Answer:
An equation in standard form for the line is:
Step-by-step explanation:
Given the points
The slope between two points
Writing the equation in point-slope form
As the point-slope form of the line equation is defined by
Putting the point (-2, -1) and the slope m=1 in the line equation
Writing the equation in the standard form form
As we know that the equation in the standard form is
where x and y are variables and A, B and C are constants
so
Therefore, an equation in standard form for the line is:
Answer:
C) The solution for the given system of equations are A(0,-5) and B(-4,3)
Step-by-step explanation:
The given system of equation are : 
from equation 2, we get y = -5 - 2x .
Put the above value of y in the equation (1).
We get: 
By ALGEBRAIC IDENTITY:
or, 
or, 
⇒ x = 0 or, x = -20/5 = -4
So, the possible values for x are: x = 0 or x = -4
If x = 0, y = -5-2x = -5-2(0) = -5
and if x = -4, y = -5 -2(-4) = -5 + 8 = 3
Hence, the solution for the given system of equations are A(0,-5) and B(-4,3)
We are given traingle ABC and Triangle DEF.
Angle <A is congruent to Angle <D
Angle <B is congruent to Angle <E
Angle <C is congruent to Angle <F.
If two pairs of corresponding angles are congruent to each other, then the triangles are similar by Angle-Angle Similarity.
<em>By Angle-Angle similarity postulate triangle ABC and triangle DEF are similar.</em>
Therefore, option C is correct option.
<h3>
C. Similar - AA.</h3>
49=16+x^2
x^2= 33
x= square root of 33
Answer:
C. 17,820
Step-by-step explanation:
30,500-12,680= 17,820
