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natali 33 [55]
3 years ago
15

How do you sovle 10-3x-1≥6x

Mathematics
1 answer:
KATRIN_1 [288]3 years ago
3 0
You should move the 3x over to the 6x, making the equation
10 - 1 \geqslant 9x
you then divide the 9 on both sides, making 9/9x become 1x or just x, and the other 9/9, which equals 1. overall, your final equation should be
x  \leqslant  1
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8 0
3 years ago
Find the base of an isosceles triangle whose area is 60 cm² and the length of one of its equal sides is 13 cm. ​
Kobotan [32]

Answer:

Base = 24 cm or 10cm

Step-by-step explanation:

REMEMBER:
An isosceles triangle ABC with base BC = ‘b' & height AD = ‘h' & its equal sides =13 cm & area = 60 cm²

Using the formulas

A=\frac{bh_b}{2}

h_b=\sqrt{a^2-\frac{b^2}{4} }

There are 2 solutions for b

b=2\sqrt{2}   \frac{A}{\sqrt{a^2+\sqrt{a^4-4A^2} } } =2*\sqrt{2} *\frac{60}{\sqrt{13^2+\sqrt{13^4-4*60^2} } } ≈ 10cmb=2\sqrt{2}   \frac{A}{\sqrt{a^2+\sqrt{a^4-4A^2} } } =2*\sqrt{2} *\frac{60}{\sqrt{13^2-\sqrt{13^4-4*60^2} } }=24cm

Less complex:

Area of a triangle = 1/2 * b * h = 60

=> h = 120/b

In right triangle ABD

13² = h² + b² /4 ( by Pythagoras law)

=>169 = 120²/b² + b²/4

=>676 b² = 57600 + b^4

=> b^4 - 676 b² + 57600 = 0

=> b² = 676 +- √(676² - 4*57600) / 2

=> b²= 676 +- √(226576) /2

=> b² = (676 +- 476 )/2

=> b² = 1152/2 , 200 /2

=> b² = 576 , 100

=> b = 24, 10

So, Base = 24 cm or 10cm

4 0
2 years ago
What is the radical expression that is equivalent to the expression
puteri [66]

Hello from MrBillDoesMath!

Answer:

fourthroot(35)


Discussion:

The question is a bit unclear as to the desired answer.... but here goes!  

(35)^1/4 is the fourth root of 35, that is, symbolically,   fourthroot(35).

Note the fourth root of a number is the same as the square root of the square root of the number.

Regards,  

MrB

P.S.  I'll be on vacation from Friday, Dec 22 to Jan 2, 2019. Have a Great New Year!


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3 years ago
Scientists measure a bacteria sample in a petri dish
zimovet [89]

Answer:

to grow bacterial cultures

4 0
2 years ago
What is 5x(12.28) +30/2
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Answer:

its 61.4x+15

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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