Answer:
D. 3
Step-by-step explanation:
To find the slope of a line, we can use the equation y2-y1/x2-x1=m or slope.
All we can do now is insert the values of the points into the equation.
-8-7/-4-1=m
-15/-5=m
3=m
Thus, the slope is 3.
Hope this helps!
Answer:
scalene
Step-by-step explanation:
step 1
Find the value of y
we know that
The sum of the interior angles in a triangle must be equal to 180 degrees
In this problem
m∠A+m∠B+m∠C=180°
substitute the given values

Solve for y




step 2
<em>Find the measure of angle B</em>
m∠B=(y+40)°
substitute the value of y
m∠B=(15+40)=55°
step 3
<em>Find the measure of angle C</em>
m∠C=(3y-10)°
substitute the value of y
m∠C=(3(15)-10)=35°
The three interior angles are different
so
The three sides of the ABC triangle will also be different
therefore
The right triangle ABC is scalene
Answer:
50
Step-by-step explanation:
Because of supplementary angles that line has to equal to 180
180-75 = 105
so 105 = (2x + 5)
you can subtract 5 from each side and get
100 = (2x)
then divide each side by 2 and you get
x = 50
you can check it by doing (2 x 50 + 5)
2 x 50 = 100 + 5 = 105 + 75 = 180
1) The x-axis represents the energy (
), in joules. The y-axis represents the amplitude (
), in milimeters.
2) The curve depicts an <em>monotonous decrecent</em> rate of change.
3) The amplitude is directly proportional to the root square of the energy.
<h3>How to analyze a graph relationship between two variables</h3>
In this question we have a relationship between two variables, in which we must apply principles of <em>functional</em> analysis to respond three questions presented in the statement.
Now we proceed to answer the three questions below:
- <em>What is on the x-axis? The y-axis?</em> R/ The x-axis represents the energy (
), in joules. The y-axis represents the amplitude (
), in milimeters. - <em>How would you describe the rate of change of the line?</em> R/ The curve depicts an <em>monotonous decrecent</em> rate of change, that is, the slope converges to zero when the energy tends to infinite.
- <em>What does this tell you about the relationship between amplitude and energy?</em> R/ The curve show a strong similarity with a function of the form
. Hence, the amplitude is directly proportional to the root square of the energy.
To learn more on functions, we kindly invite to check this verified question: brainly.com/question/12431044
The definition of a function is a relation where every input (x value) is paired with exactly one output (y-value).
A. Not a function, because you have (300, 9) and (300,7). The x-value 300 is paired with two different y-values, 9 and 7.
B. Not a function. (260, 4) and (260, 2)
C. Is a function
D. Not a function. (225, 4) and (225, 2)