How do i make 1\2x-y=4 into slope intercept form

1 answer:

7 0

Simple, since you want to find y, in y=mx+b form, move everything to the other side.

1/2x-y=4

Move 1/2x

1/2x-y=4
-1/2x -1/2x

Making it look like,

-y=4-1/2x

Divide by the negative 1 in front of the y,

-y=4-1/2x
/-1 /-1

y=-4+1/2x

or

y=1/2x-4

Thus, this written in y=mx+b form, y=1/2x-4.

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The first 5 terms in an arithmetic sequence is 4,2,0,-2,-4

Explanation:

The general form of an arithmetic sequence is

$a(n)=a+(n-1)d$

where a denotes the first term of the sequence, d denotes the common difference.

Here a = 4 and d = -2

To determine the consecutive terms of the sequence, let us substitute the values for n.

To find the second term, substitute n = 2 in the formula $a(n)=a+(n-1)d$

$a(2)=4+(2-1)(-2)$

Simplifying,

$a(2)=4-2=2$

Similarly,

For n = 3,

$a(3)=4+(2)(-2)=0$

For n = 4,

$a(4)=4+(4-1)(-2)\\a(4)=4+(3)(-2)\\a(4)=4-6\\a(4)=-2$

For n = 5,

$a(5)=4+(5-1)(-2)\\a(5)=4+(4)(-2)\\a(5)=4-8\\a(5)=-4$

Thus, the first 5 terms of the arithmetic sequence is 4,2,0,-2,-4

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Complete the congruence statement for the figure shown. If the triangles cannot be shown congruent, type na in each blank.

Serjik [45]

Answer:

ΔABC≅ΔDEF by AAS (Angle-Angle-Side) Theorem

Step-by-step explanation:

We observe that $\angle A\cong\angle D$ , $\angle C\cong \angle F$ for the included angle, and $BC\cong EF$ for our side. Thus, the AAS Theorem proves that the triangles are congruent to each other