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3 years ago

15

The distance between City A and City B is 500 miles. A length of 1.7 feet represents this distance on

1 answer:

lara [203]3 years ago

6 0

Answer:

799.99999 or 800 miles.

Step-by-step explanation:

You first need to find the conversion rate, so you divide 500 by the number representing it on the map, that being 1.7 feet. Once you've done this, you will get a conversion rate of 294. Now that you have the conversion rate, you multiply your second number, 2.72. This will give you your answer of 799.68 miles, which can be rounded up to 800 miles.

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Find the equation of the line that passes through the points (3,-2) and (6,-8)

Karolina [17]

Answer:

$2x + y = 4$

Step-by-step explanation:

The two-point form of the equation of a line is:

$y - y_1 = \dfrac{y_2 - y_1}{x_2 - x_1}(x - x_1)$

We have:

x1 = 3

y1 = -2

x2 = 6

y2 = -8

Plug in all the values where they belong in the equation above.

$y - (-2) = \dfrac{-8 - (-2)}{6 - 3}(x - 3)$

Simplify.

$y + 2 = \dfrac{-6}{3}(x - 3)$

$y + 2 = -2(x - 3)$

$y + 2 = -2x + 6$

$2x + y = 4$

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2 years ago

What is the opposite of -3

Rama09 [41]

Positive 3
It’s positive three

6 0

3 years ago

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Which best describes the relationship between the lines? 2x – y = −7 2x + 4y = 2

seropon [69]

Answer:

Perpendicular

Step-by-step explanation:

2x - y = -7

2x + 4y = 2

-y = -2x - 7

4y = -2x + 2

y = 2x + 7

y = -1/2x + 1/2

Cannot be:

Parallel because the slope would otherwise be the same.

Same line because the equation is not proportional

So, they are perpendicular because a perpendicular line would be a negative and a reciprocal of the current line

8 0

2 years ago

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A number, y, is five times another number, x. The sum of the two numbers is 42. Write the system of equations.

vovikov84 [41]

Answer:

5x+x=42

6x=42

x=7

Step-by-step explanation:

5 0

2 years ago

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Right triangles abc and dbc with right angle c are given below. If cos(a)=15,ab=12 and cd=2, find the length of bd.

dmitriy555 [2]

see the attached figure to better understand the problem

we have that

$cos(A)=\frac{1}{5} \\ AB=12\ units\\ CD=2\ units$

Step 1

<u>Find the value of AC</u>

we know that

in the right triangle ABC

$cos (A)=(AC/AB)\\AC=AB*cos(A)$

substitute the values in the formula

$AC=12*(1/5)\\ AC=2.4\ units$

Step 2

<u>Find the value of BC</u>

we know that

in the right triangle ABC

Applying the Pythagorean Theorem

$AB^{2} =AC^{2}+BC^{2}\\ BC^{2}=AB^{2} -AC^{2}$

substitute the values

$BC^{2}=12^{2} -2.4^{2}\\BC^{2}= 138.24\\ BC=11.76\ units$

Step 3

<u>Find the value of BD</u>

we know that

in the right triangle BCD

Applying the Pythagorean Theorem

$BD^{2} =DC^{2}+BC^{2}$

substitute the values

$BD^{2} =2^{2}+11.76^{2}$

$BD=11.93\ units$

therefore

<u>the answer is</u>

the length of BD is 11.93 units

8 0

3 years ago

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