Answer:
Step-by-step explanation:
(1x/4 + 1/7) + (3x/8 - 1/3) = x/4 + 3x/8 + 1/7 - 1/3
= x*2/4*2 + 3x/8 + 1*3/7*3 - 1*7/3*7
= 2x/8 + 3x/8 + 3/21 - 7/21
= (2x+3x)/8 + (3-7) /21
= 5x/8 + (-4)/21
= 5x/8 - 4/21
Answer:
180 square inches
Step-by-step explanation:
Area, A is given by A=0.5bh where b is base and h is height. Since both of these dimensions are provided then we substitute the given figures into the formula. Substituting 12 inches for base, b and 30 inches for height, h then the area will be equivalent to
A=0.5*12*30=180 square inches.
Therefore, the area of the described triangle is 180 square inches.
Answer:
Base: 8cm. Height: 21cm
Step-by-step explanation:
We know that the base of a rectangle is 13 cm. longer than the height and the perimeter is 58 cm. Here is how we would set up the problem:
2x+2(x+13)= 2x + 2x + 26 = 4x + 26 = 58 (now we use the distributive property:
4x + 26 = 58
-26 -26
4x = 32
So, the base is 8 cm.
Now it's time to find the height.
So, we know the base (in total) is 16 cm. Now we do 58-16=42. Now we divide 42 divided by 2 = 21 cm.
Answer:
A) Vertical.
Step-by-step explanation:
It must pass the vertical line test. That is it must not have any vertical line passing through more than one point on the curve. If it does then it is not a function.
Thus , for example, a circle graph would not be a function.
Answer:
M(h) = 73.18025h
Step-by-step explanation:
The composite function is ...
M(B(L(h))) = M(B(28.75h)) = M(1.78(28.75h)) = M(51.175h)
= 1.43(51.175h) = 73.18025h
The composite function is ...
M(h) = M(B(L(h))) = 73.18025h
