Answer: y = 3x - 4 will be the parallel line to the line y= 3x -1
Step-by-step explanation:
Parallel lines have the same slope but different y intercepts, so using the equation given , use the formula y=mx +b where m is the slope and b is the
y - intercept ,and input the x and y coordinate to solve for b. Input the same slope into the formula because they will have the same slope.
5= 3(3) + b
5 = 9 + b
-9 -9
b = -4
Since the y intercept is negative 4, the equation will be y = 3x -4
Answer:
x=−5
Step-by-step explanation:
Subtract 2525 from both sides of the equation.
x2+10x=−25x2+10x=-25
To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of bb.
(b2)2=(5)2(b2)2=(5)2
Add the term to each side of the equation.
x2+10x+(5)2=−25+(5)2x2+10x+(5)2=-25+(5)2
Simplify the equation.
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Raise 55 to the power of 22.
x2+10x+25=−25+(5)2x2+10x+25=-25+(5)2
Simplify −25+(5)2-25+(5)2.
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x2+10x+25=0x2+10x+25=0
Factor the perfect trinomial square into (x+5)2(x+5)2.
(x+5)2=0(x+5)2=0
Set x+5x+5 equal to 00 and solve for xx.
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Set the factor equal to 00.
x+5=0x+5=0
Subtract 55 from both sides of the equation.
x=−5
total used, t = 18324 tokens
Assuming each machine took equal,
then each machine took 18324÷3 = 6108
Assuming each machine took 3/4,
then full amount = 6108 ÷ 3/4 = 8144 tokems
The correct option is B. Yes, SSS congruency
<h3>Reasons</h3>
Yes, more than one triangle can be made using the given measurements
The appropriate triangle congruence postulate is the SSS congruence which states that If all the three sides of one triangle are equivalent to that of the second triangle, then the two triangles are said to be congruent.
Thus, the option B is correct
The complete question is ;
The measurements of a triangle are given. Is there exactly one triangle that can be formed using the given measurements? If so, identify the appropriate triangle congruence postulate.
∆ABC : m ∠A = 90°, AB = 15, AC = 15
A)No, More than one triangle could be made with these measures
B)Yes, SSS congruency
C)Yes, ASA congruency
D)Yes, SAS congruency
Learn more about congruency here:
brainly.com/question/2938476
#SPJ1
Answer:
Option B Is correct
Step-by-step explanation:
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