Twice the difference of a number and 5 is equal to three times the sum of the number and 8

Mathematics

1 answer:

Lelu [443]3 years ago

3 0

Answer:

3 and your welcome

Step-by-step explanation:

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FIND THE VALUE OF X AND Y.(ordered pairs)<br><br>(x+y,0)=(8,x-y)

Aliun [14]

Step-by-step explanation:

We know that...

x+y (from the first pair) corresponds to 8(in the second pair)..

0 (from the first pair) corresponds to x-y (in the second pair)..

Hence,

$x + y = 8 \\ x - y = 0$

By simply adding the two equations we get,

$2x = 8 \\ x = 4$

Hence,

By substituting x=4, we get that y=4

Hence,

x=y=4

5 0

3 years ago

Reflect quadrilateral CJKM across the y-axis. Find the location of K'.

Montano1993 [528]

$K(1,4)\rightarrow K^{\prime}(-1,4)$

Explanation

Step 1

find the coordinate of every point of the quadrilateral

C(-3,1)

J(0,1)

K(1,4)

M(4,-2)

Step 2

When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is transformed into its opposite (its sign is changed).

$(x,y)\rightarrow reflect\text{ across y -Ax is}\rightarrow(-x,y)$

therefore

$\begin{gathered} C\mleft(-3,1\mright)\rightarrow C^{\prime}(3,1) \\ J\mleft(0,1\mright)\rightarrow J^{\prime}(0,1) \\ K\mleft(1,4\mright)\rightarrow K^{\prime}(-1,4) \\ M(4,-2)\rightarrow M^{\prime}(-4,-2) \end{gathered}$

so, the answer is