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Tom [10]
3 years ago
11

1. A triangle has side lengths of 1, 2, and 3. Can these lengths form a triangle? Use the Triangle Inequality Theorem to prove w

hether these lengths form a triangle. Show all work. DUE IN 1 HOUR
Mathematics
1 answer:
Fed [463]3 years ago
6 0

Step-by-step explanation:

step 1. the 3rd side of a triangle must be less than the addition of the other two sides

step 2. 3 is not less than the addition of 1 and 2

step 3. no. this cannot be a triangle.

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Given the function f(x) = x3 + 2x2 − 3x − 5, what is the resulting function when f(x) is shifted to the right 1 unit? f(x + 1) =
xz_007 [3.2K]
When a function is shifted to the right by 1 unit it is moved towards the negative side so we would be adding -1 to the value of x. The function f(x) would be f(x-1). To determine the resulting function, we substitute to the parent function (x-1) to x. We do as follows:

<span>f (x) = x^3 + 2x^2 − 3x − 5
</span>f (x-1) = (x-1)^3 + 2(x-1)^2 − 3(x-1) − 5
f (x-1) = x^3 - 3x^2 + 3x - 1 + 2(x^2 - 2x + 1) - 3x + 3 - 5
f (x-1) = x^3 - 3x^2 + 2x^2 + 3x - 4x - 3x - 1 + 2 + 3 - 5
f (x-1) = <span>x^3 - x^2 - 4x - 1 

Therefore, the correct answer is the last option.</span>
5 0
3 years ago
The equation t= 13p + 108 can be used to estimate the cooking time t in
Setler [38]

Answer:

Step-by-step explanation:

(285)=13p+108

177=13p

p= 13.62 lbs

4 0
3 years ago
Solve this equation. (1/2)^x-3= 16^3x-1
Vesna [10]
This question is unsolvable this might be a trick question but it is not solvable. Hope this helps! ;D
4 0
3 years ago
Find the amount of tax owed: vacant land valued at $500,000.00; assessed at 18%; taxed at $6.50 per hundred dollars worth of pro
bagirrra123 [75]

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7

Step-by-step explanation:

3 0
3 years ago
The angles of a pentagon are x, x − 5 0 , x + 100 , 2x + 150and 2x + 300 . Find all the angles.
miv72 [106K]

Answer:

The interior angles are 70°,65°,80°,155° and 170°

Step-by-step explanation:

step 1

Find the sum of the interior angles of the pentagon

The sum is equal to

S=(n-2)*180°

where

n is the number of sides of polygon

n=5 (pentagon)

substitute

S=(5-2)*180°=540°

step 2

Find the value of x

Sum the given angles and equate to 540

x+(x-5)+(x+10)+(2x+15)+(2x+30)=540°

7x+50=540°

7x=490°

x=70°

step 3

Find all the angles

x=70°

(x-5)=(70-5)=65°

(x+10)=(70+10)=80°

(2x+15)=(2*70+15)=155°

(2x+30)=(2*70+30)=170°

8 0
3 years ago
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