Answer:
Step-by-step explanation:
√x - 7 = 3 {add 7 to bothe sides}
√x - 7 + 7 = 3 + 7
√x + 0 = 10
√x = 10
Square both sides,
(√x)² = 10²
x = 100
The spring stretch by 80cm if a spring constant 0.5 m has a force of 40 newtons applied to it
<h3>How to calculate the force acting on string?</h3>
According to Hookes law
F = ke
where
F is the applied force = 40N
k is the spring constant
e is the extension = 0.5
Substitute
40 = 0.5e
e = 40/0.5
e = 80cm
Hence the spring stretch by 80cm if a spring constant 0.5 m has a force of 40 newtons applied to it
Learn more on hookes law here: brainly.com/question/12253978
The answer is 8 and 13
<span>
y = ax + b
y = 4, x = 1 </span>⇒ 4 = a + b
y = 6, x = 3 ⇒ 6 = 3a + b
Solve the system of equation:
a + b = 4
3a + b = 6
______
b = 4 - a
3a + b = 6
______
3a + 4 - a = 6
2a + 4 = 6
2a = 6 - 4
2a = 2
a = 2/2 = 1
b = 4 - a = 4 - 1 = 3
So, the function rule is: y = x + 3
Thus, if x = 7, then y = 7 + 3 = 10
If x = 10, then y = 10 + 3 = 13
x y
1 4
3 6
4 7
5 8
7 10
10 13
Negative times negative is positive.
Positive times positive is positive.
Negative times positive is negative.
(-3.8)(-5.7) gives you a positive product then it is + times (-1.4) which gives you a negative product.
Answer:
26mm because w=6mm and the perimeter of the smaller triangle is 48mm