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marta [7]
2 years ago
7

Write the equation x² + 6x + y² – 8y = 19 in standard form.

Mathematics
2 answers:
kirza4 [7]2 years ago
8 0

Answer:

Formula used :

  • <u>x²+2xy+y²</u><u> </u><u>=</u><u> </u><u>(x+y)²</u>
  • <u>x²-2xy+y²</u><u> </u><u>=</u><u> </u><u>(x-y)²</u>

→{x}^{2}  + 6x +  {y}^{2}  - 8y = 19 \\  ({x}^{2}  + 2.3.x +  {3}^{2} ) +({y}^{2}  - 2.4.y +  {4}^{2} ) = 19 +  {3}^{2}  +  {4}^{2}  \\  {(x + 3)}^{2}  +  {(y - 4)}^{2}  = 19 + 9 + 16 \\  \boxed{ {(x + 3)}^{2}  +  {(y - 4)}^{2}  = 44}✓

  • <u>3) (x+3)²+(y-4)²=44</u> is the right answer.
Rama09 [41]2 years ago
4 0

Answer:

option C

Step-by-step explanation:

using (X + 3)² + ( y - 4)² = 44

gives you directly x² + 6x + y² - 8y = 19

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8 0
2 years ago
Find the surface area of the Triangular prism.<br><br> A = bh<br><br> A = 1/2(bh)
Mekhanik [1.2K]

Answer:

Surface area of triangular prism =1/2(bh)

=1/2(3*4)

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4 0
2 years ago
If h=xtan60* and h=(40-x)tan30* how do i find h
Colt1911 [192]

Answer:

Answer simultaneously :)

Input equation 1 into equation 2

xtan60*=(40-x)tan30*

xtan60/tan30= (40-x)

3x = 40-x

4x = 40

x = 10

Hope this helps :) !

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8 0
3 years ago
What is the volume of the box if it is scaled down by a factor of 1/10?
Natalka [10]

Answer:

8.4in²

Step-by-step explanation:

We are given the dimensions of a box as :

7in = Height

6in = Length

2in = Width

The volume of a box = Length × Width × Height

Volume of a box = 7in × 6in × 2in

= 84in²

We are also told in the question to find the volume of the box if it is scaled down by a factor of 1/10

Hence,the new volume = 84in² × 1/10

= 8.4in²

Therefore, the volume of the box if it is scaled down by a factor of 1/10 is 8.4in²

8 0
3 years ago
Marie wants to purchase a car and finance her purchase with a 4 year loan at 7% interest. If she wants her payments to be $250 p
saveliy_v [14]

Answer:

F = $13,802.31

she can finance $13,802.31 with this loan.

Step-by-step explanation:

Given;

Rate r = 7% = 0.07

Time t = 4 years

Payment per month MP = $250

Number of months per year n = 12

This can be solved using compound interest for future value series formula;

F = future value

F = MP(((1 + r/n)^(nt) - 1)/(r/n))

Substituting the given values, we have;

F = $250(((1 + 0.07/12)^(12×4) - 1)/(0.07/12))

F = $13,802.31

4 0
3 years ago
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