This can be solved by multiplying 26.2 by 1/10 to get 2.62
You can also just move the decimal one to the left to get he same answer of 2.62
Lori has ran 2.62 miles
The given statement "A theorem is a statement that can be easily proved using a corollary" is false.
Answer: False
<u>Step-by-step explanation:</u>
A statement that would be proven on the basis of postulates and before proven theorem is called Theorems. "Corollary", a theorem that should come from a previous theorems (part of another statement). Contrary to the definitions, this may be reversible or irreversible if they are presented in the form "if - then."
Example for theorem: The measured angles of a triangle added to 180 degree.
The theoretical aspects of geometry consists of definitions, theorems, and postulates. Basically, these are elements of geometric proof.
B and C (I think they are the same)
To translate a function downwards by 9 units you simply subtract 9 from the function, because the resulting y value is reduced by 9 so the graph of y is reduced, shifted downwards by 9. So if:
y=|x| then this shifted downwards by 9 units is:
y=|x|-9
Step-by-step explanation:
Remainder when p(x) is divided by (x+2) is -29
Step-by-step explanation:
p(x) = x^{3} - 2x^{2} + 8x + kx3−2x2+8x+k
When p(x) is divided by (x-2), remainder is 19.
p(x - 2 = 0) gives the remainder when p(x) is divided by (x-2)
x - 2 = 0
x = 2
p(x-2=0) = p(2) = 2^{3} - 2(2^{2}) + 8(2) + k23−2(22)+8(2)+k = 19
8 - 8 + 16 + k = 19
k = 3
p(x) = x^{3} - 2x^{2} + 8x + 3x3−2x2+8x+3
p(x + 2 = 0) gives the remainder when p(x) is divided by (x+2)
x + 2 = 0
x = -2
p(x+2=0) = p(-2) = (-2)^{3} - 2((-2)^{2}) + 8(-2) + 3(−2)3−2((−2)2)+8(−2)+3
p(-2) = - 8 - 8 - 16 + 3 = -29
Remainder when p(x) is divided by (x+2) is -29