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3 years ago

How many solutions does this have? y=5x+-2 y=5--2x

Mathematics

1 answer:

Delvig [45]3 years ago

5 0

Answer:

one solution (2.333, 9.6666)

Step-by-step explanation:

The ys have to be equal for there to be 1 solution. Let's see if they are. Equate the ys. - -2x becomes 2x

5x +-2 = 2x + 5 Write the left with 1 sign

5x - 2 = 2x + 5 Subtract 2x from both sides

2x 2x

3x - 2 = 5 Add 2 to both sides

2 2

3x = 7 Divide by 3

x = 7/3

x = 2 1/3

y = 5x - 2

y = 5(2 1/3) - 2

y = 11 2/3 - 2

y = 9 2/3

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(a+2b)² ?????????????????????

lbvjy [14]

Answer:

a² + 4ab + 4b²

Step-by-step explanation:

Given

(a + 2b)²

= (a + 2b)(a + 2b)

Each term in the second factor is multiplied by each term in the first factor, that is

a(a + 2b) + 2b(a + 2b) ← distribute both parenthesis

= a² + 2ab + 2ab + 4b² ← collect like terms

= a² + 4ab + 4b²

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3 years ago

A box of marbles can be shared equally among 6,7,or 8 students with 4 marbles left over each time.what is the least possible num

elena-s [515]

168 is the least common multiple of 6,7,and 8

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3 years ago

X^5 y^2 + x^2 y^5 Factor the expression completely.

Eduardwww [97]

Answer:

x^2 y^2(x+y)(x^2 - xy + y^2)

Step-by-step explanation:

x^2 y^2(x^3 + y^3)

(x+y)(x^2 - xy +y^2)

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3 years ago

Suppose a triangle has to size of lint 42 and 35 and the angles between these 2 sides is 120 which equated should you solve to f

Brilliant_brown [7]

Answer:

$7\sqrt{91}\ units$ or $66.78\ units$

Step-by-step explanation:

we know that

Applying the law of cosines

$c^{2}=a^{2}+b^{2}-2abcos(C)$

In this problem we have

$a=42\ units, b=35\ units, C=120\°$

c is the length of the third side

Substitute

$c^{2}=42^{2}+35^{2}-2(42)(35)cos(120\°)$

$c^{2}=1,764+1,225-2,940cos(120\°)$

$c^{2}=4,459$

$c=\sqrt{4,459}\ units$

$c=7\sqrt{91}\ units$ or $c=66.78\ units$

5 0

2 years ago

What is the reference angle for 192º?

Aleonysh [2.5K]

Answer:

78º

Step-by-step explanation:

Note : -

In mathematics, the reference angle is defined as the acute angle and it is measuring less than 90 degrees. It is always the smallest angle, and it makes the terminal side of an angle with the

x - axis.

Step 1 : -

Find where 192º lies in which quadrant.

192º lies in 3rd quadrant ( between

180º and 270º )

Step 2 : -

Subtract : 270 - 192

270 - 192 = 78º

( Since, 192º is greater than 180º, is subtracted from 270º )

Answer : -

78º is the reference angle for 192º.

3 0

1 year ago