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slamgirl [31]
4 years ago
5

WILL MARK BRAINLIEST!!!Triangle RST has vertices located at R (2,3), S (4,4), and T (5,0)

Mathematics
1 answer:
shtirl [24]4 years ago
5 0

Answer:

Answers:

k = 13The smallest zero or root is x = -10

===============================

Work Shown:

note: you can write "x^2" to mean "x squared"

f(x) = x^2+3x-10

f(x+5) = (x+5)^2+3(x+5)-10 ... replace every x with x+5

f(x+5) = (x^2+10x+25)+3(x+5)-10

f(x+5) = x^2+10x+25+3x+15-10

f(x+5) = x^2+13x+30

Compare this with x^2+kx+30 and we see that k = 13

Factor and solve the equation below

x^2+13x+30 = 0

(x+10)(x+3) = 0

x+10 = 0 or x+3 = 0

x = -10 or x = -3

The smallest zero is x = -10 as its the left-most value on a number line.

Step-by-step explanation:

If this is wrong i am so sorry i tried my best.

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Does anyone know the answer to this please help
Finger [1]

Answer:

Sin M= 16/34

Cos M= 30/34

Tan M= 16/30

Step-by-step explanation:

3 0
4 years ago
Read 2 more answers
About 9% of the population has a particular genetic mutation. 900 people are randomly selected. Find the standard deviation for
timama [110]

Answer:

The standard deviation is of 8.586.

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they have a genetic mutation, or they do not. The probability of a person having the mutation is independent of any other person, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

Probability of exactly x successes on n repeated trials, with p probability.

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

About 9% of the population has a particular genetic mutation.

This means that p = 0.09

900 people are randomly selected.

This means that n = 900

Find the standard deviation for the number of people with the genetic mutation in such groups of 900.

\sqrt{V(X)} = \sqrt{900*0.09*0.91} = 8.586

The standard deviation is of 8.586.

3 0
3 years ago
A cylindrical soup can has a radius of 1.2 in. and is 6 in. tall. What's the volume?
Sergio [31]

Answer:

Volume= 27. 12inches³

Step-by-step explanation:

to solve this question lets write out the parameters given

radius of the cylinder  = 1.2 inches

height of the cylinder = 6 inches

volume of the cylinder = ?

<u>solution</u>

the fomular to find the volume of a cylinder is given to  be

Volume= πr²h

Volume= 3.14 × ( 1.2)² × 6

Volume= 3.14 × 1.44 × 6

Volume= 27. 12inches³

therefore the volume of the cylinder equals to 27. 12inches³

7 0
3 years ago
Find the factors prime or composite of 16
laiz [17]

The prime factorization of 16 is 2⋅2⋅2⋅2.

The factors of 16 are all numbers between -16 and 16 that divide 16 evenly.−16,−8,−4,−2,−1,1,2,4,8,16

7 0
3 years ago
PLEASE HELP PICTURE SHOWN CHECK ALL THAT APPLY
marusya05 [52]
To find the zeros set the factors on the numerator equal to zero and solve
(x - 1) = 0      x = 1
(x + 1) = 0      x = -1
5 0
3 years ago
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