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3 years ago

Solve 2x+3y=5 and 4x-y=17 using the method of elimination

Mathematics

2 answers:

vladimir2022 [97]3 years ago

6 0

X=4, Y= -1, hope it helps

liberstina [14]3 years ago

5 0

I did it out on paper if you needed to show work. But y is -1 and x is 1

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Sketch the curve with the given vector equation. Indicate with an arrow the direction in which t increases. r(t) = 4 cos(t)i + 4

slega [8]

Answer:

The equation to this question is " $x^2+y^2=16$ "

Step-by-step explanation:

Given value:

$\to r(t) = 4 \cos (t)i + 4 sin(t)j + k\\where \\\\\to x(t)= 4 \cos t\\\to y(t) = 4 \sin t\\\to z(t)=1\\$

$\to x^2+y^2= 16 \cos^2 t +16 \sin^2 t\\\\\to x^2+y^2= 16 (\cos^2 t +\sin^2 t)\\\\\therefore (\cos^2 t +\sin^2 t =1)\\\\\to x^2+y^2= 16 (1)\\\\\to x^2+y^2= 16\\\\\to z=1$

So, the curve $r(t) = 4 \cos (t)i + 4 sin(t)j + k$ is basically a circle, which is defined in the attachment file.

7 0

3 years ago

If the perimeter of a square is 20, find the length of a diagonal

avanturin [10]

Answer:

7.07

Step-by-step explanation:

<h2><u>Length</u></h2>

a square has equal length on each side

hence is the perimeter is 20 it means that :

each side is 20/4 = 5

we can make a diagonal line which create 3 right angled triangles

2 sides of the triangle are 5 , this is the base and the height

to find the length we can make use of the Pythagoras theorem

c^2 = a^2 + b^2

c is the hypotenuse ( the diagonal;)

a and b are the opposite and adjacent

hence :

c^2 = 5 ^2 + 5^2

c^2 = 50

c = $\sqrt{50}$

c = 7.071

to 3sf

<h3><u>diagonal length = 7.07</u></h3>

6 0

3 years ago

HELP!! Examine this system of equations. Which numbers can be multiplied by each equation so that when the two equations are add

vekshin1

1/4*x - 1/6*y= 5 |*18
4/5 *x + 3/8*y = 10 | *8

18/4*x -3*y= 90
32/5*x + 3y = 80
-------------------------
18/4*x+32/5*x / = 170

The answer is a

4 0

3 years ago

Please help me with this pleaseee

torisob [31]

Answer:

x = 88.2

Step-by-step explanation:

The angle at the top of the triangle = 90° - 10° = 80°

and the left side of the triangle is x ( opposite sides of a rectangle )

Using the tangent ratio in the right triangle

tan80° = $\frac{opposite}{adjacent}$ = $\frac{500}{x}$

Multiply both sides by x

x × tan80° = 500 ( divide both sides by tan80° )

x = $\frac{500}{tan80}$ ≈ 88.2

5 0

3 years ago

The surface area of a right square pyramid is 50 square inches. If the sides of the base and the slant height of the pyramid are

AnnyKZ [126]

Answer:

Step-by-step explanation:

Hope it helpssss

5 0

3 years ago

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