Answer:
Step-by-step explanation:
It is given that circle is a tangent to y axis, which tells us that the distance between the centre point and y axis is the radius of the triangle.
Formula for equation of circle with centre (x1,y1) and radius r is
In the given case distance between the centre and y axis is 7 units so radius would be 7 and the centre point is (-7,2),
the equation of circle is ,
Hence the abow equation is the circle equation.
20= -4t
20/-4= t
-5 = t
t is -5
Answer:
Step-by-step explanation:
The heat absorbed by the ice cube is calculated by the following formula:
![Q = (10\,g)\cdot[(2.090\,\frac{J}{kg\cdot ^{\textdegree}C} )\cdot (0^{\textdegree}C +12.2^{\textdegree}C)+334\,\frac{J}{g} + (4.186\,\frac{J}{kg\cdot ^{\textdegree}C})\cdot (30.2^{\textdegree}C-0^{\textdegree}C)]](https://tex.z-dn.net/?f=Q%20%3D%20%2810%5C%2Cg%29%5Ccdot%5B%282.090%5C%2C%5Cfrac%7BJ%7D%7Bkg%5Ccdot%20%5E%7B%5Ctextdegree%7DC%7D%20%29%5Ccdot%20%280%5E%7B%5Ctextdegree%7DC%20%2B12.2%5E%7B%5Ctextdegree%7DC%29%2B334%5C%2C%5Cfrac%7BJ%7D%7Bg%7D%20%2B%20%284.186%5C%2C%5Cfrac%7BJ%7D%7Bkg%5Ccdot%20%5E%7B%5Ctextdegree%7DC%7D%29%5Ccdot%20%2830.2%5E%7B%5Ctextdegree%7DC-0%5E%7B%5Ctextdegree%7DC%29%5D)
Cost of one month of game play = $14
Step-by-step explanation:
Angir buys = 1 software package and 2 months of game play
Kenny buys = 1 software package and 1 months of game play
Cost of Software Package = $25
Total cost = $92
Cost of Game play =?
Total Purchase = 2 software packages and 3 months of game play
Writing in equation:
Let software packages = x and months of game play = y
2x+3y=92
If software package cost 25 i.e x=25, then
2(25)+3y = 92
50+3y = 92
3y = 92-50
3y = 42
y = 14
So, Cost of one month of game play = $14
Keywords: Algebraic word problems
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Answer:
25 yards
Step-by-step explanation:
A parallelogram is a quadrilateral (a four sided object) with parallel sides
Some of the characteristics of a parallelogram includes :
- Opposite sides and angles are congruent .
- Opposite angels are congruent (D = B).
- Consecutive angles are supplementary (A + D = 180°).
- The diagonals bisect each other
Area of a parallelogram = base x height
Area = 525
base = 21 yards
height = ?
525 = 21 x height
divide both sides of the equation by 21 to find the value of the height
525 / 21 = height
height = 25 yards
