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Rus_ich [418]
3 years ago
14

Help me please with this math. find x and y​

Mathematics
1 answer:
erastova [34]3 years ago
3 0

Answer:X= 1.84. Y= 3.08

Step-by-step explanation:

-9x+8y =8 ............i

-8x+10y= -16........ii

Multiply equation I by 8

Multiply equation ii by 9

-72x+64y = 64 ..... iii

-72x+90y = 144 ..... iv

Subtract iv from iii

-26y = -80

y= 80/26

y= 3.08

Put the value of y in equation i

-9x+8y =8

-9x+8(3.08) = 8

-9x+24.64 = 8

-9x = 8-24.64

-9x=-16.64

Divide both side by 9

-9x/-9 = -16.64/-9

X= 1.84

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Sladkaya [172]

Answer:

n squared + 3n + 1

Step-by-step explanation:

5,11,19,29

Firstly look at the difference between each number. The first difference is 6 then 8 then 10 etc. After that you look at your created sequence - 6,8,10 etc. The difference is 2 each time. Then applying rules, you have to do the constant difference divided by 2 to get a coefficient of n squared. So in this case it's n squared because 2/2 = 1 so you don't have to place a 1 in front of the n squared. After you create a sequence from the n squared. That would be 1,4,9 etc. Then you need to see how to get from the sequence: 1,4,9 etc to your original sequence: 5,11,19 etc. So if you calculate it you will get 4,7,10 because firstly 5-1 = 4 then 11-4 = 7 etc. The sequence 4,7,10 is a linear sequence so the constant difference is 3 each time. So to get a nth term of a linear sequence you will start off as 3n then you will substitute 1 then 2 then 3 into the 3n. Therefore that would be 3,6 etc. So if you take the first substituted term, that would be 3 as said before then you will have to see how to get from the 3 to 4 so that is just adding 1. So the nth term of this linear sequence is 3n + 1. Check if it works at the end. So the overall nth term of the quadratic sequence is n squared as said before + 3n + 1.

8 0
3 years ago
Calculating the Surface Area of a Triangular Prism The triangular prism shown has 1235 triangular face(s) and 1235 lateral face(
GenaCL600 [577]

Corrected Question

The triangular prism shown has 1, 2, 3 or 5 triangular faces and 1,2,3, or 5 lateral faces.

The area of one triangular face is 7.5,8.125,15,or 17  mm^2

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Answer:

(B)2 triangular faces

(C)3 lateral faces.

(A)Area of one Triangular Face =7.5mm^2

(C)Total Surface Area of the Triangular prism =135mm^2

Step-by-step explanation:

The triangular prism is attached.

The triangular prism shown has 2 triangular faces and 3 lateral faces.

Base of the triangle =2.5mm

Height of the Triangle =6mm

Area of one Triangular Face =\frac{1}{2}*6*2.5=7.5mm^2

The dimensions of the lateral rectangles are:

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  • 6 mm by 8mm
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Therefore, total surface area of the triangular prism

=2(Area of one Triangular Face)+Area of 3 rectangular faces

=2(7.5)+ (2.5 X 8+ 6 X 8 + 6.5 X 8)\\=15+120\\=135mm^2

Total Surface Area of the Triangular prism =135mm^2

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Answer:

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Step-by-step explanation:

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Answer:

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