Answer:
y= -9+√122, or -9 - √122
Step-by-step explanation:
You have to solve the equation for y to find each variable of the quadratic and applying the quadratic formula.
after solved, I got the answer as decimal,
y = 2.0453610.....
i simpler form : y = 2.05
Also, an answer can be y= -9+√122, or -9 - √122
The area of the shaded triangle formed as the result of the overlap is = 62.35 inches ²
<h3>Calculation of the equilateral triangle</h3>
After folding the rectangle with length of 12 inches and width of 18 inches, an equilateral triangle was formed.
An equilateral triangle is a type of triangle where by all the three sides are equal.
To determine the value of one of the sides, CB or CD is used because the folding didn't affect these sides.
Using the formula for the area of an equilateral triangle,
A = √¾ a²
a= 12 inches
A = √¾ ×12²
A = 62.35 inches ²
Learn more about triangle here:
brainly.com/question/1058720
#SPJ1
Answer:
Congruent by SAS
Step-by-step explanation:
The three given sides of one triangle is shown to be equal to the corresponding sides of the other triangle.
This means that all threes sides of one are congruent to all corresponding sides of the other triangle.
By the Side-Side-Side Congruence Theorem, we can conclude that both triangles are congruent.
Answer:
(3,2)
Step-by-step explanation:
The coordinates of the point P on the given graph is (-1,5).
So, when we translate point P on the graph by 4 units to the right its x-coordinate will change to (- 1 + 4) = 3.
Again, when we translate point P on the graph by 3 units down then its y-coordinate will change to (5 - 3) = 2.
Therefore, the new coordinates of the point P will be (3,2) (Answer)
We can easily get the quarts per hour rate by dividing the number of quarts by the number of hours:

Now that we have the quarts per hour rate, we can easily address the question: the factory could make

quarts in 48 hours, with a daily rate of

quarts per day