Given:
The sequence is defined as "triple v, then subtract 7 from the result".
To find:
The expression for the given sequence.
Solution:
Triple v means 3 times of v, i.e., 3v.
So, the result is 3v.
Then subtract 7 from the result. So, the expression for the sequence is
Therefore, the required expression is .
Answer:
x = 17
Step-by-step explanation:
Direct variation is given by
y = kx where k is the constant of variation
-35 = k*7
-35/7 = k
-5 = k
y = -5x
We know y = -85
-85 = -5x
Divide each side by -5
-85/-5 = x
17 =x
The radius of the circle is 5.2 units if the length of an arc of a circle is 7.34 units, and the measure of the corresponding central angle is 81°
<h3>What is a circle?</h3>
It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)
We have:
Length of the arc of a circle:
s = 7.34 units
The measure of central angle:
θ = 81 degrees = 1.413 radians
s = rθ
r is the radius of the circle
7.34 = r(1.413)
r = 5.19 ≈ 5.2 units
Thus, the radius of the circle is 5.2 units if the length of an arc of a circle is 7.34 units, and the measure of the corresponding central angle is 81°
Learn more about circle here:
brainly.com/question/11833983
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Answer:
y = 10
Step-by-step explanation:
Given the 2 equations
y = - 2x + 4 → (1)
y = x² + 4x + 13 → (2)
Since both equations express y in terms of x we can equate them
x² + 4x + 3 = - 2x + 4 ( subtract - 2x + 4 from both sides )
x² + 6x + 9 = 0 ← in standard form
(x + 3)² = 0 ← in factored form
x + 3 = 0 ⇒ x = - 3 with multiplicity 2
Substitute x = - 3 into (1)
y = 6 + 4 = 10
