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Ratling [72]
3 years ago
5

Solve x and y simultaneously if:

Mathematics
1 answer:
Solnce55 [7]3 years ago
5 0

Answer:

make Y the subject in eqn........ 1

y + 7 = 2x

y = 2x - 7...........eqn 3

put y = 2x - 7 into eqn 2

x² - xy + 3y² = 15

x² - x(2x - 7) + 3(2x - 7)(2x - 7) = 15

x² - 2x² + 7x + 3(4x² + 14x -14x + 21) = 15

x² - 2x² + 7x + 12x² + 42x - 42x + 63 = 15

x² - 2x² + 7x + 12x² + 63 = 15

x² - 2x² + 12x² + 7x + 63 = 15

11x² + 7x + 63 - 15 = 0

11x² + 7x + 48 = 0

11x² + 7x = - 48

11x²/11 + 7x/11 = - 48/11

x² + 7x

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If tu=18 and u=11 what is tv
yuradex [85]

If the point U is between points T and V, then the numerical length of TV is 29 units

<h3>How to determine the numerical length of segment TV?</h3>

From the question, we have the following lengths that can be used in our computation:

  • Length TU = 18 units
  • Length UV = 11 units

The above parameters and representations implies that the point U is between endpoints T and V

This also means that the length TV is longer than the other lengths TU and TV

So, we have the following length equation

TV = TU + UV

Substitute the known values in the above equation

So, we have the following equation

TV = 18 + 11

Evaluate the sum of the like terms in the above equation

So, we have the following equation

TV = 29

Hence, the numerical length of segment TV is 29 units

Read more about lengths at

brainly.com/question/19131183

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<u>Possible question</u>

If tu = 18 and uv = 11 what is tv, if point u is between points t and v

8 0
1 year ago
Which translation maps the graph of the function f(x) = x2 onto the function g(x) = x2 + 2x + 6?
Veronika [31]

Answer:

left 1 unit, up 5 units

Step-by-step explanation:

First factor

g(x)=x^2+2x+6 = (x+1)^2+5

The standard transformation formula is

g(x) = a*f(bx-h) + k

which means

a=1, b=1,h=-1, k=5

or

h=-1 means translate left one unit

k=5 means translate up 5 units.  

Choose the first option: left 1 unit, up 5 units

3 0
3 years ago
Read 2 more answers
A bouncing ball reaches a height of 54 inches at its first peak, 36 inches at its second peak, and 24 inches at its third peak.
steposvetlana [31]
54, 36, 24 are the 1st 3 element of a geometric progression with 2/3 as a common ratio: PROOF:
the 1st term is 54, (a₁= 54) the 2nd term a₂ = 24, then
(a₂ = a₁.r) or 36 = 54.r → r= 36/54 = 2/3. Same logique for the 3rd term. 
So 2/3 is common ratio. We know that :U(n) = a.(r)ⁿ⁻¹. Then if a =54 and r = x (given by the problem), then f(x) = 54.xⁿ⁻¹
n, being the rank of any element of this geometric progression

7 0
3 years ago
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Aiden bought some noteboks and book covers for the upcoming school year.He bought a total of 13 items.Each notebook costs $1.37,
NARA [144]
Answer: Aiden bought 8 notebooks and 5 covers.

This is a system of equations problem. To solve this, we have to write 2 different equations and then solve them.

Our equations are:

x + y = 13
1.37x + 1.08y = 16.36

Where x is the number of notebooks and y is the number of covers.

To solve these equations, you can use anyone of these methods:
1) Graphing
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The easiest way would be to graph them with a graphing calculator and find the point of intersection.
7 0
3 years ago
The French Club ordered 16 pizzas for a party. Each pizza had 6 slices. Jose ate 7 of the slices. How many slices were left for
NikAS [45]
16 x 6 = 96
96 - 7 = 89
or
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Answer : 89 slices
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2 years ago
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