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geniusboy [140]

3 years ago

5

Find the slope pls help

1 answer:

zavuch27 [327]3 years ago

6 0

Answer:

slope = $\frac{3}{2}$

Step-by-step explanation:

Calculate the slope m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (- 2, 2) and (x₂, y₂ ) = (0, 5) ← 2 ordered pairs from the table

m = $\frac{5-2}{0+2}$ = $\frac{3}{2}$

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Measurement of a circle<br><br> (Giving brainliest to correct answer)

xxMikexx [17]

Answer:

C. $9\pi$

Step-by-step explanation:

VU is tangent $\odot W$ at point U and WU is radius.

$\therefore WU \perp VU$

$\implies m\angle VUW=90\degree$

$\therefore \triangle VUW$ is right angle triangle.

WZ = WU = x - 1 (Radii of same circle)

WV = x - 1 + 2 = x + 1

By Pythagoras Theorem:

$WU^2 + VU^2 = WV^2$

$(x-1)^2 +(2x-4) ^2 = (x+1)^2$

$x^2 -2x +1+ 4x^2 -16x + 16=x^2 +2x +1$

$4x^2 -20x + 16=0$

$x^2 -5x + 4=0$

$x^2 -5x + 4=0$

Equating it with

$ax^2 +bx +c=0$

We find:

a = 1, b = - 5, c = 4

$b^2 - 4ac =(-5)^2 - 4(1)(4)= 25-16 =9$

$x=\frac{-b\pm \sqrt{b^2 - 4ac}}{2a}$

$x=\frac{-(-5)\pm \sqrt{9}}{2\times 1}$

$x=\frac{5\pm 3}{2}$

$x=\frac{5+3}{2}, \: x =\frac{5-3}{2}$

$x=\frac{8}{2}, \: x =\frac{2}{2}$

$x=4, \: x =1$

When x = 4, radius (r) = 4 - 1 = 3

When x = 1, radius (r) = 1 - 1 = 0, which is not possible.

Area of $\odot W$

$=\pi r^2$

$=\pi (3)^2$

$=9\pi$

4 0

3 years ago

Find the angle of depression

KatRina [158]

The angle of depression is 35 degree in the right angle triangle if the angle BAC is 55 degree.

<h3>What is trigonometry?</h3>

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

We have shown a right-angle triangle in the picture.

In the right angle triangle, ABC

The angle BAC = 55 degree

Angle BAA' = 90 degree

In the figure, the angle of depression = CAA'

= BAA' - BAC

= 90 - 55

= 35 degree

Thus, the angle of depression is 35 degree in the right angle triangle if the angle BAC is 55 degree.

Learn more about trigonometry here:

brainly.com/question/26719838

#SPJ1

7 0

2 years ago

A television is identified by the diagonal measurement of the of screen. A television has a 36 inch screen whose height is 22 in

GuDViN [60]

Answer:

28.5 inches.

Step-by-step explanation:

Given: Measurement of diagonal= 36 inch.

Height= 22 inches

Picture attached to show the measurement.

As the screen of televison is measured by diagonal of screen.

∴ Hypotenous= diagonal of screen, which is 36 inches.

Now, using pythagorean theoram to find length of television screen.

$hypotenous^{2} = opposite^{2}+adjacent^{2}$

∴ $36^{2} = 22^{2} + adjacent^{2}$

Here adjacent is the length of television.

⇒ $1296= 484+ length^{2}$

Subtracting both side by 484.

⇒ $length^{2} = 812$

Taking square root on both side

remember: $\sqrt{a^{2} } = a$

∴ $length= \sqrt{812}= 28.495 \approx 28.5$

Hence, length of televison screen is 28.5 inches.

6 0

4 years ago

A salesperson earns a weekly salary of $800 plus a commission rate of 4% on all sales. what did the salesperson make for a wee

DochEvi [55]

$800 + 4%(1600)=
$800 + $64 =
$864

7 0

3 years ago

What is the formula for the circumference using the radius below?

Nat2105 [25]

Answer:

2π(5)

Step-by-step explanation:

Circumference

C=2πr

7 0

3 years ago