Solve this equation please ! −2 − (+7) = ?
1 answer:
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Answer <u>(assuming it can be in slope-intercept form): </u>
y = x - 5
Step-by-step explanation:
1) First, find the slope of the equation. Use the slope formula, , and substitute the x and y values of the given points into it. Then, solve:
2) Now that we know the slope and at least one point the line crosses through, we can write an equation of the line in point-slope form, or . Substitute
,
, and
for real values.
Since represents the slope, substitute 1 for it. Since
and
represent the x and y values of a point the line intersects, use any one of the given points (either one is fine, either way the equation will represent the same line) and substitute its x and y values into the equation. (I chose the point (6, 1), as seen below.) Finally, isolate y to put the equation in slope-intercept form.
Answer:
A = 3/5
Step-by-step explanation:
At the outset, the question doesn't give us a figure to refer to nor does it tell us if this is a right angled triangle. However we observe that both sin A and tan A have the numbers 3, 4 and 5. We recognize this to be consistent with 3-4-5 standard right angled triangle.
Hence we can guess that it is probably a right angled triangle, but we should do the following to confirm:
Knowning that for a right angled triangle,
sin A = opposite / hypotenuse = 4/5
tan A = opposite / adjacent = 4/3
From this we can surmise that
Opposite = 4
hypotenuse = 5
adjacent = 3
Assemble the triangle to see if this works (see attached). We can futher verify that 3-4-5 works using the Pythagorean theorem.
Now that we have determined that the triangle is a 3-4-5 right angled triangle,
cos A = adjacent / hypotenuse = 3/5
