3 years ago

deirdre is factoring the polynomial x squared plus 2x minus 24. which combination can she use to replace the middle term, 2x ?

Mathematics

1 answer:

Shkiper50 [21]3 years ago

3 0

we are given with

The polynomial x squared plus 2x minus 24

$\\\x^2+2x-24\\\\\=x^2+6x-4x-24\\\\\=x(x+6)-4(x+6)\\\\\=(x-4)(x+6)\\$

Hence the required combination is 6x and -4x

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Mademuasel [1]

B would be the right one

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2 years ago

1.3.33 Question Help A certain triangle has a perimeter of 3078 mi. The shortest side measures 71 mi less than the middle side,

maksim [4K]

Answer:

the shortest side is 855 miles long.

Step-by-step explanation:

a + b + c = 3078 miles

a = b - 71

c = b + 371

(b-71) + b + (b+371) = 3078

3b + 300 = 3078

3b = 2778

b = 926 miles

a = 926 - 71 = 855 miles

c = 926 + 371 = 1297 miles

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2 years ago

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3 years ago

Divided the following rational expressions<br> t^3-t^2-2t/t-5 divided by t^2-t-2

butalik [34]

t³-t²-2t/t -5 )/(t²-t-2)

(t^4-t^3-7t)/t^3-t^2-2t)

(t³-t²-7)/(t²-t-2)

I hope that's help !

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3 years ago

. Given that O is the centre of the following circle, find the values of the unknowns.

alex41 [277]

Given:

Radius of circle is 13 cm

Height of triangle is 5 cm

To find:

Value of 'a' and 'b'

Steps:

To find value of 'a', we will use Pythagoras theorem as the triangle is a right angle triangle,

A² + B² = C²

$a^{2} + 5^{2} = 13^{2}$

$a^{2} + 25 = 169$

$a^{2} = 169 - 25$

$a^{2} = 144$

$\sqrt{a^{2}}=\sqrt{144}$

$a = 12$

Now to find the value of 'b', i will use law of cosine,

$c=\sqrt{a^{2}+b^{2}-2ab(cos\beta ) }$

$12 = \sqrt{13^{2}+5^{2}-2(5)(13)(cos\beta )}\\12=\sqrt{169 + 25-130(cos\beta )}\\12=\sqrt{194-130(cos\beta )}\\144 = 194 - 130(cos\beta )\\50 = 130(cos\beta )\\cos\beta = 0.3846\\\beta = cos^{-1}(0.3846)\\\beta = 67.38$

Therefore, the values of 'a' and 'b' is 12 and 67.38 respectively

Happy to help :)

If u need any help feel free to ask

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2 years ago