Answer:
C.
Step-by-step explanation:
Answer:
tggggggggggggggggggggggggggggggg
Step-by-step explanation:
hhvvvvvvvgggggggggg
vvvvvggfffffffffrrrfffffffffffffff
Answer:
32/3
Step-by-step explanation:
First you need to understand the slope-intercept form
y = mx +b
m = the slope of the line
b = the y-axis intercept
y and x represent the coordinates of a point on the line
So for the equation that you listed we know that the slope, m , is (3/4). We also know a given point on the line. therefore we also have a y value (1/3) and a x value (4).
So plug in the numbers:
(1/3)=(3/4)*4 + b
So to find the equation of this line we must solve for b
Multiply (3/4) and 4 to get 3
(1/3) = 3 + b
Now subtract 3 from both sides in order to isolate b
-2 2/3 = b or -8/3 = b
Now rewrite the equation with the y-intercept, b.
y = (3/4)x - (8/3)
From the wording I am assuming you are given a list of equations to chose from. It is possible that the some of all of the equations are listed in standard form. In that case, we need to find the equation:
Ax + By = C
To do that we simply take the slope intercept equation and manipulate it algebraically
y = (3/4)x - (8/3) First subtract (3/4)x from both sides
-(3/4)x + y = -(8/3) This is technically standard form but we can clean it up a bit by multiplying both sides of the equation by -4.
So -4 * -(3/4)x = 3x
-4 *y = -4y
-4 *-(8/3) = 32/3
So 3x - 4y = 32/3
I hope this helps
1. The answer is C. 7 with an exponent of 3 means that you multiply 7 by itself three times, or 7 x 7 x 7.
2. The answer is A. 19 with an exponent of 3 is the same as 19 x 19 x 19.
Answer:
Step-by-step explanation:
This is one of the more interesting motion problems I've seen. I like it! If Kelly is driving north (straight up) for 9 miles, then turns east (right) and drives for 12 miles, what we have there are 2 sides of a right triangle. The hypotenuse is created by Brenda's trip, which originated from the same starting point as Kelly and went straight to the destination, no turns. We need the distance formula to solve this problem, so that means we need to find the distance that Brenda drove. Using Pythagorean's Theorem:
and
and
so
c = 15.
Brenda drove 15 miles. Now we can fill in a table with the info:
d = r x t
Kelly 12+9 42 t
Brenda 15 45 t
Because they both left at the same time, t represents that same time, whatever that time is. That's our unknown.
If d = rt, then for Kelly:
21 = 42t
For Brenda
15 = 45t
Solve Kelly's equation for t to get
t = 1/2 hr or 30 minutes
Solve Brenda's equations for t to get
t = 1/3 hr or 20 minutes
That means that Brenda arrived at the destination 10 minutes sooner than Kelly.
