Answer:
107
Step-by-step explanation:
5x + 3 + 7x + 9 = 180
12x + 12 = 180
12x = 168
x = 14
7(14) + 9 = 107
Answer:
- The maximum height is 136 ft
- The time it takes to achieve this height is 1.5 s.
Explanation:
<u>1. Function for the height (given):</u>
<u />
<u>2. Type of function</u>
That is a quadatic function, whose graph is a parabola that opens downward.
The maximum of the function, i.e. the maximum height, is the vertex of the parabola.
The vertex of a parabola with the genral equation 
is at the x-coordinate
<u>3. Time to achieve the maximum height</u>
Substitute b with 48 and a with - 16:
Then, time when the object achieves the maximum height it 1.5s
<u />
<u>4. Maximum height:</u>
Replace t with 1.5 in the equation, to find the maximum height, h(1.5)
Then, the maximum height is 136 ft
Helen subtracted 17 from the right side of the equation when she should have added 17. Adding 17 to both sides would have gotten x/y by itself.
The answer is 'Helen should have added 17 to both sides of the equation'.
A. x + 5
According to the table, the function is shifted up 5 units.
X = 12
because if you notice, each of the angles have a little arc in the corner, which means they are congruent. if all three angles are congruent, that means each angle is 60° because each triangle has a maximum value of 180°. therefore, this means it is an equilateral triangle.
that being said, each side must be equal as well. so, you can use any two sides to find x by using each one on a different side of an equation, then isolating and solving.
5x - 22 = 3x + 2 = 4x - 10
so
5x - 22 = 3x + 2
3x + 2 = 4x - 10
4x - 10 = 5x - 22
whichever one you solve for, x = 12. and if you plug in that number for x, each side equals the same number = 38
