Answer:
14 yards
Step-by-step explanation:
the area of a triangle is 0.5×b×h
so
plug in what you have
0.5×b×3=21
(3x0.5)b=21
1.5b=21
b=21/1.5
b=14
Answer:
Step-by-step explanation:
- 1/a + 1/b =
- b / ab + a / ab =
- (b + a) / ab
The common denominator is ab
Correct choice is D
177 miles/3 hour x (5280 ft/1 mile) x (1 hour/3600 seconds)=934560/10800=86.533 ft/sec
86 ft/sec
Hello!
The number of tickets is dependent on age, so age is the independent variable.
Think of it as a y = mx equation. In this equation, x is the input, and y changes depending on the value of x inputted.
In this situation, y is the number of tickets, as y changes depending on the age x inputted. x is age, the independent variable.
First, you need to rewrite the expression into binomial form, so you are working with two terms (as you world with a quadratic):
(x²)²-3(x²)-4=0
Now, you can place the x²s into brackets as the coefficient is now 1:
(x² )(x² )
Next, find out two numbers that add together to give you -3 and multiply to give -4 (these are the leftover integers after removing the x²s). These two numbers are -4 and 1.
Place the -4 and 1 into the brackets:
(x²-4)(x²+1)=0
Notice that the x²-4 is a difference of two squares, so can be further factorised into (x+2)(x-2)
This leaves you with a final factorisation of:
(x+2)(x-2)(x²+1)=0
Now we handle each bracket individually to obtain our four solutions for x:
x+2=0
x=-2
x-2=0
x=2
x²+1=0
x²=1
x=<span>±1</span>
