9 quarters...................
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
Slope intercept form is to leave y by itself. ok this is the initial question 3x+4y=5 and we want y by itself. first subtract 3x by both sides. you now have 4y=5-3x, then divide 4 by both sides. y=5-3x/4, this is slope intercept form, if you still need help download the app socratic and photomath.
If there were 180 taking the survey and 95 were female, that means that there were 85 males.
Since only 21 of the males said red was their favorite color, we can write the fraction 21/85.
21 / 85 x 100 = 24.7%
24.7% of the males said red was their favorite color.
12:15 does not belong, since that is a ratio of 4:5, whilst the others are all 3:4.
