You are going in the right direction. For the distance of ST I get √136
√(-5-1)² + (6+4)² =
√(-6)² + (10²) =
√ 36 + 100 =
√136
√34² + √136² =√170²
34 + 136 = 170
170 = 170
Answer:
The length of each side of the city is 250b
Step-by-step explanation:
Given
--- tree distance from north gate
--- movement from south gate
--- movement in west direction from (b)
See attachment for illustration
Required
Find x
To do this, we have:
--- similar triangles
So, we have the following equivalent ratios
Where:
Substitute these in the above equation
Express as fraction
Cross multiply
Open bracket
Rewrite as:
Expand
Factorize
Factor out x + 284
Split
Solve for x
x can't be negative;
So:
Answer:
(-1,1,3)
Step-by-step explanation:
midpoint = (x1+x2/2, y1+y2/2, z1+z2/2)
midpoint = ( (-6+4)/2, (3+-1)/2, (4+2)/2 )
midpoint = (-2/2, 2/2, 6/2)
midpoint = (-1, 1, 3)
Answer:
-30bc + 50bd
Step-by-step explanation:
3a + 5b/3c - 5d = 3a - 5b/3c - 5d
(3c - 5d)(3a - 5b) = (3a + 5b)(3c - 5d)
9ca - 15bc - 15da + 25db = 9ac - 15ad + 15bc - 25bd
9ca -15bc - 15da + 25db - 9ac + 15ad - 15bc + 25bd
9ca and -9ac and -15da and 15ad cancel each other out, so
-30bc + 50db is left
Answer:
Pretty sure it's the first one. It's the only one with the correct y-intercept and has a positive slope.
This is in fancy form, so you want to simplify it:
y = 3/4(x+4) - 6
Multiply it all,
y = 3/4x + 3/4(4) - 6
y = 3/4x + 3 - 6
y = 3/4x - 3
The first one matches.
