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34kurt
3 years ago
13

What is the definition of a vertex​

Mathematics
1 answer:
lions [1.4K]3 years ago
3 0
A vertex is a point where two lines or rays meet
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HELPPPPPPPPPPPPPPPPPPPPPPPPPPPP! Is 16x^2 - 56x + 49 a perfect square trinomial? How do you know? If it is, factor the expressio
jasenka [17]

No need to fear, thehotdogman93 is here!

The first step is to get rid of those very large numbers. It's going to be very difficult to factor unless we can bring those high numbers down. So lets see if we can factor each term.

So after dividing 49 with every single digit. The only number that divides evenly is 7 and one, and 16 isnt divisible evenly by 7 so that didn't work. Looks like we're gonna have to work with these big numbers.

There is something interesting though about these numbers. 16 and 49 are both perfect squares. 16 is the same as 4^2 and 49 is the same as 7^2. So we can factor the whole trinomial as:

{(4x - 7)}^{2}

If we were to expand this out as:

(4x - 7)(4x - 7)

and multiply it back into the original form. It would match with the expression we started with. The 4's would multiply back into 16x^2 and the 7's would multiply back into 49.

Additionally 4 * -7 is -28, so you can combine two -28x's into the -56x term in the original trinomial.

Thus, the answer is yes you can, and the answer is:

{(4x - 7)}^{2}

6 0
3 years ago
How far can a car travel on 1 gallon of gasoline?
Yuliya22 [10]

Answer:

25 miles

Step-by-step explanation:

50/2=25

8 0
3 years ago
Read 2 more answers
Raj is visiting the United States and needs to convert 2,000 rupees to US dollars.
nadezda [96]

The first thing we must do for this case is to find the conversion of rupees to US dollars.

Currently, the conversion is:

1 rupee = 0.014 $

Then, to find the amount of $ in 2000 rupees, we make the following rule of three:

1 rupee -----------------> 0.014 $

2000 rupees ----------> x

From here, we clear the value of x.

We have then:

x = (2000) * (0.014)  x = 28

Answer:

2,000 rupees are 28 US dollars.

3 0
4 years ago
Read 2 more answers
Find x and y.
levacccp [35]

Answer:

Step-by-step explanation:

By the definition of a square, all the sides are the same.  Our figure is marked as such.  Because of this characteristic, that congruency makes the top segment of the square parallel to the bottom segment.  That makes x and the vertex (top) angle in the triangle on the right congruent (these are called alternate interior angles and they are congruent when they lie on opposite sides of a transversal that cuts a pair of parallel lines).  

Also, due to the nature of this type of triangle which is an isosceles triangle, both the acute angles in each triangle are congruent and the other angle is a right angle.  The Pythagorean Triple for the sides in this type of triangle, which is a 45-45-90, is, from shortest side to longest side, (x, x, x√2).  That means that x is a 45 degree angle.

To find the value of y, we use the Pythagorean Triple.  If the side is 10.9, then the hypotenuse is 10.9√2

Choice A is the one you want.

3 0
3 years ago
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A bank charges a fee if an account balance falls below $100. Let b represent the account balance. Write an inequality to describ
sveticcg [70]
B = account balance
An inequality to describe when a bank would charge a fee: b < $100
4 0
4 years ago
Read 2 more answers
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