Its [c] because all the other ones have a [y] but [c] does not have one at all
In both the figures we have a Right Angled Triangle.
Two sides of the right angled triangles are given and we are to find the Third side. This can be done using the Pythagoras Theorem, which states:
Hypotenuse² = Base² + Perpendicular²
For 1st figure, we have
Base = 21
Perpendicular = 20
So,
Hypotenuse² = 20² + 21² = 841
⇒
Hypotenuse = 29 (1st option is correct)
For 2nd Image, we have
Base= 6
Hypotenuse = 10
So, we can write:
10² = 6² + Perpendicular²
Perpendicular² = 64
⇒
Perpendicular = 8 (Option Fourth)
Answer:
Option C is correct.
(1, 4)
Step-by-step explanation:
A system of equation is given :
2x + 3y =12 .....[1]
4x + 2y =10 .....[2]
Multiply equation [1] by 2 both sides we get;
Using distributive property i,e 
4x + 6y = 24 .....[3]
Subtract equation [2] from [3] to eliminate x we get;
4x + 6y - 4x - 2y= 24 - 10
Combine like terms;
4y = 14
Divide both sides by 4 we get;
y = 3.5
Substitute the value of y in equation [1] we have;
2x + 3(3.5) =12
2x + 10.5 = 12
or
2x = 12 -10.5
2x = 1.5
Divide both sides by 2 we get;
x = 0.75
Solution = (0.75 , 3.5)
Best estimate solution = (1, 4)
Therefore, the best estimate solution of the given system of equation is, (1, 4)
Answer:
y=-5x+3
Step-by-step explanation:
Answer:
y = 4 or y = 6
Step-by-step explanation:
2log4y - log4 (5y - 12) = 1/2
2log_4(y) - log_4(5y-12) = log_4(2) apply law of logarithms
log_4(y^2) + log_4(1/(5y-12)) = log_4(/2) apply law of logarithms
log_4(y^2/(5y-12)) = log_4(2) remove logarithm
y^2/(5y-12) = 2 cross multiply
y^2 = 10y-24 rearrange and factor
y^2 - 10y + 24 = 0
(y-4)(y-6) = 0
y= 4 or y=6
