Answer:
the answer for this is option C 4x/x+5
The normal form of a line is given by the equation x * cos theta + y * sin theta = p where theta is the angle of the normal line from the positive x-axis and p is the length of the normal line. Converting to normal line form, the equation must first be converted into standard form: 2x + 7y = 4. Then dividing the whole equation by sqrt(a^2 + b^2): sqrt(2^2 + 7^2) = sqrt(53). Hence, the equation becomes 2 / sqrt(53) * x + 7 / sqrt(53) * y = 4 / sqrt(53). Therefore, the length of the normal line is 4 / sqrt(53), and the angle is arctan(7/2) = 74.05 degrees.
I hope my answer has come to your help. Thank you for posting your question here in Brainly.
Answer:
D. 100 cm^2
Step-by-step explanation:
i did this before so ik im right
The zero product property tells us that if we have
xy=0, then we can assume that x and y both equal 0
so
(4k+5)(k+7)=0
we can assume that 4k+5=0 and k+7=0
so
4k+5=0
minus 5 both sides
4k=-5
divide both sides by 4
k=-5/4
k+7=0
minus 7 both sides
k=-7
k=-5/4 or -7
You're on the right track! Now that you have drawn a right triangle with the hypotenuse as the segment from Joe's home to the Park, we can use Pythagorean Theorem to solve for the hypotenuse.
Pythagorean Theorem = a squared + b squared = c squared
A and B are the legs, and C is the hypotenuse. We can find the legs be calculating how many units they are.
2 - (-1) = 3
3 - 1 = 2
Pythagorean Theorem = 3 squared + 2 squared = c squared
= 9 + 4 = c squared
= 13 = c squared
=

= c
The square root of 13 is around 3.6, so Joe's house is approximately 3.6 miles away from the park.