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3 years ago

Factor the polynomial below. 9x squared minus 16y squared

Mathematics

1 answer:

GaryK [48]3 years ago

7 0

9x^2-16y^2=
(3x+4y)(3x-4y)

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A group of hikers walks 2 miles east and then 1 mile north. After taking a break, they then hike 4 miles east to their final des

kodGreya [7K]

Answer:

Intensity of the vector is v= √37 ≈ 6.08 units and make angle ∡α ≈ 9.46° with east direction

Step-by-step explanation:

Required vector is consists of the two components

vx= 2+4=6 units and vy= 1 unit and vx ⊥ vy

We will use Pythagorian theorem to find intensity of the vector v

v∧2 = vx∧2 + vy∧2 => v = √vx∧2 + vy∧2 = √6∧2 + 1∧2 = √36+1 = √37 ≈ 6.08 units

The angle ∡α between vector and east direction we wil find with tanα

tanα = 1/6 => α = arc tanα = arc 1/6 => α ≈ 9.46°

Good luck!!!

7 0

3 years ago

The sum of two numbers is twice their difference. The larger number is 2 more than twice the smaller

Alexandra [31]

The larger number is 6 and the smaller one is 2.

7 0

3 years ago

Perimeter = 24 meters<br> (x + 3) m<br> 2.xm

Pani-rosa [81]

Answer:

umm

Step-by-step explanation:

5 0

3 years ago

What is a formula for the nth term of the given sequence?<br> 36, 24, 16...

SpyIntel [72]

Answer:

The formula to find the nth term of the given sequence is 54 · $\frac{2}{3} ^{n}$

Step-by-step explanation:

The formula for nth term of an geometric progression is :

$a_{n} = \frac{a_{1}(r^{n})}{r}$

In this example, we have $a_{1}$ = 36 (the first term in the sequence) and

r = $\frac{2}{3}$ (the rate in which the sequence is changing).

Knowing what the values for r and $a_{1}$ are, now we can solve.

$a_{n} = \frac{a_{1}(r^{n})}{r}$ = $\frac{36 (\frac{2}{3} ^{n}) }{\frac{2}{3} }$ = 54 · $\frac{2}{3} ^{n}$

Therefore, the formula to find the nth term of the given sequence is

54 · $\frac{2}{3} ^{n}$

3 0

3 years ago

If a = 7 and b = 11, what is the measure of ∠B? (round to the nearest tenth of a degree)

Naddik [55]

Answer:

57.5 degrees

Step-by-step explanation:

Assuming this is a triangle

a is adjacent is ∠B

b is opposite of ∠B

Use the inverse tangent equation: $tan^{-1} (11/7)$

This equals to 57.52880771

3 0

3 years ago