Using linear function concepts, a system of equations with no solutions is created when:
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
The intersection of two lines is the solution of a system of equations. If two lines have the <u>same slope and different intercepts</u>, they will never intercept, that is, the system will not have a solution.
The lines are given as follows:
Hence, for a system with no solution, we need that:
More can be learned about linear function concepts at brainly.com/question/24808124
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Answer:
<h3> The true statement is the first:</h3><h2>
Measure of angle A = 20 degrees</h2>
Step-by-step explanation:
The sum of the measure of the interior angles in a triangle is 180°
m∠A + m∠B + m∠C = 180°
(2x)° + (5x)° + (11x)° = 180°
(18x)° = 180°
x = 10
A = (2×10)° = 20° {<u>the first statement is true}</u>
B = (5×10)° = 50° {the second statement is false}
C = (11×10)° = 110°
m∠A + m∠B = 20° + 50° = 70° ≠ 90° {the third statement is false}
m∠A + m∠C = 20° + 110° = 130° ≠ 120° {the fourth statement is false}
Answer: 127 cookies
Step-by-step explanation:
1. If you look back to the text you will see that 12 is 1 in 1:3:4 and you multiply that by 2. 12 * 2 = 24.
2. Divide 24 by 3 and that gives you 8 than times it by 5 for it to give you 40
3. Divide 36 by 4 and that equals to 9 than multiply it by 7 which that gives you 63
4. Add 24, 40, and 63 for it to give you 127
Thank you for following these steps if it is correct and this is my first time so if I am incorrect I will look upon my mistake and correct and help many of you people who need help
A tetrahedron is a shape made out of four triangular faces, and it has a total of <span>six edges
</span>
ANSWER
and
e have
EXPLANATION
Let us make y the subject and call it equation (2)
We put equation (2) in to equation (1)
Simplify to get,
Divide both sides by 31,
We put this value in to equation (2) to get,
We collect LCM to obtain,
