Answer:
<h2>
y = ¹/₂x + 6</h2>
Step-by-step explanation:
The product of slopes of perpendicular lines is -1
y = - 2x + 6 ⇒ m₁ = - 2
m₁m₂ = -1
-2m₂ = -1
m₂ = ⁻¹/₋₂ = ¹/₂
The Point-Slope form of equation of a line with slope of "m" and passing through point (x₁, y₁) is: y - y₁ = m(x - x₁)
m = ¹/₂
(-2, 5) ⇒ x₁ = -2, y₁ = 5
So the equation in point-slope form:
y - 5 = ¹/₂(x - (-2))
Therefore:
y - 5 = ¹/₂x + 1
y = ¹/₂x + 1 + 5
<h3>
y = ¹/₂x + 6</h3>
Answer:
![a=\sqrt{609}\\\\a\approx 24.67793](https://tex.z-dn.net/?f=a%3D%5Csqrt%7B609%7D%5C%5C%5C%5Ca%5Capprox%2024.67793)
Step-by-step explanation:
To solve for the leg of the missing right triangle, one must use the Pythagorean theorem. The Pythagorean theorem states the following,
![a^2+b^2=c^2](https://tex.z-dn.net/?f=a%5E2%2Bb%5E2%3Dc%5E2)
Where (a) and (b) are the sides adjacent to or next to the right angle. (c) is the side opposite the right angle. Substitute in the given values and solve for the unknown,
![a^2+b^2=c^2\\](https://tex.z-dn.net/?f=a%5E2%2Bb%5E2%3Dc%5E2%5C%5C)
Substitute,
![a^2+40^2=47^2\\](https://tex.z-dn.net/?f=a%5E2%2B40%5E2%3D47%5E2%5C%5C)
Simplify,
![a^2+1600=2209\\](https://tex.z-dn.net/?f=a%5E2%2B1600%3D2209%5C%5C)
Inverse operations,
![a^2=609](https://tex.z-dn.net/?f=a%5E2%3D609)
![a=\sqrt{609}\\\\a\approx 24.67793](https://tex.z-dn.net/?f=a%3D%5Csqrt%7B609%7D%5C%5C%5C%5Ca%5Capprox%2024.67793)
Answer:
c.
Step-by-step explanation:
Answer:
i know b only Sorry hope this helps tho
Step-by-step explanation:
its 4 because each space is 25% no matter how big or small it is. so if you land on -9 to -5 thats 25% and to -2 thats another 25% total 50% its asking for 75% so you go one more which lands on 4 making it 75%