4.
1 answer:
Answer:
A. 8.9 in.
Step-by-step explanation:
a) 8.9
Triangle is half of a square, so a square has double the area of the triangle.
40 x 2 = 80
Area is the square root of 80.
Square root of 80 = about 8.9
x = 8.9
Answer: a) 8.9 in.
Step-by-step explanation:
From the given picture it can be seen that the area of the triangle A = 40 sq. in.
The height of triangle = base of the triangle =x
We know that the area of triangle is given by :-
Hence, the value of x = 8.9 in.
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We are given first equation y=x+11.
Second equation is -3x + 7y = 13.
Part A: We need to convert that second equation in slope-intercept form y=mx+b.
In order to convert it in slope-intercept form, we need to isolate it for y.
-3x + 7y = 13
Adding 3x on both sides, we get
-3x+3x + 7y = 3x+13
7y = 3x +13.
Dividing both sides by 7, we get
7y/7 = 3x/7 +13/7.
<h3>y= 3/7 x + 13/7.</h3>Slope for first equation y=3/7 x +11 is 3/7 and slope of second equation y= 3/7 x + 13/7 is also 3/7.
Slopes are same for both equations.
<h3>Part B: Therefore, lines are parallel due to equal slopes.</h3>Answer:
Step-by-step explanation:
Given inequality is
Simplifying the inequality by rearranging the terms:
=>
=>
=>
So the given inequality can be simply expressed as
Hence x can take all values in the domain which are less than 2.