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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To write this equation, you need use the formula y=mx+b.
m represents the slope and b represents the y intercept.
The y intercept is the point where the line touches the y axis. In this case, the y-intercept is 1.
The slope is just rise over run from one coordinate to another. The slope is 2/-1 which could be simplified as -2. The slope just means that we are going up 2 and left 1 to get to a new coordinate.
The equation is y=-2x+1
Have a good day! :)
Answer: (-2,-5)
Step-by-step explanation:
The rotation rule for rotating a figure about 
is given by :-
, where (x,y) is the coordinates for pre-image and (y,-x) is the coordinates for image. (1)
Given : The coordinates of LMN are L (4,5), M (5,-2), and N (0,0).
If the triangle is rotated 270° about point N
Then, the coordinates of M , will be :
(Using the rule described in (1))
Hence, the coordinates of M after rotated 270° about point N=(-2,-5).
Answer:
x - intercept = 6
y - intercept = 3
Step-by-step explanation:
To find x - intercept, substitute y = 0 in the equation and solve for x.
x = 6
Similarly, To find y - intercept, substitute x = 0 in the equation and solve for y.
y = 3
