Equation :
This parabola is facing downwards and highest point of the parabola is it's vertex.
Highest point is (-2,2)
so the vertex is (-2,2)
The graph is passing through (-1,0)
Equation in vertex form is
Substitute back in Equation
the graph has two x intercepts -1 and -3
that means (x+1) and (x+3) are the factors
multiply factors to get the equation in standard form
-2x^2-8x-6=0
So P(-0.7537 < z < 1.3190) = 0.9063 - 0.2254 = 0.6809
[ Answer ]
[ Explanation ]
- System Of Equations
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- Isolate x for x + x + 10 = 10: x = 0
For y = 10
Substitute x = 0
Y = 0 + 10
0 + 10 = 10
y = 10
X = 0
Y = 10
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With the given hint to be able to answer the question above, the equation for Newton's law of cooling is as follows:
T(t) = T(s) + (T0 - Ts)e^-kt
where T(t) is the body's temperature at any given time, Ts is the temperature of the surrounding, T0 is the initial temperature, and k is constant.
Substituting the values with the given above,
T(t) = 76 + (170 - 76)*e^(-0.34)(7)
This gives us the answer,
T(t) = 84.7 degrees F
Answer:
no
Step-by-step explanation:
In ∆XYZ, we can write the ratios of the sides from shortest to longest as ...
y : z : x = 1 : 1.5 : 2 = 2 : 3 : 4
In ∆QSR, we can write the ratios of the side lengths from shortest to longest as ...
r : s : q = 0.5 : 1 : 1.5 = 1 : 2 : 3
Based on side lengths only, the triangles cannot be similar.
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<em>Additional note</em>
Even if shortest-to-longest side ratios were the same, the triangle naming is incorrect for them to be similar.
