<span>You are given a rectangular picture measuring 8 inches by 7 inches. Also, Alistair wants this to be framed and that the total area is 34 square inches. The width of the frame is x inches. To solve the dimension of the frame with value of x we have:
We have to assume that x here will be equal to all sides of the frame and so, using the area of the rectangle, we can model the equation like this:
A = LW (where A is the area, L is the length and W is the width)
36 = (8 - x)(7 - x)
36 = 56 - 8x - 7x + x</span>²
<span>x</span>² - 15x +20 = 0 → model of our equation and in quadratic form
x² - 15x + 20 = 0
using a calculator, x = 1.48 inches
<span>
3.Use the equation you created in part A to find the width of the picture frame</span>
Answer:
Step-by-step explanation:
Hmmmmm you did not give the full equation for the original line.
However, parallel lines have identical slopes. Whatever coefficient (m) is associated with the x value, will be the slope of the parallel line when the equation is put in the form
y = mx + b
Answer:
A'(- 3, 5 )
Step-by-step explanation:
Under a counterclockwise rotation about the origin of 270°
a point (x, y ) → (y, - x ), hence
A(- 5, - 3 ) → A'(- 3, 5 )
Answer:
Horizontal distance between lifeguard and the person is 22 feet.
Step-by-step explanation:
Given: A lifeguard sees a person in distress.The eye level of the lifeguard is 15 feet above the ground. Angle of depression is 34°.
To find: Horizontal distance between lifeguard and the person.
Solution : If we draw a triangle then tan∅ = 
Here base is the horizontal distance.
Now we put the values in the formula.
tan 34° = 
Or Base = 
= 
So the answer is 22 feet.
Step-by-step explanation:
Atmost means less than 45:
Let us assume number is x
x<45(at most)
Atleast means more than 45:
x>45
