David drives 40 miles in one hour. How many miles does he drive 1.5 hours?

Mathematics

1 answer:

Karo-lina-s [1.5K]3 years ago

6 0

Answer: 60 miles

Step-by-step explanation: if 40-20=20 and your trying to figure out how many miles is traveled in 1.5 miles then you add 40 and 20 which gives you 60 miles

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I need the answer for this exact question

denis23 [38]

Answer:

$y=\frac{7}{2}x-20$

Step-by-step explanation:

Let the equation of the line be $y-y_1=m(x-x_1)$ where, 'm' is its slope and $(x_1,y_1)$ is a point on it.

Given:

The equation of a known line is:

$y=-\frac{2}{7}x+9$

A point on the unknown line is:

$(x_1,y_1)=(4,-6)$

Both the lines are perpendicular to each other.

Now, the slope of the known line is given by the coefficient of 'x'. Therefore, the slope of the known line is $m_1=-\frac{2}{7}$

When two lines are perpendicular, the product of their slopes is equal to -1.

Therefore,

$m\cdot m_1=-1\\m=-\frac{1}{m_1}\\m=-\frac{1}{\frac{-2}{7} }=\frac{7}{2}$

Therefore, the equation of the unknown line is determined by plugging in all the given values. This gives,

$y-(-6))=\frac{7}{2}(x-4)\\y+6=\frac{7}{2}x-14\\y=\frac{7}{2}x-14-6\\\\y=\frac{7}{2}x-20$

The equation of a line perpendicular to the given line and passing through (4, -6) is $y=\frac{7}{2}x-20$ .

3 0

3 years ago

Let the sample space represent all the values from 1 to 10. Let A = {1, 2, 8} and B = {2, 7}. What is the P ( A ∪ B ) ? (Express

Aneli [31]

Let A = {1, 2, 8} and B = {2, 7}.

P ( A ∪ B ) = {1, 2, 7, 8}

= 4/10

= 0.4

Answer: 0.4

5 0

3 years ago

Please Help Me ASAP I Need <br> This For My grade

mel-nik [20]

Answer:

$\huge slope \: of \: the \: graph = \tan( \alpha ) = \frac{perpendicular}{base} = \frac{(value\:of\: y-axis)}{(value\:of\:x-axis)} = \frac{1}{ - 1} = - 1$

<h2>-1 is the right answer.</h2>