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2 years ago

The ac is a leg of the right triangle True False

Mathematics

1 answer:

Vinil7 [7]2 years ago

3 0

Answer:

False

Step-by-step:

The hypotenuse of the triangle is the side opposite to the right angle. The legs are the other two sides of the triangle. Since AC is on the opposite side of the right angle, it is the hypotenuse and therefore not a leg. Hope this helps!

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Show work and Factor 4x^2+xy-18y^2

grigory [225]

Answer:

$4x^2+xy-18y^2=(4x+9y)\,(x-2y)$

Step-by-step explanation:

Let's examine the following general product of two binomials with variables x and y in different terms:

$(ax+by)\,(cx+dy)= ac\,x^2+adxy+bcxy+bdy^2$

so we want the following to happen:

$a\,c = 4\\ad+bc=1\\bd--18$

Notice as well that $ad+bc =1$ means that those two products must differ in just one unit so, one of them has to be negative, or three of them negative. Given that the product $bd=-18$ , then we can consider the case in which one of this (b or d) is the negative factor. So let's then assume that $a\,\,and \,\,c$ are positive.

We can then try combinations for $a\,\,and \,\,c$ such as:

$a = 4;\,\,c=1\\a=2;\,\,c=2\\a=1;\,\,c=4$

Just by selecting the first one $(a=4;\,\,c=1)$

we get that $4d_b=1\\b=-4d-1$

and since

$bd=-18\\(-4d-1)\,d=-18\\-4d^2-d=-18\\4d^2+d-18=0$

This quadratic equation give as one of its solutions the integer: d = -2, and consequently,

$d=-18/(-2)\\d=9$

Now we have a good combination of parameters to render the factoring form of the original trinomial:

$a=4; \,\,b=9;\,\,c=1;\,\,d=-2$

which makes our factorization:

$(4x+9y)\,(x-2y)=4x^2+xy-18y^2$

6 0

2 years ago

Which is equivalent to 1.04?

Elodia [21]

Answer:

104/100 is equivalent to 1.04

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

Mark charges 100.00 for an encoding work. In addition, he charges 5.00 per page of printed output.

o-na [289]

The total amount charged for each work can be expressed by the equation : 100 + 5x

Fixed charged per work = 100.00

Charge per page printed = 5.00

<u>Let the number pages printed be represented as x :</u>

Total amount charged for n pages can be related thus :

Fixed charge per work + (cost per page × number of pages)

100 + 5x

Therefore, the total amount charged can be expressed with the equation 100 + 5x

Learn more :brainly.com/question/18796573

7 0

1 year ago

Why did Marie Antoinette need to marry the French family?

timama [110]

Their common desire to destroy the ambitions of Prussia and Great Britain and to secure a definitive peace between their respective countries led them to seal their alliance with a marriage

4 0

1 year ago

Find the value of 2 numbers if their sum is 9 and their difference is 1

Sloan [31]

Makes no sense.

p.s i am a fourth grader

5 0

2 years ago

Read 2 more answers