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andreyandreev [35.5K]
3 years ago
8

A triangle has one side that measures 12 inches and another side that measures 33 inches. Which are possible side lengths of the

third side?
Mathematics
1 answer:
In-s [12.5K]3 years ago
5 0

Answer:

Greater than 21

Less than 45

Step-by-step explanation:

You add and subtract the two numbers you are given.

33 - 12 = 21

The third side has to be bigger than 21.

33 + 12 = 45

The third side has to be less than 45.

It can be written in one math sentence:

21 < x < 45

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Answer:

Step-by-step explanation:

f(x) = x^3 - 3x^2 - 28x + 60

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Factor the inside of the parenthesis

Multiples of 28: (1X28),(2X14),(4X7). 7-4=3, 7 & 4 is the correct multiple.

x(x-7)(x+3)+60

Roots: 0,7,-3,6

Also you can plug your function into Desmos and see where it crosses the x-axis.

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What is the domain and range of the cubed root of x+3?
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3 years ago
2(x+y) = 61-2y<br> 4x-4 = 18-3y
Naddik [55]

Answer:

x = 8

y = -7

Step-by-step explanation:

This is a system of equations called simultaneous equations. We shall solve it by elimination method Step 1We shall label the equations (1) and (2)−3y−4x=−11.....(1)3y−5x=−61......(2)Step 2Multiply each term in equation (1) by 1 to give equation (3)1(-3y-4x=-11).....(1)-3y-4x=-11....(3)Step 3Multiply each term in equation 2 by -1 to give equation (4)-1(3y−5x=−61)......(2)-3y+5x=61.....(4)Step 4-3y-4x=-11....(3)-3y+5x=61.....(4)Subtract each term in equation (3) from each term in equation (4)-3y-(-3y)+5x-(-4x)=61-(-11)-3y+3y+5x+4x=61+110+9x=729x=72Step 5Divide both sides of the equation by 9, the coefficient of the unknown variable x to find the value of x 9x/9 = 72/9x = 8Step 6Put in x = 8 into equation (2)3y−5x=−61......(2)3y-5(8)=-613y-40=-61Collect like terms by adding 40 to both sides of the equation 3y-40+40=-61+403y=-21Divide both sides by 3, the coefficient of y to find the value of y 3y/3=-21/3y=-7Therefore, the values of x and y that satisfy the equations are 8 and -7 respectively

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3 years ago
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