The other endpoint is (1, -17).
The midpoint formula is:
Using our midpoint and endpoint, we have:
For the first equation (to find the x-coordinate) we will multiply both sides by 2:
Subtract 11 from both sides:
12 - 11 = 11+x₂ - 11
1 = x₂
For the second equation (the y-coordinate) we multiply both sides by 2:
Add 5 to both sides:
-22+5 = -5+y₂ + 5
-17 = y₂
This means that (x₂, y₂) is at (1, -17).
Answer:
AE=4
EC=4
BF=2.24
FD=2.24
Step-by-step explanation:
here we go honey
Answer:
Step-by-step explanation:When a quadratic function is graphed in the coordinate plane, the resulting parabola and corresponding axis of symmetry are vertical. The graph of the parabola represented by the quadratic function y = a( x - p )2 + q has an axis of symmetry represented by the equation of the vertical line x = p.
Answer:
7
Step-by-step explanation:
Answer:
- rational
- irrational
- irrational
- irrational
- √7, it is irrational
Step-by-step explanation:
A <em>rational</em> number is one that can be expressed as the ratio of two integers. All fractions that have integer numerators and (non-zero) denominators are <em>rational</em> numbers. Any finite decimal number, or any repeating decimal number, is a rational number. These can always be expressed as the ratio of two integers. For example, 0.4040... = 40/99, and 0.286 = 286/1000.
To make an irrational sum, at least one of the contributors must be irrational. You want an irrational 2-number sum that has 7/8 as one of the contributors. Since 7/8 is rational, the other contributor must be irrational.
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<u>Step 1</u>. The number 7/8 is <em>rational</em>.
<u>Step 2</u>. The desired sum is <em>irrational</em>.
<u>Step 3</u>. The rule <em>rational + </em><em>irrational</em><em> = irrational</em> applies.
<u>Step 4</u>. An <em>irrational</em> number must be chosen.
Step 5. √7 will produce an irrational sum, because <em>it is irrational</em>.
