Answer:
The force is 12 N
Step-by-step explanation:
* Lets explain how to solve the problem
- Direct variation is a relationship between two variables that can
be expressed by an equation in which one variable is equal to a
constant times the other
- If y ∝ x , then y = kx , where k is the constant of variation
* Lets solve the problem
- The force acting on the object varies directly with the object's
acceleration
∵ The force is F in newtons and a is the acceleration is m/s²
∴ F ∝ a
∴ F = ka
- To find k substitute F and a by the initial values of them
∵ A force of 10 N acts on a certain object, the acceleration of the
object is 5 m/s²
∵ F = 10 N when a = 5 m/s²
∵ F = ka
∴ 10 = k(5)
- Divide both sides by 5
∴ K = 2
- Substitute the value of k in the equation
∴ F = 2a
- Lets find the force when the acceleration is 6 m/s²
∵ a = 6 m/s²
∴ F = 2(6) = 12
* The force is 12 N
Answer:
We see that opposite angles are two angles between two secant lines (“secant lines” simply means two lines that cross each other) that share a vertex (that is why they are called “vertical” angles). We see also that they are not adjacent (which means next to each other) but opposite each other.
Step-by-step explanation:
Vemos que los ángulos opuestos son dos ángulos entre dos líneas secantes (“líneas secantes” simplemente significa dos líneas que se cruzan) que comparten un vértice (por eso se llaman ángulos “verticales”). También vemos que no son adyacentes (lo que significa uno al lado del otro) sino uno frente al otro.
Answer:
12.5%
Step-by-step explanation:
105 over 120 is the fraction that he got so you subtract 105 from 120 to get how much he missed. 120-105=15
He miscalculated by 15 cm out of the total of 120, 15/ 120
15/120=5/40=2.5/20 multiply the top and bottom by 5 to get the percentage out of 100. 2.5 times 5 =12.5, so he miscalculated by 12.5%
The polynomial y3 - 11xy2 + 2x2y - 13x3 corresponds to the subtraction
of multivariate polynomial because of the minus and plus sign in it. Also, the
variables cannot be easily added or subtracted because they are all different. Unlike
in the polynomial 19x3 + 44x2y + 17, it has no minus sign.
Answer:
<h2>x=-2 or x=8</h2>
Step-by-step explanation:
Isolate by the x from one side of the equation.
|x-3|=5
x-3=-5 and x-3=5
1. x-3=-5
Add 3 from both sides.
x-3+3=-5+3
Solve.
-5+3=(-2)
x=-2
2. x-3=5
Add 3 from both sides.
x-3+3=5+3
Solve.
5+3=8
x=8
Therefore, the correct answer is x=-2 or x=8.
