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3 years ago

Someone please help!

Mathematics

1 answer:

DochEvi [55]3 years ago

7 0

Answer: 62cm^2

Step-by-step explanation: 70-8=62

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Solve the systems by the addition method x - 2y = - 4 2x + y = 7

vfiekz [6]

To solve this system of equations by addition, our first goal is to cancel

out one of the variables by adding the two equations together.

However, if we add these two equations together right away, nothing

will cancel so we need to set things up so a variable will cancel.

Notice that we have an 2x in our second equation.

If we had a -2x in our first equation, then the x's would cancel out.

In order to create a -2x in the first equation, we simply

multiply both sides of the first equation by -2.

So we have (-2)(x - 2y) = (-4)(-2) which can be rewritten as -2x + 4y = 8.

Now rewrite both equations, as shown below.

Now when we add the equations together, the x terms

will cancel out and we're left with 5y = 15.

Dividing both sides by 5, <em>y = 3</em>.

To solve for x, plug a 3 in for y in either one of our 2 original equations.

So let's go with our second equation.

Plugging a 3 in for y, we get 2x + (3) = 7.

Now subtract 4 from both sides to get 2x = 4.

Dividing both sides by 2, we fid that <em>x = 2</em>.

Since x = 2 and y = 3, our answer is the ordered pair (2, 3).

5 0

3 years ago

Two sides of an acute triangle measure 5 inches and 8 inches. The length of the longest side is unknown/ What is the greatest po

skelet666 [1.2K]

The Triangle inequality theorem of a triangle says that the sum of any of the two sides of a triangle is always greater than the third side. The correct option is C.

<h3>What is the triangle inequality theorem?</h3>

The Triangle inequality theorem of a triangle says that the sum of any of the two sides of a triangle is always greater than the third side.

Suppose a, b and c are the three sides of a triangle. Thus according to this theorem,

$(a+b) > c\\(b+c) > a\\(c+a) > b$

Given the length of the two sides of the triangle, therefore, we can write the inequalities,

8 + 5 > x ⇒ 13 > x

8 + x > 5 ⇒ x > - 3

5 + x > 8 ⇒ x > 3

Now, as per the inequality the value of x can lie between 3 to 13, but as the side needs to be greatest, therefore, the value of x will be 12.

Hence, the correct option is C.

Learn more about the Triangle Inequality Theorem:

brainly.com/question/342881

#SPJ1

3 0

1 year ago

Read 2 more answers

what is the following product of assume Y is greater than or equal to 0 square root y to the third Times Square Root why 2/3

sattari [20]

Step-by-step explanation:

$\sqrt{y3} \times \sqrt{y3}$