A, X=6(x-2) as his age take away 2 (his age two years ago) then multiplied by 6 will equal his current age.
Pretty sure it's A. (X times .5 equals Y)
Answer:
1) If sum of the two smaller sides of a triangle is greater than the third longer side, then its a triangle.
<h3>In our case, 20 + 23 > 41. Hence its a triangle .</h3>
Use the side lengths to classify the triangle as acute, right, or obtuse. Compare the square of the length of the longest side with the sum of the squares of the lengths of the two shorter sides
2) Square root of sum of the squares of the two smaller sides is equal to the third longer side, then its a right triangle.
In our case,
√20^2+23^2≈30.4795<41.
<h3>Hence not a right triangle.</h3>
Since the sum of the squares of the two shorter sides is < the square of the longer side, its an obtuse angle triange
Step-by-step explanation:
Hope it is helpful....
To solve with Elimination:
Write the equations under one another, like this:
2x - y = -1
+ 3x + 4y = 26
Ideally, we would like for one of the variables to be eliminated when we add vertically (straight down). But if we add them as they are this does not happen. We must manipulate one of the equations so that it will happen. Again, you can try to eliminate either x or y. I always look for a term that has a coefficient of 1 (or negative 1). So, let's use that y from the first equation again.
If the coefficient of the y in the other equation is POSITIVE 4, then I need the coefficient from the first equation to be its opposite, NEGATIVE 4. To do this, simply multiply the first equation by 4, this will create MAGIC!
4( 2x - y = -1)
+ 3x + 4y = 26
Be certain to Distribute across the entire first equation, so multiply all three terms by 4.
8x - 4y = -4
+ 3x + 4y = 26
Now add straight down (vertically). The y term will be eliminated.
11x = 22
Divide both sides of the equation by 11.
x = 2
Almost there! Now, substitute the 2 in for x in either of the original equations. Either one will work. I'm gonna use the second equation.
3x + 4y = 26
3(2) + 4y = 26
6 + 4y = 26
Subtract 6 from both sides of the equation.
4y = 20
Divide both sides of the equation by 4.
y = 5
That's it! There it is again. Put it all together. If x = 2 and y = 5, then the solution is the ordered pair, (2,5).
Answer:
Option B) (x + 3)^2 + (y – 1)^2 = 8 is the correct answer.
Step-by-step explanation:
The equation of a circle with center (h,k) and radius r is given by:
Given
Center = (h,k) = (-3,1)
=> h = -3
=> k = 1
The distance between the center of circle and the point through which the circle passes will be the radius.
The distance formula is given by:
Given
Putting the values in the formula
Putting the values of h,k and r in general form of equation
Hence,
Option B) (x + 3)^2 + (y – 1)^2 = 8 is the correct answer.
