Answer:
D, E
Step-by-step explanation:
The applicable formula is ...
s = rθ
so, for θ = 1.5, the arc length is 1.5 times the radius. The true statements are ...
D) The length of the arc defined by the angle is 1.5 times longer than the radius.
E) The ratio of arc length to radius is 1.5.
Answer:
![\mathrm{Minimum}\space\left(\frac{7}{2},\:-\frac{33}{4}\right)](https://tex.z-dn.net/?f=%5Cmathrm%7BMinimum%7D%5Cspace%5Cleft%28%5Cfrac%7B7%7D%7B2%7D%2C%5C%3A-%5Cfrac%7B33%7D%7B4%7D%5Cright%29)
Step-by-step explanation:
![y=x^2-7x+4\\\mathrm{The\:vertex\:of\:an\:up-down\:facing\:parabola\:of\:the\:form}\:y=ax^2+bx+c\:\mathrm{is}\:x_v=-\frac{b}{2a}\\\mathrm{The\:parabola\:params\:are:}\\a=1,\:b=-7,\:c=4\\x_v=-\frac{b}{2a}\\x_v=-\frac{\left(-7\right)}{2\cdot \:1}\\\mathrm{Simplify}\\x_v=\frac{7}{2}\\\mathrm{Plug\:in}\:\:x_v=\frac{7}{2}\:\mathrm{to\:find\:the}\:y_v\:\mathrm{value}\\y_v=\left(\frac{7}{2}\right)^2-7\cdot \frac{7}{2}+4\\](https://tex.z-dn.net/?f=y%3Dx%5E2-7x%2B4%5C%5C%5Cmathrm%7BThe%5C%3Avertex%5C%3Aof%5C%3Aan%5C%3Aup-down%5C%3Afacing%5C%3Aparabola%5C%3Aof%5C%3Athe%5C%3Aform%7D%5C%3Ay%3Dax%5E2%2Bbx%2Bc%5C%3A%5Cmathrm%7Bis%7D%5C%3Ax_v%3D-%5Cfrac%7Bb%7D%7B2a%7D%5C%5C%5Cmathrm%7BThe%5C%3Aparabola%5C%3Aparams%5C%3Aare%3A%7D%5C%5Ca%3D1%2C%5C%3Ab%3D-7%2C%5C%3Ac%3D4%5C%5Cx_v%3D-%5Cfrac%7Bb%7D%7B2a%7D%5C%5Cx_v%3D-%5Cfrac%7B%5Cleft%28-7%5Cright%29%7D%7B2%5Ccdot%20%5C%3A1%7D%5C%5C%5Cmathrm%7BSimplify%7D%5C%5Cx_v%3D%5Cfrac%7B7%7D%7B2%7D%5C%5C%5Cmathrm%7BPlug%5C%3Ain%7D%5C%3A%5C%3Ax_v%3D%5Cfrac%7B7%7D%7B2%7D%5C%3A%5Cmathrm%7Bto%5C%3Afind%5C%3Athe%7D%5C%3Ay_v%5C%3A%5Cmathrm%7Bvalue%7D%5C%5Cy_v%3D%5Cleft%28%5Cfrac%7B7%7D%7B2%7D%5Cright%29%5E2-7%5Ccdot%20%5Cfrac%7B7%7D%7B2%7D%2B4%5C%5C)
![\mathrm{Simplify\:}\left(\frac{7}{2}\right)^2-7\cdot \frac{7}{2}+4:\quad -\frac{33}{4}\\y_v=-\frac{33}{4}\\Therefore\:the\:parabola\:vertex\:is\\\left(\frac{7}{2},\:-\frac{33}{4}\right)\\\mathrm{If}\:a0,\:\mathrm{then\:the\:vertex\:is\:a\:minimum\:value}\\a=1\\\mathrm{Minimum}\space\left(\frac{7}{2},\:-\frac{33}{4}\right)](https://tex.z-dn.net/?f=%5Cmathrm%7BSimplify%5C%3A%7D%5Cleft%28%5Cfrac%7B7%7D%7B2%7D%5Cright%29%5E2-7%5Ccdot%20%5Cfrac%7B7%7D%7B2%7D%2B4%3A%5Cquad%20-%5Cfrac%7B33%7D%7B4%7D%5C%5Cy_v%3D-%5Cfrac%7B33%7D%7B4%7D%5C%5CTherefore%5C%3Athe%5C%3Aparabola%5C%3Avertex%5C%3Ais%5C%5C%5Cleft%28%5Cfrac%7B7%7D%7B2%7D%2C%5C%3A-%5Cfrac%7B33%7D%7B4%7D%5Cright%29%5C%5C%5Cmathrm%7BIf%7D%5C%3Aa%3C0%2C%5C%3A%5Cmathrm%7Bthen%5C%3Athe%5C%3Avertex%5C%3Ais%5C%3Aa%5C%3Amaximum%5C%3Avalue%7D%5C%5C%5Cmathrm%7BIf%7D%5C%3Aa%3E0%2C%5C%3A%5Cmathrm%7Bthen%5C%3Athe%5C%3Avertex%5C%3Ais%5C%3Aa%5C%3Aminimum%5C%3Avalue%7D%5C%5Ca%3D1%5C%5C%5Cmathrm%7BMinimum%7D%5Cspace%5Cleft%28%5Cfrac%7B7%7D%7B2%7D%2C%5C%3A-%5Cfrac%7B33%7D%7B4%7D%5Cright%29)
Answer:
5x: linear; monomial
-7: constant; monomial
x^2 + 4: quadratic, binomial
x^2 - 3x + 11: quadratic, trinomial
2x - 9: linear, binomial
Step-by-step explanation:
Name using degree: just count the highest number of variables in a single term. if it's 0, its a constant polynomial, if it's 1 it's linear, 2 quadratic, 3 cubic
Name using number of terms: just count the number of "things" added or subtracted. If there's one, it's a monomial, two: binomial, three: trinomial.
Answer:
A. Ronald
Step-by-step explanation:
Divide the years of employment by cars sold. The highest number is your answer
the domain of f(x)=9-x^2 is (-∞,∞), {x|x ∈r}