How do you add a picture of a math problem on this app
1 answer:
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Answer:
4. 35 times larger
Step-by-step explanation:
<em>Doing Question #4 Only</em>
<em />
4.
Before we see this problem's solution. Lets get a background.
Suppose something has an area of "A" sq. meters.
and
Suppose another land has an area of "B" sq. meters.
and suppose A > B
If we want to know how many times A is larger than B, we simply have to divide the larger one (A) by the smaller one (B).
Now, onto our question:
We want to know how many times larger the national is than state park. So we divide the area of national by the area of state. That would be:
<em>Since the numbers are in scientific notation, we look at the rule below on how to divide scientific notation numbers:</em>
<em></em>
<em />
<em>Now, we apply the rule:</em>
<em></em>
<em />
So, the national park is 35 times larger than the state park.
Answer:
(x + 3)² + (y + 1)² = 100
Step-by-step explanation:
Equation of a circle is:
(x − h)² + (y − k)² = r²
where (h, k) is the center of the circle and r is the radius.
The center is on the line x − 4y = 1, so:
h − 4k = 1
h = 1 + 4k
(x − 1 − 4k)² + (y − k)² = r²
Two points on the line are (3, 7) and (5, 5), so:
(3 − 1 − 4k)² + (7 − k)² = r²
(5 − 1 − 4k)² + (5 − k)² = r²
Set the equations equal:
(3 − 1 − 4k)² + (7 − k)² = (5 − 1 − 4k)² + (5 − k)²
(2 − 4k)² + (7 − k)² = (4 − 4k)² + (5 − k)²
4 − 16k + 16k² + 49 − 14k + k² = 16 − 32k + 16k² + 25 − 10k + k²
4 − 16k + 49 − 14k = 16 − 32k + 25 − 10k
53 − 30k = 41 − 42k
12k = -12
k = -1
h = 1 + 4k
h = -3
(3 − 1 − 4k)² + (7 − k)² = r²
(3 − 1 + 4)² + (7 + 1)² = r²
6² + 8² = r²
r = 10
Therefore, the equation of the circle is:
(x + 3)² + (y + 1)² = 10²
