Answer:
x < - 5/9
Step-by-step explanation:
5(x-3)-6(x-2)>8x+2
5x-15-6x+12>8x+2
-x3>8x+2
-x-8x>2+3
-9x>5
x<-5/9
Answer:
Rectangle B is a scaled copy of rectangle A.
Enlargement scale factor = 1.25
Step-by-step explanation:
<u>Rectangle A:</u>
Length = 12 units
Width = 8 units
<u>Rectangle B:</u>
Length = 15 units
Width = 10 units
<u>Rectangle C:</u>
Length = 30 units
Width = 15 units
Rectangle B length ÷ rectangle A length = rectangle B width ÷ rectangle A width = 1.25
i.e
=
= 1.25
Hence rectangle B is a scaled copy of rectangle A and the scale factor of enlargement is 1.25
First find the slope of the given line. 6x+4y=3. Isolate y. 4y=-6x+3, y=-3/2x+3/4.
The slope is -3/2. A perpendicular slope would equal the negative reciprocal of -3/2, which is 2/3.
The answer would be any line with a slope of 2/3 (ie y=2/3x-1).
To check, graph the given and derived equation.
Answer:
EF = 22 , AB = 1
Step-by-step explanation:
the midsegment of a trapezoid is equal to half the sum of the parallel bases
EF =
(AB + DC ) ← substitute values
x + 6 =
(2x - 9 + x + 5) ← multiply both sides by 2 to clear the fraction
2x + 12 = 3x - 4 ( subtract 3x from both sides )
- x + 12 = - 4 ( subtract 12 from both sides )
- x = - 16 ( multiply both sides by - 1 )
x = 16
Then
EF = x + 6 = 16 + 6 = 22
Similarly
EF =
(AB + DC ) , that is
x + 3 =
(4x - 3 + 2x + 5 ) ← multiply both sides by 2 to clear the fraction
2x + 6 = 6x + 2 ( subtract 6x from both sides )
- 4x + 6 = 2 ( subtract 6 from both sides )
- 4x = - 4 ( divide both sides by - 4 )
x = 1
Then
AB = 4x - 3 = 4(1) - 3 = 4 - 3 = 1
I think you forgot to give the options along with the question. I am answering the question based on my research and knowledge. "<span>(-3,-4), 3,-4), (3,4)" could be the vertices of the triangle described in the question. I hope that this is the answer that you were looking for and it has come to your great help.</span>