Do u want me to explain or just give u the answer
Answer: y = -1x + 8
Step-by-step explanation: linear equations must be written in the format
y = mx + b from.
m represents the slope which it -1
b represents the y-intercept which is 8.
Just substitute the slope and y-intercept in the m and b places and that is a linear equation.
As soon as I read this, the words "law of cosines" popped
into my head. I don't have a good intuitive feeling for the
law of cosines, but I went and looked it up (you probably
could have done that), and I found that it's exactly what
you need for this problem.
The "law of cosines" relates the lengths of the sides of any
triangle to the cosine of one of its angles ... just what we need,
since we know all the sides, and we want to find one of the angles.
To find angle-B, the law of cosines says
b² = a² + c² - 2 a c cosine(B)
B = angle-B
b = the side opposite angle-B = 1.4
a, c = the other 2 sides = 1 and 1.9
(1.4)² = (1)² + (1.9)² - (2 x 1 x 1.9) cos(B)
1.96 = (1) + (3.61) - (3.8) cos(B)
Add 3.8 cos(B) from each side:
1.96 + 3.8 cos(B) = 4.61
Subtract 1.96 from each side:
3.8 cos(B) = 2.65
Divide each side by 3.8 :
cos(B) = 0.69737 (rounded)
Whipping out the
trusty calculator:
B = the angle whose cosine is 0.69737
= 45.784° .
Now, for the first time, I'll take a deep breath, then hold it
while I look back at the question and see whether this is
anywhere near one of the choices ...
By gosh ! Choice 'B' is 45.8° ! yay !
I'll bet that's it !
Answer:
x ≈ 7.1
Step-by-step explanation:
Using the cosine ratio in the right triangle.
cos27° = 
= 
= 
( multiply both sides by x )
x × cos27° = 6.3 ( divide both sides by cos27° )
x = 
≈ 7.1 ( to the nearest tenth )
Answer:
y=5 or y=−5 it does not matter either one
Step-by-step explanation:
25=y2
Step 1: Subtract y^2 from both sides.
25−y2=y2−y2
−y2+25=0
Step 2: Subtract 25 from both sides.
−y2+25−25=0−25
−y2=−25
Step 3: Divide both sides by -1.
−y2
−1
=
−25
−1
y2=25
Step 4: Take square root.
y=±√25
y=5 or y=−5
