Answer
Slope(m) = -1
Step by step explanation
Slope (m) = (y2 - y1)/(x2 - x1)
Here p1 = (-2, 3) and p2 (1, 0)
x1 = -2, y1 = 3, x2 = 1, y2 = 0
Now plug in the values in the slope formula, we get
m = (0 - 3) / (1 - (-2))
m = -3/(1 + 2)
m = -3/3
m = -1
Therefore, slope = -1
Thank you.
Definition:
Hyperopia, or farsightedness, is a common vision problem. It affects up to a fourth of the population. The people diagnosed with this can see far away objects very well but have trouble seeing things close to them.
Symptoms:
Farsighted people sometimes have headaches or eye strain and may squint or feel fatigued when performing work at close range. If you get these symptoms while wearing your eyeglasses or contact lenses, you may need an eye exam and a new prescription.
What causes this?
This vision problem occurs when light rays entering the eye focus behind the retina, rather than directly on it. The eyeball of a farsighted person is shorter than normal.
Many children are born farsighted, and some of them "outgrow" it as the eyeball lengthens with normal growth.
Sometimes people confuse hyperopia with presbyopia, which also causes near vision problems but for different reasons.
Okay I'll try to show it step by step
Step 1. So first you need to recognise that the diagram is a right angled triangle, with the right angle being at the bottom. This means we can do Pythagoras' Theorem.
Step 2. Now that you know you can use Pythagoras' Theorem, you can apply it. If you don't know, the theorem is a² + b² = c², with, in this case, a being 5 and b being 8. This means we can do 5² + 8² = 25 + 64 = 89.
Step 3. From the previous step, we now know that the length of the side including x is √89, and because we know that part of this side is 3, if we subtract 3 from √89 we get the value of x, so: √89 - 3 = 9.434 - 3 = 6.434, which is your answer.
I hope this helps!
Answer:
24.
Step-by-step explanation:
Let's make the answer a variable, alright?
20 = (x - 3)/3 + 3(x + 2)
Get rid of the fractions.
120 = 2(x-3) + 3(x + 2)
120 = 2x - 6 + 3x + 6
120 = 5x
x = 24.
24 is your answer.
