Answer:
The fourth pair of statement is true.
9∈A, and 9∈B.
Step-by-step explanation:
Given that,
U={x| x is real number}
A={x| x∈ U and x+2>10}
B={x| x∈ U and 2x>10}
If 5∈ A, Then it will be satisfies x+2>10 , but 5+2<10.
Similarly, If 5∈ B, Then it will be satisfies 2x>10 , but 2.5=10.
So, 5∉A, and 5∉B.
If 6∈ A, Then it will be satisfies x+2>10 , but 6+2<10.
Similarly, If 6∈ B, Then it will be satisfies 2x>10 , and 2.6=12>10.
So, 6∉A, and 6∈B.
If 8∈ A, Then it will be satisfies x+2>10 , but 8+2=10.
Similarly, If 8∈ B, Then it will be satisfies 2x>10. 2.8=16>10.
So, 8∉A, and 8∈B.
If 9∈ A, Then it will be satisfies x+2>10 , but 9+2=11>10.
Similarly, If 9∈ B, Then it will be satisfies 2x>10. 2.9=18>10.
So, 9∈A, and 9∈B.
Answer:
it is 29in
Step-by-step explanation:
Answer:
y=-5/4x+5
Step-by-step explanation:
Hi there!
We're given the line 5x+4y=24 and we want to find the line parallel to it that passes through (8,-5)
Parallel lines have the same slopes
First, we need to find the slope of 5x+4y=24.
We'll do that by converting 5x+4y=24 from standard form (ax+by=c where a, b, and c are integers) to slope-intercept form (y=mx+b where m is the slope and b is the y intercept)
subtract 5x from both sides
4y=-5x+24
divide by 4 on both sides
y=-5/4x+6
since -5/4 is in the place where m should be, it is the slope.
So the equation of the line parallel to it will also have -5/4 as the slope
Here's the equation so far in slope-intercept form:
y=-5/4x+b
we need to find b
because the equation will pass through (8,-5), we can use it to solve for b
substitute 8 as x and -5 as y
-5=-5/4(8)+b
multiply
-5=-10+b
add 10 to both sides
5=b
substitute 5 as b into the equation
<u>y=-5/4x+5</u>
That's the equation of the line parallel to 5x+4y=24.
Hope this helps!
The answer is D)6x2 square units.
A surface area of a cube is a sum of its sides' areas. A side of the cube is a square, and there are total 6 sides of the cube. Also, an area of the side of the cube is the area of the square, which can be expressed as a², where a is the length of the side. Therefore, the surface area (SA) of the cube is:
SA = 6*a² = 6a²
If side length is x, that means that a = x units.
After replacing it in the formula, you will have:
SA = 6a² = 6x² square units
