Answer: 6 inches long and 4 inches wide
Step-by-step explanation: The dimensions of the actual crate are 20 times those on Jacob's drawing. The dimensions on the builder's drawing are 1/10 of those, so (1/10)(20) = 2 times the dimensions on Jacob's drawing.
hope this helps
1. ab= 6 x 3 = 18 1) = 18
2. c + 4 = 2 + 4 = 6 2) = 6
3. a/b = 6/3 = 2 3) = 2
4. a - b - 6 - 3 = 3 4) = 3
5. 2c = 2(2) = 4 5) = 4
6. b/3 = 3/3 = 1 6) = 1
7. a - 1 = 6 - 1 = 5 7) = 5
8. 6 + c= 6 + 2 = 8 8) = 8
Answer:
<h2><em>
y = 8, ST = 31 and RT = 81</em></h2>
Step-by-step explanation:
Given RS = 6y+2, ST=3y +7, and RT=13y-23, the vector formula is true for the equations given; RS+ST = RT
Om substuting the expression into the formula;
6y+2+3y +7 = 13y - 23
collect the like terms
6y+3y-13y+2+7+23 = 0
-4y+32 = 0
Subtract 32 from both sides
-4y+32-32 = 0-32
-4y = -32
y = -32/-4
y = 8
Since ST = 3y+7. we will substitute y = 8 into the exprrssion to get ST
ST = 3(8)+7
ST = 24+7
ST = 31
Similarly,
RT = 13y-23
RT = 13(8)-23
RT = 104-23
RT = 81
<em>Hence y = 8, ST = 31 and RT = 81</em>
Answer:
The slope of the line m = 1
The equation of the straight line x -y -7=0
Step-by-step explanation:
<u><em>Explanation:-</em></u>
In the given graph
The points are ( 7,0) and ( 0, -7)
The slope of the line
The equation of the straight line passing through the point (7,0) and slope m=1
y - y₁ = m (x - x₁)
y - 0 = 1( x-7)
y = x -7
x - y -7=0
<u><em>Final answer:-</em></u>
The slope of the line m = 1
The equation of the straight line x -y -7=0
<u><em></em></u>
Use PEMDAS:
P arenthesis
E xponents
M ultiplication
D ivision
A dd
S ubstract
Paranthesis and Exponents
(20 / 2^2 * 5 / 5) = 5
Multiplication
5*8= 40
Division
10 / 40 = 0.25
Subtraction
0.25 - 2 = −1.75
Therefore,
The answer is -1.75
