Answer:
a triangle with the side measurements of 5, 5, and 5 inches
Step-by-step explanation:
a^2+b^2=c^2
Answer:
11
Step-by-step explanation:
cross multiply - 2(2x-4) = 3(x=1)
4x - 8 = 3x + 3
4x - 3x = 3 + 8
x = 11
Part I)
The module of vector AB is given by:
lABl = root ((- 3) ^ 2 + (4) ^ 2)
lABl = root (9 + 16)
lABl = root (25)
lABl = 5
Part (ii)
The module of the EF vector is given by:
lEFl = root ((5) ^ 2 + (e) ^ 2)
We have to:
lEFl = 3lABl
Thus:
root ((5) ^ 2 + (e) ^ 2) = 3 * (5)
root ((5) ^ 2 + (e) ^ 2) = 15
Clearing e have:
(5) ^ 2 + (e) ^ 2 = 15 ^ 2
(e) ^ 2 = 15 ^ 2 - 5 ^ 2
e = root (200)
e = root (2 * 100)
e = 10 * root (2)
Answer:
x>1 and y>1
Step-by-step explanation:
x+y>2....... (i)
2x-y>1...... (ii)
Adding equations (i) and (ii),
x+y+2x-y>2+1
3x>3
x>3/3
x>1.
Putting the value of x in equation (i),
1+y>2
y>2-1
y>1.
Answer:
y = 4.125x + 496.25
Step-by-step explanation:
Set the data up as points. Then deal with the points.
Givens
(30,620)
(70,785)
y2 = 785
y1 = 620
x2 = 70
x1 = 30
Formula
Slope = (y2 - y1) / (x2 - x1)
Solution
Slope = (785 - 620)/(70 - 30)
Slope = 165 / 40
Slope = 4.125
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Now you need the y intercept. Either one of the two given points will give you that.
y = 620
x = 30
m = 4.125
y = mx + b
620 = 4.125*30 + b
620 = 123.75 + b
620 - 123.75 + b
b = 496.25
