The number 6789.987 is already in rounded in thousandth
Rearrange the equation so the left side starts out as y =
5x + 3y = -4
3y = -5x - 4
y = (-5/3)x - (4/3)
the slope is in front of the x and the y-intercept iis the other number
slope is -5/3
y-interxept = -4/3
Answer:
The original triangle has sides of 18 cm, 18 cm and 10 cm
Step-by-step explanation:
Let x cm be the length of the leg of the original triangle and y cm be the length of the base of the original triangle.
1. Since the perimeter of the original triangle is 46 cm, then
x+x+y=46.
2. If it's base were lengthened by 3 cm, then it becomes y+3 cm. If each leg were shortened by 5 cm, then each leg becomes x-5 cm. All three sides became equal, then
y+3=x-5.
3. Solve the system of two equations:
Then 
The original class had 32 students. 25% of 32 is 8 and 32+8=40
Answer:
y=1/2(x-1)
Step-by-step explanation:
If x=t^2 and t>0, then t=sqrt(x).
If t=sqrt(x) or x^(1/2) and y =1-1/t, then y=1-x^(-1/2).
The x-intercept is when y=0.
So we need to solve 0=1-x^(-1/2) to find point P.
Add x^(-1/2) on both sides: x^(-1/2)=1.
Raise both sides to -2 power: x=1
So point P is (1,0).
Let's find tangent line at point (1,0).
We will need the slope so let's differentiate.
y'=0+1/2x^(-3/2)
y'=1/(2x^(3/2))
The slope at x=1 is y'=1/(2[1]^(3/2))=1/(2×1)=1/2.
Recall point-slope form is y-y1=m(x-x1).
So our line we are looking for is y-0=1/2(x-1)
Let's simplify left hand side y=1/2(x-1)
