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geniusboy [140]
3 years ago
5

Find the slope pls help

Mathematics
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
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