Answer:
x = 1 ± 
Step-by-step explanation:
Given
2x² - 4x = 10 ( divide through by 2 )
x² - 2x = 5
Using the method of completing the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 1)x + 1 = 5 + 1
(x - 1)² = 6 ( take the square root of both sides )
x - 1 = ±
( add 1 to both sides )
x = 1 ±
← exact solutions
Answer: 18.
if aliyah gave 2 to her 4 children, thats 4x2 which equals 8, plus the 10 she took to get 18.
Answer:
They are both 45 degrees
Step-by-step explanation:
The square in the middle means a right angle (90) and 5 and 6 are equal too so they both equal 45
Answer:
25 students.
Step-by-step explanation:
A line plot is a simple graph that shows relationship among the values in a data using a number line.
From the line plot, each dot represents a student. While the number on the line shows the number of blocks walk each day by each student.
It can be deduced from the line plot that;
Only 1 student walks through 7 blocks, 2 walk through 5 blocks, 8 walk 4 blocks, 5 walk 3 blocks, 5 walk 2 blocks and 4 walk through 1 block to school each day.
So that;
1 + 2 + 8 + 5 + 5 + 4 = 25
Therefore, the number of students who took part in the survey is 25.
The population of a town has approximately doubled every 17 years since 1950.
the equation P=
where Po is the population of the town in 1950, is used to model the population, P, of the town t years after 1950.
When t=17 yrs
P=2
for 1 year
The equation becomes
P =
-------------(1)
Our original equation is
----------------------------------(2)
equating expression 1 and 2

Cancelling
from both sides we get

t/17=k
⇒k=t/17 is the solution.