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Virty [35]
3 years ago
12

The time t required to drive a certain distance varles Inversely with the speed r. If it takes 2 hours to drive the distance at

40 miles per hour, how long will it take to drive the same distance at 45 miles per hour?
80 hours
about 1.78 hours
2.25 hours
900 hours
Mathematics
1 answer:
artcher [175]3 years ago
4 0

Answer:

the answer is 1.78 hours

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Triangle DEF has vertices D(0,0), E(7,0), and F(3,7).
Leni [432]

Answer:

(3, 1.7)

Step-by-step explanation:

The point at which the vertices of a triangle meet is known as the orthocenter of the triangle. The orthocenter passes through the vertex of the triangle and is perpendicular to the opposite sides.

Two lines are perpendicular if the product of their slopes is -1.

The slope of the line joining D(0,0), F(3,7) is:

m_1=\frac{7-0}{3-0}=\frac{7}{3}

The slope of the line perpendicular to the line joining D and F is -3/7. The orthocenter is perpendicular to the line joining D and F and passes through vertex E(7, 0). The equation is hence:

y-y_1=m(x-x_1)\\\\y-0=-\frac{3}{7} (x-7)\\\\y=-\frac{3}{7}x+3 \ .\ .\ .\ (1)

The slope of the line joining E(7,0), and F(3,7). is:

m_1=\frac{7-0}{3-7}=-\frac{7}{4}

The slope of the line perpendicular to the line joining E and F is 4/7. The orthocenter is perpendicular to the line joining E and F and passes through vertex D(0, 0). The equation is hence:

y-y_1=m(x-x_1)\\\\y-0=\frac{4}{7} (x-0)\\\\y=\frac{4}{7} x\ .\ .\ .\ (2)

The point of intersection of equation 1 and equation 2 is the orthocenter. Solving equation 1 and 2 simultaneously gives:

x = 3, y = 1.7

4 0
3 years ago
A farmer makes a pen for his animals with a total perimeter of 46 feet. (see diagram)
ratelena [41]
Yes I love this problem so good
5 0
3 years ago
What is the y intercept, and what does it represent?
motikmotik
In the linear equation y = mx + b, y-intercept represents the value of y. It is the point where the line crosses the y-axis(vertical axis)

Finding the y-intercept is done by looking at which point in the graph crosses the y-axis. This point will always have an x-coordinate of zero(0).
4 0
3 years ago
(CO 1) You need to study the satisfaction of customers of a specific restaurant. You decide to randomly select a few tables and
Elena-2011 [213]

Answer:

Cluster

Step-by-step explanation:

The Cluster sampling technique involves choosing a population to be studied and dividing it into clusters that truly represent the population, through random sampling. In the question above, all the customers in the restaurant represent the population to be studied. Since all the customers can not be interviewed at that time, clusters, in the form of tables are formed through random sampling.

It is necessary for the researcher to ensure that the customers in all the table clusters truly represent the population.

7 0
3 years ago
write an equation that represents the following sentence? the sum of a number and two is twice the number.
Bogdan [553]
The sum of a number and 2
x + 2
is twice the number
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answer
<span>x + 2 = 2x</span>
5 0
3 years ago
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