Answer:
a. 35
b. 13
Step-by-step explanation:
a. x/5= 7
Cross Multiplication
x= (7)(5)
x= 35
b. x/2= 6.5
Cross Multiplication
x=(6.5)(2)
x=13
The polynomial that represents the area of the trapezoid shaped window is: 1/2(8x² - 14x - 15).
<h3>What is the
Area of a Trapezoid?</h3>
Area of trapezoid = 1/2(a + b)h, where a and b are length of the parallel sides, and h is the height.
Given:
a = 3x + 5
b = x - 2
h = 2x - 5
Thus:
Area of trapezoid = 1/2(3x + 5 + x - 2)(2x - 5)
Area of trapezoid = 1/2(4x + 3)(2x - 5)
Area of trapezoid = 1/2(8x² - 14x - 15)
Therefore, the polynomial that represents the area of the trapezoid shaped window is: 1/2(8x² - 14x - 15).
Learn more about area of trapezoid on:
brainly.com/question/1463152
Answer:
The value of y is 4
The equation of line is y = x + 7 .
Step-by-step explanation:
Given as :
The points are
(
, 
) = (- 3, y)
(
, 
) = (- 9, -2)
The slope = m = 1
Now,<u> The slope is calculated in points form</u>
So, Slope = 
I.e m =
or, 1 = 
or, 1 = 
or, 1 × (-6) = - 2 - y
or, - 6 = - 2- y
or, y = - 2 + 6
∴ y = 4
So, The new points as
(, ) = (- 3, 4 )
(, ) = (- 9, -2)
<u>So, the equation of line in slope - point form can be written as</u>
y - = m ( x - )
i.e y - 4 = ( 1 ) × ( x - (-3) )
or, y - 4 = x + 3
∴ y = x + 3 + 4
Or, y = x + 7
So, The equation of line is y = x + 7
Hence The value of y is 4
And The equation of line is y = x + 7 . Answer
Answer:
√2 x √2 = 2
Step-by-step explanation:
Square roots that aren't perfect squares are irrational.
For Ex: √2 is irrational.
But √2 x √2 = √4 = 2. 2 is rational
Ex. 2 : √8 x √2 = √16 = 4. 4 is rational
Less than 90°. All acute angles in a triangle are less than 90°.
