Answer:
132
Step-by-step explanation:
11 / 5 = 2.2
2.2 x 60 = 132
The second derivative at the point (2,2) is 34/9
<u>Explanation:</u>
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2x⁴ = 4y³
2x⁴ - 4y³ = 0
We first need to find dy/dx and then d²y/dx²
On differentiating the equation in terms of x
dy/dx = d(2x⁴ - 4y³) / dx
We get,
dy/dx = 2x³/3y²
On differentiating dy/dx we get,
d²y/dx² = 2x²/y² + 8x⁶/9y⁵
d²y/dx² = 34/9
Therefore, the second derivative at the point (2,2) is 34/9
The answer is: " -21 " .
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We are asked to solve for: "6t" ; which is: "6 * t" .
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Given: 3t − 7 = 5t ; Solve for "t" ; then solve for "6t" ;
3t − 7 = 5t ; Subtract "3t" from each side of the equation;
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3t − 7 − 3t = 5t − 3t ;
to get: -7 = 2t ;
Divide EACH side of the equation by "2" ; to isolate "t" on one side of the equation; and to solve for "t" ;
-7/2 = 2t / 2 ;
-3.5 = t ; ↔ t = - 3.5 ;
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Now, solve for "6t" ;
6 t = 6*(-3.5) = - 21 . The answer is: " -21 " .
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Answer:
The answer is below
Step-by-step explanation:
Two triangles are said to be congruent if all the three angles and three sides of one triangle is equal to the three sides and three angles of the other triangle.
Statement Reason
RS ⊥ TS and RV ⊥ TV Given
∠S = ∠V are right angles Definition of perpendicular. Since RS ⊥ TS,
hence ∠S = 90° and RV ⊥ TV hence ∠V = 90°
ST ≅ VT Given
RT ≅ RT Reflexive property of congruence
ΔTSR ≅ ΔTVR Hypotenuse leg congruence theorem. For
two right triangles, if the hypotenuse and leg
of one triangle is the same as the hypotenuse
and leg of the second triangle, then the two
triangles are congruent.
RS ≅ RV Definition of congruency.
Answer:
X=2, AB=14, DC=14
Step-by-step explanation:
3x+8=x+12
Subtract x from both sides
2x+8=12
Subtract 8 from both sides
2x=4
Divide by 2 on the sides
Answer: x=2
Then replace the x's with (2) and multiply
3(2)+8 and (2)+12
