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professor190 [17]
3 years ago
6

Solve by factoring2n^2+12n+18

Mathematics
1 answer:
Gelneren [198K]3 years ago
8 0

Answer:

Step-by-step explanation:

d/dn(2 n^2 + 12 n + 18) = 4 (n + 3)

Indefinite integral:

integral(18 + 12 n + 2 n^2) dn = (2 n^3)/3 + 6 n^2 + 18 n + constant

Global minimum:

min{2 n^2 + 12 n + 18} = 0 at n = -3

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The following figure is drawn to find the distance across a lake, CD.
Aloiza [94]

Hello!

To do this, we know the two triangles are similar, so we can set up a proportion, and then find the length of the lake.

----

The two triangles (Triangle AEB and ADC) are similar. We know this because all the angles have the same measurement - They all share angle A, they both have a right angle, and therefore, their third angle measures the same.

What we know about both triangles is their hypotenuse length. We know that triangle AEB has a hypotenuse that measures 320 m, and ADC has a hypotenuse that measures 320 + 162, or 482 m.

320 : 482 is therefore the ratio between the side lengths of two triangles (AEB : ADC). We can simplify this to 160 : 241.

Now, what we are looking for is the side length DC. The corresponding side to this in triangle AEB is EB, and we know it measures 40 m. Therefore, using the ratio, we can find the measure of DC.

160 / 4 : 241 / 4

40 : 60.25

Therefore, the measure of DC is 60.25 m.

----

Hope this helps!

7 0
3 years ago
Given the rectangle, find all the missing angle measures based on the given angle.
Elan Coil [88]

Answer:

m1 = 44 m2 = 46

Step-by-step explanation:

On the opposite side of the 1, there is a 44

The 1 and 44 seem like the same angle so m1 is 44

Rectangles have four right angles which measure as 90°

90-44 = 46

<u>Please </u><u>give </u><u>brainliest </u><u>if </u><u>I </u><u>helped!</u><u> </u><u>:</u><u>)</u>

5 0
3 years ago
Read 2 more answers
Zach bought his parents anniversary gifts. His dad's present cost $25. He bought his mom 3 presents (p) that all cost the same a
zaharov [31]
1) 40-25= 15
2) 15/3=5
3) each gift costs $5

Then to check:
1) 5x3=15
2) 25+15=40
Therefore p=5
8 0
3 years ago
martin mixes 1 cup lemonade with 4 cups cranberry juice to make his favorite drink how much cranberry juice does he need if he u
mars1129 [50]
He will need 20 cups of cranberry juice.
3 0
3 years ago
Read 2 more answers
9^2 times 9^-6 exponential form
Scrat [10]

The result of the expression in exponential form is 9^-4

<h3>Product of exponents</h3>

Given the expression below

9^2 \times 9^{-6}

According the product law, since the base are equal, we will add the exponent to have:

9^2 \times 9^{-6}=9^{-6+2}\\9^2 \times 9^{-6} = 9^{-4}

Hence the result of the expression in exponential form is 9^-4

Learn more on exponents here; brainly.com/question/11975096

#SPJ1

7 0
2 years ago
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