Answer:
2, the second number line.
Step-by-step explanation:
-1 x 1/2 = -0.5
B) 405 m
tan(5) = x/4629
4629tan(5) = 404.9
Round up
x=405 m
Answer:
a rectangle is twice as long as it is wide . if both its dimensions are increased 4 m , its area is increaed by 88 m squared make a sketch and find its original dimensions of the original rectangle
Step-by-step explanation:
Let l = the original length of the original rectangle
Let w = the original width of the original rectangle
From the description of the problem, we can construct the following two equations
l=2*w (Equation #1)
(l+4)*(w+4)=l*w+88 (Equation #2)
Substitute equation #1 into equation #2
(2w+4)*(w+4)=(2w*w)+88
2w^2+4w+8w+16=2w^2+88
collect like terms on the same side of the equation
2w^2+2w^2 +12w+16-88=0
4w^2+12w-72=0
Since 4 is afactor of each term, divide both sides of the equation by 4
w^2+3w-18=0
The quadratic equation can be factored into (w+6)*(w-3)=0
Therefore w=-6 or w=3
w=-6 can be rejected because the length of a rectangle can't be negative so
w=3 and from equation #1 l=2*w=2*3=6
I hope that this helps. The difficult part of the problem probably was to construct equation #1 and to factor the equation after performing all of the arithmetic operations.
Answer:
(-4, 0) (8, 0)
Step-by-step explanation:
I did the K12 test.
The function will be a (linear function) linear equation in two variable and the equation of the function is y = 87x - 783
<h3>What is a linear equation?</h3>
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have given data:
Game(x): 13 14 15 16 17 18
Attendance(y): 348 435 552 609 696 783
If plot these points on a coordinate plane, we will see these points will align in a straight line.
We know we can find a line equation with two points:
(13, 348) and (14, 435)
y - 435 =87(x-14)
y = 87x - 783
Thus, the function will be a (linear function) linear equation in two variable and the equation of the function is y = 87x - 783
Learn more about the linear equation here:
brainly.com/question/11897796
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