Yup, the amount of 0's is the exponent. for example 1000= 10^3, hope this helped :)
Answer:
1/72
Step-by-step explanation:
Not entirely sure but i do hope it helps
ANSWER
The vertex is (-2,1)
EXPLANATION
We want to find the vertex of

We complete the square to obtain,

The first three terms forms a perfect square trinomial.

The vertex form is

This equation is in the form;

where (h,k)=(-2,1) is the vertex.
Answer:
Explanation:
Work backward:
1. 2x + 23 = 30
Start:
Multiply the equation by 2:
Subtract 30 from both sides
- 2x - 30 = 7 - 30
- 2x - 30 = -23
Add 23 and 30 to both sides:
2. 3x + 19.5 = 30
Start:
Add 6.5 to both sides:
Multiply by 3:
Distributive property:
3. (10x - 20)/ 5 = 3
Start:
Multiply by 10:
Subtract 20:
Divide by 5:
Answer:
Step-by-step explanation:
In the diagram shown, the measure of angle 1 is oppositely directed to angle 2 and oppositely directed angles are equal.
Hence <1 = <3
Given < 1 = 3x-1 and <3 = 2x+9
Hence 3x-1 = 2x+9
collect like terms
3x-2x = 9+1
x = 10°
Since <1 = 3x-1
on substituting x = 10
<1 = 3(10)-1
<1 = 30-1
<1 = 29°
<1+<2 = 180 (angle on a straight line)
29+<2 = 180
<2 = 180-29
<2 = 151°
Similarly, on substituting x = 10 into <3
<3 = 2x+9
<3 = 2(10)+9
<3 = 20+9
<3 = 29°
<3+<4 = 180 (angle on a straight line)
29+<4 = 180
<4 = 180-29
<4 = 151°