The ordered pair that is the solution to these equations is (-2,-1)
work:
2(-2)+5(-1)=-9
3(-2)-4(-1)=-2
Given:
The height of ball is represented by the below function:

To find:
The number of seconds it will take to reach the ground.
Solution:
We have,

At ground level, the height of ball is 0, i.e.,
.

Taking out greatest common factor.


Splitting the middle term, we get



Using zero product property, we get
and 
and 
Time cannot be negative, so
.
Therefore, the ball will reach the ground after 2 seconds.
Answer: OPTION D.
Step-by-step explanation:
The formula that is used to calculate the slope of a line is:

Where
and
are two points on the line.
In this case the student finds the slope of the line that passes trough these points:

You can notice that she writes in the numerator that:

So she chose the point
as
and the point
as
.
Then
and
in the denominator must be:

Therefore, she did not keep the order of the points the same in the numerator and the denominator.
Answer:
- steak: 1/2
- baked eggs: 2
- acorn squash: 1
Step-by-step explanation:
Let s, b, a represent the numbers of servings of steak, baked eggs, and acorn squash, respectively. Then the equations we want to solve are ...
40s +20b +4a = 64 . . . . grams of protein
10s +2b +20a = 29 . . . . grams of carbohydrate
1s +20b +32a = 72.5 . . . milligrams of vitamin A
There are any number of calculators or web sites that will solve this system of equations for you. The solution is ...
s = 0.5
b = 2
a = 1
The dietitian should provide 1/2 serving of steak, 2 servings of baked eggs, and 1 serving of acorn squash.
The midpoint of the segment is the answer