Answer:
375g × 28
The total mass in grams is 10,500gs
The greatest common factor is 32
Given that the transverse axis of a hyperbola is the x-axis, the re-written in the standard form,
a = 3
b = 1
c = 12.
<h3>How do you solve for the standard form of the above equation?</h3>
It is to be noted that the standard form of a linear equation is given as:
ax + by = c
Rewritten in the normal format,
y=± (4)/(3)x ⇒ y-4 = -3 (x-3)
Simplifying -3(x-3) by applying distributive property and we have:
-3x -3 * -3
Hence
y-4 = -3x -3 * -3
⇒ y-4 = -3x + 9
Collecting like terms on one side of the equation we have
3x + y - 4 = 9
⇒ 3x + y = 9+4
⇒ 3x + y = 12 = Standard Form
Therefore, in standard from,
a = 3
b = 1
c = 12
See the relevant Graph attached.
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Answer:
base = 12 cm , altitude = 16 cm
Step-by-step explanation:
the area (A) of a triangle is calculated as
A = ba ( b is the base and a the altitude )
here a = b + 4 , then
b(b + 4) = 96 ( multiply both sides by 2 to clear the fraction )
b(b + 4) = 192
b² + 4b = 192 ( subtract 192 from both sides )
b² + 4b - 192 = 0 ← in standard quadratic form
(b + 16)(b - 12) = 0 ← in factored form
equate each factor to zero and solve for b
b + 16 = 0 ⇒ b = - 16
b - 12 = 0 ⇒ b = 12
however, b > 0 then b = 12
so base = 12 cm and altitude = b + 4 = 12 + 4 = 16 cm
The answer to this problem would be:
0.279 x 53 = 14.787