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ElenaW [278]
3 years ago
13

PLEASE HELP!!!

Mathematics
1 answer:
AfilCa [17]3 years ago
3 0

Answer:

h=\dfrac{10\sqrt{3}}{2}=5\sqrt{3}\ cm.

JP=5\sqrt{3}\ cm

Step-by-step explanation:

Connecting points O and E and points O and J, we get triangle EOJ. This triangle is equilateral triangle, because OJ=OE=JE=r=10 cm.

Since EP⊥IJ, then segment JP is the height of the triangle EOJ.

The height of the equilateral triangle can be found using formula

h=\dfrac{a\sqrt{3}}{2},

where a is the side length.

So,

h=\dfrac{10\sqrt{3}}{2}=5\sqrt{3}\ cm.

Therefore JP is 5√3 cm

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square roof of 36

Step-by-step explanation:

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1.Give at least two characteristics for the rhombus.
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Find the point of intersection (if any) of the following pairs of lines: a) x – 2y +1=0 2x + 3y – 7 = 0 b) x-2y+11=0 -x+2y-13 =
pychu [463]

Answer:

a) (11/7, 9/7)

b) There's no point of intersection

Step-by-step explanation:

a) x - 2y + 1 = 0

2x + 3y - 7 = 0

To find the point of intersection, we need to solve the system of equations  and the result will be the point of intersection (x,y)

x-2y+1=0\\x= 2y-1

Now we substitute x in the second equation:

2x+3y-7=0\\2(2y-1)+3y-7=0\\4y-2+3y-7=0\\7y-9=0\\y=9/7

Now we substitute y in our first equation.

x-2y+1=0\\x-2(9/7)+1=0\\x-18/7+1=0\\x=18/7-1\\x=11/7.

The point of intersection is (11/7, 9/7)

b) x -2y +11 =0

-x + 2y - 13 =0

We are going to follow the same procedure:

x-2y+11=0\\x=2y-11

-(2y-11)+2y-13=0\\-2y+11+2y-13=0\\0y=2\\0=2

Since this system of equations doesn't have a solution, the system has no point of intersection.

5 0
3 years ago
What is the simplified form of the following expression? Assume x greater-than-or-equal-to 0 and y greater-than-or-equal-to 0 2
finlep [7]

To solve such questions we need to know more about expression.

<h2 /><h2>Expression </h2>

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations that are formed according to rules which are dependent on the context.  

<h2 /><h2 /><h2>Given to us,</h2>

2\sqrt[4]{16x}-2\sqrt[4]{2y}+3\sqrt[4]{81x}-4\sqrt[4]{32y}+5\sqrt[4]{x}-4\sqrt[4]{32y}+5\sqrt[4]{x}-16\sqrt[4]{2y}+13\sqrt[4]{4}-10\sqrt[4]{2y}+35\sqrt[4]{x}-18\sqrt[4]{2y}

rearranging we get,

=2\sqrt[4]{16x}+3\sqrt[4]{81x}+5\sqrt[4]{x}+5\sqrt[4]{x}+13\sqrt[4]{4}+35\sqrt[4]{x}-2\sqrt[4]{2y}-4\sqrt[4]{32y}-4\sqrt[4]{32y}-16\sqrt[4]{2y}-10\sqrt[4]{2y}-18\sqrt[4]{2y}

we know that,

\sqrt[4]{81}=3\\\sqrt[4]{16}=2\\\sqrt[4]{32}=2\sqrt[4]{2}\\

therefore,

=4\sqrt[4]{x}+9\sqrt[4]{x}+5\sqrt[4]{x}+5\sqrt[4]{x}+13\sqrt[4]{x}+35\sqrt[4]{x}-2\sqrt[4]{2y}-8\sqrt[4]{2y}-8\sqrt[4]{2y}-16\sqrt[4]{2y}-10\sqrt[4]{2y}-18\sqrt[4]{2y}

taking \sqrt[4]{x} and \sqrt[4]{2y} as common

=[(\sqrt[4]{x})(4+9+5+5+13+35)]-[(2+8+8+16+10+18)(\sqrt[4]{2y})]

Further simplifying

=71\sqrt[4]{x}-62\sqrt[4]{2y}

Learn more about the expression:

brainly.com/question/13947055?referrer=searchResults

7 0
3 years ago
Read 2 more answers
I don't know how to do this one. plz help
egoroff_w [7]

Answer:

As x decreases without bound, f(x) increases without bound

As x increases without bound, f(x) approaches 0

Step-by-step explanation:

As x gets more and more negative f(x)  gets bigger and bigger

f(x) = (7/10) ^ x but x is negative  so flip it and then x is a larger number

       (10/7) ^  large number   so it will get larger

 as → -∞   f(x) →∞    


As x gets more and more positive f(x)  gets smaller and smaller

f(x) = (7/10) ^ x   closer and closer to 0.  The denominator gets larger faster than the numerator  = 1 / large number

       

 as → ∞   f(x) →0    

3 0
3 years ago
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