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2 years ago

Solve the system (PICTURE) by graphing

Mathematics

1 answer:

erastova [34]2 years ago

5 0

Answer:

The solution of the system of equations is the point $(-3,-4)$

Step-by-step explanation:

we have

$y=x-1$ -----> equation A

$y=-\frac{4}{3}x-8$ -----> equation B

we know that

The solution of the system of equations, is the intersection point both graphs

Using a graphing tool

The intersection point is $(-3,-4)$

see the attached figure

therefore

The solution of the system of equations is the point $(-3,-4)$

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What is the radius of a cylinder if it has a volume of 769.3 cubic meters and a height of 5 meters? (Use 3.14 for π.) 49 m 14 m

Deffense [45]

Answer:

Step-by-step explanation:

v=πr^2h

769.3=3.14*r^2*5

769.3=15.7r^2

769.3/15.7=15.7r^2/15.7

49=r^2

√49=√r^2

√49=r

r=7m

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2 years ago

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Find the exact length of the curve. x = 9 + 9t2, y = 6 + 6t3, 0 ≤ t ≤ 4

andrew11 [14]

ANSWER

$=102 \sqrt{ 17}$

EXPLANATION

The equation of the curve is:

$x = 9 + 9 {t}^{2}$

$y = 6 + 6 {t}^{3}$

We differentiate to obtain:

$\frac{dx}{dt} = 18t$

$\frac{dy}{dt} = 18t$

The length of the arc

$l = \int _0 ^{4} \sqrt{ {( \frac{dx}{dt} )}^{2} + {( \frac{dy}{dt} )}^{2} } dt$

This implies that:

$= \int _0 ^{4} \sqrt{ {( 18t )}^{2} + {( {18 {t}^{2} } )}^{2} } dt$

$= \int _0 ^{4} 18t \sqrt{ 1+ { {18 {t}^{2} } }} dt$

$=102 \sqrt{ 17}$

3 0

3 years ago

Find the product of the complex number and it's conjugate. 9-5i

Dennis_Churaev [7]

Conjugate of 9-5i is 9+5i
product of those two: (9-5i)*(9+5i) = $9^{2} - (5i)^{2} =81-25* i^{2} =81-25*(-1)=81+25=106$

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3 years ago

A rectangular piece of cheese is 9 centimeters long is 5 centimeters wide. What is the perimeter

denis23 [38]

Solution:

We know that:

Perimeter of rectangle = 2L + 2B

Given:

L = 9 cm
W = 5 cm

Substitute the values into the expression to find the perimeter.

Perimeter of rectangle = 2L + 2B
=> 2(9) + 2(5)
=> 18 + 10
=> 28 cm

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2 years ago

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Mischa dives from a platform that is 5 meters above the water. Her dive takes her 2.8 meters below the surface of the water. How

Kobotan [32]

Answer:

7.8 meters

Step-by-step explanation:

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2 years ago