<u>Answer:</u>
Standard form of a line passing through (-2, 4) and having slope of -1/7 is x + 7y = 26
<u>Solution:</u>
Given that we need to determine standard form of a line that goes through (-2 , 4) and slope of the line is -1/7
Standard form of line passing through point ( a , b ) and having slope m is given by
(y – b) = m ( x – a) --------(1)
In our case given point is ( -2 , 4 ) and slope is -1/7 that means
a = -2 , b = 4 , m = -(1/7)
On substituting given value of a , b and m is equation (1) we get
=> 7( y - 4 ) = -x – 2
=> 7y + x = -2 + 28
=> x + 7y = 26
Hence standard form of a line passing through (-2,4) and having slope of –(1/7) is x + 7y = 26
A = 113.1
so the formula for the area of a circle is
A = pi x r^2
-pi is 3.14(rounded)
-r stands for the radius of the circle which is half the diameter so for this circle your r or radius is 6 and the radius is just squared
so when you plug the numbers in the formula it is
A = 3.14 x 6^2(squared)
A = 3.14 x 36
A = 113.1
2.) Given: There are 30 students. 24 are wearing sneakers.
Work: We can figure this out by finding the exact percentage of sneaker-wearers in the class.
To find the percentage, you do 24/30. 24/30 is equal to 80%.
Answer: Joe is wrong. The percentage of students wearing sneakers is 80% and not 70%.
3.) Given: There are 40 people total. 2 women per 3 men.
Work: 2:3 women to men
If we multiply both by 10, we will get 50 people in total.
20:30 = 50
So we need to shrivel this down to 40 by taking out 5 on both sides of the ratio.
50 - 5 - 5 = 15:25 = 40
But the ratio need to be divisible by 2 because of the 2 women that are needed per 3 men. We can do this by moving over one human to the men’s side.
There are 14 women and 26 men. I didn’t use any of the strategies there listed because I don’t even remember what those are. I’m in grade 9. I would say that the ratio table works best because I just used ratios...
4.) Given: Find simplified fraction of silicon. 100%.
Work: Add all things up to find out the denominator for the fraction. They will equal 100.
So the fraction is 28/100.
We can divide this fraction by 4.
7/25
This is the simplified form.
Answer: 7/25
It would be written as 721/10. Hope this helps.
Answer:
2 and 1/4 liters
Step-by-step explanation:
add them together
