To solve this, we simply need to remember our rules about order of operations. They tell us that first, we should distribute the 2 with the rest of the parentheses.
5-2(x-3)
5-2x+6
Next, we should combine our like-terms.
5-2x+6
11-2x
Seeing as we do not know the value of the variable, the simplest form of the expression is 11-2x.
Answer:
m = -3
Step-by-step explanation:
The formula to find the slope of the line is :
slope = m = 
Given that the two coordinates of the line are :
( -1 , - 7 ) ⇒ ( x₁ , y₁ )
( 1 , -13 ) ⇒ ( x₂ , y₂ )
<u>Let us solve now.</u>
m = ( y₁ - y₂ ) ÷ ( x₁ - x₂ )
m = ( -7 - ( -13)) ÷ ( -1 - 1 )
m = ( -7 + 13 ) ÷ ( -2 )
m = 6 ÷ -2
<u>m = -3 </u>
Answer: correct trigonometric ratios
SinB, tanA and cos A.
Step-by-step explanation:
The right triangle has two sides 5 and 12 , by Pythagoras it's hypotenuse is 13.
Tan B=5/12,
Sin A =12/13
The volume of a box with dimensions x by x by x is

.
So if we are given the volume V of a cube-shaped box, the side length of thit is
![\sqrt[3]{V}](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7BV%7D%20)
.
So we calculate the cubic roots of the volumes we have, and we add their heights.
To calculate the cubic root of 729, we can factorize it, and group the perfect cubes together, as follows:


, which we recognize as

so

similarly 1,331 can be found to be

.
Thus we have 2 boxes with side length equal to 11 m and one with side length equal to 9 m.
Answer: h= 11+11+9 = 31 (meters)
Answer:
Step-by-step explanation: Round to the nearest whole number. In order to find the standard deviation, we first have to calculate the mean (average) of the numbers. To get this we add all the numbers together and then divide by 12 since there are 12 numbers. The mean = 782. Next, we take each number and subtract the mean, taking the result and squaring it.