Answer:
-5x + y = -27
Step-by-step explanation:
Equation: y+8 = -5(x+3)
Standard form is (ax + by = c)
We have to get x and y and their coefficients over to the left side of the equation, and all the single numbers to the right side.
y + 8 = -5 (x + 3)
y + 8 = -5x -15
y = -5x - 27
THE ANSWER IS :
-5x + y = -27
<span>Hypotenuse = 26 mm </span>
1st Leg = 10 mm
Other Leg = x.
By Pythagoras Theorem:
x² + 10² = 26²
<span>x² + 100 = 676 </span>
x² = 676 - 100
x² = 576
x = √576
x = 24
<span>The other leg is 24 mm</span>
The width is 4x + 4
(4x)(2x) = 8x
(-3)(4) = 12
hope that helps
The equation to model the above scenario is
+22x - 23 = 0
The perimeter of the expanded rectangle is 48 units
<h3>What is a rectangle?</h3>
A rectangle is a quadrilateral with its 4 angles 90°
Analysis:
First rectangle:
length = 10 + x
width = x
Second rectangle:
length = x + 14
width = x + 8
Area of expanded rectangle = 135 square unit
(x+8)(x+14) = 135
+ 8x + 14x + 112 = 135
+ 8x + 14x -23 = 0
+ 22x -23 = 0
+ 23x - x - 23 = 0
(x-1)(x+23) = 0
Therefore x = 1
Expanded length = 1+14 = 15
Expanded width = 1+8 = 9
Perimeter = 2(9+15) = 48 units
Learn more about Rectangles: brainly.com/question/25292087
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Answer:
E, 5:2
Step-by-step explanation:
1:2
1/3 x 30 = 10 . 2/3 x 30 = 20
1:1
1/2 x 30 = 15
3:7
3/10 x 30 = 9 7/10 x 30 = 21
4:1
4/5 x 30 = 24 . 1/5 x 30 = 6
5:2
5/7 x 30 = 21.43 (this is a decimal so it does not work)