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belka [17]
3 years ago
15

Solve the system

%7D%7D%20%5Cright." id="TexFormula1" title="\left \{ {{y^2-26=-x^2} \atop {x-y=6}} \right." alt="\left \{ {{y^2-26=-x^2} \atop {x-y=6}} \right." align="absmiddle" class="latex-formula">

Mathematics
1 answer:
const2013 [10]3 years ago
6 0

Answer:

Two solutions: (5, −1), (1, −5)

Step-by-step explanation:

Attached file has step-by-step procedure:

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ACTIVITY 2 (19) Mr Duma recently inherited a rectangular plot, part of the estate left by his late father. The plot with the fol
seraphim [82]

The sum of the lengths of three sides of the rectangle, gives the length

of the fencing, while one third of the rectangle area is for the pavement.

Responses:

Project A: The formula for the length of the fencing is, L = 4·x - 1

Project B: Length of the fancy wall = 2·x + 1

Project \ C:Area \ of \ the \ paving = \underline{ \dfrac{2\cdot x^2 }{3} - \dfrac{x }{3}  - \dfrac{1}{3}}

<h3>Which method can be used to find the length and area of paving from the given equations?</h3>

Project A: Let QP and SR represent the longest sides of the rectangle, we have;

PQ = SR = 2·x + 1

Given parameters are;

Length of the rectangular plot = 2·x + 1

Width of the rectangular plot = x - 1

Vertices of the rectangular plot are; QPSR

Project A: Let QP and SR represent the longest sides of the rectangle, we have;

PQ = SR = 2·x + 1

Which gives;

SP = QR = x - 1

The length of the fencing, L = SP + PQ + QR = x - 1 + 2·x + 1 + x - 1 = 4·x - 1

  • The formula for the length of the fencing is, L =<u> 4·x - 1</u>

Project B: The front side is SR

Therefore;

  • Length of the fancy wall = <u>2·x + 1</u>

Project C:

Area, A = Length × Width

Area of the plot, A = (2·x + 1) × (x - 1) = 2·x² - x - 1

  • Area \ of \ the \ paving = \dfrac{1}{3} \times \left(2 \cdot x^2 - x - 1\right) = \underline{ \dfrac{2\cdot x^2 }{3} - \dfrac{x }{3}  - \dfrac{1}{3}}

Learn more about writing equations here:

brainly.com/question/24760633

6 0
2 years ago
GEOMETRY PLEASE HELP ME
castortr0y [4]
I'll go by boxes (top statement box is #1, top reason box is #2, etc.)

If you don't have enough boxes, you can omit (remove) the first 2 I wrote, which is the given

1. 8y = 9x - 14; y = 5
2. Given

3. 8(5) = 9x - 14
4. Substitution

5. 40 = 9x - 14
6. Simplification (or multiplication)

7. 54 = 9x
8. Additive property of equality

9. 6 = x
10. Division property of equality

11. x = 6
12. Symmetrical property of equality


Hope this helps (:

7 0
3 years ago
Which expression is equivalent to: (5⁹ × 5⁻⁷)⁻² ?
lutik1710 [3]

Answer:

(6^4 x 2^-9)

Step-by-step explanation:

4 0
2 years ago
Which graph represents the compound inequality? n &lt; –2 or n ≥ 4
masha68 [24]
N>4 bc it is not too bad and
8 0
3 years ago
Read 2 more answers
Subtract. express your answer in lowest terms 7,15-4,9
gayaneshka [121]
I'm not quite sure what your asking. Do you want us to subtract 15 - 4? That would be 11.
3 0
3 years ago
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