You can use synthetic division since the divisor is a linear binomial
x + 3 = 0 so x = -3
-3| 2 3 8
___-6__9_
2 -3 | 17 ←ignore remainder
y = 2x - 3
Part A)
Using the Pythagorean theorem you can find the height:
17^2 = 8^2 + x^2
289 = 64 +x^2
x^2 = 289 - 64
x^2 = 225
x = √225
x = 15
The height is 15 cm.
Part B)
Area of the triangular side: 1/2 x 16 x 15 = 120 square cm.
There are two triangles so 120 x 2 = 240 square cm.
One side = 20 x 17 = 340
There are 2 sides so 340 x 2 = 680 square cm.
The bottom is 16 x 20 = 320 square cm.
Total cardboard needed: 240 + 680 + 320 = 1,240 square cm.
Is 243 a perfect square number? A number is a perfect square (or a square number) if its square root is an integer; that is to say, it is the product of an integer with itself. Here, the square root of 243 is about 15.588. Thus, the square root of 243 is not an integer, and therefore 243 is not a square number.
Answer:
An integer is a whole number, positive or negative. A rational number is a number which can be expressed as a fraction between 2 whole numbers. An integer is a rational number, because every integer can be expressed as a fraction between itself and 1, both whole numbers.
Step-by-step explanation:
Answer:
-1/5
Step-by-step explanation:
slope formula