Answer:
8,9
Step-by-step explanation:
(x)^2+(x+1)^2=145
x²+x²+2x+1=145
2x²+2x+1-145=0
x²+x-72=0
x²+9x-8x-72=0
x(x+9)-8(x+9)=0
(x+9)(x-8)=0
x=-9(rejected being negative)
x=8
x+1=8+1=9
Answer:
x = +3 and -3
Step-by-step explanation:
Start by solving for |x| as normal:
4 - |x| = 1
- |x| = -3 (subtract 4 from both sides)
|x| = 3 (multiply both sides by -1)
the absolute value of x means it will be positive, so you need to recognize that whatever is in the absolute value bars will be made positive.
this means that x = 3 AND -3, because both |3| and |-3| = 3
check your answer by plugging x = 3 and x = -3 back in:
4 - |3| = 1
4 - 3 = 1
1 = 1
and
4 - |-3| = 1
4 - 3 = 1
1 = 1
Volume of the prism is given by:
V=(base area)*(height)
thus:
base area=1/2(a+b)*h
=1/2(1.4+0.6)*2
=2 m²
Thus the volume will be:
V=2*1
V=2 m³
Volume after 30 min:
V=2×(0.8)
V=1.6 m³
Rate of emptying the tank is:
(2-1.6)/30=1/ 75 m³/min
time taken to empty the tank:
time=volume/rate
time=2/(1/75)
=150 min
Part a:
x + y = 55
y = x + 25
part b:
jackie runs 15 minutes every day.
part c:
it is not possible for jackie to spend 45 minutes a day dancing, since the time she spends dancing and running is 55 minutes, and we know that it takes 15 minutes to run
step-by-step explanation:
let's call and while jackie is dancing
let's call x while jackie is running
then we know that jackie runs and dances for a total of 55 minutes every day
this means that:
x + y = 55
we also know that jackie dances 25 minutes more than she runs.
this meant that:
y = x + 25
now we substitute the second equation in the first and solve for the variable x
x + x + 25 = 552x = 55-252x = 30x = 15
jackie runs 15 minutes every day.
now we find the value of the variable -y
15 + y = 55y = 55-15y = 40
note that it is not possible for jackie to spend 45 minutes a day dancing, since the time she spends dancing and running is 55 minutes, and we know that it takes 15 minutes to run
The teacher ordered the students in 24 ways.
We have given that the total number of students is 4.
4 students are assigned to give presentations.
We have to find the arrangement of the 4 students.
<h3>What is the arrangement?</h3>
An arrangement (or ordering) of a set of objects is called a permutation. (We can also arrange just part of the set of objects.)
In a permutation, the order that we arrange the objects n is important.
4 students can be arranged by 4! ways.

Therefore option 3 is correct.
The teacher ordered the students in 24 ways.
To learn more about the permutation visit:
brainly.com/question/12468032
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