Answer:
Solve for a
a12−3(a−1)=11+a
Write the problem as a mathematical expression.
a12−3(a−1)=11+a
Simplify each term.
a12−3a+3=11+a
Graph each side of the equation. The solution is the x-value of the point of intersection.
a≈−1.1114621,1.23792371
Step-by-step explanation:
<span>Is the following definition of perpendicular reversible? If
yes, write it as a true biconditional.</span>
Two lines that intersect at right angles are perpendicular.
<span>A. The statement is not reversible. </span>
<span>B. Yes; if two lines intersect at right
angles, then they are perpendicular.
</span>
<span>C. Yes; if two lines are perpendicular, then they intersect at
right angles. </span>
<span>D. Yes; two lines
intersect at right angles if (and only if) they are perpendicular.</span>
Your Answer would be (D)
<span>Yes; two lines
intersect at right angles if (and only if) they are perpendicular.
</span><span>REF: 2-3 Biconditionals and Definitions</span>
Answer:
Yes, A KLP can be reflected across the line containing KP and then translated so that Pis mapped to M.
Step-by-step explanation:
The figure shows two congruent by HA theorem (they have congruent hypotenuses and a pair of congruent angles adjacent to the hypotenuses) triangles KLP and QNM.
A rigid transformation is a transformation which preserves lengths. Reflection, rotation and translation are rigit transformations.
If you reflect triangle KLP across the leg KP and translate it up so that point P coincides with point M , then the image of triangle KLP after these transformations will be triangle QNM.
Answer:
.3 is greater.
Step-by-step explanation:
.13
.3 or .30
These are the same, and obviously .30 is larger than .13.