Calculate the equation of the line through the points (-1, 1), (4, 0), and (24, -4).
1 answer:
You might be interested in
Answer:
7.
8. l=11cm and w=7 cm
9.
10.
Step-by-step explanation:
Question 7.
The given expression is:
Expand the parenthesis using the distributive property:
Group similar terms:
Simplify
Divide both sides by -10
Question 8:
Let the width of the rectangle be;
The length of the rectangle is
The perimeter is given as:
Given that the perimeter P=36, then:
Divide both sides by 2:
Subtract 4 from both sides:
The dimensions of the rectangle is: w=7 cm and l=7+4=11cm
Question 9
Let the number be x.
"5 fewer than the number" is written as
"5 fewer than a number is at least 12" becomes
Question 10:
Let the number be x.
The quotient of a number and 3 is written as:
The quotient of a number and 3 is no more than 15 is written as;
M∠A = 42° [isosceles triangle]
m∠B = 180 - 42 - 42 = 96° [in a triangle, the three interior angles always add to 180°]
m∠C = 180 - 96 - (x+12)
m∠C = 84 - x - 12
m∠C = 72 - x
2x+9 + 3x-1 + 72-x = 180
4x + 80 = 180
4x = 180 - 80
4x = 100
x = 100/4
x = 25
m∠C = 72 - x = 72 - 25 = 47°
<span>I hope this helped</span>
m∠B = 180 - 42 - 42 = 96° [in a triangle, the three interior angles always add to 180°]
m∠C = 180 - 96 - (x+12)
m∠C = 84 - x - 12
m∠C = 72 - x
2x+9 + 3x-1 + 72-x = 180
4x + 80 = 180
4x = 180 - 80
4x = 100
x = 100/4
x = 25
m∠C = 72 - x = 72 - 25 = 47°
<span>I hope this helped</span>