Answer:
C(8,14)
Step-by-step explanation:
initial point (-3,-5) and terminal point (5,9)
vector form=(change in x, change in y)
V=(Xf-Xi,Yf-Yi)
V=[5-(-3), 9-(-5)]
V=(8,14)
Answer:
447 ft
Step-by-step explanation:
Add 417 and 30 together. That will give you the total direct distance between the two. 417+30=447
Answer:
26.7
Step-by-step explanation:
This is the answer because 26.7/20 = (16+26.7)/32
When two triangles are similar, it means their sides are also proportional. The reason why it is not ten is because you need to add 10 to 16 to the large triangle as well, which no longer makes it proportional.
To solve, you create a formula.
(16+x)/32=x/20
Multiply both sides by 32 to get rid of the 32 in the left side.
16+x=32x/20
Multiply both sides by 20 to get rid of the 20 right side.
320+20x=32x
-20x on both sides to get all the variables on one side and all the nukbers on the other.
320=12x
Divide both sides by 12 to get x by itself
x=26.66667
Answer:
y = - 3x + 21
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - 3x + 4 ← is in slope- intercept form
with slope m = - 3
Parallel lines have equal slopes , then
y = - 3x + c ← is the partial equation
To find c substitute (7, 0 ) into the partial equation
0 = - 21 + c ⇒ c = 0 + 21 = 21
y = - 3x + 21 ← equation of parallel line
Answer:
x = 2 and x = 10
Step-by-step explanation:
(x+3)^2 = (x - 5)^2 + (x + 2)^2
x^2 + 6x + 9 = x^2 - 10x + 25 + x^2 + 4x + 4
x^2 + 6x + 9 =2x^2 - 6x + 29
x^2 - 12x + 20 = 0
(x - 10)(x - 2) = 0
x - 10 = 0; x = 10
x - 2 = 0; x = 2
