Triangle ABC has vertices at A(3, 8) , B(11, 8) , and C(7, 12) . Triangle FGH has vertices at F(8, 4) , G(16, 4) , and H(12, 8)
KiRa [710]
Vertices of ΔABC
A - <span>(3, 8)
</span><span>B - (11, 8)
C - (7, 12)
vertices of </span>Δ<span>FGH
F - (8, 4)
G - (16, 4)
H - (12, 8)
after a translation the size nor shape of the triangle changes, every point of the triangle moves the same distance in the same direction.
if we take point A and F
x coordinates of A = 3 and F = 8
the change that has happened can be noted as 'm'
3 + m = 8
m = 5
this means that the point has moved 5 units to the right
y coordinates of A = 8 and F = 4
change that happened is 'n'
8 + n = 4
n = -4
this means that point has moved 4 units downwards
Therefore the correct answer is </span><span>Translate triangle ABC down 4 units, and then translate triangle ABC right 5 units</span>
The answer in a fraction is 2/5 , the answer in decimal form is 0.4 !
Answer:
-2019
Step-by-step explanation:
Well you can calculate it.
2018 * 2020 + 1 = 4076361
Square root is 2019.
Since x is negative, the answer is -2019
Answer:
6 years
Step-by-step explanation:
So each person's age can be represented as a linear equation, since each year our age increases by 1. It can be represented in the slope-intercept form: y=mx+b. The slope in this case is going to be 1, since the time is going to be years, and each year everyone's age goes up by 1 (of course if you're still alive...) and y-intercept in this case represents their current age.
So the father can be represented as: y=x+38
The sons can be represented as: y = x+13 and y=x+5
The daughter can be represented as: y=x+8
So adding up all his children you get:
(x+13)+(x+5)+(x+8)
This gives you the equation:
3x+26
Now set this equal to the father's age to solve for x (in this context it's years)
3x+26=x+38
Subtract from both sides
2x+26=38
Subtract 26 from both sides
2x=12
Divide both sides by 2
x=6
So in 6 years the father will be the same age as his children put together
