Answer:
2x^2+7x+3
Step-by-step explanation:
(2x+1)(x+3)
2x^2+x+6x+3
2x^2+7x+3
This question is incomplete because it lacks the diagram of the right angled triangle. Find attached to this answer the diagram of the right angle triangle.
Answer:
d-50
Step-by-step explanation:
Looking at the attached diagram, the only way to solve for this is the use of the trigonometric function. The trigonometric function to be used is the cosine function.
From the diagram, we are given
Hypotenuse = AB = 14
Adjacent = AC = 9
The measure of angle A to the nearest degree is calculated as:
cos θ = Adjacent / Hypothenuse
cos θ = 9/14
θ = cos -¹ (9/14) or arccos(9/14)
θ = 49.994799115°
To the nearest degree = 50°
Therefore,the measure of angle A to the nearest degree = 50°
Answer:
(1,-1)
(7,12)
(5,-3)
Step-by-step explanation:
we know that
If a ordered pair is a solution of the inequality, then the ordered pair must satisfy the inequality
we have

Verify each case
case 1) we have
(1,-1)
substitute the value of x and the value of y in the inequality and then compare the results

----> is true
therefore
The ordered pair is a solution of the inequality
case 2) we have
(7,12)
substitute the value of x and the value of y in the inequality and then compare the results

----> is true
therefore
The ordered pair is a solution of the inequality
case 3) we have
(-6,-3)
substitute the value of x and the value of y in the inequality and then compare the results

----> is not true
therefore
The ordered pair is not a solution of the inequality
case 4) we have
(0,-2)
substitute the value of x and the value of y in the inequality and then compare the results

----> is not true
therefore
The ordered pair is not a solution of the inequality
case 5) we have
(5,-3)
substitute the value of x and the value of y in the inequality and then compare the results

----> is true
therefore
The ordered pair is a solution of the inequality
Answer:
$135
Step-by-step explanation:
Step 1
Conversion
Base = 2 yards
1 yard = 3 feet
2 yards = x
Cross Multiply
x = 2 × 3 feet = 6 feet
Height = 5 yards
1 yard = 3 feet
5 yards = x
Cross Multiply
x = 5 × 3 feet = 15 feet
Step 2
Find the area of the triangle
Area of a triangle = 1/2 × base × height
Base = 6 feet
Height = 15 feet
Area = 1/2 × 6 × 15
= 45 square feet
Step 3
Find the cost of the carpet
1 Square foot = $3
45 square feet = x
Cross Multiply
x = 45 × $3
x = $135
Therefore, the amount you will pay to cover a triangular section of the floor is $135