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3 years ago

Line A: y = 1/2x+2

Mathematics

1 answer:

hammer [34]3 years ago

7 0

Lines B and C are perpendicular ⇒ answer C

Step-by-step explanation:

The product of the slopes of the perpendicular line is -1

The slopes of the parallel lines are equal

The slopes of two lines are $m_{1}$ and $m_{2}$

1. If $m_{1}$ × $m_{2}$ = -1, then the two lines are perpendicular

2. If $m_{1}$ = $m_{2}$ , the the two lines are parallel

The equation of a line in slope-intercept form is y = m x + c, where m is

the slope of the line

Line A: y = $\frac{1}{2}$ x + 2

The slope of the line is $m_{A}$ = $\frac{1}{2}$

Line B: y = $-\frac{1}{2}$ x + 7

The slope of the line is $m_{B}$ = $-\frac{1}{2}$

Line C: y = 2 x + 4

The slope of the line is $m_{C}$ = 2

Line D: $\frac{1}{2}$ x + $\frac{5}{4}$

The slope of the line is $m_{D}$ = $\frac{1}{2}$

∵ $m_{B}$ = $-\frac{1}{2}$

∵ $m_{C}$ = 2

∵ $-\frac{1}{2}$ × 2 = -1

∴ Line B and Line C are perpendicular because the product of their

slopes is -1

Lines B and C are perpendicular

Learn more:

You can learn more about slope in brainly.com/question/4152194

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A sample is BEST defined as _________.

Thepotemich [5.8K]

Answer:

(B) A selected group of participants that is representative of a larger population

Step-by-step explanation:

A sample statistic is a piece of information that you get from a fraction of the population. This information is representative of a larger population.

For example, someone wants to conduct a survey about the most popular NFL team in Syracuse, NY, if it is the Buffalo Bills or the New York Giants. This person is not going to ask each person for whom they cheer. They are going to collect data from a fraction of the population and this data will be expanded to include the entire population.

So, the correct answer is:

(B) A selected group of participants that is representative of a larger population

7 0

3 years ago

In simple terms, how do u factor a polynomial by distribution? for example " 36a^2 + 24a?

rewona [7]

Answer:

6a (6a + 4)

Step-by-step explanation:

What is the highest number that goes both into 36 and 24? That is 6. What else do they have in common? The letter a

So 6a(6a + 4)

4 0

2 years ago

Después de 15 meses de haber prestado un capital al 5% de rédito, tengo que pagar de interés Q468.75. ¿Qué capital se ha prestad

Aleonysh [2.5K]

The capital borrowed, or the principal when the interest was Q468.75 is <u>Q7500</u>.

The principal P, amount borrowed, at a certain rate of interest R%, for a time of T years, giving an interest of I, can be calculated using the formula:

P = (I * 100)/(R * T).

In the question, we are asked to find the capital borrowed, that is, the principal, when the user pays Q468.75 after 15 months at 5% of income.

Thus, Interest (I) = Q468.75, rate of interest (R) = 5%, and time (T) = 15 months = 15/12 years = 1.25 years.

Thus, the principal P, can be calculated by substituting the values in the formula: P = (I * 100)/(R * T).

P = (468.75*100)/(5*1.25),

or, P = 46875/6.25,

or, P = 7500.

Thus, the capital borrowed, or the principal when the interest was Q468.75 is <u>Q7500</u>.

The provided question is in Spanish. The question in English is:

"After 15 months of having borrowed capital at 5% of income, I have to pay Q468.75 in interest. What capital has been borrowed?"

Learn more about Interest at

brainly.com/question/25793394

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5 0

2 years ago

stiv31 [10]

Answer:

Step-by-step explanation:

Hello There!

The y value of ABC was subtracted by 7 to get to the figure A'B'C'

So the rule for the given transformation would be

(x,y) ---> (x,y-7)

5 0

3 years ago

Mileage tests are conducted for a particular model of automobile. If a 98% confidence interval with a margin of error of 1 mile

Llana [10]

Answer: 37

Step-by-step explanation:

Given : Significance level : $\alpha:1-0.98=0.02$

Critical value : $z_{\alpha/2}=z_{0.01}=2.33$

margin of error : E= 1 mile per gallon

Population standard deviation: $\sigma=2.6$ miles per gallon.

We know that when the population standard deviation is known then the formula to find the sample size is given by :

$n=(\dfrac{z_{\alpha/2}\times \sigma}{E})^2$

$n=(\dfrac{(2.33)\times 2.6}{1})^2=36.699364\approx37$ [Round to the next whole number.]

Hence, the required number of automobiles should be used in the test = 37

7 0

3 years ago