Solve the system of linear equations by elimination.
9x+2y=39
6x+13y=−9

Answers

Answer 1

Answer:

y = -3

x = 5

Explanation:

$9x + 2y = 39 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: (2)\n 6x + 13y = - 9 \: \: \: \: \: \: \: \: \: \: \: \: ( - 3) \n \n 18x + 4y = 78 \n - 18x - 39y = 27 \n \n - 35y = 105 \n y = (105)/( - 35) \n y = - 3 \n \n \n 9x + 2y = 39 \n 9x + 2( - 3) = 39 \n 9x - 6 = 39 \n 9x = 39 + 6 \n 9x = 45 \n x = (45)/(9) \n x = 5$

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What is the exact volume of the sphere?. . A.. 463.01 m3. . B.. 147.456 m3. . C.. 96.46 m3. . D.. 36.868 m3

Answers

The volume of the sphere : ( r = 4.8 m )
V = 4/3 r³ π = 4/3 · ( 4.8 m )³ · 3.14 = 4/3 · 110.592 · 3.14 = 463.01 m³
Answer: A ) 463.01 m³

What is the exact volume of the sphere?

Answer: since you did not provide the sphere in order to find the volume there is no way to find the volume. In order to find the volume if a sphere we simply have to use the following formula : v = ¾(Pi)r³.

I hope it helps, Regards.

What is the additive inverse of the polynomial –9xy2 + 6x2y – 5x3?

Answers

Answer:

The additive inverse of given expression is $9xy^2-6x^2y+5x^3$ .

Step-by-step explanation:

The given polynomial is

$-9xy^2+6x^2y-5x^3$

Let a be any number and b is its additive inverse, then

$a+b=0$

$b=-a$

The value of b is equal to -a. It means the additive inverse of a is -a.

The additive inverse of given expression is

$-(-9xy^2+6x^2y-5x^3)=9xy^2-6x^2y+5x^3$

Therefore the additive inverse of given expression is $9xy^2-6x^2y+5x^3$ .

Additive inverse of 9xy² + 6x²y - 5x³

-1(9xy² + 6x²y - 5x³) ⇒ (-1)(9xy²) + (-1)(6x²y) + (-1)(-5x³)

-9xy² - 6x²y + 5x³ is the additive inverse of the given polynomial.

Write an equation of the direct variation that includes the point (-10,-17).

Answers

We know that when x= -10, y= -17.

So, if we put those into direct variation "y=kx", we get
-17= k(-10)
k = -17 / -10

Now we put the value of "k" into the formula and we get A (y= 17/10x )

For the system of equations shown below2x = −y + 6
−4x + 3y = 8
What is the solution to the system of equations?

Answers

2x=-y+6
-4x+3y=8
Rewriting the equations;
y+2x=6
3y-4x=8

Multiplying equation I by 3;
3y+6x=18
3y-4x=8
Subtracting equation II from equation I;
10x=10
x=1

Replacing for x in the first equation;
2x=-y+6
2(1)=-y+6
2=-y+6
2-6=-y
-4=-y
y=4

What is the most direct use of a compass in geometric constructions?A) to draw congruent angles

B) to draw arcs of a given size

C) to draw perpendicular lines

D) to draw straight lines

Answers

The most direct use of a compass in geometric constructions is to draw arcs of a given size.

What is the compass in geometry?

In geometry, a compass is a tool for drawing circles and arcs.

It consists of two arms, one with a pointed end and the other with a pencil or pen.

We have,

A compass is a tool used for drawing circles and arcs.

By adjusting the distance between the two arms of the compass, it can be used to draw circles and arcs of various sizes.

While a compass can also draw congruent angles and perpendicular lines, these constructions often require additional steps beyond simply drawing an arc of a given size.

Drawing straight lines typically requires using a straightedge, which is a different tool than a compass.

Thus,

The most direct use of a compass in geometric constructions is to draw arcs of a given size.

Learn more about compass in geometry here:

brainly.com/question/30909758

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(B) To draw arcs of a given size

Which of the following equations is in slope-intercept form?A.

2y = 3x – 1

B.

x = 3y – 1

C.

y = –3x

D.

9x = 2