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kari74 [83]
3 years ago
9

If the domain of the function F = {(x, y) | 2x + y = 7} is {1, 2, 3}, what is the range?

Mathematics
1 answer:
Snezhnost [94]3 years ago
8 0

Answer:

The range is equal to {1, 3, 5}. You can find this by graphing the function 2x + y =7.

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Find the length of the radius of the circle, which is inscribed into a right trapezoid with lengths of bases a and b.
egoroff_w [7]

Answer:

  r = (ab)/(a+b)

Step-by-step explanation:

Consider the attached sketch. The diagram shows base b at the bottom and base a at the top. The height of the trapezoid must be twice the radius. The point where the slant side of the trapezoid is tangent to the inscribed circle divides that slant side into two parts: lengths (a-r) and (b-r). The sum of these lengths is the length of the slant side, which is the hypotenuse of a right triangle with one leg equal to 2r and the other leg equal to (b-a).

Using the Pythagorean theorem, we can write the relation ...

  ((a-r) +(b-r))^2 = (2r)^2 +(b -a)^2

  a^2 +2ab +b^2 -4r(a+b) +4r^2 = 4r^2 +b^2 -2ab +a^2

  -4r(a+b) = -4ab . . . . . . . . subtract common terms from both sides, also -2ab

  r = ab/(a+b) . . . . . . . . . divide by the coefficient of r

The radius of the inscribed circle in a right trapezoid is r = ab/(a+b).

_____

The graph in the second attachment shows a trapezoid with the radius calculated as above.

6 0
3 years ago
Evaluate y = 2x + 1 when x= -1
Stolb23 [73]
Y = 2x + 1
y = 2(-1) + 1
y= -2 + 1
y= -1
5 0
3 years ago
Read 2 more answers
what is the measure of the vertex angle of an isosceles triangle if one of its base angles measures 48 degrees?
Vladimir79 [104]
180-2\cdot48=180-96=84
7 0
3 years ago
A glass is
serg [7]

Answer:

Step-by-step explanation:

4/7 x + 70 cm^3 = 3/4 x          Subtract 4/7 x from both sides

3/4 x - 4/7 x = 70 cm^3          The lowest common denominator is 28

\frac{3*7*x}{4*7} - \frac{4*4x}{4*7} = 70 cc\\\frac{21*x}{28} - \frac{16*x}{28} = 70 cc\\\frac{5x}{28}= 70cc\\

5x = 70*28

5x = 1960                                Divide by 5

x = 1960/5

x = 392 cc

7 0
3 years ago
Read 2 more answers
One batch of fruit punch contains 1/3 quart grape juice and 1/5 quart apple juice. Colby makes 11 batches of fruit punch. How mu
zhuklara [117]

Answer:

3.66666666667

Step-by-step explanation:

If you multiply the number of batches he makes and the amount of grape juice he needs for every quart, you get and answer of 3.66666666667.

1/3 * 11= 3.66666666667

If you need to round the answer it would be 3.67

8 0
3 years ago
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