Answer:
multiply by 5
Step-by-step explanation:
in order to get t by itself, you must do the incerverse operation of division, which is multiplication
5(t/5)=5(2.9)
the 5 crosses out and you get
t=14.5
Answer:
centre = (- 1, - 3 ) , radius = 6
Step-by-step explanation:
the equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k ) are the coordinates of the centre and r is the radius
given
x² + y² + 2x + 6y = 26 ( collect x and y terms )
x² + 2x + y² + 6y = 26
using the method of completing the square
add ( half the coefficient of the x/ y terms )² to both sides
x² + 2(1)x + 1 + y² + 2(3)y + 9 = 26 + 1 + 9
(x + 1)² + (y + 3)² = 36 ← in standard form
with centre = (- 1, - 3 ) and r =
= 6
<span>Answer: A) exponential, because there is a relatively consistent multiplicative rate of change
</span><span>
temperature thrice. If you compare time=0 until time=30, you will get this table
t(10)- t(0)= 180-200= -20
t(20)-t(10)= 163-180= -17
t(30)-t(20)= 146-163= -17
</span>t(40)-t(30)= 131- 146= -15
t(50)-t(40)= 118-131= -13
t(50)-t(40)= 107-118= -11
There is something weird about the 2nd and 3rd value because it was same -17., but there seems to be a +2 change to the difference. So, the graph would be exponential with a <span>relatively consistent multiplicative rate of change</span>
Step-by-step explanation:
let jon age be x
dad age is 2 of x i.e 2x
grandpa age is 7 + 3(x)
The sum of jon dad and grandpa age is 145 i.e
x + 2x + (7+3x) = 145
3x +. 7 + 3x = 145
6x = 145- 7
6x = 138
divide both sides by 6
x = 23
jon age is 23
while
grandpa age is
7 + 3(x)
7 + 3(23)
7 + 69
76.
<span>A postulate becomes a theorem when it is proven by a series of logical steps to a valid outcome. Typically, a postulate is a statement that is presumed to be true without proof, whereas a theorem is a true statement that can be proven</span>