Find the slopes of the tangent lines to the given curves parametrics cos2t sin3t

Help me please . quick :)

ycow [4]

Answer:

x= 1

QS = 10 cm

QRS = 40cm

Step-by-step explanation:

4x + 1 = 5x

x= 1 cm

QS = 4x + 1 + 5x

= 9x + 1

= 9 + 1

= 10cm

QRS perimeter

QS + RQ + RS but ( RQ = RS)

= 10 + 15 + 15

= 40cm

3 0

3 years ago

An angle measured 10 degrees less than the measure of its complementary angle. Find the measure of both angles

Mazyrski [523]

Answer:

The measure of the angles are 40 degrees and 50 degrees

Step-by-step explanation:

Let

x ----> the measure of one angle in degrees

y ----> the measure of the complementary angle in degrees

we know that

If two angles are complementary, then their sum is equal to 90 degrees

so

$x+y=90$ ----> equation A

we have that

$x=y-10$ ----> equation B

Substitute equation B in equation A and solve for y

$(y-10)+y=90\\2y-10=90\\2y=100\\y=50$

Find the value of x

$x=50-10=40$

therefore

The measure of the angles are 40 degrees and 50 degrees

3 0

3 years ago

Hi! I need Help <br> What is the answer to (-37) - (+14)<br> Negative 37 minus positive 14

Dimas [21]

Answer: -51 my friend

Step-by-step explanation:

5 0

3 years ago

Write an equation that represents the line. Use exact numbers

mestny [16]

The equation that represents the line is:

$y = \frac{5}{6}x+\frac{8}{3}$

Step-by-step explanation:

We have to observe the graph to find the points on line

So the points on line are:

(x1,y1) = (4,6)

(x2,y2) = (-2,1)

First of all we have to find the slope

$m = \frac{y_2-y_1}{x_2-x_1}\\= \frac{1-6}{-2-4}\\=\frac{-5}{-6}\\=\frac{5}{6}$

Equation of line is given by:

$y=mx+b$

Putting the value of slope

$y = \frac{5}{6}x +b$

Putting (4,6) in the equation

$6 = \frac{5}{6}(4)+b\\6 = \frac{20}{6} +b\\b = 6 - \frac[20}{6}\\b = \frac{36-20}{6}\\b = \frac{16}{6}\\b = \frac{8}{3}$

Putting the value of b

$y = \frac{5}{6}x+\frac{8}{3}$

Hence,

The equation that represents the line is:

$y = \frac{5}{6}x+\frac{8}{3}$

Keywords: Equation of line, slope

Learn more about equation of line at:

#LearnwithBrainly

7 0

3 years ago

Solve each multiplication problem, use the cancellation method if possible, and reduce your answers. a. 39⁄64 × 8⁄13 b. 2⁄3 × 1⁄

blsea [12.9K]

A). 39⁄64 × 8⁄13 ====> 39 / 64 * 8 / 13 ===> 312/832 ==> 3 / 8 (Decimal: 0.375).

B). 2⁄3 × 1⁄5 × 4⁄7 ==> 2/3 * 1/5 * 4/7 ====> 8 / 105 ===> (Decimal: 0.07619)

C). 3⁄5 × 10⁄12 × 1⁄2 ===> 3/5 * 10/12 ===> 30/60 ===> 1/2 ==> 1/2 * 1/2 ===> 1/4 (Decimal: 0.25)

D). 4⁄9 × 54 ===> 4 * 54/ 9.1 ====> 216/9 ===> 24/1 ===> 24

E). 20 × 3 1⁄5 ===> 20 * 16/ 1.5 ====>320/5 ====> 64/1 =====> 64

F). 11 × 2 7⁄11 ====> 319/11 ====> 29/1 ======> 29

G). 5 1⁄3 × 5 1⁄8 ==> 16/3 * 41/8 ==> 656/24 ==> 82/3 ==> 27 1/3 ==> (Decimal: 27.33333)

H). 10 2⁄3 × 1 3⁄8 ===> 32/3 * 11/8 ===> 44 / 3 ===> 14 2/3 ==> (Decimal: 14.666667)

Hope that helps!!!! : )

7 0

3 years ago