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3 years ago

Brad drives 527 miles on 17 gallons. How many miles does Brad drive on one gallon?

Mathematics

2 answers:

Juli2301 [7.4K]3 years ago

7 0

31 miles per gallon

Nimfa-mama [501]3 years ago

6 0

Answer:

31 miles per gallon

Step-by-step explanation:

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A triangle has vertices at (1,10), (-5,2), and (7,2). What is its orthocenter. Show your work.

kondor19780726 [428]

Answer:

Question: What is the orthocenter of a triangle with the vertices (-1,2) (5,2) and (2,1)?

The coordinates of point A are (-1,2), point B are (5,2), and point C are (2,1).

The orthocent is the intersection of the three altitudes. An altitude goes from a vertex and is perpendicular to the line containing the opposite side.

In the coordinate plane the equations of the altitudes can be found and then a system of equations can be solved.

Altitude 1. From point C perpendicular to the line containing side AB.

Slope of line AB is 0 (horizontal line), a vertical line is perpendicular to a horizontal line. Thus, the equation of altitude 1 is x=2 .

Altitude 2. From point B perpendicular to the line containing side AC.

Slope of line AC is −13 , the slope of a line perpendicular to line AC is 3. The equation of altitude 2 is y=3x−13

Altitude 3. From point A perpendicular to the line containing side BC.

Slope of line BC is 13 , the slope of a line perpendicular to line BC is −3 . The equation of altitude 3 is y=−3x−1

The orthocenter is the point where all three altitudes intersect.

x=2

y=3x−13

y=−3x−1

Use substitution to solve the first two equations y=3(2)−13=−7

The orthocenter is the point (2,−7)

we did not need the third equation, but we can use it as a check, plug the coordinates into the third equation:

−7=−3(2)−1

−7=−6−1

−7=−7 it works.

3 0

3 years ago

Please help asap 20 pts

makkiz [27]

Answer:

Step-by-step explanation:

For it to be parallel, the lines must have the same slope. So A and C are out. Basic math reveals that if you plug in (1, 8) for <em>(x, y)</em> you find B to be true.

3 0

3 years ago

This exercise examines the accuracy of various branch predictors for the following repeating pattern (e.g., in a loop) of branch

CaHeK987 [17]

Answer:

attached below is the missing part of the question and the solution

A) 60%, 40%

B) 25%

C) 60%

Step-by-step explanation:

a) The accuracy of always-taken for this sequence of branch outcomes = 60%

The accuracy of always -not-taken for this sequence of branch outcomes = 40%

b) The accuracy of the 2-bit predictor for the first four branches assuming that the predictor starts off in the bottom left state = 25%

C)the accuracy of the 2-bit predictor if this pattern is repeated forever = 60% ( was stopped after the fourth iteration because the fourth and third iterations are the same) =