If a person is not healthy, then he or she will find it very difficult to enjoy life. Balanced food, fresh air, exercise, good posture, plenty of rest, pure water, cleanliness, regular check-ups at the doctor and dentist " all helps keep our body machines running as they should.
A fit person is also more resistant to illnesses. The simplest way of keeping fit is by exercising regularly. But the exercises must be vigorous. Secondly we have to watch what we are eating. There should be enough fibre, protein, fruit, vegetables and vitamins. And of course our bodies need water. Water allows our blood to flow through the blood vessels thus supplying the body with vital nutrients. We must drink about six glasses a day.
We have to get enough sleep. All of us know how cranky we can get if we do not have enough sleep. And what's more " avoid stress, worry and tension, think positive! A bath or a shower every day is a good habit. It makes us clean but it also helps us to fall asleep better. Brushing our teeth is part of keeping clean.
2. Y= 1/3x _3
3. Y=_2x + 1
4. _2x +5y=10
5. 4x _2y _5=0
6. Y= _4x _3
7. 3x_ 5y=20
Answer: y = 3x - 5
Step-by-step explanation:
The equation of a straight line can be represented in the slope intercept form as
y = mx + c
Where
c = intercept
m = slope = (change in the value of y in the y axis) / (change in the value of x in the x axis)
The equation of the given line is
y = -1/3x + 2
Comparing with the slope intercept form, slope = - 1/3
If two lines are perpendicular, it means that the slope of one line is the negative reciprocal of the slope of the other line. Therefore, the slope of the line passing through
(2, 1) is 3/1 = 3
To determine the intercept, we would substitute m = 3, x = 2 and y = 1 into y = mx + c. It becomes
1 = 3 × 2 + c = 6 + c
c = 1 - 6 = - 5
The equation becomes
y = 3x - 5
To solve the quadratic equation 4x^2 + 20x = -29 using the quadratic formula, we can first rearrange the equation to bring all terms to one side:
4x^2 + 20x + 29 = 0
Now we can identify the coefficients a = 4, b = 20, and c = 29 in the general quadratic equation ax^2 + bx + c = 0. Applying the quadratic formula:
x = (-b ± √(b^2 - 4ac)) / (2a)
Substituting the values for a, b, and c into the quadratic formula:
x = (-(20) ± √((20)^2 - 4(4)(29))) / (2(4))
Simplifying further:
x = (-20 ± √(400 - 464)) / 8
x = (-20 ± √(-64)) / 8
x = (-20 ± 8i) / 8
Now, we can simplify the expression:
x = -20/8 ± (8i)/8
x = -5/2 ± i
Therefore, the roots of the given quadratic equation are:
x = -5/2 + i
x = -5/2 - i
Answer:
$14 will be her change
Step-by-step explanation:
1. subtract the $36 from the 50 dollar bill
$50-$36= 14
Answer:
14 dollars
Step-by-step explanation:
you do 50-36
21 phones
210 phones
26 phones
Answer:
21
Step-by-step explanation:
Answer:
y = 5x + 10
Step-by-step explanation:
using the formula y = mx + b you can easily find the answer.
where
m = the rate of change
b = constant
x = the independent variable
Since he has the initial $10.00 added to the account, we know that is the constant since he won’t be adding that anymore.
Since he will be adding $5.00 to the account every month we know that this is the rate of change.
the variable x will change depending on the number of months passed.
Therefore we can create the equation:
y = 5x + 10