First, isolate x in x-4y=11 because 1 is x's coefficient.
x-4y=11
x=11+4y
Now, substitute 4y+11 for x in 5x-7y=-10.
5x-7y=-10
5(4y+11)-7y=-10
20y+55-7y=-10
Add all coefficients.
13y+55=-10
Isolate y by subtracting 55 from both sides.
13y+55=-10
13y=-10-55
13y=-65
y=-5
Now substitute -5 for y in your first equation.
x=11+4y
x=11+4(-5)
x=11-20
x=-9
Your answer would be (-9,-5).
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Answer:
55°
Step-by-step explanation:
Given that;
Lines CD and DE are tangent to circle A and intersect at point D.
and:
Arc CE measures 125 degrees. Point B lies on circle A.
There lies a diagrammatic representation below given a clear picture of what this question looks like;
If arc CE is 125°, what is the measure of ∠CDE?
SO, by using the outside angle theorem
∠CDE = 
where arc CE = 125°
we can determine CBE by subtracting it from angle of a circle = 360°
Thus, CBE = 360° - 125°
CBE = 235°
Again; ∠CDE = 
∠CDE = 
∠CDE = 
∠CDE = 55°
∴ The measure of ∠CDE = 55°
see the picture attached to better understand the problem
we know that
two tangent segments drawn from the same exterior point are congruent
so
JA=JB ,
LA=LC,
KC=KB
JA=13 units
LA=7 units
kC=10 units
hence
perimeter = JA+JB+LA+LC+KC+KB------> 13+13+7+7+10+10------> =60 units
therefore
the answer is
the perimeter of triangle JKL is 60 units
Answer:
95%
Step-by-step explanation:
the table:4 represents a linear function.
What is system of linear equations?
The intersections or meetings of the lines or planes that represent the linear equations are known as the solutions of linear equations. The set of values for the variables in every feasible solution is a solution set for a system of linear equations.
Not a Solution
If there is no intersection of any lines, or if the graphs of the linear equations are parallel, then the system of linear equations cannot be solved.
An Endless Number of Options
A set of infinite points exists for which the L.H.S. and R.H.S. of an equation become equal, indicating that a system of linear equations has an infinite number of solutions.
Unique fixing a series of linear equations
For table 4: The slope will be (8-6)/(3-5) = 2/-2 = -1
and (10-8)/(1-3) = 2/-2 = -1
Hence, the table:4 represents a linear function.
For a function to be linear the slope of all the segments should be same.
Learn more about system of linear equations, by the following link.
brainly.com/question/25858757
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