If dilation is about the origin, and there is no translation, rotation, or reflection involved, the matrix of image coordinates is the matrix of original coordinates multiplied by the scalar dilation factor.
1.
2.
Answer: 101.5
11x6.5 = 71.5
6x5 = 30
Add together the products
Answer:
- a) AB = 10 units
- b) Midpoint is (2, 6)
===================
<h3 /><h3>Given</h3>
- Points A( - 1, 10) and B(5, 2)
<h3>To find</h3>
- a) The length of AB
- b) The midpoint of AB
<h3>Solution</h3>
a) Use the distance formula:
Substitute the coordinates and calculate:
The distance is AB = 10 units
b) Use midpoint formula and find x and y- coordinates of this point:
and
Substitute coordinates and find the midpoint:
and
The midpoint is (2, 6)
<span># of books = 4 ; original cost = 4*9=36; savings = 0.10*36= 3.60
</span>
<span># of books = 2 ;original cost = 2*20=40; savings = 0.20*40= 8.00
</span>
<span>Percent savings:
original total cost=$76
Total savings = $11.60
Percent savings: 11.60/76 = 0.1526..= 15.26%</span>
Answer:
145°
Step-by-step explanation:
< 6 + <2 = 180° {being linear pair }
70° + < 2 = 180°
< 2 = 180° - 70°
< 2 = 110°
Now
< 4 = < 1 + < 2 (exterior angle of a triangle is equal to the sum of two opposite interior angles)
<4 = 35° + 110°
= 145°
Hope it will help :)