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Start learning 50% faster. Sign in nowThe slope of the line 3x + 4y = 12 is given by rearranging it into slope-intercept form: 3x + 4y = 12 4y = -3x + 12 y = -3/4 * x + 3. Thus, the slope of the given line is -3/4. The slope of the perpendicular line will be the negative reciprocal, i.e., 4/3. Now, using the point-slope form of the equation of a line: y - y1 = m(x - x1), Substitute the point (4, 3) and slope 4/3: y - 3 = 4/3(x - 4), Multiply both sides by 3 to eliminate the fraction: 3(y - 3) = 4(x - 4), 3y - 9 = 4x - 16, 3y = 4x - 7, Thus, the equation of the line is: 4x - 3y = 7. Answer: c)
Which of the following symbols should be placed in the blank spaces, respectively ( in the same order from left to right ) in order to complete the give...
Statements: F > V > W ≥ L > G; F ≤ O = M < I
Conclusions: I. M > L II. V < I
Statement: W>Y<X<Z=U>S; W<T ≥V
I. Y<T
II. X > V
Statements: U = V ≤ W > Q ≥ N; B < Q; E = W
Conclusion: I. E > Q II. W > B
Statements: P > Q > R > S > T < U < V < W < X
Conclusion:
I. P > T
II. U < X
...Statements: Z = Y ≥ X > W, Q > O = P ≥ I, W ≥ V ≥ U = Q
Conclusions:
I. Z ≥ Q
II. I ≤ W
III. X > P
Statements: A ≤ B = C ≥ D > E > F; F = G ≥ H = I > J > K = L
Conclusions:
I. B > F
II. H = L
Statements: F > C > K; L < G < D; C ≥ H < D > I
Conclusions:
I. L < C
II. K > I
III. F > H
In the question, assuming the given statements to be true, find which of the conclusion (s) among given three conclusions is /are definitely true and t...
Statements: S > P = N ≤ L, O = L > U, U ≥ W > V ≥ U = T
Conclusions:
I. N ≤ W
II. L > T
III. S > T
