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3 years ago

Help me with number 6 please

Mathematics

2 answers:

Jobisdone [24]3 years ago

8 0

Bcde
the answer is above

blagie [28]3 years ago

6 0

The answer is D EFD=GFH

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Help:<br> <img src="https://tex.z-dn.net/?f=1.%5C%20%26x%5E4-61x%5E2%2B900%3D0%20%5C%5C%202.%20%5C%20%26%20x%5E4-25x%5E2%2B144%3

yawa3891 [41]

$\bf{1) \ x^4-61x^2+900=0 }$

Applying the factorization method, for example:

$\bf{ 0=(x^2)^2-61(x^2)+900=(x^2-36)(x^2-25)}$

$\bf{\\ &=(x+6)(x-6)(x+5)(x-5); }$

$\bf{ x_1=6 \quad x_2=-6 \quad \ \ \ x_3=5 \quad x_4=5 }$

$\bf{2) \ x^4-25x^2+144=0 }$

Applying the factorization method:

$\bf{0&=(x^2)^2-25(x^2)+144=(x^2-16)(x^2-9) }$

$\bf{ =(x-4)(x+4)(x-3)(x+3); }$

$\bf{ x_1=4 \quad x_2=-4 \quad x_3=3 \quad x_4=-3 }$

7 0

1 year ago

Which number is 5.389 rounded to the nearest hundredth? A 5.4 B 5.38 © 5.39 05.399

ankoles [38]

Answer:

c) 5.39

Step-by-step explanation:

The digit that is in the hundredths place is the 8. (The hundredths are two digits to the right of the point).

The thousandths in this case would be the 9, since the 9 is close to the next hundredth, the nearest hundredth would be 9 (adding 1 to the 8), therefore the number would be 5.39

7 0

3 years ago

A 100-meter-long christmas train needs 30 seconds to cross a 400-meter-long bridge. assuming the train goes at a steady speed, h

san4es73 [151]

Length of train : 100
length of bridge : 400
distance covered by the train to cross the bridge : (100 + 400) = 500
time taken by the train to cross : 30

speed = distance / time
speed = 500/30
speed = 16.67 meters per second <===

8 0

3 years ago

What is the reciprocal of the sum of a half, a third, and a fourth?

soldier1979 [14.2K]

Answer

12/13

Step-by-step explanation:

1/2+1/3+1/4=?

6/12+4/12+3/12=?

13/12

Reciprocal is 12/13

3 0

3 years ago

Given triangle DOG is congruent to triangle CAT, which reason could you use to prove that angle G is congruent to angle T?

quester [9]

Answer:

The correct option is;

d) CPCTC

Step-by-step explanation:

The phrase Corresponding Parts of Congruent Triangles are Congruent with the acronym CPCTC, is used as valid reasoning in the provision of a proof, after the existence of congruency between two triangles has been proven

Given that the triangles ΔDOG and ΔCAT have been proven congruent, we have that the corresponding vertices are;

Vertex D corresponds to vertex C

Vertex O corresponds to vertex A

Vertex G corresponds to vertex T

Therefore, given that ΔDOG ≅ ΔCAT, we have;

∠D ≅ ∠C by CPCTC

∠O ≅ ∠A by CPCTC

∠G ≅ ∠T by CPCTC.

3 0

2 years ago