Answer:
m = (-3, 2) x = (-1)
Step-by-step explanation:
Just took this K12 test.
Answer:
0.5
Step-by-step explanation:
The given ordered pairs are: (1,2) (2,2.5) (3,3) (4,3.5) (5,4)
The corresponding sequence is :
2,2.5,3,3.5, 4,....
We can see that there is a common difference of d=0.5.
Better still we could use the slope formula:
We substitute the point (1,2) and (2,2.5).
The rate of change of this sequence is:
The solution (-4,2) satisfies for the system of linear equations 3x + 13y = 14; 6x + 11y = -2
<u>Step-by-step explanation:</u>
Step 1:
Given detail is the solution of the equations (-4, 2) ie, x= - 4 and y = 2
This implies that this solution should satisfy the given linear equations.
Step 2:
Substitute values of x and y in the equations and verify whether the right hand side equals the left hand side.
System 1 Eq(1) ⇒ LHS = 3(-4) + 13 (2) = -12 + 26 = 14 = RHS
System 1 Eq(2) ⇒ LHS = 6(-4) + 11(2) = -24 + 22 = -2 = RHS
Therefore, the first system of linear equations satisfy the condition.
Note that a translation along the horizontal is affected by the dependent variable. Hence the correct graphical representation will be Graph C
<h3>Translation and transformation</h3>
Translation is the transformation technique of changing the position of an object on the xy-plane.
Give the parent function f(x) = x^2, if the parent function is translated to the right by 4 units (along the horizontal), the resulting function h(x) will be (x+4)^2
Note that a translation along the horizontal is affected by the dependent variable. Hence the correct graphical representation will be Graph C
Learn more on translation here: brainly.com/question/12861087
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P = 2(L + W)
P = 56
W = L - 6
56 = 2(L + L - 6)
56 = 2(2L - 6)
56 = 4L - 12
56 + 12 = 4L
68 = 4L
68/4 = L
17 = L <====length (L) = 17 inches
W = L - 6
W = 17 - 6
W = 11 <== width (W) = 11 inches
