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2 years ago

9

Write an expression to represent the sum of the numbers in the nth row of Pascal’s triangle

2 answers:

Troyanec [42]2 years ago

6 0

B-n^2. :) your answer

rjkz [21]2 years ago

5 0

Answer:

c. 2^n

Step-by-step explanation:

just took the test

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leva [86]

1. Total
2. Deficit
( hope this helps)

4 0

3 years ago

Brianna received pledge amounts of $89, $35, $22, $36,

Alex17521 [72]

Answer:mean

Step-by-step explanation: I am also not sure because I been looking for the anwser to this but I think it’s mean

5 0

2 years ago

A triangle has a perimeter of 10a + 3b + 12 and has sides of length 3a + 8 and 5a + b what is the length of the third side ?

RideAnS [48]

Answer:

2a +2b +4

Step-by-step explanation:

The perimeter is the sum of the lengths of the three sides. If x represents the length of the third side, then ...

(3a +8) +(5a +b) +x = (10a +3b +12)

Subtracting from the equation everything on the left side that is not x, we get ...

x = (10a +3b +12) -(3a +8) -(5a +b)

= a(10 -3 -5) +b(3 -1) +(12 -8)

= 2a +2b +4

The length of the third side is 2a +2b +4.

5 0

2 years ago

What is the component form of the vector represented by 2a when a⃗ =〈−2,3〉?

Paladinen [302]

Answer:

$\vec v = 2\cdot \vec a = \langle -4,6 \rangle$

Step-by-step explanation:

Let $\vec a = \langle -2, 3 \rangle$ , we need to determine $\vec v = 2\cdot \vec a$ , which can be found by applying the following property:

$\alpha \cdot \langle x,y \rangle = \langle \alpha \cdot x, \alpha \cdot y\rangle$ , $\forall \,\alpha,x,y\in \mathbb{R}$ (1)

Then,

$\vec v = 2\cdot \langle -2,3 \rangle$

$\vec v = \langle -4,6 \rangle$

8 0

2 years ago

A rectangular lawn is 2 m longer than it is wide.

PtichkaEL [24]

Let's breadth be x

Length be x+2

ATQ

$\\ \sf\longmapsto x(x+2)=21$

$\\ \sf\longmapsto x^2+2x=21$

Use completing the square method

$\\ \sf\longmapsto 4(x^2+2x)=4(21)$

$\\ \sf\longmapsto 4x^2+8x=84$

$\\ \sf\longmapsto (2x)^2+2(2x)(2)=84$

$\\ \sf\longmapsto (2x)^2+2(2x)(2)+2^2=2^2+84$

$\\ \sf\longmapsto (2x+2)^2=88$

$\\ \sf\longmapsto 2x+2=\pm\sqrt{88}$

As it's dimensions we will take positive

$\\ \sf\longmapsto 2x+2\approx 9.7$

$\\ \sf\longmapsto 2x=9.7-2=7.7$

$\\ \sf\longmapsto x=3.8$

x+2=3.8+2=5.8

Now

$\\ \sf\longmapsto Perimeter=2(L+B)$

$\\ \sf\longmapsto perimeter=2(3.8+5.8)$

$\\ \sf\longmapsto perimeter=2(9.6)$

$\\ \sf\longmapsto Perimeter=19.2m$

Length of 1 strip=13m

Total strips

$\\ \sf\longmapsto \dfrac{19.2}{13}$

$\\ \sf\longmapsto 1.47strips$

She needs 2 strips

3 0

3 years ago

Read 2 more answers