In ΔSTU, the measure of ∠U=90°, TS = 41, UT = 40, and SU = 9. What is the value of the tangent of ∠S to the nearest hundredth?
2 answers:
You might be interested in
Answer <u>(assuming it can be in slope-intercept format)</u>:
Step-by-step explanation:
When knowing the y-intercept of a line and its slope, we can write an equation representing it in slope-intercept form, or .
1) First, find the slope of the equation. Use the slope formula, , to find the slope. Substitute the x and y values of the given points into the formula and simplify:
Thus, the slope is .
2) Usually, we would have to use one of the given points and the slope to put the equation in point-slope form. However, notice that the point (0,7) has an x-value of 0. All points on the y-axis have an x-value of 0, thus (0,7) must be the y-intercept of the line. Now that we know the slope of the line and its y-intercept, we can already write the equation in slope-intercept format, represented by the equation . Substitute
and
for real values.
Since represents the slope, substitute
in its place in the equation. Since
represents the y-intercept, substitute 7 in its place. This gives the following equation and answer: