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Savatey [412]
3 years ago
6

Help. Me. Will give brainliest. 60 POINTS

Mathematics
2 answers:
tekilochka [14]3 years ago
8 0

Answer it is 2 hope that helps

WITCHER [35]3 years ago
6 0

Answer:

Step-by-step explanation:

it would be -2 ;)

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A cabinet is the shape of a triangular prism. The triangular base has a base length of 14 inches and a base height of 22 inches.
Gekata [30.6K]

Answer:

gat

Step-by-step explanation:

3 0
2 years ago
What are three consecutive integers whose product is 480 more than their sum?
Natali [406]

Answer:

The three numbers are 7 8 and 9

Step-by-step explanation:

Givens

  • Let the first number be n - 1
  • Let the second number be n
  • Let the third number = n + 1

Equation

(n - 1)(n)(n + 1) - (n-1 + n + n+1) = 480

Solution

Multiply (n - 1) and (n + 1) = (n - 1)*(n + 1) = n^2 - 1

Multiply the second integer by the result of the first and third: n (n^2 - 1)

Add the three integers together: (x - 1) + (n - 1) + n = 3n  Combine these 2 steps

n(n^2 - 1) - 3n = 480 Remove the brackets

n^3 - n - 3n = 480

n^3 - 4n = 480

n^3 - 4n - 480 = 0

Graph

The graph shows that the intercept point is n =8. This is the only way I can see to solve this cubic. There are no other real roots.

Answer

n - 1 = 7

n = 8

n + 1 = 9

Check

Product 7*8*9 = 504

Sum = 7 + 8 + 9 = 24

504 - 24 = 480 Which checks.

4 0
3 years ago
•Use the Pythagorean Theorem c^6 = a2+ b2 •Show you work to find each missing side •
zhannawk [14.2K]

Answer:

hypotenuse = 10

Step-by-step explanation:

If you can tell at first glance it is a 3,4,5 triangle (6,8,10)/2=(3,4,5). Then you know that c has to equal 5.

If not,

a^2+b^2=c^2

6^2+8^2=c^2

36+64=c^2

100=c^2

10=c

6 0
3 years ago
The hypotenuse of a right triangle is three times the length of one of its legs. The length of the other leg is four feet. Find
andre [41]

Hello!

It is given information that this triangle is a right triangle, meaning that the Pythagorean Theorem can apply here.

a^2+b^2=c^2

We can set the length of a leg as an unknown variable x.

x^2+4^2=(3x)^2

Remember that it is the whole 3x term being squared, meaning that it'll simplify to 9x^2, not 3x^2.

x^2+16=9x^2

8x^2=16

x^2=2

x=\sqrt{2}

This means we can plug back in to find the sides.

The hypotenuse would be 3\sqrt{2}, or 4.2.

And the legs would be 1.4 and 4, respectively.

Hope this helps!

7 0
2 years ago
Write an equation in slope-intercept form (y = mx + b).
Wewaii [24]

Answer:

y = 2/7x + 7

Step-by-step explanation:

We start off by putting the original equation into slope-intercept form. Subtract 7x from both sides, then divide both sides by -2. Your new equation should be y = -7/2x - 8. It's important to know that when two lines are perpendicular, their slopes (m) are opposite reciprocals of each other.  So -7/2 becomes 2/7. The first part of your final equation is y = 2/7x + b.

Next, we need to find the y intercept (b). You need to plug the x and y values from the given coordinate point (-7,5) into your final equation. You should end up with: 5 = 2/7(-7) + b. Then, solve for b.

5 = -14/7 + b

5 = -2 + b

7 = b

Finally, plug the b value into your final equation and you will have your answer.

4 0
3 years ago
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