Answer: 15
Step-by-step explanation:
First step is to find the slope of the line given
y = -x - 2
y = mx + c where m is the slope of the line so the slope of the line is -1
If 2 lines are perpendicular to one another, the product of the slopes is -1 so the slope of the perpendicular line is -1/-1 = 1
y = 1x + c or y = x + c
As the line passes through the coordinate (-5,10), we can substitute the x and y value of the coordinates into the equation
10 = -5 + c
c = 15
So the equation of the line is y = x + 15
Answer: n=3
Step-by-step explanation:
Answer:
- B = 58°
- a = 6.6896
- c = 1.5915
Step-by-step explanation:
Given two angles and the side between them, the first step must be to find the value of the third angle, the one opposite the given side. It will be ...
B = 180° -A -C = 180° -109° -13° = 58°
Using this information and the Law of Sines, you can find the remaining sides.
a/sin(A) = b/sin(B) = c/sin(C)
__
Then the missing sides are ...
a = b(sin(A)/sin(B)) = 6(sin(109°)/sin(58°)) ≈ 6.6896
c = b(sin(C)/sin(B)) = 6(sin(13°)/sin(58°)) ≈ 1.5915
The missing measures are ...
B = 58°
a = 6.6896
c = 1.5915
Circumference = 2πr
Given that circumference 0s 6π, find radius:
2πr = 6π
r = 6π ÷ 2π = 3
Now that we know that the radius is 3 yard, find area:
Area = πr²
Area = π(3)²
Area = 9π = 28.27 yd²
Answer: 28.27 yd²
Answer:
A; ?; Line 3
Step-by-step explanation:
Question 1:
-30 divided by -6 is 5.
The negatives cancel each other out.
And 30 divided by 6 is simply 5.
Question 2:

Do the operation inside the parenthesis first:

Divide. 12 does not go into 62 evenly. 12 times 5 is 60, so the answer is 5 remainder 2:

Or in fractions:

(Was there a typo? From what you've given me, the correct answer is not listed.)
Question 3:
So we have to following steps:

The mistake is in Line 3. Danny cannot just combine 5+6(2) into 11(2). Instead, he should multiply 6(2) and then add. Thus, the correct solution is:
