Answer:
70
Step-by-step explanation:
From the question given above, the following data were obtained:
TU = 8x + 11
UV = 12x – 1
Next, we shall determine the value of x.
From the question:
U is the midpoint. This means that TU and UV are equal i.e
TU = UV
With the above idea in mind, we shall determine the value of x as follow:
TU = UV
TU = 8x + 11
UV = 12x – 1
8x + 11 = 12x – 1
Collect like terms
11 + 1 = 12x – 8x
12 = 4x
Divide both side by the coefficient of x i.e 4
x = 12/4
x = 3
Next, we shall determine the length of TU and UV. This can be obtained as follow:
TU = 8x + 11
x = 3
TU = 8(3) + 11
TU = 24 + 11
TU = 35
UV = 12x – 1
x = 3
UV = 12(3) – 1
UV = 36 – 1
UV = 35
Finally we shall determine the length of TV. This can be obtained as follow:
TV = TU + UV
TU = 35
UV = 35
TV = 35 + 35
TV = 70
Therefore, the distance between my house and grandma's house is 70.
NOTE: Assume the distance is measured in kilometer (km)
This means that I will travel 70 km from grandma's house to my house.
The formula to find the sum of the first n terms of our sequence is n divided by 2 times the sum of twice the beginning term, a, and the product of d, the common difference, and n minus 1. The n stands for the number of terms we are adding together.
Answer: Yes it can form a triangle and its a right triangle.
Step-by-step explanation:
Using the Pythagorean theorem we can see that the longest side (20) is our hypotenuse. From there you just check if its true. :)
Answer:
The answer is 2nd point
Step-by-step explanation:
In this question, inverse of f(x) is equals to g(x). First, you must know how to find the inverse of f(x). In order to find the g(x), you must let f(x) = y and make x thd subject :
1.
Let y = (10x+9)/8
y = (10x+9)/8
8y = 10x + 9
8y - 9 = 10x
(8y-9)/10 = x
x = (8y-9)/10
g(x) = (8x-9)/10 (Remember to convert y back to x)
2.
Let y = x - 9
y = x - 9
y + 9 = x
x = y + 9
g(x) = x + 3
Next, by looking in no.1, the inverse of f(x) is wrong and in no.2, it shows the correct form of inverse. So only 2 is an inverse function
Answer:
a): A line has a total degree of 180. So just subtract it. 180-92 is
y=88
b): Similar to the previous, a right angle has a total angle of 90. 90-45=45.
y=45.
These are all the ones I can figure out. I hope someone else can get c) and d).
