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
Answer:
6:15
Step-by-step explanation:
We can simplify the ratio 6 : 15 by dividing both terms by the greatest common factor (GCF).
The GCC of 6 and 15 is 3
Divide both terms by 3: 6 ÷ 3 = 2 & 15 ÷ 3 = 5
Reducing to simplest form:
6 : 15 = 2 : 5
Answer:
-4 a^2 - 3 b
Step-by-step explanation:
Answer:
She started working at 9:50 am.
9:50 + 45 = 9:95 convert to where 60 minutes is a hour and you get 10:35 am.
Answer:
The measure of ∠z = 137°
Step-by-step explanation:
Here, angle 1 = 43°
To find : ∠z
Straight line Angle: The angle which measures exactly 180° and is extended by a point on a straight line is called straight angle.
According to the given figure:
∠1 + ∠z = 180 ° (STRAIGHT LINE ANGLE)
or, ∠z = 180 ° - 43° = 137°
Hence, the measure of ∠z = 137°.
