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3 years ago

Which property of multiplication or addition was used to rewrite 5(2−7) as (2−7)5 ?

Mathematics

2 answers:

Talja [164]3 years ago

3 0

Associative property

Elza [17]3 years ago

3 0

This is the commutative property of multiplication:
a x b = b x a

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3 years ago

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2 years ago

Find the distance between these points. A(5,8), B(-3,4)

konstantin123 [22]

Answer:

Distance between the points is 8.94 units

Step-by-step explanation:

General formula:

${ \boxed{ \bf{distance = \sqrt{ {(x_{1} - x _{2} )}^{2} + {(y _{1} - y _{2} ) }^{2} } }}}$

substitute:

${ \sf{ = \sqrt{ {(5 - ( - 3))}^{2} + {(8 - 4)}^{2} } }} \\ = { \sf{ \sqrt{64 + 16} }} \\ = { \sf{ \sqrt{80} }} \\ = 8.94 \: units$

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3 years ago

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How many roots does the equation 3x² = 1 - 7x have and what is the nature of the roots

AnnyKZ [126]

Answer:

Step-by-step explanation:

Rewrite this quadratic in standard form: 3x^2 + 7x - 1.

The coefficients of x are {3, 7, -1}, and so the discriminant is b^2 - 4ac, or

7^2 - 4(3)(-1), or 49 + 12, or 61. Because the discriminant is positive, this quadratic has two real, unequal roots

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3 years ago

RSTUV - EABCD. Find AE.

larisa86 [58]

9514 1404 393

Answer:

AE = 3

Step-by-step explanation:

First of all, we need to find corresponding sides that are defined in both figures. The table below shows the given values.

From the table, we can write the proportion ...

EA/RS = BC/TU . . . corresponding sides are proportional

EA/6 = 4/8 . . . . . . . substitute given lengths

EA = 6(4/8) = 3

The length of AE is 3 units.

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2 years ago