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aksik [14]
2 years ago
12

Y * x = 20 y + x = 9 what numbers are y and x equal to?

Mathematics
1 answer:
Ksivusya [100]2 years ago
4 0

y = 9 - x
Substitute into
y \times x = 20 \\ (9 - x) \times x = 20 \\  { - x}^{2}  + 9x = 20 \\  {x}^{2}  - 9x  + 20 = 0 \\ (x - 5)(x -4) = 0 \\  x = 5 \: or \: x = 4
When x = 5,
y = 9 - 5 \\ y = 4
When x = 4,
y = 9 - 4 \\ y = 5

x = 5, y = 4
x = 4, y = 5

Hope this helps. - M
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Please help it would mean a lot to me :)
Luda [366]

Answer:

a) TO = OP = 13

b) Height = 12

Step-by-step explanation:

a) Isosceles triangle TOP with base TP = 10 cm, side TO = OP = x cm.

Perimeter of triangle TOP = 36 cm

=> TO + OP + TP = 36

=> x + x + 10 = 36

=> 2x = 26

=> x = 13

=> TO = OP = 13 cm.

b) Apply Pythagorean theorem:

height^2 + (base/2)^2 = side^2 (height^2 + (TP/2)^2 = TO^2)

or

height^2 + (10/2)^2 = 13^2

or

height^2 + 25 = 169

or

height^2 = 144

or

height = 12

Hope this helps!

5 0
3 years ago
A polynomial expression is shown below.
tester [92]
The polynomial is (mx^3+3)(2x²+5x+2)-(8x^5 +20x^4)
if it is reduced to 8x^3+6x²+15x+6, so we can find the value of m

 (mx^3+3)(2x²+5x+2)-(8x^5+20x^4) = <span>8x^3+6x²+15x+6
</span>2mx^5+5mx^4+2mx^3+6x²+15x+6-8x^5-20x^4=<span>8x^3+6x²+15x+6
</span>2mx^5+5mx^4+2mx^3=8x^3+6x²+15x+6-6x²-15x-6+ <span>8x^5+20x^4
</span>=  8x^5+20x^4+<span>8x^3= 4(2x^5+5x^4+2x^3)
finally

</span>m(2x^5+5x^4+2x^3)=<span>4(2x^5+5x^4+2x^3), and after simplification
</span>
C:  m=4

<span>4. When the expression is factored x²-3x-18 completely, 
</span>
one of its factor is x-6
<span>x²-3x-18=0
</span>D= 9-4(-18)= 81, sqrtD=9 x=3-9/2= -6/2= -3, and x=3+9 / 2= 6
so <span>x²-3x-18= (x-6)(x+6)

</span>
3 0
2 years ago
17. Ms Steele is building a circular fountain, on the diagram 2 centimeters is equal to 5 feet. If
tiny-mole [99]

Answer:

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Step-by-step explanation:

7 0
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Answer:

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Step-by-step explanation:

A part-time landscaper made $8996.32 last year.

She claimed herself as an exemption for $3650 and had a $5700 standard deduction

Exemption means not subject to taxation.

Deduction means taking some amount of your income for the year, and not have to pay taxes on it.

So, 8996.32-(3650+5700)

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Since Her income is lower than the exemption and the standard deduction.

So, her taxable income last year was $0.

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Answer:

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<u>Algebra I </u>

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Step-by-step explanation:

<u>Step 1: Define</u>

y = 7x + 14

<u>Step 2: Identify</u>

We see a linear equation (proportional relationship). Therefore, we have a linear equation.

3 0
2 years ago
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