Answer:
Step-by-step explanation:
(x-4) (x+10) ⇒ (x+a)(x+b)=x²+(a+b)x+ab
a=-4 , b=10
x²+(-4+10)x+-4(10)
x²+6x-40
(3x+4) (3x +5)
3(x+4/3) *3(x+5/3) ⇒ identity : (x+a)(x+b)=x²+(a+b)x+ab
a=4/3 b=5/3
3*3=9
9[x²+(4/3 +5/3)x+4/3(5/3)]
9[x²+9/3 x+20/9]
9x²+27x+20
(-3a +5b +4c)^2 ⇒
suitable identity is (a+b+c)²= a² + b² + c² + 2ab + 2bc + 2ca
a=-3a , b=5b , c=4c
9a²+25b²+16c²- 30ab +40bc - 24ca
Answer:
Step-by-step explanation:
We have been given that human body temperatures have a mean of 98.20° F and a standard deviation of 0.62°. Sally's temperature can be described by z = -1.5.
To find Sally's temperature we will use z-score formula.
, where 
= Mean, 
= Standard deviation.
Let us substitute our given values in z-score formula.
Multiply 0.62 to both sides of equation.
Add 98.20 to both sides of equation.
Therefore, Sally's temperature will be 97.27 degrees Fahrenheit.
Answer:
No
Step-by-step explanation:
We can plug in the ordered pair (6,-1) into the equation. Remember that 6 is the x coordinate therefore we plug it in for x and that -1 is the y coordinate so we should plug it in for y.
6x+3y=6(6)+3(-1)=36-3=33
Since 33 is not equivalent to 15, (6, -1) is not a solution to the equation.
Answer:
Step-by-step explanation:
A=LW, given A=20, W=5
5L=20
L=4m
This year the length will be 3L=3(4)=12m
and W this year will be 2W=2(5)=10m
So the new garden will be 12m by 10m (with an area of 12(10)=120m^2)
Answer:
I think total area=36
Step-by-step explanation:
By finding ar. of all 4 triangles separately by the formula 1/2×base×height
