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2 years ago

12

Ruby is visiting San Francisco. From her hotel she walks 1 block east and 2 blocks south to a coffee shop. Then she walks 5 bloc

ks west and 4 blocks south to a
museum. Where is the museum in relation to her hotel?

1 answer:

seraphim [82]2 years ago

8 0

Answer: 4 blocks west, 6 blocks south

Step-by-step explanation: east and west are opposites 5-1=4 blocks west. 4+2=6 blocks south. the direction would be south-west.

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Write the slope-intercept form of the equation that passes through the given points. (separate equations for each of them)

guajiro [1.7K]

Answer:

Part 1) $y=-\frac{1}{5}x-1$

Part 2) $y=3x-16$

Part 3) $y=4$

Step-by-step explanation:

we know that

The equation of the line into slope intercept form is equal to

$y=mx+b$

where

m is the slope

b is the y-intercept

Part 1) we have

(10,-3) (5,-2)

<u><em>Find the slope</em></u>

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute

$m=\frac{-2+3}{5-10}$

$m=\frac{1}{-5}$

$m=-\frac{1}{5}$

<em>Find the value of b</em>

we have

$m=-\frac{1}{5}$

$point (10,-3)$

substitute in the equation $y=mx+b$ and solve for b

$-3=-\frac{1}{5}(10)+b$

$-3=-2+b$

$b=-3+2=-1$

substitute

$y=-\frac{1}{5}x-1$

Part 2) we have

(6,2) (7,5)

<u><em>Find the slope</em></u>

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute

$m=\frac{5-2}{7-6}$

$m=\frac{3}{1}$

$m=3$

<em>Find the value of b</em>

we have

$m=3$

$point (6,2)$

substitute in the equation $y=mx+b$ and solve for b

$2=3(6)+b$

$2=18+b$

$b=2-18=-16$

substitute

$y=3x-16$

Part 3) we have

(4,4) (-7,4)

<u><em>Find the slope</em></u>

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute

$m=\frac{4-4}{-7-4}$

$m=\frac{0}{-11}$

$m=0$

This is a horizontal line (parallel to the x-axis)

The y-intercept b is equal to the y-coordinate

<em>therefore</em>

The equation of the line is

$y=4$

6 0

3 years ago

Arnold skydives out of an airplane with a parachute. After he opened his parachute Arnold descended at 70feet per second. An obs

vivado [14]

Answer:

Arnold descended a distance of 5,250 ft after his parachute opened

Step-by-step explanation:

Here in this question, we want to know the distance Arnold descended after his parachute opened.

Mathematically, we know that distance = speed * time

In this case;

The speed is the rate at which he descended = 70 ft per second

Now the time is 1 minute and 15 seconds; since 1 minute is 60 seconds, then 1 minute and 15 seconds is 60 + 15 = 75 seconds

So what we are saying is he descended at a rate of 70 ft per second for 75 seconds

Thus, his distance of descent will be 70 ft per second * 75 seconds = 5,250 ft

4 0

2 years ago

Read 2 more answers

(a) Work out the reciprocal of 1.25

Oxana [17]

Answer:

0.8 OR $\frac{4}{5}$

Step-by-step explanation:

The reciprocal of any number is the number that it multiplies by to equal 1.

The reciprocal can be found by simply converting the number into a fraction and then 'flipping' the fraction as any number multiplied by its reciprocal is 1.

E.g.

No. X/Y * Y/X (its reciprocal) = 1

$\frac{x}{y} *\frac{y}{x} =\frac{xy}{xy} =1$

So, to find the reciprocal of 1.25,we should first convert 1.25 to a fraction.

1.25 = 125/100

$\frac{125/25}{100/25}=\frac{5}{4}$

Now we just flip 5/4 to get our reciprocal:

$\frac{4}{5}$ = 0.8

Test: 0.8 * 1.25 = 1

The reciprocal of 1.25 ( $\frac{5}{4}$ ) is 0.8 ( $\frac{4}{5}$ ).

Hope this helped!

8 0

2 years ago

For which equation is y=7 a solution

irina1246 [14]

The answer would be B.

6 0

2 years ago

WHUR Radio uses 1/5 of its of its 10 hours of daytime broadcast for commercial and 1/2 for music. How much is left for news?

Nataly [62]

Answer: 3 hours

Step-by-step explanation:

From the question, we are informed that WHUR Radio uses 1/5 of its of its 10 hours of daytime broadcast for commercial and 1/2 for music.

Hours used for commercial:

= 1/5 × 10

= 2 hours

Hours used for music:

= 1/2 × 10

= 5 hours

Hours left for news will be:

= 10 hours - 2 hours - 5 hours

= 3 hours

8 0

2 years ago