Answer:
30 centimeters^2
Step-by-step explanation:
The area of a triangle can be found using the following formula.
A= (b*h)/2
In this triangle, the base is 12 cm. The height is 5 cm, since it forms a right angle with the base.
b= 12 cm
h= 5 cm
A= (12 cm * 5 cm) / 2
Solve inside the parentheses first. Multiply 12 cm and 5 cm.
A= (60 cm^2) / 2
Divide 60 cm^2 by 2
A= 30 cm ^2
The area of the triangle is 30 square centimeters.
Answer:
i). x³ + 9x² + yz - 15
ii). -21m³np - 8p⁵q + mnp + 4mn + 100
Step-by-step explanation:
Question (38)
i). Two expressions are -5x² - 4yz + 15 and x³+ 4x²- 3yz
By subtracting expression (1) from expression (2) we can the expression by addition which we can get expression (1).
(x³+ 4x²- 3yz) - (-5x² - 4yz + 15) = x³ + 4x² - 3yz + 5x² + 4yz - 15
= x³ + 9x² + yz - 15
ii). -15m³np + 2p⁵q - 6m³pn + mnp + 4mn - 10qp⁵+ 100
= (-15m³np - 6m³np) + (2p⁵q - 10qp⁵) + mnp + 4mn + 100
= -21m³np - 8p⁵q + mnp + 4mn + 100
Answer:

Step-by-step explanation:
The slope of this line is 2 because the rise from one point is 2, and the run is 1. The change in y-value is divided by the change in the x-value which is 2/1, hence, the slope of the line being 2.
The slope of the line perpendicular to the one shown below will be
because the slope that will result in a perpendicular line is the negative reciprocal of the original slope.