One of the solutions to x2 − 2x − 15 = 0 is x = −3. What is the other solution?

Write an equation in slope-intercept form of the line perpendicular to y = 3x + 4 that passes through the point (3, 4).

Anika [276]

<u>Answer:</u>

The correct answer option is D. $y= -\frac{1}{3} x+5$ .

<u>Step-by-step explanation:</u>

We are to find the equation of a line which is perpendicular to the following line and passes through the point (3, 4):

$y = 3x + 4$

We know that an equation perpendicular to another equation has a slope which is the negative reciprocal of the first equation.

So our required slope is $-\frac{1}{3}$

Finding the y-intercept:

$y=mx+c$

$4=-\frac{1}{3}(3)+c$

$c=5$

Therefore, the equation of the line perpendicular to $y = 3x + 4$ and passing through the point (3, 4) is $y= -\frac{1}{3} x+5$ .

5 0

1 year ago

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Find the missing term in the following sequence ? 1, 4, 11, 26, 57, 120, ______

Marysya12 [62]

Answer:

247

Step-by-step explanation:

1,4,11,26,57,120. see the pattern that emerges from the series:

4–1 = 3; 3–1 = 2 = 2^1

11–4 = 7; 7 - 3 = 4 = 2^2

26 - 11 = 15; 15 - 7 = 8 = 2^3

57 - 26 = 31; 31 - 15 = 16 = 2^4

120 - 57 = 63; 63 - 31 = 32 = 2^5

so the next number should be 64+63 = 127+120 = 247.

check: 247–120 = 127; 127–63 = 64 = 2^6. correct.

so the next number is 247. 2^n+(n-1)

5 0

2 years ago

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I need to increase the number of customers by 20% daily, I talk to an average of 8 customers per hour during an 8 hour shift so

MA_775_DIABLO [31]

Before we figure out how many customers you will need to talk per day to reach your goal, let's calculate what is 20% of how many customers you normally talk to a day.

current no. = 8

goal = 8 + 20%

20% = 8 x 0.20

(a percent is really just a fraction with the percent number over 100)

20% = 1.60

goal = 8 + 1.60

goal = 9.60

However, there is no such thing as .60 of a person so we will have to round up. You will need to talk to 10 customers per day.

6 0

1 year ago

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Two angles of a triangle measure 59° and 63°. If the longest side measures 28 centimeters, find the length of the shortest side.

Dmitrij [34]

Angles in a triangle ALWAYS equal 180 degrees, so 180-59-63= final angle (58 degrees) Then just use (Tan,Cos,Sin) with the angles to find the lengths, i can’t answer it as i don’t know what the triangle looks like

3 0

2 years ago

The probability that a person in the United States has type B+ blood is 12%. Three unrelated people in the United States are s

V125BC [204]

Answer:

The probability that all three have type B+ blood is 0.001728

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they have type B+ blood, or they do not. The probability of a person having type B+ blood is independent of any other person. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$