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Black_prince [1.1K]
3 years ago
6

How to solve 4|x+6|greater than or equal to 20

Mathematics
1 answer:
Lena [83]3 years ago
8 0

Answer: x greater than or equal to -1

Step-by-step explanation:

4|x + 6| greater than or equal to 20

4x + 24 greater than or equal to 20

4x greater than or equal to -4

x greater than or equal to -1

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A square is put together by two triangles. The hypotenuse is 11 cm and width of 8 cm. find the height of triangle?
Aleks [24]
You can use the pythagorean theorem. Make sure that you put the measurements in the right places though. Since 11 is the measure of the hypotenuse, 11 has to be c. When you plug in the information that you have, it should look like this:
8^2 + b^2 = 11^2

Square 8 and 11. 
64 + b^2 = 121

Subtract 64 from 121
121 - 64 = 57

The new equation is:
b^2 = 57

Now take the square root of both sides to get b by itself. 
b = about 7.5

Answer: The height of the triangle is 7.5

***** Note: I rounded the answer ********************************************
4 0
3 years ago
Write the mixed number as a fraction.<br> 4 1/3
Katyanochek1 [597]
Improper fraction: 13/3
6 0
4 years ago
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At the school play, 194 people attended the show on the first night and 185 people attended the show on the second night. How ma
LUCKY_DIMON [66]
379 people attended the show
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3 years ago
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What is two over twelve + four over nine
noname [10]

Answer:

2/3

Step-by-step explanation:

2/12+4/9

Find a common denominator

16/72+ 32/72

48/72

Simplify

=2/3

Hope this helps

3 0
3 years ago
Can u help me ASAP. i need to know how to do it step by step​
12345 [234]

Answer:

<em>19</em>

Step-by-step explanation:

f(x) =4x^3-8x^2+ax+b has a factor 2x-1 and

when divided by x+2, remainder is 20.

To find:Remainder when divided by (x-1)  ?

Solution:

2x-1 is a factor

2x - 1 = 0 \Rightarrow x = \frac{1}{2} when we put this value of x to the function, it will become 0.

i.e.

\Rightarrow f(\dfrac{1}{2}) =0 =4\times (\dfrac{1}2)^3-8(\dfrac{1}2)^2+\dfrac{a}{2}+b=0\\\Rightarrow \dfrac{1}{2}-2+\dfrac{a}{2}+b=0\\\Rightarrow 1-4+a+2b=0\\\Rightarrow a +2b=3 ......(1)

Remainder is 20 when f(x) is divided by x+2

i.e.

f(-2) =20

\Rightarrow f(-2) =20 =4\times (-2)^3-8(-2)^2-2a+b=20\\\Rightarrow -32-32-2a+b=20\\\Rightarrow -2a+b=84 ...... (2)

Solving (1) and (2), Multiply equation (1) by 2 and adding to (2):

5b=6+84\\\Rightarrow b = \dfrac{90}{5} = \bold{18}

By equation (1):

a+2(18) = 3\\\Rightarrow a = -33

So, the equation becomes:

f(x) =4x^3-8x^2-33x+18

\Rightarrow f(1) = 4(1) -8 (1) -33(1) +18 = \bold{19}

So, when divided by (x-1), remainder will be <em>19</em>.

4 0
3 years ago
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