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alisha [4.7K]
3 years ago
15

What is the y-intercept of the equation of the line that is perpendicular to the line y =

Mathematics
1 answer:
igor_vitrenko [27]3 years ago
3 0

Answer:

y=-5/3x+20

Step-by-step explanation:

Let the equation of the required line be represented as \[y=mx+c\]

This line is perpendicular to the line \[y=\frac{3}{5}x+10\]

\[=>m*\frac{3}{5}=-1\]

\[=>m=\frac{-5}{3}\]

So the equation of the required line becomes \[y=\frac{-5}{3}x+c\]

This line passes through the point (15.-5)

\[-5=\frac{-5}{3}*15+c\]

\[=>c=20\]

So the equation of the required line is \[y=\frac{-5}{3}x+20\]

Among the given options, option 4 is the correct one.

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5) Is 3 a zero (or root) of f(x) = x3 - 9x2 + 11x + 21?
frozen [14]

Answer:

Yes

Step-by-step explanation:

f(x) = x³ − 9x² + 11x + 21

f(3) = (3)³ − 9(3)² + 11(3) + 21

f(3) = 27 − 81 + 33 + 21

f(3) = 0

6 0
3 years ago
HELP HURRYYY!!! I DONT KNOW
Anettt [7]

Answer:

it would be A. it would be A because on the x coordinate would be placed like (x, y) 4 is negative and 6 is positive, hence (-4, 6)

Step-by-step explanation:

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5 0
3 years ago
I have no idea. Please I need just answers. Thank you. ​
igomit [66]

Answer:

Step-by-step explanation:

1km = 1000m

5a. 5.768km = 5768m = 57.7m

5b. 9.039km = 9039m = 90.4m

5c. 8.48km = 8480m = 84.8m

5d. 17.685km = 17685m = 17.7m

5e. 17.658km = 17658m = 17.7m

To round to the nearest 100m just divide by 100 and then round it off. like 57.68=57.7m because 8 is more than 5 so 6 becomes 7 to one decimal.

Rule is applied for all the other questions too.

3 0
3 years ago
The average summer temperature in Anchorage is 69°F. If the daily temperature is normally distributed with a standard deviation
mafiozo [28]

Answer:

81.85%

Step-by-step explanation:

Given :

The average summer temperature in Anchorage is 69°F.

The daily temperature is normally distributed with a standard deviation of 7°F .

To Find:What percentage of the time would the temperature be between 55°F and 76°F?

Solution:

Mean = \mu = 69

Standard deviation = \sigma = 7

Formula : z=\frac{x-\mu}{\sigma}

Now At x = 55

z=\frac{55-69}{7}

z=-2

At x = 76

z=\frac{76-69}{7}

z=1

Now to find P(55<z<76)

P(2<z<-1)=P(z<2)-P(z>-1)

Using z table :

P(2<z<-1)=P(z<2)-P(z>-1)=0.9772-0.1587=0.8185

Now percentage of the time would the temperature be between 55°F and 76°F = 0.8185 \times 100 = 81.85\%

Hence If the daily temperature is normally distributed with a standard deviation of 7°F, 81.85% of the time would the temperature be between 55°F and 76°F.

7 0
3 years ago
Halla dos pares de enteros cuya suma sea -6​
SCORPION-xisa [38]

Answer:

0 y -6 o 1 y -7

Step-by-step explanation:

7 0
3 years ago
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