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3 years ago

Solve the system of equations by substitution. Show your work in the sketch and write your answer as an ordered pair.

Mathematics

1 answer:

Ede4ka [16]3 years ago

3 0

Let's solve your system by substitution.

−3x+y=−2;y=4x

Rewrite equations:

y=4x;−3x+y=−2

Step: Solvey=4xfor y:

y=4x

Step: Substitute4xforyin−3x+y=−2:

−3x+y=−2

−3x+4x=−2

x=−2(Simplify both sides of the equation)

Step: Substitute−2forxiny=4x:

y=4x

y=(4)(−2)

y=−8(Simplify both sides of the equation)

Answer:

x=−2 and y=−8

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14x-35 is answer I think

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3 years ago

X2-3xy-5xy-7y2+4x2+8y2

Zepler [3.9K]

For this case we must simplify the following expression:

$x ^ 2-3xy-5xy-7y ^ 2 + 4x ^ 2 + 8y ^ 2$

We must add similar terms taking into account that:

Equal signs are added and the same sign is placed.

Different signs are subtracted and the major sign is placed.

$(x ^ 2 + 4x ^ 2) + (- 3xy-5xy) + (- 7y ^ 2 + 8y ^ 2) =\\5x ^ 2-8xy + y ^ 2$

Thus, the simplified expression is:

$5x ^ 2-8xy + y ^ 2$

Answer:

$5x ^ 2-8xy + y ^ 2$

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4 years ago

A 30 feet ladder is leaning against the wall. The top of the ladder is resting 25 feet on the building. How far is the base of t

g100num [7]

Answer:

16.58 feet

Step-by-step explanation:

a² + b² = c²

Think of this as a right triangle

The hypotenuse is 30, and one of the legs is 25

To find the other leg, subtract the square of the hypotenuse by the square of the given leg

30² - 25² = leg

900 - 625 = 275

Square root the answer to find the length of the missing leg

√275 = 16.583123951777

The leg is 16.58 ft.

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2 years ago

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Nookie1986 [14]

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2 years ago

Read 2 more answers

A small cylindrical has a diameter of 18mm and a height 12mm. Determine the minimum surface area of a box that can hold a row of

dimaraw [331]

Answer:

The surface are of a box = 1186.92 mm²

Step-by-step explanation:

Given in question as :

Diameter of cylinder = 18 mm

The height of cylinder = 12 mm

The surface area of cylinder = ( 2× $\pi$ ×r×h) + (2× $\pi$ ×r²)

where R is the radius , R = $\frac{Diameter}{2}$ = $\frac{18}{2}$

Or Radius r = 9 mm

Or, The surface area of cylinder= ( 2× $\pi$ ×9×12) + 2× $\pi$ ×(9)²)

Or , The surface area of cylinder=(678.24) + (508.68)

Or ,The surface area of cylinder= 1186.92 mm²

Hence the surface are of a box = 1186.92 mm² Answer

5 0

3 years ago