Answer:
see below and attached
Step-by-step explanation:
To solve a system of quadratic equations:
- Equal the equations then rearrange so that it is set to zero.
- Use the quadratic formula to solve.
I have done this (see attached workings) but cannot get any of the solutions you've provided. I have even graphed the two functions, and the points of intersection concur with my workings (see attached graph).
Answer:
x = 13
Step-by-step explanation:
Given that Δ NML and Δ PST are similar right triangles, we can set up the following proportional statement to establish their relationship:


Cross multiply:
8(x + 2) = 10 (x - 1)
8x + 16 = 10x - 10
Subtract 8x from both sides:
8x - 8x + 16 = 10x - 8x - 10
16 = 2x - 10
Add 10 to both sides:
16 + 10 = 2x - 10 + 10
26 = 2x
Divide both sides by 2:

13 = x
Verify whether x = 13 is the correct value:




This shows the proportional relationship between
, and that ΔNML and ΔPST are indeed similar right triangles.
Therefore, the correct answer is x = 13.
Answer:
a median
b center
Step-by-step explanation:
The middle value of a set of numbers is the median
The mean is the average value and the range is the largest minus the smallest.
This value is a measure of the center ( or a measure of the middle)
The range is a measure of the spread
Answer:
Height = 5.6cm
Step-by-step explanation:
Area = 1/2bh
b = 10cm, area = 28cm^2
:- 28 = 1/2 × (10)h
28 = 5h
h = 28/5
h = 5.6cm
Answer:
7 feet
Step-by-step explanation:
Pythagorean theorem
sqrt(4.5^2 + 5.3^2) = hypotenuse
sqrt(48.34) = hypotenuse
6.95269732 = hypotenuse
round to nearest tenth
7 feet = the length of the hypotenuse