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2 years ago

Solve the system of linear equations by graphing. y = x +2 y = -x -4 The solution is

Mathematics

2 answers:

Mnenie [13.5K]2 years ago

8 0

Answer:

Solution: (-3,-1)

7nadin3 [17]2 years ago

7 0

Answer:

x = -3

Step-by-step explanation:

x + 2 and -x-4 is equal, because they are both y

we want to move the variables to one side and the numbers to the other side

x+x = 2x, and -4-2 = -6

so 2x = -6

and x = -3

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Please help me solve this..

Nataliya [291]

Answer:

Step-by-step explanation:

Let a = number of pieces of chocolate bought by Amin.

Let b = number of pieces of chocolate bought by Bob.

b = 2a

(a - 3)(b - 3) = 14

ab - 3a - 3b + 9 = 14

a(2a) - 3a - 3(2a) = 5

2a^2 - 3a - 6a = 5

2a^2 - 9a - 5 = 0

(2a + 1)(a - 5) = 0

2a + 1 = 0 or a - 5 = 0

a = -1/2 or a = 5

Amin cannot have bought -1/2 pieces of chocolate, so we discard the soluion a = -1/2.

a = 5

Answer: 5

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2 years ago

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gtnhenbr [62]

The answer is A.30.

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2 years ago

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drawbridge at the entrance to an ancient castle is raised and lowered by a pair of chains. The figure represents the drawbridge

jasenka [17]

Answer:

4.0 meters, ∠C = 39°, ∠A = 51°

Step-by-step explanation:

Firstly, our diagram shows us that the given triangle is actually a right triangle. So we can use the <em>Pythagorean Theorem</em> to solve for the height of the chain:

$a^{2} +b^{2} =c^{2}$

$(3.3)^{2} +b^{2} =(5.2)^{2}$

$b^{2} =(5.2)^{2}-(3.3)^{2}$

$b =\sqrt{(5.2)^{2}-(3.3)^{2}}$

$b=4.0187...$

$b=4.0 m$

Now, we can use the <em>Law of Cosines</em> to figure out one of the acute angles:

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

$(3.3)^{2} =(4.0)^{2} +(5.2)^{2} -2(4.0)(5.2)(cos(C))$

$cos(C)=\frac{(3.3)^{2}-(4.0)^{2} -(5.2)^{2}}{-2(4.0)(5.2)}$

$C=cos^{-1}( \frac{(3.3)^{2}-(4.0)^{2} -(5.2)^{2}}{-2(4.0)(5.2)})$

$C=39.3915...$

∠C = 39°

And since we know that all angles in a triangle add up to 180°:

∠A + ∠B + ∠C = 180

∠A + 90 + 39 = 180

∠A = 180 - 90 - 39

∠A = 51°

However, you should always review any answers on the Internet and make sure they are correct! Check my work to see if I made any mistakes!

7 0

2 years ago

Hi can anybody explain to me how to do this I'm kinda confused . 5×[5(-7)]

telo118 [61]

Answer:

5 × [5(-7)]

= 5 × (-35) ---- 5 × (-7) = -35

= -175

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2 years ago

I need help with my math

zhannawk [14.2K]

Answer:

Undefined

Step-by-step explanation:

Same x coordinates with different y values is considered undefined

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2 years ago

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