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givi [52]
3 years ago
7

How many times does 6 go into 31

Mathematics
1 answer:
Nonamiya [84]3 years ago
5 0
5 times because 6*5=30
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Expand the polynomial and simplify: (4xy− 1 8 y^2)^2
Vinvika [58]

Answer: 4y^{2}(2x-9y)^{2}

Step-by-step explanation:

We have the following polynomial:

(4xy-18y^{2})^{2}

This is a polynomial of the form (a-b)^{2}=a^{2}-2ab+b^{2}. Following this rule to expand it, we have:

(4xy)^{2}-2(4xy)(18y^{2})+(18y^{2})^{2}

16x^{2}y^{2}-144xy^{3}+324y^{4}

Applying common factor 4y^{2}:

4y^{2}(4x^{2}-36xy+81y^{2})

Note the polynomial inside the parenthesis is a perfect square trinomial, which can be factored to(2x-9y)^{2}. Hence, the final simplification is:

4y^{2}(2x-9y)^{2}

3 0
3 years ago
A right triangle has an area of 50 square inches. If the triangle is an isosceles triangle, what are the lengths of the legs of
Fed [463]
<span>If this is an isosceles triangle, then it has two 45 degree angles corresponding to two legs of equal length.  Orient the base of this triangle so that it's horizontal, and represent its length by b.  Let h represent the height of the triangle.  Then the area of this right triangle is 50 square inches = (1/2)(b)(h), or A = (b/2)h = 50 in^2.   

Due to the 45 degree angles, the height of this triangle is equal to half the base, or h = b/2.  Thus, (b/2)h = 50 becomes (b/2)(b/2) = 50, or b^2=200. Thus, b = 10sqrt(2), and h=(1/2)(10 sqrt(2)), or h = 5sqrt(2).

The length of one of the legs is the sqrt of  [5sqrt(2)]^2+[5sqrt(2)]^2, or

sqrt(25(2)+25(2)) = sqrt(100) = 10.



</span>
4 0
3 years ago
What’s the answer to this
madam [21]
B is the correct answer I think
4 0
3 years ago
Read 2 more answers
What is the radius of the base of the cylinder 42in and 36 in
Usimov [2.4K]
Need additional information, which is the height and which is the diameter of the cylinder from the measurements supplied?  Standard forumula for locating Radius and Volume of a cylinder are as follows.

Radius=Diameter/2
rad=dia/2

Volume=Base X height
V=B*h

Base= 3.14*r*r
 
8 0
3 years ago
If u = &lt;-7, 6&gt; and v = &lt;-4, 17&gt;, which vector can be added to u + 3v to get the unit vector &lt;1, 0&gt; as the resu
Katarina [22]

Answer:

idk

Step-by-step explanation:

idk

4 0
3 years ago
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