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3 years ago

What is the distance between (3, 7 and (15, 16)

1 answer:

4 0

D = √( (x2 - x1)^2 + (y2 - y1)^2 )
D = √( (15-3)^2 + (16 - 7)^2 )
D = √ ( 12^2 + 9^2 )
D = √ (144 + 81)
D = √225
D = 15

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48 different <span>lunches can be ordered from the restaurant's lunch special menu</span>

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3 years ago

Match the following items by evaluating the expression for x = -2.

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Answer:

1) $-4$

2) $-3$

3) $1$

4) $-2$

5) $4$

Step-by-step explanation:

According to the information given in the exercise, the value of "x" is:

$x = -2$

Then:

1) You must substitute $x = -2$ into the expresion $x-2$ :

$=(-2)-2$

Now, you must evaluate:

$=-4$

2) You have to substitute the given value of "x" into the second expression:

$x-1=(-2)-1$

Finally, evaluating, you get the following result:

$=-3$

3) According to the Zero exponent Rule, any non-zero number with an exponent of zero is equal to 1.

Then, substituting $x = -2$ into the expression $x^0$ and then evaluating, you get:

$x^0=(-2)^0=1$

4) By definition:

$a^1=a$

Then, substituting $x = -2$ into $x^1$ and evaluating, you get:

$x^1=(-2)^1=-2$

5) Since:

$a^2=a*a$

When you substitute the given value of "x" into the last expression and then you evaluate, you get:

$x^2=(-2)^2=(-2)(-2)=4$

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3 years ago

Data was collected on the average winter temperature and the number of days with snow of a random groupof cities in the United S

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Answer:

d. negative correlation

Step-by-step explanation:

Two variables are positive correlated when one goes up or down the other goes in the same direction and they are negative correlated when one goes up or down the other variable goes in the other direction.

In this case, the higher the temperature rises, the less snow. Therefore we have a negative correlation

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3 years ago

If the length of one base of a trapezoid is 5, the length of the other base is 2x + 7, and the length of the midsegment is 6x –

enyata [817]

Answer:

x = 6

Step-by-step explanation:

The midsegment of a trapezoid is the line parallel to the parallel sides of the trapezoid, which connects the midpoints of the non-parallel sides.

The length of the midsegment of the trapezoid is half the sum of the length of the parallel sides.

i.e,

Length of the midsegment = (1/2) *(Length of base1 + Length of base2)

6x - 24 = (1/2) * (5 + 2x + 7)

12x - 48 = 2x + 12

10x = 60

x=6

∴ x = 6

8 0

3 years ago

Bus A travels according to the function y = 125/5x where y is distance traveled in miles and x is time in hours. Bus B travels a

Yuki888 [10]

Answer:

Bus B travel faster

Step-by-step explanation:

The graph of the question in the attached figure

we know that

the linear equation in slope intercept form is equal to

$y=mx+b$

where

m is the slope

b is the y-intercept

x ---> is the time in hours

y ---> is the distance in miles

In this problem we have

Bus A

$y=\frac{125}{5}x$

The slope of the linear equation represent the speed of the bus

The speed of bus A is

$\frac{125}{5}=25\ miles/hour$

Bus B

Find the slope

take two points from the graph

(0,0) and (3,200)

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

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

substitute

$m=\frac{200-0}{3-0}$

$m=66.67\ \frac{miles}{hour}$

Compare the slope Bus A with the slope Bus B

$66.67\ \frac{miles}{hour} > 25\ \frac{miles}{hour}$

therefore

Bus B travel faster

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3 years ago