Answer:
Step-by-step explanation:
Okay, so I think I know what the equations are, but I might have misinterpreted them because of the syntax- I think when you ask a question you can use the symbols tool to input it in a more clear way, otherwise you can use parentheses and such.
Problem 1:
(x²)/4 +y²= 1
y= x+1
*substitute for y*
Now we have a one-variable equation we can solve-
x²/4 + (x+1)² = 1
x²/4 + (x+1)(x+1)= 1
x²/4 + x²+2x+1= 1
*subtract 1 from both sides to set equal to 0*
x²/4 +x^2+2x=0
x²/4 can also be 1/4 * x²
1/4 * x² +1*x² +2x = 0
*combine like terms*
5/4 * x^2+2x+ 0 =0
now, you can use the quadratic equation to solve for x
a= 5/4
b= 2
c=0
the syntax on this will be rough, but I'll do my best...
x= (-b ± √(b²-4ac))/(2a)
x= (-2 ±√(2²-4*(5/4)*(0))/(2*(5/4))
x= (-2 ±√(4-0))/(2.5)
x= (-2±2)/2.5
x will have 2 answers because of ±
x= 0 or x= 1.6
now plug that back into one of the equations and solve.
y= 0+1 = 1
y= 1.6+1= 2.6
Hopefully this explanation was enough to help you solve problem 2.
Problem 2:
x² + y² -16y +39= 0
y²- x² -9= 0
An easy way of finding the answer to your question is by using a scientific calculator. When I plugged in 6,000^10 it gave me 6.0466176x10^37. Yes the answer is in scientific notation, but if you want the answer shortened out to the nearest hundredth place the answer is 6.05.
4/15
Multiple the numerator by numerator, and denominator by denominator, then simplify
Answer:
y=4/5x+1
Step-by-step explanation:
y=mx+b
- m is the slope
- b is the y-intercept
m= 4/5
b= 1 (0,1) y-value
Equation:
y=4/5x+1
Answer: For the cirlces since I already answered the triangles
1. Area:660.519855417
Circumference:91.1061869541
2. Area: 572.555261117
Circumference:84.8230016469
3. Area:283.528736986
Circumference:59.6902604182
4. Area:1017.87601976
Circumference:113.097335529
5. Area: 63.6172512352
Circumference: 28.2743338823
6. Area:380.132711084
Circumference:69.115038379
Step-by-step explanation:
The formula for the area of a circle is π*r^2, r being the radius or the half line in the circle, and the formula for the circumference is π*r*2, or π*d, or the diameter which is the line that goes all the way through like number 5. The radius is half the diameter.
