Answer:
The addition of given fractions is
Therefore
Step-by-step explanation:
Given fractional expression is
To find the addition of given fractions :
Adding the given fractions we get
( here taking 12 as LCM )
Therefore
The addition of given fractions is
Answer:
where are the equation I don't see them
Answer:
Answer:
\{ {{20x+30y=280} \atop {y=4x}} .{
y=4x
20x+30y=280
.
Where xx is the number of small boxes sent and yy is the number of large boxes sent.
Step-by-step explanation:
Let be xx the number of small boxes sent and yy the number of large boxes sent.
Since each small box can hold 20 books (20x20x ), each large box can hold 30 books (30y30y )and altogether can hold a total of 280 books, we can write the following equation to represent this:
20x+30y=28020x+30y=280
According to the information provided in the exercise, there were 4 times as many large boxes sent as small boxes. This can be represented with this equation:
y=4xy=4x
Therefore, the system of equation that be used to determine the number of small boxes sent and the number of large boxes sent, is:
\{ {{20x+30y=280} \atop {y=4x}} .{
y=4x
20x+30y=280
.
<span>Triangles exist:
</span>3 acute angles<span>
2 acute angles, 1 right angle
</span><span>2 acute angles, 1 obtuse angle
</span>
Triangles DON'T exist for:
<span>1 acute angle, 1 right angle, 1 obtuse angle
</span><span>1 acute angle, 2 obtuse angles</span>
Answer:
The ball travel horizontally 37 feet before it hits the ground
Step-by-step explanation:
we have
where
x ----> is the horizontal distance in feet
A ---> is the altitude of the ball, in feet.
we know that
When the ball hit the ground, the altitude of the ball is equal to zero
so
For A(x)=0
solve the quadratic equation
The formula to solve a quadratic equation of the form
is equal to
in this problem we have
so
substitute in the formula
therefore
The ball travel horizontally 37 feet before it hits the ground