We will use d for drama and y for yearbook.
d + y = 64
d = y + 10
Now that we have the system if equations we can use substitution where you plug y+10 in for d in the first equation.
(y + 10) + y = 64
2y + 10 = 64
2y = 54
y = 27
If 27 of the 64 are in the yearbook club, 37 are in drama.
<h2>Answer: y = x - 1</h2>
<h3>Step-by-step explanation:
</h3>
<u>Find the slope of the parallel line</u>
When two lines are parallel, they have the same slope.
⇒ if the slope of this line = 1
then the slope of the parallel line (m) = 1
<u>Determine the equation</u>
We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line: (5, 4)
⇒ y - 4 = 1 (x - 5)
∴ y - 4 = x - 5
We can also write the equation in the slope-intercept form by making y the subject of the equation and expanding the bracket to simplify:
since y - 4 = x - 5
<h3> y = x - 1</h3>
To test my answer, I drew a Desmos Graph with the information provided in the question and my answer.
Diagonals of the parallelogram are congruent.
The value of k must be:
<h2>
Explanation:</h2>
First of all, you need to know that the Slope-intercept form of the equation of a line is given by:
So, let's arrange our given equation:
As you can see, we can know that:
But we know that the slope is 3/2:
<h2>Learn more:</h2>
Relationship among proportional relationships lines, rates of change, and slope:
brainly.com/question/674693
#LearnWithBrainly
Answer:
Step-by-step explanation:
We need to first simplify the expression using rationalization(i.e. if a square root term exists in the denominator, then multiply and divide the whole expression by the denominator(but the change the sign of its middle term))
here, we need to find:
first we'll rationalize our expression:
this is our simplified expression, now we can apply our limits:
the limit does exists and it is 2.