The value of x that fills the coordinate are 7 or -5
<h3>Distance between two points</h3>
The formula for calculating the distance between two points is expressed as:
D = √(x2-x1)² +(y2-y1)²
Substitute the given coordinates
10 = √(15-7)² +(1-x)²
100 = 8² +(1-x)²
(1-x)² = 100 - 64
(1-x)² = 36
1- x = -6
x = 7 or -5
Hence the value of x that fills the coordinate are 7 or -5
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Complete question
<em>If the distance between two points (x, 7) and (1, 15) is 10, find the value of x.</em>
Since <span>x</span> contains the variable to solve for, move it to the left side of the equation by subtracting <span>x</span> from both sides.<span><span><span><span><span>2m</span><span><span>−n</span>x</span></span><span>−x</span></span>=4
</span></span>Since 2m does not contain the variable to solve for, move it to the right side of the equation by subtracting 2m from both sides.<span><span><span><span><span>n</span>x</span><span>-x</span></span>=<span><span><span>-2</span>m</span>+4</span></span></span>Factor <span>x</span> out of <span><span><span><span>−n</span>x</span><span>−x</span></span></span><span><span><span>x<span>(<span><span>−n</span><span>−1</span></span>)</span></span>=<span><span><span>−2</span>m</span>+4</span></span></span>Divide each term by <span><span><span>−n</span><span>−1</span></span><span><span>-n</span><span>-1</span></span></span> and simplify.<span>x=<span><span><span>2<span>(<span>m<span>−2</span></span>)/</span></span><span>n+1</span></span></span></span>
Parallel means it has the same slope.
Slope in thisproblem is -5/4.
This means the slope of the parallel line is also -5/4.
Perpendicular is the reciprical of the slope.
Flip the slope and make it +/-.
The slope would be 4/5.
Answer:
Step-by-step explanation:
l = Length = 11 cm
w = Width = 8 cm
h = Height = 8 cm
Perimeter of cardboard required for one box is
There are 100 gifts to pack so the total amount of cardboard needed would be
So, the minimum amount of cardboard Cathy needs to package all the gifts is .