Hey guys what's 25 divided by 7 plus 10??
1 answer:
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Answer:
Step-by-step explanation:
Hi there!
Linear equations are typically organized in slope-intercept form: where <em>m</em> is the slope and <em>b</em> is the y-intercept.
Perpendicular lines always have slopes that are negative reciprocals (ex. 1/2 and -2, 3/4 and -4/3)
<u>Determine the slope (</u><em><u>m</u></em><u>):</u>
Rearrange into slope-intercept form:
Now, we can identify clearly that the slope is -2. Because perpendicular lines always have slopes that are negative reciprocals, a perpendicular line would have a slope of . Plug this into
:
<u>Determine the y-intercept (</u><em><u>b</u></em><u>):</u>
Plug in the given point (1,3) and solve for <em>b</em>:
Therefore, the y-intercept is . Plug this back into
:
I hope this helps!
Answer:
Alfred ate 24 hot dogs.
Step-by-step explanation:
Let the number of hot dog ate by Olafs be represented by b.
Since Olafs eats five fewer than triple the hot dogs Alfred eats, and Alfred ate a hot dogs. This can be expressed in a mathematical equation as follows;
b = 3a - 5
But Olafs eats 67 hot dogs, so that b = 67. Thus;
b = 3a - 5
67 = 3a - 5
67 + 5 = 3a
3a = 72
divide both sides by 3 to have;
a =
a = 24
Alfred ate 24 hot dogs.