Remark
This is a very interesting question. Draw a line from the origin to where the upper right vertex of the square touches the line. That line has the property that the its equation is y = x. So the "solution" to the point of intersection is the solution of the two equations.
y = x (1)
3x + 4y = 12 (2)
Put x in for y in equation 2
3x + 4x = 12
7x = 12
x = 12/7
x = 1.714
y = 1.714
Problem A
<em><u>x intercept</u></em>
The x intercept occurs when y = 0
3x + 4(0) = 12
3x = 12 Divide by 3
x = 12/3
x = 4
the x intercept = (4,0)
<em><u>y intercept</u></em>
The y intercept occurs when x =0
3(0) + 4y = 12
4y = 12
y = 12/4
y = 3
y intercept = (0,3)
Problem B
x and y both equal 1.714 so they are also the length of the square's side.
Problem C
See solution above. x =y is the key fact.
x = y = 1.714
Answer:
23/100 or 23/10
Step-by-step explanation:
2.3/1
(2.3 x 10) / (1 x 10) =23/10
find lcm (lowest common multiple) for 23 and 10
1 is the lcm for 23 and 10
23/10 is a simplest fraction for the decimal point number 2.3
Answer:
Step-by-step explanation:
D∩L={f}
D∪L={a,f,g,j,k}
Answer:
1370
Step-by-step explanation:
<h3>Given</h3>
- AP with d= 7 and a₂₂ = 149
<h3>To find</h3>
<h3>Solution</h3>
<u>First, let's get the value of the first term:</u>
- aₙ = a + (n-1)d
- a₂₂ = a + 21d
- 149 = a + 21*7
- a = 149 - 147
- a= 2
<u>Next, let's find the sum of the first 20 terms</u>
- Sₙ = 1/2n(2a+ (n-1)d)
- S₂₀ = 1/2*20(2*2 + 19*7) = 10(4 + 133) = 10*137 = 1370
<u>Answer is</u> 1370
When adding fractions with even denominators, you will not get a whole number, there will be a 1/2. When adding fractions with odd denominators there will be a whole number.
