Answer: Option b
Step-by-step explanation:
Linear equations have the following form:
Where the exponents n, m, s and h are always 0 or 1
To know which equations are nonlinear, identify among the options given, those that have exponents other than 1 or 0
Note that in option b) the exponent of the variable x is 
therefore the equation is nonlinear
Finally the answer is the option b
Answer:
Step-by-step explanation:
1). segment AB ≅ segment AE ......... 1). Given
2). ΔBAE is isosceles .............. 2). Definition of isosceles Δs
3). ∠ABC ≅ ∠AEB ............. 3). Corollary to isosceles Δs theorem
4). segment BG ≅ segment EF ........ 4). Definition of midpoints
5). segment BC ≅ segment ED ......... 5) Given
6). segment CD ≅ segment DC ....... 6). Reflexive property
7). segment BD ≅ segment EC ........ 7). Property of sum of equals parts
8). ΔBGD ≅ Δ EFC ............... 8). SAS postulate
9). ∠1 ≅ ∠2 ............ 9). Corresponding parts of congruent Δs
10). ΔCHD is isosceles ............ 10). Corollary to isosceles Δs theorem
Step-by-step explanation:
p² + q² + 5(p² + q²)
= 1(p² + q²) + 5(p² + q²)
= (1 + 5)(p² + q²)
= 6(p² + q²).
Answer:
Step-by-step explanation:
The circumference of a circle with radius 
is given by 
. The length of an arc is makes up part of this circumference, and is directly proportion to the central angle of the arc. Since there are 360 degrees in a circle, the length of an arc with central angle 
is equal to 
.
Formulas at a glance:
- Circumference of a circle with radius :
- Length of an arc with central angle :
<u>Question 1:</u>
The radius of the circle is 12 m. Therefore, the circumference is:
The measure of the central angle of the bolded arc is 270 degrees. Therefore, the measure of the bolded arc is equal to:
<u>Question 2:</u>
In the circle shown, the radius is marked as 2 miles. Substituting 
into our circumference formula, we get:
The measure of the central angle of the bolded arc is 135 degrees. Its length must then be:
Remember that things like this, always need to add up to 180°.
