Answer:
The standard form for linear equations in two variables is Ax+By=C. For example, 2x+3y=5 is a linear equation in standard form. When an equation is given in this form, it's pretty easy to find both intercepts (x and y). This form is also very useful when solving systems of two linear equations.
Step-by-step explanation:
Answer:
a) d = 36 ft. ( using Pithagoras´theorem )
b) d = 36 ft ( Using ( function sin ) trigonometry
Step-by-step explanation:
a) Using Pythagoras´Theorem:
Diagonal (d) is the hypothenuse of a right triangle of side 25 feet, and according to Pythagoras´Theorem in a right triangle.
d² = a² + b²
In this particular case a = b = 25 feet then
d² = (25)² + ( 25)²
d = √ 2 * (25)²
d = √2 * 25
d = 1,414*25
d = 35,35
d = 36 ft.
b) Using trigonometry:
We know that sin 45° = cos 45° = √2 / 2
In a right triangle
sin α = opposite side / hypothenuse (d)
sin 45° = √2 / 2 = 25/ d
√2 *d = 2* 25
d = 50/√2
d = 50 / 1,414
d = 35,36
d = 36 ft
Dear SailorMars, #4's question is very convoluted so I won't show you how to do it. Luckily, I do know how to do #5 and #6. With #5, multiply 8 5/6 by two to get 17 2/3, then do 50-17 2/3 to get 32 1/3 ft of tape. With #6, add 11 1/2 and 6 4/5 to get 18.3 gallons of gas, then do 18.3-3 3/10 to get 15 gallons of gas used.
Traffic rules are set by each individual state.
In most states, an intersection where traffic lights are out of order
is treated as if it were a 4-way STOP.
But you can't depend on this answer. You MUST determine what
the law is in the state where you're driving. And if you drive out of
state, it may change for you.
