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liubo4ka [24]
3 years ago
15

State The Absolute value and the opposite of the number. -24, 8, 31, -17​

Mathematics
1 answer:
marshall27 [118]3 years ago
4 0

24

8

31

17

absolute value with positive numbers are always positive if I remember correctly.

oooo and the opposite

24

-8

-31

and 17

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What polynomial identity should be used to prove that 35 = 8 + 27
Julli [10]

Answer:

Sum of cubes identity should be used to prove 35 =3+27

Step-by-step explanation:

Prove that : 35 = 8 +27

Polynomial identities are just equations that are true, but identities are particularly useful for showing the relationship between two apparently unrelated expressions.

Sum of the cubes identity:

a^3+b^3=(a+b)(a^2-ab+b^2)

Take RHS

8+ 27

We can write 8 as 2 \times 2 \times 2 = 2^3 and 27 as 3 \times 3 \times 3 = 3^3.

then;

8+27 = 2^3+3^3

Now, use the sum of cubes identity;

here a =2 and b = 3

2^3+3^3 = (2+3)(2^2-2\cdot 3+3^2)

or

2^3+3^3 = (5)(4-6+9) = 5 \cdot 7 = 35 = LHS    proved!

therefore, the Sum of cubes polynomial identity should be used to prove that 35 = 8 +27

4 0
3 years ago
Read 2 more answers
Plzz help me I am helpless
horrorfan [7]

Answer: 0.25

<u>Step-by-step explanation:</u>

You need to convert the cm³ into m³

\frac{250,000(cm)(cm)(cm)}{}* \frac{1(m)}{100(cm)} * \frac{1(m)}{100(cm)}* \frac{1(m)}{100(cm)} = \frac{250,000m^{3}}{1,000,000}

= .25 m³ per m²

6 0
3 years ago
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In the number 5.3779, how does the value of 7 in the hundredths place compare to the value of the 7 in the thousandth place?
anygoal [31]

Answer:

  (b)

Step-by-step explanation:

The hundredths place is immediately to the left of the thousandths place. In our base-10 number system, moving a digit to the left one place increases its value by a factor of 10.

The value of 7 in the hundredths place is 10 times the value of 7 in the thousandths place.

6 0
2 years ago
Express the equation in the slope y-intercept form: y = mx + b. 2x−3y+1 = 0
horrorfan [7]

Answer:

y = 2/3x+1/3

Step-by-step explanation:

2x−3y+1 = 0

Solve for y

Add 3y to each side

2x−3y+1 +3y= 0+3y

2x +1 = 3y

Divide by 3

2/3 x + 1/3 =3y/3

2/3x +1/3 = y

The slope is 2/3 and the y intercept is 1/3

y = 2/3x+1/3

5 0
3 years ago
Drag a vertex of the triangle to change its shape.
likoan [24]

Answer:

The correct option is;

45°

Step-by-step explanation:

By angle sum theorem, we have that the sum of angles in a triangle = 180°

Therefore, we have;

When the interior angles of the triangle are constructed to be 60° and 75°, we have by the angle sum theorem;

The third angle + 60° + 75° = 180°

Which gives;

The third angle  = 180°- 60° - 75° = 180°- 135° = 45°

The measurement of the third angle by the angle sum theorem will be 45°

The correct option is ∠third angle = 45°.

8 0
3 years ago
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