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We have that
<span>35 + 30s - 45t
case A)
</span>7⋅(5+30s−45t)---> 35+210s-315t-----> is not <span>equivalent
case B)
</span>5(7+6s−9t)----> 35+30s-45t------> is equivalent to 35 + 30s - 45t
case C)
(−35−30s+45t)×(−1)----> 35+30s-45t---> is equivalent to 35 + 30s - 45t
case D)
10×(3.5+3s−4.5)----> 35+30s-45----> is not equivalent
case E)
( 35/2 - 15s + 45/2t) ⋅ (-2)--->-35+30s-45t---> is not equivalent
the answer is
<span>B. 5(7+6s−9t)
C. (−35−30s+45t)×(−1)</span>
Answer:
Height ( h) = 12 units.
Step-by-step explanation:
Given : An equilateral triangle with side = 8 √3.
To find : What us the length of the altitude of the equilateral triangle .
Solution : We have given equilateral triangle with side = 8 √3.
By taking the half triangle,
By the Pythagorean theorem :
(Hypotenuse)² = ( adjacent)² + (opposite)².
Plug the values Hypotenuse = 8√3 , adjacent = 4√3 , opposite = h.
(8√3)² = ( 4√3)² + (h)².
192 = 48 + (h)².
On subtracting by 48 both sides.
192 -48 = (h)².
144 = (h)².
On taking square root .
h = 12 .
Therefore, Height ( h) = 12 units.
3/6 of the beads are purple
3/6 simplified = 1/2
1/2 of 18, or 18/2 = 9
9 beads are purple
hope this helps
Answer: 1) B is correct, constant of variation is -2.
Step-by-step explanation:
1)
Direct variation states that a relationship between the two variables. we say y varies directly as x
i.e, or y =kx.................[1] ; where k is the constant of variation.
Given the equation:
Divide both sides by -4 we get;
Simplify:
.......[2]
On comparing equation [2] with [1] we get;
k = -2
