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erma4kov [3.2K]
3 years ago
13

Find the cardinalities of A and B .

Mathematics
1 answer:
kolezko [41]3 years ago
5 0

Answer:

where is the picture ?

Step-by-step explanation:

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Find the slope and reduce of p=(3/4,1 1/4) q=(-1/2,-1)
sergij07 [2.7K]
\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
%   (a,b)
p&({{ \frac{3}{4}}}\quad ,&{{ \frac{1}{4}}})\quad 
%   (c,d)
q&({{ -\frac{1}{2}}}\quad ,&{{ -1}})
\end{array}

\bf slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{-1-\frac{1}{4}}{-\frac{1}{2}-\frac{3}{4}}\quad \cfrac{\leftarrow LCD=4}{\leftarrow LCD=4}
\\\\\\
\cfrac{\frac{-4-1}{4}}{\frac{-2\cdot 1-3}{4}}\implies \cfrac{\frac{-5}{4}}{\frac{-5}{4}}\implies \cfrac{-5}{4}\cdot \cfrac{4}{-5}\implies 1
7 0
3 years ago
You earned $210 over 3 years on an account with a 7% interest rate. What was your initial deposit (principal)?
AveGali [126]

Answer:

3,000$

Step-by-step explanation:

5 0
3 years ago
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Find the perimeter of the shaded region. Round your answer to the nearest hundredth. Help me por favor
timurjin [86]

Answer:

19.15

Step-by-step explanation:

so find the circumference of the circle using c=2*pi*r it's like 18.849. then find the perimeter of the box so p=2l+2w and it's like 38. so subtract the circle circumference from 38 so 38-18.849=19.15

6 0
3 years ago
You design the wooden picture frame and paint the front surface.
Hitman42 [59]

Answer:

  • a) 8x + 28
  • b) 68 in²

Step-by-step explanation:

a)

<u>Area of the frame with picture:</u>

  • A = lw
  • A₁ = (x + 4)(x + 7) = x² + 11x + 28

<u>Area of the picture:</u>

  • A₂ = x(x + 3) = x² + 3x

<u>Area of the wooden frame is the difference of the above values:</u>

  • A₃ = A₁ - A₂
  • A₃ = x² + 11x + 28 - x² - 3x
  •     = 8x + 28

b)

<u>When x = 5, the picture frame area is:</u>

  • A₃ = 8*5 + 28 = 40 + 28 = 68 in²
4 0
2 years ago
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The measure of an angle is 32°. What is the measure of its supplementary angle?
dolphi86 [110]
The measure of the supplementary angle is 148 degrees.
Hope this helps!
7 0
2 years ago
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