Answer:
11.91
Step-by-step explanation:
The question says there is a new line that connects V and T. If this line is drawn, the diagram would have a right-angle triangle. This triangle is called TUV.
In triangle TUV, the side length created by the points VT is the hypotenuse.
For right-angle triangles, you can use the Pythagorean theorem to find any side.
It's in the format side² + side² = hypotenuse².
To use the formula, you need to know the length of the other two sides. The length of these sides, because they are exactly horizontal or vertical, is found by subtracting the smaller coordinate from the other (that is not the same).
The lengths of other sides:
VU:
-3 is the same. The length is 3.5 - (-5.75) = 9.25
UT:
-5.75 is the same. The length is 4.5 - (-3) = 7.5
Substitute the lengths into the Pythagorean theorem:
a² + b² = c²
9.25² + 7.5² = c² Simplify
141.8125 = c² Find the square root of both sides to isolate c
c = 11.91 Final answer, length of VT
Answer:
Step-by-step explanation:
Hello!
A linear function is written in the form of 
, where m is the slope and b is the y-intercept.
Each of these expressions can be converted to coordinate form, (-2,9) and (6,7).
<h2>Slope</h2>
Slope can be calculated by the difference in the x-values divided by the difference in the y-values.
Solve
The slope is -1/4.
<h2 /><h2>Y-intercept</h2>
The y-intercept is found by plugging in the x and y values of a coordinate and the slope and then solving for b.
Solve
<h2>Equation</h2>
We can find the equation by simply plugging in all the values that we found.
Equation:
Answer:
Ricky get $4 than Sam.
Step-by-step explanation:
.25x80=20
80-20=60
.30×80=24
80-24=56
Answer:
y - 2 / 4 is equivalent to 1/4y - 1/2
Maybe you thought about this:
m^2+6m-77+5=0 => m^2+6m-72=0 => m^2+ 2*3*m+3^2-3^2-72=0
=> m^2+2*3*x+3^2= (m+3)^2 this is the complete square of the binomial, we will still keep it =>
(m+3)^2 -9 -72=0 => (m+3)^2 - 81 = 0 => (m+3)^2 - 9^2 = 0
Now we got the difference squares, it mean a^2 - b^2 = (a-b) (a+b)
In according to this => (m+3-9) (m+3+9) = 0 =>
(m-6) (m+12)=0 => m-6=0 or m+12=0 => m1=6 or m2= -12 !!!!
Are you satisfied with this solution?
