For the first question, we can extend all of the lines on the trapezoid, and triple the distance from B on the line, so we can use the fact that B is (2, 2), A is (0, 0), C is (4, 2), and D is (6, 0) to get that the new coordinates are A (-4, -4), B (2, 2), C (8, 2), and D (14, -4).
For the second question, notice that we are changing the size on the same line, and every side length is tripled by 3. If every side length is tripled by 3, then the perimeter of the new image is triple the perimeter of the original.
Answer:
Step-by-step explanation:
An easy way to get exponents done if you're dealing with a multiple of 10, is to count the number of 0's present.
Since there are 3 0's in 1000, 10*10*10 = 1000 which just so happens to be the exponent needed
Answer:
x = -2; or x = -8
Step-by-step explanation:
Solve the quadratic function by completing the square. What are the missing pieces in the steps? -32=2(x^2+10)
-32+___=2(x2+10x+25)
18=2(x+5)^2
9=(x+5)^2
+-___=x+5
X=-2 or x=___
Solution:
From the first line:
-32+___=2(x2+10x+25)
Also, in the second line:
18=2(x+5)^2
Let the missing piece on line 2 be a, hence:
x² + 10x + 25 = (x + 5)² and -32 + a = 18
a = 18 + 32 = 50
-32 + 50 =2(x²+10x+25)
18 = 2(x+5)²
Dividing through by 2:
18 / 2= [2(x+5)² / 2]
9 = (x + 5)²
Taking square root of both sides:
√9 = √(x + 5)²
± 3 = x+5
Simplifying the equation to get:
3 = x + 5; -3 = x + 5
x = 3 - 5; or x = -3 - 5
x = -2; or x = -8
Answer:
273,050
Step-by-step explanation:
(27000+300+5)×10
=27305×10
=273050
Hello!
There is an existing logarithmic property that states that
is equal to
.
Following that property, we can tell that
would be equal to
.
ANSWER: (third option)
