Answer:
hi
Step-by-step explanation:
Answer
Slope between two given points (1,3) and (2,7) is
m=
2−1
7−3
=4
Then perpendicular slope is m
1
=
4
−1
The line equation with this slope is given by
y=
4
−1
x+c.......(1)
Now, the above line passes through the point (−4,−3)
⇒−3=
4
−1
×(−4)+c
⇒c=−4
Therefore required line is 4y+x+16=0 (Substitute
′
c
′
in (1) and simplify)
your answer is 0.00011596
First to Answer:
The slope is 0.1998. The number of calories is increased by 0.1998 for each 1 milligram increase in sodium.
I remember taking this test and getting this answer! Let me know if help with any of the other questions!
The answers to each of the given problems are;
1) Sum of two smallest integers = 23
2) 3x + 6
3) 7.5 m/s²
<h3>How to find the sum of consecutive Integers?</h3>
1) We are told that sum of 4 consecutive integers is increased by 20 and equals 70. Thus, we have;
x + (x + 1) + (x + 2) + (x + 3) + 20 = 70
4x + 26 = 70
4x = 70 - 26
4x = 44
x = 44/4
x = 11
Thus, sum of two smallest integers = 11 + 11 + 1 = 23
2) Let the consecutive odd numbers be;
x, (x + 2) and (x + 4)
Sum of these consecutive odd numbers is;
x + x + 2 + x + 4 = 3x + 6
3) We are given the equation to find the acceleration as;
(v_final)² - (v_initial)² = 2ad
We are given;
v_final = 40 m/s
v_initial = 10 m/s
d = 100 m
Thus;
40² - 10² = 2a(100)
1500 = 200a
a = 1500/200
a = 7.5 m/s²
Read more about sum of integers at; brainly.com/question/17695139
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