The equation of a line that has a slope of 1/2 and passes through point (2, -3) is 2y - x = -8
The standard equation of a line in slope-intercept form is expressed as:
y = mx + b where:
Given the following:
Slope = 1/2
(x0, y0) = (2, -3)
Substitute the given parameters into the formula above:
Hene the equation of a line that has a slope of 1/2 and passes through point (2, -3) is 2y - x = -8
Learn more here: brainly.com/question/21536974
So for this, I will be making the equation using the slope-intercept form, which is y=mx+b (m = slope, b = y-intercept).
Since we have the slope, 1/2, we can just plug in (2,-3) into the equation and solve for b as such:
Putting everything together, our equation is y = 1/2x - 4.
4
B.
14
C.
8
D.
12
Answer:
3.
Step-by-step explanation:
This is a geometric series so the sum is:
a1 * r^n - 1 / (r - 1)
= 1 * (2^101 -1) / (2-1)
= 2^101 - 1.
Find the remainder when 2^101 is divided by 7:
Note that 101 = 14*7 + 3 so
2^101 = 2^(7*14 + 3) = 2^3 * (2^14)^7 = 8 * (2^14)^7.
By Fermat's Little Theorem (2^14) ^ 7 = 2^14 mod 7 = 4^7 mod 7.
So 2^101 mod 7 = (8 * 4^7) mod 7
= (8 * 4) mod 7
= 32 mod 7
= 4 = the remainder when 2^101 is divided by 7.
So the remainder when 2^101- 1 is divided by 7 is 4 - 1 = 3..
12 and 27
14 and 21
15 and 32
it is 1`2.25 and 15.32
Answer:
Ed.genuity is A&D
Step-by-step explanation:
12 & 25
15 & 32
Answer:
52
Step-by-step explanation:
only 4 students went in the cars. So 472-4=468.
You have 9 buses.
So 468÷9=52