Lol i was working on this earlier. First get rid of the parenthesis by distributing the powers to the other powers.
27/4x(6)y(8)
the () are for powers
1) 2 : 1/2 = 4 (miles/hour)
2) 3 : 4 = 3/4 (hour)
Answer: you will walk 3 miles in 3/4 hour.
The value of the third angle that can be found in the information given about the congruent triangles will be 45°.
<h3>How to solve the triangle?</h3>
From the complete information, the angles that are given in the triangle are 76° and 59°.
It should be noted that the value of the total angles that are in a triangle is 180°. Therefore, the value of the last angle will be:
= 180° - (76° + 59°)
= 180° - 135°
= 45°
Learn more about triangles on:
brainly.com/question/17335144
Answer: The range is y ≥ 3.
Step-by-step explanation:
When we have an equation:
y = f(x)
The range is the set of the possible values of y.
In this case, we have:
y = f(x) = 2*x^2 - 20*x + 53
This is a quadratic equation, and the leading coefficient is positive. This means that the arms of the graph will open upwards.
Then the minimum value of y will be the vale at the vertex.
We know that for a quadratic equation of the form:
a*x^2 + b*x + c
The vertex is at:
x = -b/2a
Then in this case, the vertex will be at:
x = -(-20)/(2*2) = 20/4 = 5
Then the smallest value of this function will be:
f(5) = 2*5^2 - 20*5 + 53 = 3
This is the smallest value that y can take, and y can take any value greater than 3.
Then the range can be written as:
y ≥ 3.
