Answer:
Width of rectangle = 4 ft
Step-by-step explanation:
Given:
Area of rectangle = 48 ft²
Length of rectangle = 3[Width of rectangle]
Find:
Width of rectangle
Computation:
Assume;
Width of rectangle = a
So,
Length of rectangle = 3[Width of rectangle]
Length of rectangle = 3a
Area of rectangle = l x b
48 = 3a x a
3a² = 48
a² = 16
a = 4
Width of rectangle = 4 ft
Length of rectangle = 3[Width of rectangle]
Length of rectangle = 3[4]
Length of rectangle = 12 ft
Two lines perpendicular to each other having slopes m1 and m2 are related as:
m1 * m2=-1 ...................... (1)
First we find slope m1 of the line y=7/5x-3/5
comparing this equation with slope intercept form y=mx+b,
slope m1=7/5
NOw using rule (1) here to get value of m2
7/5 * m2 =-1
m2 =-5/7...................(2)
Now the line passes through (-4,3) and has slope m2 =-5/7
we use slope intercept form to get the value of y intercept
y=mx+b
3=(-5/7)(-4) +b
3=2.86 +b
b=0.14
At last we plug the value of b and m in slope intercept form to get the final equation as :
y=(-5/7) x + 0.14
Answer:
<h3>65m</h3>
Step-by-step explanation:
Since we are not asked what to find, we can as well calculate the displacement of Carrie.
Displacement will be gotten using Pythagoras theorem;
Given
direction through west x = -25m
direction through north y = 60m
Required
Displacement d
According to the theorem;
d² = x²+y²
d² = (-25)²+(60)²
d² = 625 + 3600
d² = 4225
d = √4225
d = 65 m
Hence the displacement of Carrie is 65m
Answer:
Step-by-step explanation:
2(−8x−3)+18x
2x−6
=2(x−3)
Answer:
C. 5 3/10
Step-by-step explanation:
After adding the red strips count up the yellow blocks (13 in all)
take away 10 because that makes 1 whole
3 left over out of that 10
4 red strips + 10/10 + 3/10 = 5 3/10