Answer:
Elimination isn't exactly the easiest for this situation. But since the equations are in the same form and not solved for the same variable, I would go with elimination. (If they were solved for the same variable, I would go with substitution.) It would require me to make a manipulation on both equations.
I would multiply first equation by 5 and second equation by -2. The reason I would do this is because the y's would have opposite coefficients and when you add opposites you get 0.
The new set of equations would look like this:
20x+10y=45
-14x-10y=2
But I will slope here since we aren't asked to solve it.
Some texts use the term linear combination instead of elimination. They are the same.
If f(8)=4 that means that if you plug 8 on as x in whatever the equation of f is you will get 4 as answer therefore (8,4) is a point on the graph
Answer:
1/4
Step-by-step explanation:
The slope of a line is the steepness of a line.
The slope of a perpendicular line is always the negative reciprocal of the slope of the line it is perpendicular with.
Since line C has a slope of -4, the negative reciprocal of that is 1/4.
Reciprocals are two numbers that multiply together to get 1.
For example, -1/4*-4/1=1
Therefore the negative recipricol is 1/4
Answer:
The measure of <u>Angle G is 41</u>
Step-by-step explanation:
We know that in a parallelogram, opposite angles are congruent, therefore let's solve for x-value first;
3x + 11 = 5x - 9
11 = 5x - 3x - 9
11 = 2x - 9
11 + 9 = 2x
20 = 2x
20/2 = x
10 = x
Now that we have x-value, we can substitute it in the equation for Angle G to find it's angle measure;
5(10) - 9 = ∠G
50 - 9 = ∠G
41 = ∠G
So the final answer = <u>The measure of Angle G is 41</u>
Hope this helps!
Answer:
B. a + s = 15
6a + 4s = 76
Step-by-step explanation:
The two equations you want to write are for the two resources, tickets and dollars. We want to know the numbers of adult and senior tickets, so we assign the variables "a" and "s" to those numbers, respectively. We need to keep the meaning of these variables in mind as we write the equations.
a + s = 15 . . . . the sum of the numbers of tickets is 15 (resource = tickets)
The amount spent for tickets of a given type will be the number of tickets of that type, multiplied by the cost of tickets of that type. Then 6a represents the amount spent on adult tickets ($6 each for "a" number of tickets).
6a +4s = 76 . . . the total amount Beth spent on tickets (resource = dollars)
In summary, the two equations are ...
- a + s = 15
- 6a +4s = 76 . . . . . . matches choice B
_____
Beth bought 8 adult tickets and 7 senior tickets.
