Answer:
x=5
y=1
Step-by-step explanation:
The substitution method is considered easier because of its simplification.
2x-3y=7 (1)
x+2y=7 (2)
considering equation (2),
x = 7 - 2y (3)
using the value of "x" in (1)
2 (7-2y) - 3y=7
14 - 4y- 3y = 7
14 - 7y = 7
7y = 14 - 7
7y = 7
y = 1 (4)
substituting this value of "y" in (3)
x = 7- 2(1)
x = 5
9514 1404 393
Answer:
(5, 6) is (h, k)
Step-by-step explanation:
Vertex form is an instance of the transformation of parent function f(x) = x². It is vertically scaled by a factor of 'a', and translated so the vertex is point (h, k). That is, the transformed vertex is h units right and k units up from that of the parent function (0, 0).
Parent:
f(x) = x^2
Transformed:
f(x) = a(x -h)^2 +k
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When you compare the form to your specific instance, you need to pay attention to what it is that you're comparing. As the attachment shows, ...
- a = 2
- -h = -5 ⇒ h = 5
- k = 6
Hence the vertex is (h, k) = (5, 6). The second attachment shows this on a graph.
Answer:
The prime factors are: 2 x 2 x 59
or Written in exponential form: 2^2 x 59^1
Step-by-step explanation:
236 ÷ 2 = 118 - No remainder! 2 is one of the factors
118 ÷ 2 = 59 - No remainder! 2 is one of the factors
59 ÷ 59 = 1 - No remainder! 59 is one of the factors
together we have the factors 2 x 2 x 59 = 236