75 ÷ 1 = 1
75 ÷ 3 = 25
75 ÷ 15 = 5
Answer:
A &B
Step-by-step explanation:
We need first to remove brackets in our given expression : 4m-2-8m=-4m-2
Check A
Multiply by -2 all member of brackets:
Check B
Multiply by 2 all member of brackets :
The exterior angles = 180 - 157.5 = 22.5 degrees
the exterior angles of all polygons add up to 360 degrees
therefore the total number of sides n = 360 / 22.5 = 16
Answer:
The volume of the swimming pool is approximately 2475 yd³ to the nearest whole number
Step-by-step explanation:
The given information are;
The width of the swimming pool = 75 ft. 1 in.
The length of swimming pool = 60 ft.
The depth of the swimming pool = 14 ft. 10 in.
Therefore;
The volume of the swimming pool = Width × Length × Depth
The volume of the swimming pool = 75 ft. 1 in. × 60 ft. × 14 ft. 10 in.
The volume of the swimming pool = 901 in. × 720 in. × 178 in. = 115472160 in.³
1 in.³ = 2.14335 × 10⁻⁵ yd³
∴ 115472160 in.³ = 115472160 in.³ × 2.14335 × 10⁻⁵ yd³/in³ ≈ 2474.969 yd³
Which gives;
The volume of the swimming pool ≈ 2475 yd³ to the nearest whole number.
1.) The slope equals -5/4 because if we change the 4x+5y=-2 to a slope-intercept form then we can easily see the m (slope) and from that you switch the sign of the number and switch the numbers (ex. -1/2 = 2, 3 = -1/3). To get to the slope-intercept, you subtract 4x from both sides to get 5y=4x-2, then divide both sides by the 5 next to y to get y=4/5x-2/5.
2.) The equation would be y=1/3x+5 because if make the equation into a slope-intercept form by adding the x to both sides to get 3y=x+6 then divide both sides by 3 for y=1/3+2, then we can see the slope is 1/3 and since parallel lines have the same slope, you know the new line's slope is 1/3. Now if we put the slope into a new equation you'll get y=1/3x+b, so you then substitute the point's x and y in the equation for 5=1/3(3)+b, and then solve for b which is 5. Putting the y-intercept (b) and the slope into an equation, you get y=1/3x+5.
