Answer: a. 1734 b. 477000
Step-by-step explanation:
We know that,
Distributive property : a(b+c) = ab+ac
a. 17 x 102
= 17 (100+2)
= 17 x 100 + 17 x 2 [Distributive property ]
= 1700+34
= 1734
b. 477×1035 -477×35
= 477 (1035-35) [Distributive property ]
= 477 (1000)
= 477000
Answer:
The slope of the line that contains diagonal OE will be = -3/2
Step-by-step explanation:
We know the slope-intercept form of the line equation
y = mx+b
Where m is the slope and b is the y-intercept
Given the equation of the line that contains diagonal HM is y = 2/3 x + 7
y = 2/3 x + 7
comparing the equation with the slope-intercept form of the line equation
y = mx+b
Thus, slope = m = 2/3
- We know that the diagonals are perpendicular bisectors of each other.
As we have to determine the slope of the line that contains diagonal OE.
As the slope of the line that contains diagonal HM = 2/3
We also know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line.
Therefore, the slope of the line that contains diagonal
OE will be = -1/m = -1/(2/3) = -3/2
Hence, the slope of the line that contains diagonal OE will be = -3/2
Answer:
56
Step-by-step explanation:
We know that every triangle no matter will equal 180 degrees. So we will make an algebreic expression.
2x+8+60=180
When doing algebreic expression we want to simply as much as possible to find our answer. First we will do 60-180. Since the expression is adding 60 we want to do the opposite and subtract is by 60 on both sides. SO now we have 2x+8=120. We do the same thing with 8. Subtract it on both sides since its adding in the expression. Now we have 2x=112. FInally, we will divide by two on both sides since its multiplying on the other side of the equation. So now we are left with x=56.
Answer:
x = 4.
Step-by-step explanation:
log(x + 6)- log(x - 3) = 1
Using the law log a - log b = log a/b:
log (x + 6)/ (x - 3) = 1
Removing logs:
(x + 6)/ (x - 3) = 10
x+ 6 = 10x - 30
9x = 36
x = 4 (answer).
