Answer:
18
Step-by-step explanation:
since U is the midpoint of QT, QT = 2(QU)
similarly, QS = 2 (QR)
because QR is parallel to QS and QU is parallel to QT, triangle QUR is similar to triangle QTS. therefore, the scaling factor between QT/QU and QS/QR is equal to the scaling factor between RU and ST.
therefore,
ST = 2(RU)
36 = 2(RU)
18 =RU
Answer: 29
Step-by-step explanation:
Let the smaller number be x
Let the bigger number be x+2
The information given in the question can be represented in a equation as:
x + 2 + 2x = 4x - 27
3x + 2 = 4x - 27
4x - 3x = 27 + 2
x = 29
The smaller number is 29
$504 + $580= $1084 is how much the bus company got in all.
Step-by-step explanation:
Use the function to find the coordinates of the endpoints. Find the slope between those points, then use point-slope form to write the equation. If you wish, you can simplify to slope-intercept form.
For example, #66:
f(2) = -4(2) + 1 = -7
f(5) = -4(5) + 1 = -19
So the endpoints of the secant line are (2, -7) and (5, -19). The slope between those lines is:
m = (-19 − (-7)) / (5 − 2)
m = -12 / 3
m = -4
The equation of the line in point-slope form is:
y − (-7) = -4 (x − 2)
y + 7 = -4 (x − 2)
Simplifying:
y + 7 = -4x + 8
y = -4x + 1
f(x) is a line, so unsurprisingly, the secant line connecting two points on that line has the same equation.
Let's try #68:
g(2) = (-1)² + 1 = 2
g(5) = (2)² + 1 = 5
So the endpoints of the secant line are (-1, 2) and (2, 5). The slope between those lines is:
m = (5 − 2) / (2 − (-1))
m = 3 / 3
m = 1
The equation of the line in point-slope form is:
y − 2 = 1 (x − (-1))
y − 2 = x + 1
Simplifying:
y = x + 3
Answer: 1. 6+3=9
2. 9-7 = 2
3. 7(3) = 21
4. 8+0 = 8
5. 4(4)+5 = 16+5 = 21
6. 7(5)-4= 35-4= 31
7. 19-3(2)= 19-6 = 13
8. 11+ 3(4)= 11+ 12 = 23
Step-by-step explanation:
Just plug in whatever variable of the variable it says for that variable and solve!
