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What is the equation of a line that is parallel to x=−5 and that passes through the point (1,4)

anastassius [24]

Answer: x = 1

The given line x = -5 is a vertical line through -5 on the x axis. Every point on this line has an x coordinate of -5. Similarly, the line x = 1 has all of its points with x coordinate of 1. One of those points is (1,4). Any vertical line has an undefined slope. Any two vertical lines are parallel to one another.

8 0

3 years ago

To find 5, Beau found 22 = 4 and 32 = 9. He said that since 5 is between 4 and 9, 5 is between 2 and 3. Beau thinks a good estim

shusha [124]

Complete question

To find $\sqrt{5}$ , Beau found $2^2 = 4$ and $3^2 = 9$ . He said that since 5 is between 4 and 9, $\sqrt{5}$ , is between 2 and 3. Beau thinks a good estimate for $\sqrt{5}$ , is $\frac{2 + 3}{2} = 2.5$ Is his estimate high or low? How do you know?

Answer:

The estimation is high because 5 is very close to 4 so $\sqrt{5}$ will also be very close to $\sqrt{4}$ which is lower than the estimate

In order to get a good estimate

The first step is to choose a number between 2 and 3 let say 2.8 , 2,85 , 2.9 and the square them

i.e

$2.1^2 = 4.41$

$2.2^2 = 4.84$

$2.3^2 = 5.29$

From here we can see that $\sqrt{5}$ lies between 2.2 and 2.3 but is closer to 2.2

So a good estimate for $\sqrt{5}$ is 2.2

Step-by-step explanation:

8 0

3 years ago

A local marketing company wants to estimate the proportion of consumers in the Oconee County area who would react favorably to a

Burka [1]

Answer:

C. n=423

Step-by-step explanation:

1) Notation and important concepts

Margin of error for a proportion is defined as "percentage points your results will differ from the real population value"

Confidence=90%=0.9

$\alpha=1-0.9=0.1$ represent the significance level defined as "a measure of the strength of the evidence that must be present in your sample before you will reject the null hypothesis and conclude that the effect is statistically significant".

$\hat p=0.5$ represent the sample proportion of consumers in the Oconee County area who would react favorably to a marketing campaig. For this case since we don't have enough info we use the value of 0.5 since is equiprobable the event analyzed.