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cupoosta [38]
3 years ago
15

A student says the prime factors of 17 are 1 and 17. is the student correct?​

Mathematics
1 answer:
Ksivusya [100]3 years ago
7 0

Answer: yes

A prime factor is number that can only divided by itself and one

Since, 17 can only be divided by 17 and 1, the student is correct

Step-by-step explanation:

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Unit 6lesson 4 practice problems:
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A) 9
B) 77
C)-36.5
D)0.06
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3 years ago
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Aramp is 17 feet long, rises 8 feet above the floor, and covers a horizontal distance of 15 feet, as shown in the figure.
bonufazy [111]

Answer:

The ratio of Tan B is

\tan B= \dfrac{AC}{BC}=\dfrac{8}{15}

OR

\tan A= \dfrac{BC}{AC}=\dfrac{15}{8}

Step-by-step explanation:

In Right Angle Triangle ABC

angle C = 90°

AB = Ramp = 17 feet

BC =Horizontal distance = 15 feet

AC = Height from floor = 8 feet

To Find:

Ratio of Tan B = ?

Solution:

In Right Angle Triangle ABC By Tangent Identity we have

\tan B= \dfrac{\textrm{side opposite to angle B}}{\textrm{side adjacent to angle B}}

Substituting the given values we get

\tan B= \dfrac{AC}{BC}=\dfrac{8}{15}

OR

\tan A= \dfrac{BC}{AC}=\dfrac{15}{8}

5 0
3 years ago
The graph of a quadratic function has a vertex at (5,3) and goes through the point (-1,-9). What is the equation of the function
kotegsom [21]

Answer:

y=-\frac{1}{3} (x-5)^2+3

Step-by-step explanation:

We are given the following;

  • Vertex of a quadratic function = (5,3)
  • A point where the function passes through (-1, -9)

Required to determine the equation of the function;

  • We need to know the vertex form of a quadratic function is;

y=a(x-h)^2+k, where h and k correspond to the vertex (h,k)

  • Therefore, we can replace the variables h and k of the vertex in the equation;

That is;

y=a(x-5)^2+3

Then we use the equation and the point given to solve for a

x = -1 and y = -9

We get;

-9=a(-1-5)^2+3\\-9 = a(36) + 3\\-9 - 3 = 36a\\-12 =36a \\a=-\frac{1}{3}

Substituting the values of a, h and k in the equation, we get;

y=-\frac{1}{3} (x-5)^2+3

Thus, the equation of the function in the vertex form is y=-\frac{1}{3} (x-5)^2+3

8 0
3 years ago
If a is the least common multiple of 12, 24, and 36, and b is the lowest prime number, what is the sum of a and b
omeli [17]

Answer:

Step-by-step explanation:

12=2×2×3

24=2×2×3

36=2×2×3×3

L.C.M.=2×2×3×3=36

lowest prime number=2

sum=36+2=38

6 0
3 years ago
Will give brainliest. A farmer is painting a new barn. He will need to calculate the surface area of the barn to purchase the co
Maslowich

Answer:

yd^2

Step-by-step explanation:

I took the test :)

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