Answer:
4.8
. i think i am not sure
Step-by-step explanation:
Answer:
b) √29
Step-by-step explanation:
Given: The origin is (0, 0), the point P is (2, -5).
We need to use the distance formula.
Distance formula = 
Here x2 = 2, x 1 = 0, y1 =0, y2 = -5
Distance = 
= 
= √(4 + 25)
= √29
The answer is b) √29
Hope you will understand the concept.
Thank you.
Answer:
A) 264 ft^2, 4 gallons
Step-by-step explanation:
Area of rectangle = 12 ft x 18 ft = 216 ft^2
Area of triangle = 1/2 (28- 18)(12) = 1/2(10)(12) = 60 ft^2
Area of window: 3 ft x 4 ft = 12 ft^2
Areas will be painting = (216 + 60) - 12 = 264 ft^2
1 gallon of paint will cover 70 ft^2 so 264 ft^2 / 70 ft^2 = 3.77 gallons
So Mr. Williams will need 4 gallons of paint to cover 264 square feet of his barn
Answer:
The triangles are congruent because:
- QP = ST
- angle P = angle T
- the side PT is in both triangles
We know when 2 sides of two triangles and the angle between them is congruent, the triangles are congruent.
Answer:
The given system as (3,3) as its solution.
Step-by-step explanation:
Here, the given system of the equation is:
4 x + 2 y = 18
................ (1)
2 x + 3 y = 15 ............... (2)
Now, to use the elimination method, w need to eliminate any of the variable.
Eliminate the variable x in the given system.
Multiply equation (2) with -2 we get,
(2 x + 3 y = 15 )(-2) ⇒ -4x - 6y = -30 ....... (3)
Add (1) and (3), we get:
4 x + 2 y -4x - 6y = 18 -30
or, - 4 y = - 12
or, y = 12/4 = 3 ⇒ y = 3
Putting in (1), we get
4x + 2(3) = 18 or, 4x = 18 - 6 = 12
or, x = 3
(x,y) = (3,3)
Hence, the above system as (3,3) as its solution.