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3 years ago

A point is plotted on the number line at 3.02. A second point is plotted on the number line at −11.4 .

Mathematics

1 answer:

tiny-mole [99]3 years ago

8 0

Answer:

14.42 units

Step-by-step explanation:

with segments most of the time if one is negative and one is positive you can ignore the minus sign and add them

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Find parametric equations for the path of a particle that moves along the circle x2 + (y − 1)2 = 16 in the manner described. (En

ArbitrLikvidat [17]

Answer:

a) $x = 4\cdot \cos t$ , $y = 1 + 4\cdot \sin t$ , b) $x = 4\cdot \cos t$ , $y = 1 + 4\cdot \sin t$ , c) $x = 4\cdot \cos \left(t+\frac{\pi}{2} \right)$ , $y = 1 + 4\cdot \sin \left(t + \frac{\pi}{2} \right)$ .

Step-by-step explanation:

The equation of the circle is:

$x^{2} + (y-1)^{2} = 16$

After some algebraic and trigonometric handling:

$\frac{x^{2}}{16} + \frac{(y-1)^{2}}{16} = 1$

$\frac{x^{2}}{16} + \frac{(y-1)^{2}}{16} = \cos^{2} t + \sin^{2} t$

Where:

$\frac{x}{4} = \cos t$

$\frac{y-1}{4} = \sin t$

Finally,

$x = 4\cdot \cos t$

$y = 1 + 4\cdot \sin t$

a) $x = 4\cdot \cos t$ , $y = 1 + 4\cdot \sin t$ .

b) $x = 4\cdot \cos t$ , $y = 1 + 4\cdot \sin t$ .

c) $x = 4\cdot \cos t''$ , $y = 1 + 4\cdot \sin t''$

Where:

$4\cdot \cos t' = 0$

$1 + 4\cdot \sin t' = 5$

The solution is $t' = \frac{\pi}{2}$

The parametric equations are:

$x = 4\cdot \cos \left(t+\frac{\pi}{2} \right)$

$y = 1 + 4\cdot \sin \left(t + \frac{\pi}{2} \right)$

7 0

3 years ago

A certain bank offers a car loan with a fixed annual interest rate. Justine applied for the loan and used the entire amount to b

natita [175]

Answer: $10000

Step-by-step explanation:

From the question,

Principal = $43000

Time = 5 years

Rate = Unknown

Simple Interest = $51,600 - $43000 = $8600

We need to calculate the rate of interest which will be:

Interest = PRT/100

8600 = (43000 × 5 × Rate) / 100

Cross multiply

8600 × 100 = 215000 × Rate

Rate = 860000 / 215000

Rate = 4%

Assuming Justine borrowed $50,000 instead, the yearly Interest will be:

= (50000 × 5 × 4%)

= 50000 × 5 × 0.04

= $10000

8 0

3 years ago

Please fill in the blanks! :D

ivann1987 [24]

Step-by-step explanation:

i think this is what you are asking for

5 0

3 years ago

Rick and Jon start walking from the same location. Rick starts 15 seconds before Jon and walks at a rate of 3 feet per second. J

stepan [7]

Answer:

hfjf fnnc v jud dbhj ejem emd jfbf

Step-by-step explanation:

4 0

3 years ago

Which equation results from taking the square root of both sides of (x 9)2 = 25? x 3 = ±5 x 3 = ±25 x 9 = ±5 x 9 = ±25.

kow [346]

The equation which is results from taking the square root of both sides of the provided equation is,

$(x+9)=\pm5\\$

<h3>What is the square root?</h3>

A square root of a number is the value which is when multiplicand by itself gives the same value as the number posses.

Let a number is <em>a. </em>Then this number in the form of square root can be written as,

$a=\sqrt{a}\times \sqrt{a}$

The given algebraic equation in the problem is,

$(x+ 9)^2 = 25$

Take the square root, in both sides,

$\sqrt{(x+ 9)^2} = \sqrt{25}\\\sqrt{(x+ 9)^2} = \sqrt{5^2}$

Cancel out the square root with the square of the number as,

$(x+9)=\pm5\\$

Hence, the equation which is results from taking the square root of both sides of the provided equation is,

$(x+9)=\pm5\\$

Learn more about the square root of number here;

brainly.com/question/664132

7 0

3 years ago