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Tanzania [10]
3 years ago
13

2x - 3y = -14 5x + 9y = -2

Mathematics
1 answer:
Firlakuza [10]3 years ago
8 0

Step-by-step explanation:

2x-3y= -14

5x+9y= -2

multiply the first one by 5 and the second one by -2 to get equal and opposite value of x.

➡️when you multiply,it will be

10x-15y= -70

-10x-18y= 4

cancel out each x value,then you get

-15y-18y= -70+4

-33y= -66, divide each side by -33 to get the value of y

⚪️y= 2

➡️substitute the value of y in the equation of (2x-3y= -14) to find the value of x

2x-3(2)= -14

2x-6= -14

2x= -14+6

2x= -8 divide both side by 2

⚪️x= -4

so the answer is (-4,2)

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Como se saca la raíz cuadrada?
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Answer:

La raíz cuadrada de cualquier número se puede expresar usando la fórmula: √y = y½.

8 0
2 years ago
Solve for the zeros of the quadratic function f(x) = 9x² + 6x + 1.
Nezavi [6.7K]

Answer:

\large\boxed{x=-\dfrac{1}{3}}

Step-by-step explanation:

f(x)=9x^2+6x+1\\\\\text{The zeros are for}\ f(x)=0\\\\9x^2+6x+1=0\\\\9x^2+3x+3x+1=0\\\\3x(3x+1)+1(3x+1)=0\\\\(3x+1)(3x+1)=0\\\\(3x+1)^2=0\iff3x+1=0\qquad\text{subtract 1 from both sides}\\\\3x=-1\qquad\text{divide both sides by 3}\\\\x=-\dfrac{1}{3}

8 0
3 years ago
Tara has 3/4 cup of ice cream. How many 1/5 -cup servings are in 3/4 cup of ice cream?​
saw5 [17]

Answer:

4/15

Step-by-step explanation:

because 1/5÷3/4=4/15

8 0
3 years ago
a cone has a radius of 6cm and height 9 calculate a)the volume and curved surface area b) total surface area
Orlov [11]

Answer:

V = 339.3 cm³; L = 203.9 cm²; A = 317.0 cm²  

Step-by-step explanation:

a) Volume

The formula for the volume (V) of a cone is

V = ⅓πr²h

V = ⅓π × 6² × 9

V = ⅓π × 36 × 9

V = 108π cm³

V ≈ 339.3 cm³

=====

Curved surface area  

The formula for the lateral surface area (L) of a cone is

L = πr√(r² + h²)

L = π×6√(36 + 81)

L = 6π√[9(4 + 9)]

L = 6π√(9 × 13)

L = 18π√13 cm²

L ≈ 203.9 cm²

===============

b) Base surface area

The base is a circle, so the formula for base surface area (B) is

B = πr²

B = π×6²

B = 36π cm²

B ≈ 113.1 cm²

=====

Total surface area

A = L + B

A = 18π√(13 +36π)

A = 18π(2 + √13) cm²

A ≈ 203.9 + 113.1

A ≈ 317.0 cm²

3 0
3 years ago
What is the height of a regular hexagonal based pyramid where its volume is equal to the side of the hexagon cubed?
azamat

Answer:

what i have lerned in this module

7 0
3 years ago
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