Answer:
m(u) = -0.25(u +2)² +1 or -0.25u² -u
Step-by-step explanation:
The equation is fairly easily written in vertex form, as the vertex point is on a grid line intersection at (-2, 1). The parabola opens downward, so the scale factor is negative.
The vertical change from the vertex is only a fraction of a unit when u differs from the vertex by 1. It is 1 unit when u differs from the vertex by 2, so the magnitude of the vertical scale factor is 1/2² = 1/4.
Our equation will be of the form ...
m(u) = (vertical scale factor)(u - (horizontal vertex location))² + (vertical vertex location)
For this graph, the equation is ...
m(u) = -0.25(u +2)² +1
or, simplifying, we get ...
m(u) = -0.25u² -u
(9/6) = (15/?)
9? = 90
? = 10
The true statement about the circle with center P is that triangles QRP and STP are congruent, and the length of the minor arc is 11/20π
<h3>The circle with center P</h3>
Given that the circle has a center P
It means that lengths PQ, PR, PS and PT
From the question, we understand that QR = ST.
This implies that triangles QRP and STP are congruent.
i.e. △QRP ≅ △STP is true
<h3>The length of the minor arc</h3>
The given parameters are:
Angle, Ф = 99
Radius, r = 1
The length of the arc is:
L = Ф/360 * 2πr
So, we have:
L = 99/360 * 2π * 1
Evaluate
L = 198/360π
Divide
L = 11/20π
Hence, the length of the minor arc is 11/20π
Read more about circle and arcs at:
brainly.com/question/3652658
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How many zeros does the function f(x) = 3x12 − 17x8 + 11x4 − 6x + 23 have?
Answer: the third option (12 zeros..).
Use ^ to denote an exponent..
f(x) = 3x^12 - 17x^8 + 11x^4 - 6x + 23..
We know from that fact that the number of zeros (real or complex) in a polynomial is the same as the degree of the polynomial..
The degree is the greatest/highest power of the terms, which in this case is 12 (since 12 is the greatest exponent..)..
The degree is 12, thus it means there are 12 zero's..
Answer: the third option (12 zero's )...
Answer:
a. 0.0000009 m
b. 6,130, 000, 000
c. 100,000 light years
d. 0.00001 mm
e. 0.0000010 kg
Step-by-step explanation:
Here, we want to come from the standard form to the decimal form
In doing this, we consider the power of 10 attached
If negative, we count leftwards, if positive, we count right-wards
The number of times we count is the power of 10 attached. The count means we are moving the decimal point
For numbers with out visible decimal point, it is at the back of the most right-ward number
Thus, we have these as;
a. 9 * 10^-7
= 0.0000009 m
b. 6.130 * 10^9
= 6,130, 000, 000
c. 1 * 10^5
= 100,000 light years
d. 1 * 10^-5 mm
= 0.00001 mm
e. 10^-7
= 0.0000010 kg
