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KIM [24]
4 years ago
15

Rationalize the expression and simplify.

id="TexFormula1" title="\frac{\sqrt{4+h}-2 }{h}" alt="\frac{\sqrt{4+h}-2 }{h}" align="absmiddle" class="latex-formula">

Mathematics
1 answer:
MAXImum [283]4 years ago
5 0
You multiply by the conjugate to both the denominator and numerator.
After that you can simplify by canceling the 4 and then you are able to simplify the (h) as well.

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Christine bought 4 sandwiches and 5 bowls of soup, spending $38.50.Adam spent $47.25 to buy three sandwiches and nine bowls of s
ikadub [295]
Sandwiches are $5.25 Bowls are $3.50

4x+5y=38.50
3x+9y=47.25
4 0
3 years ago
If g(x) = -2x - 2, find g(-2x).​
USPshnik [31]

Answer:

2

Step-by-step explanation:

You would replace the x with -2x so you would end up with -2×-2 and that is 4 then minus 2 is 2.

7 0
3 years ago
Whoever gets this right, gets cake
Mariana [72]

Answer:

D is the answer

Step-by-step explanation:

don't froget my cake!! :)

5 0
3 years ago
Neptune's average distance from the sun is 4.503 × 109 km. mercury's average distance from the sun is 5.791 × 107 km. about how
vladimir1956 [14]
Neptune's distance from the sun is d₁ = 4.503 x 10⁹ km.
Mercury's distance from the sun is d₂ = 5.791 x 10⁷ km.

Calculate the number of times d₁ is greater than d₂.
\frac{d_{1}}{d_{2}} = \frac{4.503 \times 10^{9}}{5.791 \times 10^{7}} = 77.75859

Answer: 7.7759 x 10⁻¹ times
4 0
3 years ago
Determine the value of base b if (152)b = 0x6A. Please show all steps.
DaniilM [7]

Assuming 0x6A is given in base 16, first convert 152_b and 6A_{16} to a common base, say base 10:

152_b=1\cdot b^2+5\cdot b^1+2\cdot b^0=(b^2+5b+2)_{10}

6A_{16}=6\cdot16^1+10\cdot16^0=106_{10}

Then

b^2+5b+2=106

b^2+5b-104=(b-13)(b+8)=0

\implies b=13

3 0
3 years ago
Read 2 more answers
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