Answer:x=2, y=3
Step-by-step explanation:
solving this equation simultaneously
-9x - 2y=-12.............(1)
2x + 5y=-11.. ...........(2)
Using elimination method
Multiply equation 2 by 2 and equation 1 by 5
-45x -10y= -60...........(3)
4x + 10y=-22...............(4)
Subtracting equation 2 from 1
-41x + 0=-82
41x=82
x=82/41
X=2
To find y put x in equation 1
-9x - 2y= -12
-9(2)-2y=-12
-18-2y=-12
-2y=-12+18
-2y=6
Y= 6/2
Y=3
X=2, Y=3
1) Given dy / dx = x^2 + 4 = y is the function whose derivative is x^2 + 4.
2) y = x^3 / 3 + 4x + constant
Prove d y / dx = 3x^2 / 3 + 4 + 0 = x^2 + 4
Answer: x^3 / 3 + 4x + C
Answer: The answer is: 13,428,256. Hope this helps!!
Step-by-step explanation:
Answer: a > 4
<u>Step-by-step explanation:</u>
-5 + a > -1
<u>+5 </u> <u>+5 </u>
a > 4
Graph: 4 o-----------→
Interval Notation: (4, ∞)
Answer:
m∠QPR = 35° m∠QPM =40° m∠PRS = 30°
Step-by-step explanation:
ΔPRQ is a right triangle with right angle at R. So m∠QPR = 90 - 55 = 35
ΔQPM is a right triangle with right angle at M. So m∠QPM = 90 - 40 = 40
Arc RQ = 2(35) = 70 and arc SR = 2(25) = 50.
So arc PS = 180 - (arc RQ + arc SR) = 180 - (70 + 50) = 180 - 120 = 60
Now arc PS is the intercepted arc for ∠PRS.
Therefore, m∠PRS = 60/2 = 30
I used the fact that an inscribed angle has a measure 1/2 the measure of the intercepted arc several times. Also, I used the fact that the acute angles of a right triangle are complementary. And, finally I used the fact that an inscribed angle in a semicircle is a right angle.
I hope this helped.
