Answer:n= 1/3d - 2/3m
Step-by-step explanation:
d=2m+3n
Step 1: Flip the equation.
2m+3n=d
Step 2: Add -2m to both sides.
2m+3n+−2m=d+−2m
3n=d−2m
Step 3: Divide both sides by 3.
3n/3 = d-2m/3
Therefore
n= 1/3d - 2/3m
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Answer:
n = d - 2m
3*
Step-by-step explanation:
First we want to get n alone on one side, so we should subtract 2m from both side;
d = 2m + 3n
3n = d - 2m
Now to get n by itself, we need to divide by 3 from both sides;
3n = d - 2m
n = d - 2m
3*
*Pretend there is a fraction bar between d - 2m and 3
Step-by-step explanation:
B is 5, you can solve this by first finding the value of a, which is 2, and then plug it into the other equation. 8+2=10 so we must also make the other side 10. We then do 10-5=5, 5 is the value of b
Answer:
x ≥ 1 (how to graph is listed below)
Step-by-step explanation:
To find where we need to plot the line, we first need to solve the inequality for x:
-2x - 3 ≤ -5
(Add three to both sides)
-2x ≤ -2
(Divide both sides by -2, but we can't forget that whenever we multiple or divide by a negative number, the sign flips!)
x ≥ 1
To graph this on the number line, you would put a dot on the 1 and fill it in completely (you fill in the dot for a "___ and equal to" sign. ex. ≥, ≤)
Then you would make an arrow from the dot to the right on the number line (this is because x must be greater than or equal to 1, so it must be facing in that direction)
Answer: -13.9
This value is approximate.
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Explanation:
This angle is in quadrant Q2, which is where x is negative and y is positive.
The angle shown of 65 degrees is added to the 90 degree angle to the right resulting in 65+90 = 155 degrees overall. See diagram below.
The x component of the vector is found by the formula
x = r*cos(theta)
we will plug in r = 15.3 as the magnitude of the vector and theta = 155 as the angle
x = 15.3*cos(155)
x = -13.8665 approximately
x = -13.9 rounding to one decimal place (as 15.3 and 65.0 are both rounded to one decimal place)
<h3>
Answer: 2</h3>
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Explanation:
x = number of years
y = height in feet
The equation for the first tree is
y = x+3
The slope is 1 to represent a rate of 1 ft per year of growth. The y intercept of 3 is the starting height. Refer to y = mx+b form.
For the second tree, the equation is:
y = 0.5x+4
This time we have a slope of 0.5 and a y intercept of 4.
Apply substitution to solve for x
y = x+3
0.5x+4 = x+3
0.5x-x = 3-4
-0.5x = -1
x = -1/(-0.5)
x = 2
The trees will be the same height in <u> 2 </u> years.
What will that height be? Plug x = 2 into either equation to find y. We should get the same y value.
y = x+3
y = 2+3
y = 5
Or we could say
y = 0.5x+4
y = 0.5*2+4
y = 1+4
y = 5
We've shown that both equations lead to y = 5 when x = 2. This means that at the 2 year mark, both trees are 5 feet tall. This helps confirm we have the correct x value.
