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3 years ago

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Point J is on line segment \overline{IK} IK . Given IK=5x,IK=5x, IJ=4,IJ=4, and JK=4x,JK=4x, determine the numerical length of \

overline{IK}. IK

1 answer:

Fudgin [204]3 years ago

6 0

Answer:

IK = 20

Step-by-step explanation:

If Point J is on the line segment IK, then;

IK = IJ + JK

Given that

IJ = 4

IK = 5x

JK = 4x

Substitute into the expression

5x = 4 + 4x

5x - 4x = 4

x = 4

Get the value of IK

IK = 5x

IK = 5(4)

IK = 20

Hence the numerical length of IK is 20

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4 years ago

Find the y please use the screen shot

Vikki [24]

Answer:

y = 0.3

Step-by-step explanation:

Solve for y:

$\longrightarrow$ (3.2y - 1.8) - (5.2 y + 3.4) = -5.8

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$\longrightarrow$ 3.2y - 1.8 -5.2y - 3.4 = -5.8

Grouping like terms, 3.2y - 1.8 - 5.2y - 3.4 = (3.2y - 5.2y) + (-1.8 - 3.4):

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Add 5.2` to both sides:

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$\longrightarrow$ -2y = 5.2 - 5.8

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3 years ago

Ann took a taxi home from the airport to taxi fare was $2.10 per mile and she gave the driver a tip of five dollars and paid a t

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Answer:

2.10x+5=49

Step-by-step explanation:

2.10x represents how much she is paying per mile

The five represents the tip she gave the driver

49 represents the total amount she paid

With this information, you can create this equation to solve for the amount of miles.

Hope this helps!

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3 years ago

WILL MARK BRAINLIEST!!! 40 POINTS!! ACTUAL ANSWERS, PLZZZ

steposvetlana [31]

Answer:

Part A:

$\left(x + 7\right)^{5}=x^{5} + 35 x^{4} + 490 x^{3} + 3430 x^{2} + 12005 x + 16807$

Part B:

The closure property describes cases when mathematical operations are CLOSED. It means that if you apply certain mathematical operations in a polynomial it will still be a polynomial. Polynomials are closed for sum, subtraction, and multiplication.

It means:

$\text{Sum of polynomials } \Rightarrow \text{ It will always be a polynomial}$

$\text{Subtraction of polynomials } \Rightarrow \text{ It will always be a polynomial}$

$\text{Multiplication of polynomials } \Rightarrow \text{ It will always be a polynomial}$

But when it is about division:

$\text{Division of polynomials } \Rightarrow \text{ It will not always/sometimes be a polynomial}$

<u>Example of subtraction of polynomials:</u>

<u /> $(2x^2+2x+3) - (x^2+5x+2)$ <u />

<u /> $x^2-3x+1$ <u />

Step-by-step explanation:

<u>First, it is very important to define what is a polynomial in standard form: </u>

It is when the terms are ordered from the highest degree to the lowest degree.

Therefore I can give:

$x^5-5x^4+3x^3-3x^2+7x+20$

but,

$x^5+3x^3-3x^2+7x+20-5x^4$ is not in standard form.

For this question, I can simply give the answer: $x^5-5x^4+3x^3-3x^2+7x+20$ and it is correct.

But I will create a fifth-degree polynomial using this formula

$(a+b)^n=\sum_{k=0}^n \binom{n}{k} a^{n-k} b^k$

Also, note that

$\binom{n}{k}=\frac{n!}{(n-k)!k!}$

For $a=x \text{ and } b=7$

$\left(x + 7\right)^{5}=\sum_{k=0}^{5} \binom{5}{k} \left(x\right)^{5-k} \left(7\right)^k$

$\text{Solving for } k \text{ values: } 0, 1, 2, 3, 4 \text{ and } 5$

Sorry but I will not type every step for each value of $k$

The first one is enough.

For $k=0$

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Doing that for $k$ values:

$\left(x + 7\right)^{5}=x^{5} + 35 x^{4} + 490 x^{3} + 3430 x^{2} + 12005 x + 16807$

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3 years ago

Malory got a 75% on her math test. to earn that score, she got 27 questions correct. he many questions were on the test?

aivan3 [116]

100-75=25
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4 years ago