Answer:
x = 8
, y = -5
Step-by-step explanation:
Solve the following system:
{x + y = 3 | (equation 1)
3 x + 2 y = 14 | (equation 2)
Swap equation 1 with equation 2:
{3 x + 2 y = 14 | (equation 1)
x + y = 3 | (equation 2)
Subtract 1/3 × (equation 1) from equation 2:
{3 x + 2 y = 14 | (equation 1)
0 x+y/3 = -5/3 | (equation 2)
Multiply equation 2 by 3:
{3 x + 2 y = 14 | (equation 1)
0 x+y = -5 | (equation 2)
Subtract 2 × (equation 2) from equation 1:
{3 x+0 y = 24 | (equation 1)
0 x+y = -5 | (equation 2)
Divide equation 1 by 3:
{x+0 y = 8 | (equation 1)
0 x+y = -5 | (equation 2)
Collect results:
Answer: {x = 8
, y = -5
9514 1404 393
Answer:
a. 21
Step-by-step explanation:
The external part of the hypotenuse of the right triangle is shown. The full length of the hypotenuse is 9+20 = 29. The Pythagorean theorem can be used to find x.
x^2 +20^2 = 29^2
x^2 = 841 -400
x = √441
x = 21
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<em>Alternate solution</em>
The diameter of the circle is 2·20 = 40 units, so the product of distances from the external vertex to the opposite sides of the circle along the secant is (9)(40+9). The product of the distances along the tangent is x·x. These two products are equal, so ...
x^2 = 9(49)
x = (√9)(√49) = 3·7
x = 21
Answer:
The area of this figure is 45 square units.
Answer:
I think it is 1 Block every 3 minutes
