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nignag [31]
3 years ago
6

Find the distance between the points given. (-3, 2) and (9, -3)

Mathematics
1 answer:
g100num [7]3 years ago
8 0
The distance will be given by the equation;
D=\sqrt{( x_{1} - x_{2} )^{2} +( y_{1} - y_{2} )^{2}   }
D=\sqrt{ (-3-9)^{2}+( 2--3)^{2}  }
D=\sqrt{ (-12)^{2} + (5)^{2} }
D=\sqrt{169}
D=13 units
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There are 4 different math courses, 5 different science courses, and 2 different history courses. If a student must take one of
rusak2 [61]

A student can take three subjects in 40 ways.

<u>SOLUTION:</u>

Given that, there are 4 different math courses, 5 different science courses, and 2 different history courses.

A student must take one of each, how many different ways can this be done?

Now, number ways to take math course = 4

Number of ways to take science course = 5  

Number of ways to take history course = 2

So, now, total possible ways = product of possible ways for each course = 4 x 5 x 2 = 40 ways.

Hence, a student can take three subjects in 40 ways.

6 0
3 years ago
9. Evaluate:
mrs_skeptik [129]

Answer:

Step-by-step explanation:

a) 12\dfrac{1}{2}=\dfrac{25}{2}\\\\\dfrac{25}{2*100}*480= \dfrac{1}{2*4}*480 = 60 \ cm\\\\b) \dfrac{3}{4*100}*1200= 3*3 = 9 \ Rs.

7 0
3 years ago
Read 2 more answers
Help me guys <br> thx so much
navik [9.2K]

Answer:

Option D, 10x^4\sqrt{6} +x^3\sqrt{30x} -10x^4\sqrt{3} -x^3\sqrt{15x}

Step-by-step explanation:

<u>Step 1:  Multiply</u>

<u />(\sqrt{10x^4} -x\sqrt{5x^2} )*(2\sqrt{15x^4} + \sqrt{3x^3})\\ (\sqrt{10 * x^2 * x^2} -x\sqrt{5 * x^2} ) * (2\sqrt{15 * x^2 * x^2} +\sqrt{3 * x^2 * x})\\(x^2\sqrt{10} -x^2\sqrt{5} )*(2x^2\sqrt{15} +x\sqrt{3x}) \\\\

(x^2\sqrt{10}*2x^2\sqrt{15} )+(x^2\sqrt{10}*x\sqrt{3x} ) + (-x^2\sqrt{5} *2x^2\sqrt{15}) + (-x^2\sqrt{5} *x\sqrt{3x}

(2x^4\sqrt{150} ) + (x^3\sqrt{30x}) + (-2x^4\sqrt{75}) + (-x^3\sqrt{15x}  )

2x^4\sqrt{5^2*6} + x^3\sqrt{30x} -2x^4\sqrt{5^2*3} -x^3\sqrt{15x}

10x^4\sqrt{6} +x^3\sqrt{30x} -10x^4\sqrt{3} -x^3\sqrt{15x}

Answer:  Option D, 10x^4\sqrt{6} +x^3\sqrt{30x} -10x^4\sqrt{3} -x^3\sqrt{15x}

6 0
3 years ago
Read 2 more answers
Erika calculated that she would spend $115 on school supplies this year. She actually spent $82.50 on school supplies. What is E
DerKrebs [107]
The equation to find percent error is:
percent error=(experimental-theoretical)/theoretical *100
So, (115-82.5)/82.5=0.393939*100
39.3939%, or 39.94%

Hope this helps!!
6 0
3 years ago
Read 2 more answers
The length of a rectangle is eight more than twice its width. The perimeter is 96 feet. Find the dimensions of the rectangle
blagie [28]

Step-by-step explanation:

Length = L

Width = W

L=8 more than 2W

L = 8 * 2W

L = 16W

Perimeter = 96

perimeter is the lengths of all sides added together

so

2L + 2W = 96

we have

L = 16W

2L + 2W = 96

let's do substitution

put what L = into 2L + 2W = 96

so

2(16W) + 2W = 96

can you rearrange that to get w

put answer in comment

4 0
2 years ago
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