Answer:
The actual area of the page will be 120 square inches.
Step-by-step explanation:
Janice is creating a page of scrapbook having vertices (2,1), (7,1), (7,7), and (2,7).
If we plot the points on the coordinate plane then we will see that the page is of a rectangular shape with length (7 - 1) = 6 units which is parallel to the y-axis and width (7 - 2) = 5 units which is parallel to the x-axis.
So, the area of the page is (6 × 5) = 30 square units.
Now, given that 1 square unit is equivalent to 4 square inches.
Therefore, the actual area of the page will be (30 × 4) = 120 square inches. (Answer)
Answer:
(0.5793, 0.6363)
Step-by-step explanation:
Given that a poll of 793 adults aged 18 or older asked about purchases that they intended to make for the upcoming holiday season. One of the questions asked about what kind of gift they intended to buy for the person on whom they would spend the most. Clothing was the first choice of 482 people.
i.e. sample proportion p= 
Std error of p = 
For 90% Z crtiical = 1.645
Hence margin of error = 1.645 * std error = 0.0285
Confidence interval 90%
= proportion ±margin of error
=
Answer:
-2x^2 +16x -8
Step-by-step explanation:
Oh s-
Like terms i guess Same variable you can substract. Remember you only substract from 1 number not from all.
-2x^2 stays the same as there is no like term
9x - (-7x)
-2 - (6)
-2x^2 + 9x+ 7x -2-6
-2x^2 +16x -8
Step-by-step explanation:
<u>Given coordinates of the rectangle ABCD:</u>
- A(0, 0), B(a, 0), C(x, y), D(0, b)
Lets first find coordinates of C
We can see that A and B are on same line horizontally, so C and D will be on the parallel line
The distance AB and CD are equal also distance AD and BC are equal, therefore
- AB = a - 0 = a, CD = a
- AD = b - 0 = b, BC = b
<u>So the coordinates of C are:</u>
<u>Now the diagonals:</u>
- AC = √(a-0)² + (b-0)² = √a²+b²
- BD =√(0-a)² + (b -0)² = √a² + b²
Since AC = BD, we can state they are congruent
