Which of the following gives all of the sets that contain squrt 9
1 answer:
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Answer:
The linear equation that gives the rule for this table will be:
- y=x+25
Step-by-step explanation:
Taking two points from the table
- (2, 27)
- (3, 28)
Finding the slope between two points
We know the slope-intercept form of linear equation is
where m is the slope and b is the y-intercept
substituting the point (2, 27) and m=1 in the slope-intercept form to determine the y-intercept 'b'
27 = 1(2)+b
27-2 = b
b = 25
Now, substituting m=1 and b=25 in the slope-intercept form to determine the linear equation
y=mx+b
y=1(x)+25
y=x+25
Thus, the linear equation that gives the rule for this table will be:
- y=x+25
Answer:
x = 1/4
Step-by-step explanation:
16 = 2 can be written as
= 2
()^x = 2^1
if bases are the same we can create this equation: 4x = 1
x = 1/4
A) The area of a rectangle is A = lw, where l=length of the rectangle and w=width of the rectangle. You know the length of the gift shop, l = 20x + 24. You know the width, w = 36x - 20. Plug those expressions into the equation for area of a rectangle and multiply/foil:
The expression for the area of the gift shop is
.
B) The equation for the perimeter of the gift shop is P = 2(l+w), where l = length and w = width. Plug your values for l and w into this equation:
The expression for the perimeter of the gift shop is 112x + 8
C) Since you know the perimeter is going to be 176 ft, that means P = 176. Plug that into the equation you found in part B, P = 112x + 8, and solve for x.
Once you solve for x, you can plug x into your equations for width and length to find the dimensions. x = 1.5, so:
1) L<span>ength = 20x+24 feet
</span>Length = 20(1.5) + 24 feet = 54 feet
2) Width = <span>36x-20 feet
Width = 36(1.5)-20 feet = 34 feet
Your dimensions are 54 feet (length) by 34 feet (width).</span>
The expression for the area of the gift shop is
B) The equation for the perimeter of the gift shop is P = 2(l+w), where l = length and w = width. Plug your values for l and w into this equation:
The expression for the perimeter of the gift shop is 112x + 8
C) Since you know the perimeter is going to be 176 ft, that means P = 176. Plug that into the equation you found in part B, P = 112x + 8, and solve for x.
Once you solve for x, you can plug x into your equations for width and length to find the dimensions. x = 1.5, so:
1) L<span>ength = 20x+24 feet
</span>Length = 20(1.5) + 24 feet = 54 feet
2) Width = <span>36x-20 feet
Width = 36(1.5)-20 feet = 34 feet
Your dimensions are 54 feet (length) by 34 feet (width).</span>