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snikergrace
21.10.2020 •
Mathematics
Two Grade 7 students, Monique and Matt, both solved the following math problem: If the temperature drops from 7°F to −17°F, by how much did the temperature decrease? The students came up with different answers. Monique said the answer is 24°F, and Matt said the answer is 10°F. Who is correct? Explain.
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Ответ:
2 and -![\frac{1}{2}](/tpl/images/0694/1340/9cdae.png)
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
3y = 6x + 9 ( divide all terms by 3 )
y = 2x + 3 ← in slope- intercept form
with slope m = 2
(i)
Parallel lines have equal slopes, thus
the slope of line t is 2
(ii)
Given a line with slope m then the slope of a line perpendicular to it is
the slope of line r is -![\frac{1}{2}](/tpl/images/0694/1340/9cdae.png)