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Natalka [10]
3 years ago
12

Can a theorem contain definitions? Please help!

Mathematics
1 answer:
jekas [21]3 years ago
7 0

yes because a theorem is an idea which occurs to be true in all cases. it is not a theory. definitions help with the understanding of theorems

hope this helps.

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What is the value of expression below when c = 5 and d=4 6c²-5d + 8
Alisiya [41]

Answer:138

Step-by-step explanation:

First plug in the c and d values into the expression:

6(5)^2-5(4)+8

Remember PEMDAS, so you do 5^2 first getting you 25.

6(25)-5(4)+8

Continue with PEMDAS and multiply -5 and 4, and that gets you -20.

150-20+8

Now you simplify the expression to get: 138.

5 0
3 years ago
Read 2 more answers
Find the coordinates of the orthocenter for XYZ with X(-5,-1) Y(-2,4), Z(3,-1)
V125BC [204]

9514 1404 393

Answer:

  (-2, 2)

Step-by-step explanation:

The orthocenter is the intersection of the altitudes. The altitude lines are not difficult to find here. Each is a line through the vertex that is perpendicular to the opposite side.

Side XZ is horizontal, so the altitude to that side is the vertical line through Y. The x-coordinate of Y is -2, so that altitude has equation ...

  x = -2

__

Side YZ has a rise/run of -1/1 = -1, so the altitude to that side will be the line through X with a slope of -1/(-1) = 1. In point-slope form, the equation is ...

  y -(-1) +(1)(x -(-5))

  y = x +4 . . . . . . . . subtract 1 and simplify

The orthocenter is the point that satisfies both these equations. Using the first equation to substitute for x in the second, we have ...

  y = (-2) +4 = 2

The orthocenter is (x, y) = (-2, 2).

4 0
3 years ago
What is the value of y for the parallelogram shown?
dybincka [34]
Opposite angles in a parallelogram have to be equal so

3y=66
y=22
3 0
3 years ago
Read 2 more answers
Image 1<br>image 2<br>image 3<br>none ​
Talja [164]
I’d assume image 1 since it’s a combination of multiple substances or a mixture.
7 0
3 years ago
Cubes having side lengths of 3/4in. are used to fill the right rectangular prism shown.
atroni [7]

Answer:

36 cubes

Step-by-step explanation:

the pic is up there

6 0
3 years ago
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