Answer:
286
Step-by-step explanation:
If the three-digit number is xyz, then:
x + y + z = 16
y = z + 2
z = 3x
Substitute the third equation into the second:
y = 3x + 2
Substitute this and the third equation into the first:
x + (3x + 2) + (3x) = 16
7x + 2 = 16
7x = 14
x = 2
y = 3x + 2 = 8
z = 3x = 6
The number is 286.
Answer:
y = -4x - 4
Step-by-step explanation:
If we have two lines in slope intercept form as

then the product of the slopes 
In other words, 
We have the first line as

The slope of this line is
The slope of a perpendicular line will be the negative of the reciprocal of this line
Reciprocal of 1/4 is 4
So slope of perpendicular line is -4 which implies
y = -4x + c
We have to determine c
Since the line passes through (-3, 8), plug in these values for x and y in the equation and solve for c
8 = (-4)(-3) + c
8 = 12 + c
c = -4
So the equation of the perpendicular line is y = -4x - 4 (Answer)
It is always a good idea to plot these graphs and see if they fit the data provided
The attached plot shows the two graphs and you can see they are perpendicular to each other and the perpendicular line(the answer) passes through point (-3,8)
Answer:
The value of x is 14
Step-by-step explanation:
The value of x is 14 because the smaller triangle was dilated by 3 to get the bigger triangle. I figured this out because
9 ÷ 3 = 3
so this would mean that 5 was dilated by 3 also. So to figure this out, it would be
5 × 3 = 15
1 of that 15 is already there.
So this means that
15-1=14
A=14
I hope this helps you.
Answer:
A true
Step-by-step explanation:
Rectangles have parallel sides and 90 degree angles.
Squares have parallel sides and 90 degree angles and equal length sides
Square are a subset of rectangles
All squares are rectangles
Exception if the integer is a negative