+√20)/8

root2=(6-√20)/8

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1 year ago

Papessa [141]

Answer: can you explain what you mean because its just numbers

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2 years ago