What equation has slope of 3 and passes through 0,-2
1 answer:
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Answer:
1. No
2. 7
3. b=54
Step-by-step explanation:
1. We can answer this by assuming a number.
Let our number be 23
Multiplying its digits = 6
Multiplying the result with initial number = 6 * 23 = 138
So it is not possible to get 1716 as a result by thinking of a natural number and applying the operation mentioned in the question.
2. What is the largest prime factor of the factorial 49! ?
First of all we have to define prime factors:
Prime factors are the prime numbers that can be multiplied together to equal the original number.
The factors of 49 are: 1, 7, 49
7 is the largest prime factor of 49
3. The GCD(a, b) = 18, LCM(a, b) = 108. If a=36, findb.
We will use the relationship:
..
Answer:
<em>126 units² </em>
Step-by-step explanation:
Draw 5 vertical lines BR, CQ, EO, GM, HL and we will have 4 trapezoids and 2 rectangles.
Trapezoid ABRS ≅ trapezoid IHLK
Trapezoid DEOP ≅ trapezoid FEON
Rectangle BCQR ≅ rectangle GHLM
Area of trapezoid is
Area of rectangle is
The total area of the figure is: ( 2 × + 2 ×
+ 2 ×
)
In trapezoid ABRS: = 6,
= 8 and h = 3 ⇒
2 × = 2 × [3(6 + 8) ÷ 2] = <u><em>42 units²</em></u>
In rectangle BCQR: l = 6 and w = 3 ⇒
2 × = 2 × (6 × 3) = <u><em>36 units²</em></u>
In trapezoid DEOP: = 6,
= 10 and h = 3 ⇒
2 × = 2 × [3(6 + 10) ÷ 2] = <u><em>48 units²</em></u>
= 42 + 36 + 48 = <em>126 units²</em>