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3 years ago

What is the distance between (8, -3) and (4, – 7)?

Mathematics

2 answers:

Dahasolnce [82]3 years ago

7 0

Answer:

Step-by-step explanation:

using

$\sqrt{(x2 - x1) + (y2 - y1)}$

$\sqrt{(8 - 3) + (4 - ( - 7)}$

$\sqrt{5 + 11}$

$\sqrt{16}$

$= 4$

prohojiy [21]3 years ago

4 0

Answer:

$\sqrt36$

Step-by-step explanation:

I got it right on the test

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An observer on top of a 50-foot tall lighthouse sees a boat at a 7° angle of depression. To the nearest foot, how far is the boa

Yuri [45]

Answer:

407.22 foot is the boat from the base of the lighthouse

Step-by-step explanation:

Given the statement: An observer on top of a 50-foot tall lighthouse sees a boat at a 7° angle of depression.

Let x foot be the distance of the object(boat) from the base of the lighthouse

Angle of depression = $7^{\circ}$

$\angle CAB = \angle DCA = 7^{\circ}$ [Alternate angle]

In triangle CAB:

To find AB = x foot.

Using tangent ratio:

$\tan (\theta) = \frac{Opposite side}{Adjacent Base}$

$\tan (\angle CAB) = \frac{BC}{AB}$

Here, BC = 50 foot and $\angle CAB =7^{\circ}$

then;

$\tan (7^{\circ}) = \frac{50}{x}$

$x = \frac{50}{\tan 7^{\circ}}$

$x = \frac{50}{0.1227845609}$

Simplify:

AB = x = 407.217321 foot

Therefore, the boat from the base of the light house is, 407.22'

5 0

3 years ago

How do i solve this equation?

Luden [163]

Answer:

x = 28

Step-by-step explanation:

(3x + 6^o) = 90^o

3x = 84^o

x = 28

7 0

3 years ago

Find all values of x for which the series converges. (enter your answer using interval notation. ) [infinity] (4x)n n = 1

andreyandreev [35.5K]

The series converges to 1/(1-9x) for -1/9<x<1/9

Given the series is ∑ $9x^{n} x^{n}$

We have to find the values of x for which the series converges.

We know,

∑ $ar^{n-1}$ converges to (a) / (1-r) if r < 1

Otherwise the series will diverge.

Here, ∑ $(9x)^{n}$ is a geometric series with |r| = | 9x |

And it converges for |9x| < 1

Hence, the given series gets converge for -1/9<x<1/9

And geometric series converges to a/(1-r)

Here, a = 1 and r = 9x

Therefore, a/(1-r) = 1/(1-9x)

Hence, the given series converges to 1/1-9x for -1/9<x<1/9

For more information about convergence of series, visit

brainly.com/question/15415793

#SPJ4

8 0

2 years ago

Graph the parabola.<br> y=-3x2 +6<br> PLEASE ANSWER quickly

beks73 [17]

Answer:

y = 12

Step-by-step explanation:

y = 3x2+6

= 6+6

= 12

y = 12

5 0

3 years ago

PLEASE ANSWER FAST ! NO SCAM LINKS OR REPORTED.

xenn [34]

Answer:

A the graph represents a linear function because

Step-by-step explanation:

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3 years ago