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2 years ago

Find the distance CD rounded to the nearest tenth. C = (7,-4) and D = (-8,-5) CD = [?]

Mathematics

1 answer:

quester [9]2 years ago

7 0

Answer:

CD= 15.03

Step-by-step explanation:

x1=7, x2= -8

y1=-4, y2=-5

distance CD= √(x2- x1) 2+ (y2-y1)2

= √( -8-7)2 + [-5-(-4)]2

= √(15)2+ (-5+4)2

= √225+ (1)2

= √225+1

= √226

= 15.03

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Complex root of x^2+3x+9=0

Luden [163]

$\text{Quadratic formula}$

$ax^2+bx+c=0\\\\\Delta=b^2-4ac\\\\x_1=\dfrac{-b-\sqrt\Delta}{2a};\ x_2=\dfrac{-b+\sqrt\Delta}{2a}$

-----------------------------------------------------------------------

$x^2+3x+9=0\\\\a=1;\ b=3;\ c=9\\\\\Delta=3^2-4(1)(9)=9-36=-27\\\\\sqrt\Delta=\sqrt{-27}=\sqrt{(27)(-1)}=\sqrt{27}\cdot\sqrt{-1}=\sqrt{9\cdot3}i=\sqrt9\cdot\sqrt3i=3\sqrt3i$

$x_1=\dfrac{-3-3\sqrt3i}{2(1)}=-\dfrac{3}{2}-\dfrac{3\sqrt3}{2}i\\\\x_2=\dfrac{-3+3\sqrt3i}{2(1)}=-\dfrac{3}{2}+\dfrac{3\sqrt3}{2}i$

$i=\sqrt{-1}$

6 0

3 years ago

Solve using the lcd:<br> 1/x = 1/5 + 5/4x

Black_prince [1.1K]

The value is x= -5/4

The least common denominator is the smallest number of all the common multiples of the denominators when 2 or more fractions are given.

Given:

1/x = 1/5+ 5/4x

1/x = 4x + 25 / 20x

20= 4x +25

4x= -5

x= -5/4

Learn more about this concept here:

brainly.com/question/2605216

#SPJ1

6 0

2 years ago

If a car has tires with a diameter of 28 inches and is traveling at 55 mph, how fast are its tires spinning, in rpm^ prime s (re

Aleksandr-060686 [28]

Answer:

The tires are spinning at 660.49 revolutions per minute.

Step-by-step explanation:

The speed of the tires (v) is the same that the speed of the car, so to find the angular velocity of the tires we need to use the equation:

$\omega = \frac{v}{r}$

Where:

r: is the radius of the tires = d/2 = 28 inches/2 = 14 inches

$\omega = \frac{55 mph}{14 inches*\frac{1 mile}{63360 inches}} = 2.49 \cdot 10^{5} \frac{rad}{h}*\frac{1 h}{60 min}*\frac{1 rev}{2\pi rad} = 660.49 rpm$