Using elimination you can eliminate 'y' to find x first.
4x=24
+ 5x=12
-------------
9x=36
9/9 x=36/9
X=4
Next use substitution to plug 4 back in to 'x'
4(4)+y=24
16+y=24
-16 -16
------------
Y=8
X is 4 and Y is 8
Answer:
2a: (c)
5o: (1, 3) and (1,1)
3a: (b)
1a: (d)
4o: (b)
Step-by-step explanation:
2a: the equation of a circle circumference needs to be transformable to the form 
where 
is the center and <em>r</em> is the radius. (a) and (d) can’t be it because they contain non-zero factors on <em>xy</em>. (b) isn’t an equation.
5o: just put the given (<em>x</em>, <em>y</em>) into the equations and see if it holds. (2, 3) isn’t on the circumference of (1) because 
, (3, 1) isn’t on it either because 
.
3a: calculate the value of the left-hand side term of the equation using (<em>x</em>, <em>y</em>) from the given point <em>M</em>. That’s the difference of square distance to the center to the square radius 
. Thus it’s 0 if the point is on the circumference, negative if inside and positive if outside. You get 
, positive, so it’s outside the circle.
1a: see definition from 2a. Here, 
.
4o: insert the y from the straight line equation (r) (which can be equivalently transformed to 
) into the circumference equation. If it yields no solution, that’s outside, it there’s exactly one solution, that’s a tangent and if there are two solutions, it’s a secant. 
There are two solutions, so it’s a secant.
No, he can not do it
Step-by-step explanation:
To prove that the the given three sides can form a right triangle:
- Square the three sides
- Add the squares of the smaller two sides
- If the sum is equal to the square of the largest side, then the three given sides can form a right triangle
- If the sum is not equal to the square of the largest side, then the three given sides can not form a right triangle
∵ The designer has three partitions that are 14 , 9 and 20 feet
- Square the length of each partition
∵ 9² = 81
∵ 14² = 196
∵ 20² = 400
- Add the squares of the two smaller partitions 9 and 14
∵ 81 + 196 = 277
∵ The square of the largest partition = 400
∵ 277 ≠ 400
∴ The sum of the squares of the two smaller partitions is not
equal to the square of the third partition
- To create the apartment in the shape of a right triangle he must
have three partitions the sum of the squares of the two smaller
partitions is equal to the square of the largest partition
∴ He can not create the apartment in the shape of a right triangle
No, he can not do it
Learn more:
You can learn more about the right triangles in brainly.com/question/4098846
#LearnwithBrainly
You subtract 32 from
Both sides
