answersLogoWhite

0


Best Answer

-2

User Avatar

Drew Tremblay

Lvl 10
3y ago
This answer is:
User Avatar
More answers
User Avatar

Wiki User

13y ago

Equations: 3-x-5x2-5x = x+z

Rearrange into a quadratic equation: 5x2+2x+(-3+z) = 0

Use the discriminant to find the value of z:-

22-4*5*(-3+z) = 0

64-20z = 0

-20z = -64

z = 3.2

This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: What is the value of z when the straight line equation of y equals x plus z is tangent to the curve of y equals 3 -x -5x squared?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Related questions

What is the value of k when the straight y equals 3x-1 is a tangent to the curve x squared plus y squared equals k?

2


Is x plus y2 equals 25 a linear equation?

No, not if the y is squared. When graphed the equation will not form a straight line.


Does the equation a squared plus b squared equals c squared classify as a quadratic equation?

no


How do you prove that the line y equals x-4 is tangent to the curve of x squared plus y squared equals 8?

equation 1: y = x-4 => y2 = x2-8x+16 when both sides are squared equation 2: x2+y2 = 8 Substitute equation 1 into equation 2: x2+x2-8x+16 = 8 => 2x2-8x+8 = 0 If the discriminant of the above quadratic equation is zero then this is proof that the line is tangent to the curve: The discriminant: b2-4ac = (-8)2-4*2*8 = 0 Therefore the discriminant is equal to zero thus proving that the line is tangent to the curve.


What is the radius equation inside the circle x squared plus y squared -8x plus 4y equals 30 that meets the tangent line y equals x plus 4 on the Cartesian plane showing work?

Circle equation: x^2 +y^2 -8x +4y = 30 Tangent line equation: y = x+4 Centre of circle: (4, -2) Slope of radius: -1 Radius equation: y--2 = -1(x-4) => y = -x+2 Note that this proves that tangent of a circle is always at right angles to its radius


At what point is the line of y equals x -4 tangent to the curve of x squared plus y squared equals 8?

(2, -2)


What is the value of k when y equals 3x plus 1 and is a line tangent to the curve of x squared plus y squared equals k?

k = 0.1


How do you solve secant squared divided by tangent?

In trig, the secant squared divided by the tangent equals the hypotenuse squared divided by the product of the opposite and adjacent sides of the triangle.Details: secant = hypotenuse/adjacent (H/A) and tangent = opposite/adjacent (A/O);Then secant2/tangent = (H2/A2)/(O/A) = H2/A2 x A/O = H2/AO.


What is the equation of the tangent line that touches the circle x squared plus y squared -8x -16y -209 equals 0 at a coordinate of 21 and 8?

Circle equation: x^2 +y^2 -8x -16y -209 = 0 Completing the squares: (x-4)^2 +(y-8)^2 = 289 Centre of circle: (4, 8) Radius of circle 17 Slope of radius: 0 Perpendicular tangent slope: 0 Tangent point of contact: (21, 8) Tangent equation: x = 21 passing through (21, 0)


How do you prove that the straight line y equals x plus c is a tangent to the curve x squared plus y squared equals 4 when c squared equals 8?

The general form of a line tangent to a circle is:y=mx+a(1+m2 )1/2. where "a" is the radius of the circle. Here circle is x2 + y2=4, so radius=a=2. nowc2=a2(1+m2)=8 (given)or 8=4(1+m2)2=1+m2 orm2=1 orm=1. so equation becomesy=mx+c ory=x+cImproved Answer:Equation 1: y = x+square root of 8 => y2 = x2+square root of 32x+8 when both sides are squared.Equation 2: y2 = 4-x2By definition:x2+the square root of 32x+8 = 4-x2 => 2x2+the square root of 32x+4 = 0If the discriminant b2-4ac of the above quadratic equation is equal to zero then this is proof that the straight line is tangent to the curve:b2-4ac = the square root of 322-4*2*4 = 0Therefore the straight line is a tangent to the curve because the discriminant of the quadratic equation equals zero.


What is the equation for a circle with its center at the origin and a tangent whose equation is y equals 7?

x2 + y2 = 49


How do you find the length of a leg on a right triangle when one leg and the slope of the hypotenuse is given?

Use tangent. Your equation will be tan(slope of hypotenuse) = opposite side / adjacent side. it's easier if you just do A squared plus b squared equals c squared. Then subtitute the numbers gived in.