A^2 + b^2 = c^2
the sides are 11, 13, and 25
11^2+13^2=290
25^2 = 625
11^2+13^2<25^2
So, this is an obtuse triangle
Answer:
See attached
Step-by-step explanation:
In the questions, find the equation of the dash line then apply the appropriate inequality sign.
In the first one, take points (-3,2) and (0,1) find the gradient and slope of the line.
slope of line, m=Δy/Δx
Δy=1-2=-1
Δx= 0--3=3
m= -1/3
Finding the equation of the line;
y-1/x-0 = -1/3
3y-3 =-x
3y=-x+3
y=-1/3 x+1
The inequality can be ;
y> -1/3 x +1 or y<-1/3 x +1 depending on the shaded region as attached
In 2.
You have two graphs that provide the solution of the inequality.
In the graph represented by line 1, where you have points (-3,-4) and (-5,-5)
The slope will be,
m=-5--4/-5--3
m=-5+4/-5+3
m=-1/-2 = 1/2
The equation will be;
y--4/x--3= 1/2
y+4/x+3= 1/2
2y+8=x+3
2y=x+3-8
2y=x-5
y=1/2x -2.5
In the line with points (-3,-4) and (1,-6)
m=-6--4/1--3
m=-6+4/1+3
m=-2/4 = -1/2
Finding the equation of the line
y--4/x--3 = -1/2
2(y+4) = -1 (x+3)
2y+8 =-x-3
2y=-x-3-8
2y=-x-11
y= -1/2x-5.5
The inequality can be ;
y>1/2x + 2.5
y> -1/2x -5.5
or
y< 1/2 x +2.5
y< -1/2x-5.5
Depending on the area shaded as show in the attached graphs
Learn more
Keywords : Inequalities, graph solutions
#LearnwithBrainly
Answer:
<h3>I had an advise that math antics can help u </h3>
Step-by-step explanation:
<h3>Thank you</h3>
<span>If I am using the inspection method, the constant term that I would need in the numerator of this rational expression for (x+5) to be a common factor of (x^2+6x+14) / (x+5) is 11/(x+1)</span>
Answer:
d:) 1024
Step-by-step explanation:
Evaluate (4 x^3)^2 where x = 2:
(4 x^3)^2 = (4×2^3)^2
Multiply each exponent in 4×2^3 by 2:
4^2 (2^3)^2
Multiply exponents. (2^3)^2 = 2^(3×2):
2^(3×2)×4^2
4^2 = 16:
2^(3×2)×16
3×2 = 6:
2^6×16
2^6 = (2^3)^2 = (2×2^2)^2:
(2×2^2)^2 16
2^2 = 4:
(2×4)^2 16
2×4 = 8:
8^2×16
8^2 = 64:
64×16
| | 6 | 4
× | | 1 | 6
| 3 | 8 | 4
| 6 | 4 | 0
1 | 0 | 2 | 4:
Answer: 1024