Answer:
Step-by-step explanation:
y= 3(1)-1 --> y=2 (1,2)
y=3(5)-1 --> y=14 (5,14)
y=3(6)-1 --> y=17 (6,17)
y=3(8)-1 --> y=23 (8,23)
Answer:
(x+9)^2 + (y+1)^2 = 100
Step-by-step explanation:
Since the question says diameter, we know the boundary in a circle. Therefore, we just need to find the center and radius.
The center is the midpoint of the two endpoints on a diameter.
Here, it is (-9, -1).
Therefore, the left part of the equation is (x- -9)^2 + (y - -1)^2 = (x+9)^2 + (y+1)^2.
The radius: sqrt(8^2 + 6^2) = 10
So the equation is (x+9)^2 + (y+1)^2 = 100
Answer:
DE = 5
Step-by-step explanation:
The 3 sides of the triangle are congruent , then
DF = EF , that is
a - 15 = 
a - 5 ( multiply through by 5 to clear the fractions )
2a - 75 = a - 25 ( subtract a from both sides )
a - 75 = - 25 ( add 75 to both sides )
a = 50
Then
DE = EF = × 50 - 5 = 10 - 5 = 5
Answer:
Distance between Amber and Claire's house = 17.63 blocks
Step-by-step explanation:
In this graph three points are showing the locations of Amber's, Betsey's and Claire's houses.
Each unit on the graph represents 1 block.
Amber walks from her house to Claire's house, then on to Betsey's house.
We have to calculate the distance covered by Amber.
Since Distance from Claire's house to Betsey's house = 7 blocks = 7 units
and distance between Amber and Betsey's house = 8 blocks = 8 units
Now we will calculate the distance between Amber and Claire's house by Pythagoras theorem.
Distance² = 7² + 8² = 49 + 64 = 113
Distance = √113 units = 10.63 units
Therefore, total distance walked by Amber = 10.63 + 7 = 17.63 units = 17.63 blocks
Answer:
(2, 5)
Step-by-step explanation:
The longest side of the triangle will be the side with the coordinate (1,4) and (3,6) due the value of the distance between them;
Midpoint = (x1+x2/2, y1+y2/2)
X = 1+3/2
X = 4/2
X = 2
Y = 4+6/2
Y = 10/2
Y = 5
Hence the required midpoint (X, Y) will be at (2, 5)
