Let the time = x
Distance = Speed x time
One train is 75x, the other train 85x
Add together to equal total distance:
75x + 85x = 384
Simplify:
160x = 384
Divide both sides by 160:
x = 384 / 160
x = 2.4 hours
Answer: Answer for figure one is origin (0,0)
Answer for figure two is (2,4) /
Step-by-step explanation:
a) Here we can see that given graph is the equation of cubic function which is
f(-x) = -f(x) that is given function is odd then rotational symmetry point is origin always ,therefore point of rotational symmetry is origin (0,0)
b) The rotational symmetry of an ellipse is 180 degrees about the center of the ellipse .
And here the center of given ellipse is (2,4) ,therefore its rotational symmetry is about (2,4) That is if we rotate the given ellipse 180 degrees about (2,4) it will be at its original position.
Answer:
She needs 50 ft² of wood to cover the table
Step-by-step explanation:
You need to know the formula for area of a trapezoid, which is
A = (B1 + B2)h/s (add the bases together, multiply by the height, then divide
by 2)
We are given B1 = 12, B2 = 8, and h = 5, so plug them in and simplify
A = (12 + 8)(5)/2
A = (20)(5)/2
A = 100/2
A = 50 ft²
Answer:-24
Step-by-step explanation:
-3(-2) = 6 x (-4) = -24
Solution,
Let P = ( x, -x + 6) = (x, 6 - x)
We want to solve this
( Distance from P to (0,0) )^2 = (Distance from P to (10, -10) )^2
x^2 + (6 - x)^2 = [ ( x - 10)^2 + ( 6 - x + 10)^2
x^2 + x^2 - 12x + 36 = x^2 - 20x + 100 + x^2 - 32x + 256 simplify
-12x + 36 = -52x + 356
40x = 320
x = 8
And y = -(8) + 6 = -2
So...P = ( 8, -2)
In mathematics, an equation is an equation that expresses two equations by joining them with an equal sign =. Equations in other languages and the word their relatives can have slightly different meanings; for example, in French, an equation is defined as containing one or more variables, but in English, it is an equal sign.
A well-formed expression consisting of two combined equations is an equation, and a variable makes the equation true. The variable for which the equation must be solved is also called the unknown, and the value of the unknown that satisfies the equation is called the solution of the equation. There are two types of equations: identities and constraint equations. The ID applies to all values of the variable. Constraint equations apply only to specific values of variables
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