Answer:
1. 9/16 * 12/13 = 27/52
2. 7/10 * 5/28 = 1/8
Step-by-step explanation:
1.
9 / 16 * 12/13
9 * 12 = 108
16 * 13 = 208
108 / 208
Simplify:
27/52
2.
7 / 10 * 5 / 28
7 * 5 = 35
10 * 28 = 280
Simplify:
1/8
Answer:
meter
Step-by-step explanation:
Answer:
The system of inequalities is
y\geq 3x-2
y<-(1/5)x+2
Step-by-step explanation:
step 1
Find the equation of the solid blue line
Let
A(0,-2), B(1,1)
Find the slope of AB
m=(1+2)/(1-0)=3
The equation of the line into slope intercept form is equal to
y=mx+b
we have
m=3
b=-2 - ----> the point A is the y-intercept
substitute
y=3x-2 - -----> equation of the solid blue line
The solution of the inequality is the shaded area above the solid line
therefore
The first inequality is
y\geq 3x-2
C(0,2), D(5,1)
step 2
Find the equation of the dashed red line
Let
Find the slope of CD
m=(1-2)/(5-0)=-1/5
The equation of the line into slope intercept form is equal to
y=mx+b
we have
m=-1/5
b=2 ----> the point C is the y-intercept
substitute
y=-(1/5)x+2 -----> equation of the dashed red line
The solution of the inequality is the shaded area below the dashed line
therefore
The second inequality is
y<-(1/5)x+2
The system of inequalities is
y\geq 3x-2
y<-(1/5)x+2
pt1= (10,12)
pt2= (10,-8)
_________________
distance = √ (x1 - x2)² + (y2 - y1)²
_________________
=√ (0)² + (-20)²
______
=√400
=20 units
Use cymath it can really help you cause in here you can barely do it