A student spends no more than 2 hours on his math and english homework. If math takes about twice as long as english, what is th
1 answer:
You might be interested in
Answer:
B. y = -3x + 2
Step-by-step explanation:
The equation for slope intercept form is
We need to find the slope and y-intercept.
<u>Let's find the slope first.</u>
Using the slope formula:
So, the slope of the points (0,2) and (2,-4) is -3.
-3 will replace m.
The Y-intercept, or b, is 2, since (0,2) is on the y-axis.
We end up with:
<em>Option B is correct since it matches our equation. </em>
The given side lengths of 12, 17, and 24 give a unique triangle from which the measure of angle ∠B, taken as the angle opposite the side of length 17, and found using cosine rule, is approximately 41.56°
<h3>What is the law of cosines?</h3>The law of cosines states that the the square of the length of a side of a triangle is given by the sum of the square of the other two sides, less the product of two and the other two sides, and the cosine of the angle between them
Mathematically, a²= b² + c² - 2·b·c·cos(A)
The given lengths of the sides are; 12, 17 and 24
The measure of the angles are given by the law of cosines as follows;
a² = b² + c² - 2·b·c·cos(A)
Which gives;
2·b·c·cos(A) = b² + c² - a²
Which gives;
Let a = 12, b = 17, and <em>c </em>= 24, we have;
Similarly, we have;
- The measure of angle <em>∠B </em>is approximately 41.56°
Learn more about the law of cosines here:
#SPJ1