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3 years ago

What is the solution of the linear system 3x-2y=1 -x+4y=-27

Mathematics

1 answer:

rjkz [21]3 years ago

5 0

Solution of linear system: (-5, -8)

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If w= the weight of trout. Which algebraic expression represents the phrase below?

konstantin123 [22]

Product means multiplication.

Given w= weight of a trout.

So, we need to convert "product of 16 and weight of trout: w " into an algebraic expression.

So, product of 16 and w can be written as 16*w or simply 16w.

Hence, B is the correct choice.

8 0

3 years ago

Read 2 more answers

Find the value of x.

Shalnov [3]

Answer:

74 degrees

Step-by-step explanation:

The arc degree measurement of the arc that is colored in orange is given as 254 degrees.

The remaining part is the part in green.

The green part plus the orange part should equal 360 degrees because that would make a full rotation around the circle.

$360-254=106$ .

The green arc has measurement 106 degrees.

We can find x by computing half the difference of the arcs there.

That is,

$x=\frac{1}{2}(254-106)$

$x=\frac{1}{2}(148)$

$x=74$

8 0

3 years ago

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What is the leading coefficient of the polynomial? 7x + 5x2 − 9x3 − 10

expeople1 [14]

Answer:

The leading coefficient of the polynomial is -9.

Step-by-step explanation:

9 is the leading coefficient of this polynomial because if you rearrange the exponents from greatest to least, you will get this :

-9x3 + 5x2 + 7x -10

Your leading coefficient is the number included with your degree or highest exponent.

3 0

3 years ago

Find the major axis for the ellipse <br> x² + 16y2-96y + 128 = 0

Softa [21]

The major axis for the ellipse, x² + 16y² - 96y + 128 = 0 is the x-axis

To answer the question, we need to write it in the standard form of the equation of an ellipse

<h3>Equation of an ellipse</h3>

The equation of an ellipse centered at (h,k) is

(x - h)²/a² + (y - k)²/b² (1) where a > b and the major axis is parallel to the x axis

Given x² + 16y² - 96y + 128 = 0, we convert it into the standard equation of an ellipse.

So, x² + 16y² - 96y + 128 = 0

Dividing through by 16, we have

x²/16 + 16y²/16 - 96y/16 + 128/16 = 0/16

x²/16 + y² - 6y + 8 = 0

Completing the square in y by adding and subtracting (-6/2)² = (-3)²

x²/16 + y² - 6y + (-3)² - (-3)² + 8 = 0

x²/16 + (y - 3)² - 9 + 8 = 0

x²/16 + (y - 3)² - 1 = 0

x²/16 + (y - 3)² = 1

x²/4² + (y - 3)²/1² = 1 (2)

Comparing equations (1) and (2), we have that a = 4 and b = 1.

Since a = 4 > b = 1, the major axis for the ellipse is the x-axis

So, the major axis for the ellipse, x² + 16y² - 96y + 128 = 0 is the x-axis

Learn more about ellipse here:

brainly.com/question/26679189

#SPJ1

8 0

2 years ago

Find the volume of the pyramid.

lana66690 [7]

Answer:

140

Step-by-step explanation:

B=35

1/3 (35)(12)

= 140

6 0

3 years ago