Answer:
y
=
15.96871942
…
,
−
15.96871942
…
Step-by-step explanation:
Answer:
y = -16.9
Step-by-step explanation:
<u>→Add 0.8y to both sides:</u>
-0.8y + 5.49 = -19.86 - 2.3y
5.49 = -19.86 - 1.5y
<u>→Add 19.86 to both sides:</u>
25.35 = -1.5y
<u>→Divide both sides by -1.5:</u>
-16.9 = y
Answer:
Dimensions of the rug = 13 ft × 26 ft
Step-by-step explanation:
Dimensions of the room = 21 ft × 34 ft
Area of the room = 21 × 34 = 714 ft²
Cynthia wants to leave a uniform strip of floor around the rug.
Let the width of the rug = x ft
Then the dimensions of the rug will be = (21- 2x)ft × (34 - 2x)ft
Area of the rug = (21 - 2x)×(34 - 2x) square feet
338 = (21 - 2x)×(34 - 2x)
338 = 714 - 68x - 42x + 4x²
4x² - 110x + 714 - 338 = 0
4x² - 110x + 376 = 0
2x² - 55x + 188 = 0
2x² - 47x - 8x + 188 = 0
x(2x - 47) - 8(x - 47) = 0
(x - 4)(2x - 47) = 0
x = 4, 
For x = 23.5 area of the rug will be negative.
Therefore, x = 4 ft will be the width of the rug.
Dimensions of the rug will be 13 ft × 26 ft.
Answer:
110
Step-by-step explanation:
So if add 75 + 35 you will get the number 110
Really hoped this helped
Answer:
-15/2 or -7.5 or -7½
Negative StartFraction 15 Over 2 EndFraction
Step-by-step explanation:
Slope or gradient of a line is the ratio of change in y co-ordinates to the change in x co-ordinates.
Therefore;
M=∆y÷∆x
The change in y co-ordinates is given by
∆y=y2-y1
Similarly, change in x co-ordinates is given by
∆x=x2-x1
Given the two points as (5, 80) and (7, 65)
X1=5 Y1=80
X2=7 Y2=65
∆y=65-80=-15
∆x=7-5=2
Hence ∆y÷∆x will be -15÷2=-7.5 or -7½
Negative StartFraction 15 Over 2 EndFraction