All categories

2 years ago

The graph plots for equations, a,b,c, and d: which pair of equations have (4,8) as its solution?

Mathematics

1 answer:

nataly862011 [7]2 years ago

4 0

D and B

Explanation:

when you look at that point two lines pass through it and those two lines that pass through it are b and d.

You might be interested in

Evaluate a-b²c2 for a = 2, b = 3, and c = 4.

katrin2010 [14]

Answer: -70

Step-by-step explanation: 2-3^2x4x2

4 0

2 years ago

Read 2 more answers

find the coordinates of the point P on the parabola y=1-x^2 with domain 0≤x≤1 that minimize the area of the triangle enclosed by

coldgirl [10]

Let point P be with coordinates $(x_0,y_0).$ Find the equation of the tangent line.

1. If $y=1-x^2,$ then $y'=-2x.$

2. The equation of the tangent line at point P is

$y-y_0=-2x_0(x-x_0).$

Find x-intercept and y-intercept of this line:

when x=0, then $y=y_0+2x_0^2;$
when y=0, then $x=\dfrac{y_0}{2x_0}+x_0=\dfrac{y_0+2x_0^2}{2x_0}.$

The area of the triangle enclosed by the tangent line at P, the x-axis, and y-axis is

$A=\dfrac{1}{2}\cdot (2x_0^2+y_0)\cdot \left(\dfrac{y_0+2x_0^2}{2x_0}\right)=\dfrac{(y_0+2x_0^2)^2}{4x_0}.$

Since point P is on the parabola, then $y_0=1-x_0^2$ and

$A=\dfrac{(1-x_0^2+2x_0^2)^2}{4x_0}=\dfrac{(1+x_0^2)^2}{4x_0}.$

Find the derivative A':

$A'=\dfrac{2(1+x_0^2)\cdot 2x_0\cdot 4x_0-4(1+x_0^2)^2}{16x_0^2}=\dfrac{12x_0^4+8x_0^2-4}{16x_0^2}.$

Equate this derivative to 0, then

$12x_0^4+8x_0^2-4=0,\\ \\3x_0^4+2x_0^2-1=0,\\ \\D=2^2-4\cdot 3\cdot (-1)=16,\ \sqrt{D}=4,\\ \\x_0^2_{1,2}=\dfrac{-2\pm4}{6}=-1,\dfrac{1}{3},\\ \\x_0^2=\dfrac{1}{3}\Rightarrow x_0_{1,2}=\pm\dfrac{1}{\sqrt{3}}.$

And

$y_0=1-\left(\pm\dfrac{1}{\sqrt{3}}\right)^2=\dfrac{2}{3}.$

Answer: two points: $P_1\left(-\dfrac{1}{\sqrt{3}},\dfrac{2}{3}\right), P_2\left(\dfrac{1}{\sqrt{3}},\dfrac{2}{3}\right).$

6 0

2 years ago

Which is the value of this expression when a = 5 and k = negative 2?

solmaris [256]

Answer:

bawo

wapd ko kahibaw Unsay answer

7 0

2 years ago

Read 2 more answers

-36/(-6) find the sum or difference

Lady_Fox [76]

Hey!

-36 divided -6 is 6.........

4 0

2 years ago

A toddler crawed 2 yards , stopped then continued to crawl 8 more feet how manu feet did he travel in total ?

Brrunno [24]

Alright, so normally you would just add, but the units here are different. A yard had three feet, so 2 yards have 6 feet in total. Add six to 8 and you have your final answer of 14 feet.

4 0

2 years ago