Answer:
The correct option is A) 3 square inches; 
.
Step-by-step explanation:
It is given that the length of the frame is (2x-3) and the width is (x-2)
The area of the rectangle is: 
Where, A is the area l is the length and w is the width of the rectangle.
Put 
and 
in the area of the rectangle.
The area of the frame expressed as a polynomial is .
Now substitute x=3 in 
.
The area of the frame is 3 square inches.
Hence, the correct option is A) 3 square inches; .
4x + 6 < -6
First, subtract 6 from both sides. / Your problem should look like: 3x < -6 - 6
Second, simplify -6 - 6 to -12. / Your problem should look like: 3x < -12
Third, divide both sides by 4. / Your problem should look like: x <
Fourth, simplify
to 3. / Your problem should look like: x < -3
Answer:
x < -3<span />
Answer:
(-4,3)
Step-by-step explanation:
The domain of a function is all of its possible x-values. In this graph, there is a y-value for every x-value between -4 and 3 except -4 and 3, because there are open dots at those points. Therefore, the domain is (-4,3). Use parenthesis because the function is not defined at x=-4 or x=3.
1) Road Trip: Let’s say two friends are meeting at a playground. Mary is already at the park but her friend Bob needs to get there taking the shortest path possible. Bob has two way he can go - he can follow the roads getting to the park - first heading south 3 miles, then heading west four miles. The total distance covered following the roads will be 7 miles. The other way he can get there is by cutting through some open fields and walk directly to the park. If we apply Pythagoras's theorem to calculate the distance you will get:
(3)<span>2 </span>+ (4)2 =
9 + 16 = C2
√25 = C
5 Miles. = C
Walking through the field will be 2 miles shorter than walking along the roads. .
2) Painting on a Wall: Painters use ladders to paint on high buildings and often use the help of Pythagoras' theorem to complete their work. The painter needs to determine how tall a ladder needs to be in order to safely place the base away from the wall so it won't tip over. In this case the ladder itself will be the hypotenuse. Take for example a painter who has to paint a wall which is about 3 m high. The painter has to put the base of the ladder 2 m away from the wall to ensure it won't tip. What will be the length of the ladder required by the painter to complete his work? You can calculate it using Pythagoras' theorem:
(5)<span>2 </span>+ (2)2 =
25 + 4 = C2
√100 = C
5.3 m. = C
Thus, the painter will need a ladder about 5 meters high.
3) Buying a Suitcase: Mr. Harry wants to purchase a suitcase. The shopkeeper tells Mr. Harry that he has a 30 inch of suitcase available at present and the height of the suitcase is 18 inches. Calculate the actual length of the suitcase for Mr. Harry using Pythagoras' theorem. It is calculated this way:
(18)<span>2 </span>+ (b)2 = (30)2
324 + b2 = 900
B2 = 900 – 324
b= √576
= 24 inches
