Lets w is width
length = 2w - 3
w(2w - 3) = 14
2w^2 - 3w = 14
2w^2 - 3w - 14 = 0
(2w - 7)(w + 2) = 0
2w - 7 = 0
w = 7/2 = 3.5
l = 2w -3 = 2(3.5) - 3 = 4
answer:
width = 3.5
length = 4
Answer:
the corresponding length can be derived from the actual length by dividing the actual length by 15.
Corresponding length = actual length ÷ 15
x1 = 1/15 × x = x/15
y1 = 1/15 × y = y/15
z1 = 1/15 × z = z/15
Step-by-step explanation:
Let x,y,z represent the actual dimensions of his room.
And x1,y1,z1 represent the corresponding dimensions of his room used in the scale drawing.
Given;
Scale = 1:15
In a scale drawing, the corresponding dimensions uses for the drawing can be derived by multiplying the actual dimensions by the ratio.
Ratio = 1/15
Corresponding dimension = 1/15 × actual dimensions
x1 = 1/15 × x = x/15
y1 = 1/15 × y = y/15
z1 = 1/15 × z = z/15
Therefore the corresponding length can be derived from the actual length by dividing the actual length by 15.
Corresponding length = actual length ÷ 15
Answer:
9(9a-2)
Step-by-step explanation:
81a + (-18)
= 81a - 18
= 9 (9a - 2)
<h2>WE WILL SOLVE THIS EQUATION USING PEMDAS.</h2>
<h3>PARENTHESES, EXPONENTS, MULTIPLICATION, ADDITION, AND SUBTRACTION.</h3>
Answer:
larger number=29;smaller number=18
Step-by-step explanation:
let assume the two numbers are X and Y
where X is the larger number and Y is the smaller number.
From the question the larger number is 7 less than twice the smaller number. in mathematical terms this can be denoted as;
X=2Y - 7→→→→→→ equation 1
Also it was stated in the question that the sum of the two numbers is 47 which can be denoted as;
X + Y = 47→→→→→→ equation 2
Now from equation 1, X is mathematically expressed as 2Y - 7. Having known this we substitute X as 2Y - 7 into equation 2 then we have 2Y - 7 + Y = 47.
collecting like terms we have
2Y + Y = 47 + 7
solving arithmetically we have;
3Y = 54
divide both sides by 3 we have;
Y = 18.
Now if you recall from equation 1;
X = 2Y - 7;
since we now know Y as 18 we substitute Y as 18 in equation one then we have;
X = 2(18) - 7;
X =36 - 7
X = 29.