Answer:
The perpendicular line would be y = -1/4x + 23/4
Step-by-step explanation:
In order to find the equation of this line, we first have to note that perpendicular lines have opposite and reciprocal slopes. Therefore, since the original line has a slope of 4, we know the new line will have a slope of -1/4. Now we can use that information along with the given point in point-slope form to find the equation.
y - y1 = m(x - x1)
y - 7 = -1/4(x + 5)
y - 7 = -1/4x - 5/4
y = -1/4x + 23/4
Start by writing out the information you know mathematically (I used S for cost of senior ticket, and C for cost of child ticket. You could use X and Y, or any other combination of letters as variables)
3s + 1c=38
3s + 2c=52
Now, you'll want to eliminate one of the variables by subtracting it out. Remember - Same sign, subtract (and therefore different sign, add).
In this case, 3s exists in the first and second equation, so it's very easy to get rid of. They're both positive, so they have the same sign (+). Same sign, subtract.
3s + 1c=38
-(3s + 2c=52)
__________
0 -1c= -14
-c=-14
C=14
Now, plug c=14 into either of the original equations.
3s + C= 38
3s + 14=38
3s=24
S=8.
So, a child ticket costs $14 and a senior ticket costs $8.
Answer:
x° = 60
Step-by-step explanation:
Vertically opposite angles are congruent, thus
x° = 60
Answer:
First option
Step-by-step explanation:
If each input value leads to only one output value, classify the relationship as a function.
We have 38,040,000 + 2.606 × 10^7 which equals
38,040,000 + 26,060,000 = 64,100,000 = 6.410 x 10^7
Answer C is the correct choice.
