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2 years ago

(7m+6) (6m^2+4m+4) I really suck at math

Mathematics

2 answers:

lions [1.4K]2 years ago

5 0

Answer:

Step-by-step explanation:

$(7m + 6)(6 {m}^{2} + 4m + 4)$

$= 7m(6 {m}^{2} + 4m + 4) + 6(6 {m}^{2} + 4m + 4)$

$= 42 {m}^{3} + 28 {m}^{2} + 28m + 36 {m}^{2} + 24m + 24$

$= 42 {m}^{3} + 64 {m}^{2} + 52m + 24( ans)$

Ostrovityanka [42]2 years ago

3 0

$\large\mathfrak{{\pmb{\underline{\orange{Your\:answer }}{\orange{:}}}}}$

$:⟼ (7m + 6)(6 {m}^{2} + 4m + 4)$

$:⟼ 7m \: (6 {m}^{2} + 4m + 4) + 6 \: (6 {m}^{2} + 4m + 4)$

$:⟼ 42 {m}^{3} + 28 {m}^{2} + 28m + 36 {m}^{2} +24 m + 24$

$:⟼ 42 {m}^{3} + 28 {m}^{2} + 36 {m}^{2} + 28m + 24m + 24$

$:⟼ 42 {m}^{3} + 64 {m}^{2} + 52m + 24$

$:⟼ 2(21 {m}^{3} + 32 {m}^{2} + 26m + 12)$

$\sf \bf {\boxed {\mathbb {HAPPY\:LEARNING.}}}$

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Step-by-step explanation:

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Answer:

Event A: 1/35

Event B: 1/840

Explanation:

Event A

For the event A, the order of the first 4 acts does not matter.

The number of different four acts taken from a set of seven acts, when the order does not matter, is calculated using the concept of combinations.

Thus, the number of ways that the first four acts can be scheduled is:

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And the number of ways that four acts is the singer, the juggler, the guitarist, and the violinist, in any order, is 1: C(4,4).

Therefore the probability of Event A is:

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Event B

Now the order matters. The difference between combinations and permutations is ordering. When the order matters you need to use permutations.

The number of ways in which four acts can be scheculed when the order matters is:

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Makovka662 [10]

Answer:

From top to bottom:

A, J, E, B, I, C, D, G, F, H

See below for more clarification.

Step-by-step explanation:

We are given that AB is parallel to CD, XY is the perpendicular bisector of AB, and E is the midpoint of XY. And we want to prove that ΔAEB ≅ ΔDEC.

Statements:

1) XY is perpendicular to AB.

Definition of perpendicular bisector.

2) XY ⊥ CD.

In a plane, if a transveral is perpendicular to one of the two parallel lines, then it is perpendicular to the other.

3) m∠AXE = 90°, m∠DYE = 90°.

Definition of perpendicular lines.

4) ∠AXE ≅ ∠DYE.

Right angles are congruent.

5) XE ≅ YE

Definition of a midpoint.

6) ∠A ≅ ∠D.

Alternate Interior Angles Theorem

7) ΔAEX ≅ ΔDEY

AAS Triangle Congruence*

(*∠A ≅ ∠D, ∠AXE ≅ ∠DYE, and XE ≅ YE)

8) AE ≅ DE

Corresponding parts of congruent triangles are congruent (CPCTC).

9) ∠AEB ≅ ∠DEC

Vertical Angles Theorem

10) ΔAEB ≅ ΔDEC

ASA Triangle Congruence**

(**∠A ≅ ∠D, AE ≅ DE, and ∠AEB ≅ ∠DEC)

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