Length of missing leg = 12 km
Using Pythagoras theorem
a² = 15² - 9²
a = √ 225 - 49
a = √144
a = 12 km
HOPE IT HELPS..
Answer:
x = -1.32
Step-by-step explanation:
I expect '--' means equals to '=' in your question
4(10x+6)--10(9x+9)
4(10x+6)=10(9x+9)
40x +24 = 90x +90
40x - 90x = 90 - 24
-50x = 66
x = -66/50
x = -1.32
Answer:
f(x)=-18x^2
Step-by-step explanation:
Given:
1+Integral(f(t)/t^6, t=a..x)=6x^-3
Let's get rid of integral by differentiating both sides.
Using fundamental of calculus and power rule(integration):
0+f(x)/x^6=-18x^-4
Additive Identity property applied:
f(x)/x^6=-18x^-4
Multiply both sides by x^6:
f(x)=-18x^-4×x^6
Power rule (exponents) applied"
f(x)=-18x^2
Check:
1+Integral(-18t^2/t^6, t=a..x)=6x^-3
1+Integral(-18t^-4, t=a..x)=6x^-3
1+(-18t^-3/-3, t=a..x)=6x^-3
1+(6t^-3, t=a..x)=6x^-3
That looks great since those powers are the same on both side after integration.
Plug in limits:
1+(6x^-3-6a^-3)=6x^-3
We need 1-6a^-3=0 so that the equation holds true for all x.
Subtract 1 on both sides:
-6a^-3=-1
Divide both sides by-6:
a^-3=1/6
Raise both sides to -1/3 power:
a=(1/6)^(-1/3)
Negative exponent just refers to reciprocal of our base:
a=6^(1/3)
Answer:
The equation is:
y= -2x + 3
Step-by-step explanation:
There are two ways to solve this:
You could do very long algebra but you could also just plug in your information and make life easy for yourself.
Start of by plugging in your slope into the equation. (due to y=mx+b, m= slope=-2)
y= -2x + _
Then plug in the co-ordinates give.
(1) = -2(1) + z
Then solve for z
1 = -2 +z
+2 +2
z= 3
Then plug all your information in to get
y= -2x +3
Answer:
WHAT YOUR ZODIAC IM A SAGITTARIUS AND IM COOL WITH ARIES
GEMINI
LEO
LIBRA
AQUARIUS
Step-by-step explanation:
