Answer:
x = 6, y = 3
Step-by-step explanation:
Let Sally's age be x and Tomas's age be y.
Sum of Sally's age plus twice Tomas's age: x + 2y = 12
Difference of Sally's age and Tomas's age: x - y = 3
Multiply the second equation by two and add it to the first equation to get
3x = 18, which means x = 6.
Plug 6 in for x in the second equation to get 6 - y = 3, which means y = 3.
Answer:
Step-by-step explanation:
9) PQR Is an isosceles triangle
=> ∠PRQ = (180° - x)/2
PRS is an isosceles right triangle
=> ∠PRS = 45°
Have: ∠PRS + ∠PRQ = 115°
=> 
=> 180 - x = (115 - 45).2 = 140
<=> x = 180 - 140 = 40
10) ABD is an isosceles right triangle => ∠ABD = 45°
BCD is an equilateral triangle => ∠CBD = 60°
have: x = ∠ABD + ∠CBD = 45° + 60° = 105°
11) have: x = y (2)
PQT is an isosceles triangle => ∠PQT = 180 - 70.2 = 40
QTS is an isosceles triangle => ∠TQS = 180 -2x
QRS is an isosceles triangle => ∠RSQ = y
have: 40 + 180 - 2x + y = 180 => 2x - y = 40 (1)
(1)(2) => 
=> x + y = 80
12) EFJ Is an equilateral triangle => ∠FJE = 60
∠FJE is the outer angle of the triangle FHJ but FHJ is an isosceles triangle
=> 60 = 2.∠JHF => ∠JHF = 30°
∠JHF is the outer angle of the triangle FHG
=> 30° = 2x
<=> x = 15°
Answer:
-x³ + 5y + 3
Step-by-step explanation:
It helps to rewrite the given polynomial according to its degree (exponent), in <u>descending</u> order. Also, for variables without a coefficient, it helps to include "1" with it to make it less confusing when combining like terms.
- x³ + 3y + ( 1 )y + ( 1 )y + 5 + 2 - 4
One way to simplify a polynomial is to combine the like terms if there are any. Two or more terms in a polynomial are like terms if they have the same variable(s) with the same exponent.
- x³ is the only term with an exponent of 3, so we wouldn't have to combine it with other terms. We need to combine the terms with the variable "y," as they have the same degree of 1.
- x³ + 5y + 5 + 2 - 4
Lastly, combine the constants (5 + 2 - 4):
- x³ + 5y + 3
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Answer:
a) 4.392317 mt
b) 9 seconds
c) 
Step-by-step explanation:
We have

where t is given in seconds and t in meters.
<em>a)How far has the point traveled 21 seconds after it started moving?</em>
By replacing t=21 in our equation we get

<em>b)If the point has traveled 3.16993 meters, how many seconds have elapsed since it started moving?</em>
We need to find a t such that f(t) =3.16993.
This can be accomplished by using the definition of 

<em>c)Write a function
that determines the number of seconds that have elapsed since the particle started moving in terms of the distance (in meters) the particle has traveled.</em>
is given by the definition of log
