False because 6 is divisible by 2 and 3, but not 12
Answer:
B 10.8 or
A 9.2 depending on what side of the triangle is "x".
Step-by-step explanation:
we cannot see the triangle and which side is which. you forgot to show us the picture (or describe it in more detail).
but I assume that "x" would be the Hypotenuse (the baseline of the right triangle, the side opposite of the 90 degree angle).
then by using Pythagoras
c² = a² + b²
=>
x² = 10² + 4² = 116
x = sqrt(116) = 10.8
but if x is any of the other sides (and not the Hypotenuse), then you need to adapt the calculation.
for example, if the Hypotenuse is the side with 10, then Pythagoras' formula would look like this
10² = x² + 4²
x² = 10² - 4² = 84
x = sqrt(84) = 9.2 (and answer A would be correct).
or if the Hypotenuse is the side with 4, then
4² = x² + 10²
x² = 4² - 10² = -84
x = sqrt(-84)
and that did not make any sense for real distances. so, this configuration is actually impossible for a right triangle.
Answer:3
Step-by-step explanation:
A rational number can be expressed as the ratio of two integers.
Where a and b are integers and b is not equal to 0.
The rational number 8.8 can be expressed as two integers. Like
Lets write the given equation in the y = mx + c form
y - 4 = -2/3(x-6)
y - 4 = -2/3x + 4
y = -2/3x + 8
therefore the slope is -2/3 and intercept is +8
the perpendicular line passes through x = -2 and y = -2
then if the given graph has a slope of -2/3 the line that is perpendicular to that should have the reciprocal of the gradient and should be in the opposite direction. So m = +3/2
lets substitute x,y and m values for the new perpendicular line
y =mx + c
-2 = 3/2 * -2 +c
-2 = -3 +c
c = -2 +3
c = 1
Therefore the equation for the perpendicular line is
y = 3/2x + 1
