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3 years ago

10 points. Plz help. What is the equation for the line that passes through (5, -3) and (2, 3) on a graph

1 answer:

4 0

Slope formula = y2 - y1/ x2 - x1
SF = 3 - (-3)/ 2 - 5
SF = 6/ -3
Slope = -2

Now we need to find b (the y-intercept)
y = mx + b
y = -2x + b
3 = -2(2) + b
3 = -4 + b
+4 +4
7 = b

The equation of the line should be:
y = -2x + 7

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The focal lengths of the objective lens and the eyepiece of a microscope are 0.50 cm and 2.0 cm, respectively, and their separat

VladimirAG [237]

Answer:

- 103.7

Step-by-step explanation:

Given:

Focal length of the eyepiece, f = 2.0 cm

Focal length of the objective lens, f' = 0.50 cm

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Image distance, v = - 25 cm

Now, from the lens formula,

$\frac{1}{f}=\frac{1}{u}+\frac{1}{v}$

here, u is the object distance

on substituting the respective values, we get

$\frac{1}{2}=\frac{1}{u}+\frac{1}{-25}$

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also, the separation is adjusted for minimum eyestrain,

therefore, image distance for the objective lens, v' = 6 - 1.852 = 4.148 cm

Now, for the objective lens

using the lens formula, we get

$\frac{1}{0.5}=\frac{1}{u'}+\frac{1}{4.418}$

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4 0

3 years ago

Which value is in the domain of f(x)?

Mariana [72]

Answer: x = 4

Step-by-step explanation:

Here we have a piecewise function.

One piece works for values of x such that: -6 < x < 0

And the other piece works for values of x such that: 0 < x ≤ 4

Then the domain of this function is:

D = (-6, 0) U (0, 4]

Notice that, becuse we use the symbols ><, the values of x:

x = -6

x = 0

Do not belong to this domain.

While becuase we use the symbol ≤ in the right end, the value x = 4 does belong to the domain.

Then for the given options, the only value that belongs to the domain is the third option, x = 4.

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3 years ago