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4 years ago

What is the length of segment CD question mark

Mathematics

1 answer:

blagie [28]4 years ago

8 0

Answer:

CD = two square root of 10 end square root

Step-by-step explanation:

To find the length of a segment, use the distance formula. Substitute the order pairs for the endpoints of the segment. CD has the end points (-7, -4) and (-1, -2).

$d = \sqrt{(y_2-y_1)^2 + (x_2-x_1)^2} \\\\d = \sqrt{(-4--2)^2 + (-7--1)^2} \\\\d = \sqrt{-2^2 + -6^2}\\\\d = \sqrt{4 + 36}\\\\d=\sqrt {40} = 2\sqrt{10}$

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Mila [183]

The answer would be 2.4 meters per second. To find this, you would divide the 50 meters by 21 seconds. It equals 2.380952, and rounds to 2.4m/s.

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3 years ago

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The light intensity I (in lumens) at a depth of x feet in Lake Elizabeth is given by the formula log (StartFraction Upper I Ove

antiseptic1488 [7]

Answer:

The light intensity at a depth of 24 feet is 3.0143 lumens.

The light intensity will be 7 lumenus at the depth of 9.3732 feet approximately.

Step-by-step explanation:

Consider the provided formula.

$log(\frac{I}{12})=-0.025x$

Where I is the intensity of light and x is the depth.

Part (A) Find the light intensity at a depth of 24 feet.

Substitute x=24 in above formula.

$log(\frac{I}{12})=-0.025(24)$

$log(\frac{I}{12})=-0.6$

$\frac{I}{12}=10^{-0.6}$

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Hence, the light intensity at a depth of 24 feet is 3.0143 lumens.

Part (B) At what depth is the light intensity 7 lumens

Substitute I=7 in above formula.

$log(\frac{7}{12})=-0.025x$

$-0.23433=-0.025x$

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$x=\frac{0.23433}{0.025}$

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Hence, the light intensity will be 7 lumenus at the depth of 9.3732 feet approximately.

3 0

3 years ago

HELPPPPPPP :)))))))))

vodka [1.7K]

Answer:

624ft

Step-by-step explanation:

Surface Area of a Triangular Prism (A) = b*(h + l) + 2*l*s

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3 years ago

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Lisa [10]

Answer:

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Step-by-step explanation:

If using the substitution method, then the second choice is the most efficient first step.

<u>What is the substitution method?</u>

The substitution method can be used to solve a system of equations. It is when you isolate any of the variables from one of the equations and then substitute that value into the other equation.

Here, the first equation already has an isolated variable, y. We can then substitute its value into the second equation. Like so:

⇒ 2x + 6y = 20

⇒ 2x + 6(3x - 5) = 20

Learn more about the substitution method here:

brainly.com/question/27728118
brainly.com/question/26094713

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2 years ago

Thanks for the first guy lol that helped

IRISSAK [1]

I think your answer is y = mx+b.

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3 years ago