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Andreyy89
3 years ago
6

Find the relation between x and y if A (1, 3) B (6, 1) is perpendicular to BC, where C = (x, y).

Mathematics
1 answer:
sergey [27]3 years ago
7 0

Step-by-step explanation:

x =  \frac{28 + 2y}{5}

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The necklace charm shown has two parts, each shaped like a trapezoid with identical dimensions. What is the total area, in squar
pashok25 [27]
The area of the trapezoid can be calculated through the equation, 
                               A = (b₁ + b₂)h / 2
where b₁ and b₂ are the bases and h is the height. Substituting the known values from the given, 
                              A = (25mm + 32mm)(15 mm) / 2 
                               A = 427.5 mm²
Since there are two trapezoids in the necklace, the area calculated is to be multiplied by two to get the total area. 
                        total area = (427.5 mm²)(2) 
                        <em>total area = 855 mm²</em>
3 0
3 years ago
Read 2 more answers
A line is perpendicular to y = {2/3x + 2/3}
Anna35 [415]

Answer: y = (-3x/2) + 1

Step-by-step explanation:

From the standard equation y = mx + c, the slope of the equation is 2/3. Therefor slope of a line perpendicular to it will be -3/2.

Hence the equation will be

y = (-3x/2) + c

As this line passes through (-2,4), putting these values in this equation gives  c = 1.

Hence the answer is y = (-3x/2) + 1

3 0
3 years ago
What is the value of k?
Molodets [167]

Answer:

( {x}^{2}  + 16x + 64) - (x + 8)(x - 4) = k(x + 8) \\ ( {x + 8)}^{2}  - (x + 8)(x - 4) = k(x + 8) \\ (x + 8) - (x - 4) = k \\ k = (x - x) + (8 + 4) \\ k = 12

4 0
2 years ago
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Find the value of x using the diagram below. Round to the nearest whole number. Picture Attached.
VashaNatasha [74]
Both triangles are right triangles. x is the hypotenuse of the upper one. ThePythagorean formula  will give the value of x. One side is known, The other side we will find using the fact that the lower right triangle is isosceles. The hypotenuse of an isosceles right triangle has a length of \sqrt{2} times the length of one of the legs. In this case 14. So the hypotenuse of the lower triangle is also the short side of the upper triangle. Using Pythagoras

25^{2} +  (14 \sqrt{2}) ^{2} = x^{2}

625 + 392 =  x^{2}

 1017 =  x^{2}

32 = x

4 0
2 years ago
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Ray collects cars and trucks. Over the years, the number of cars he collected is 8 less than twice
Klio2033 [76]

Answer:

Number of Trucks = 17

Step-by-step explanation:

Given:

Total number of cars and truck = 43

Find:

Number of Trucks

Computation:

Assume

Number of Trucks = x

Number of Cars = 2x - 8

Total number of cars and truck = Number of Trucks + Number of Cars

43 = x + 2x - 8

51 = 3x

x = 17

Number of Trucks = 17

6 0
2 years ago
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