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3 years ago

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Write an equation that passes through (4,5) and is parallel to (11,4)

1 answer:

Leona [35]3 years ago

5 0

$\boxed{y-5=-\frac{1}{7}(x-4)}$

<h2>Explanation:</h2>

As I understand you need the equation of the line that passes through the point $(4,5) \ and \ (11,4)$ , So the point-slope form of the equation of a line is given by:

$y-y_{1}=m(x-x_{1}) \\ \\ \\ Where: \\ \\ (x_{1},y_{1}):A \ point \ on \ the \ line \\ \\ m:Slope$

So:

$y-y_{1}=m(x-x_{1}) \\ \\ \\ m=\frac{4-5}{11-4} \\ \\ m=-\frac{1}{7} \\ \\ \\ So: \\ \\ y-5=-\frac{1}{7}(x-4)$

<h2>Learn more:</h2>

Parallel lines: brainly.com/question/12169569

#LearnWithBrainly

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stira [4]

You’re correct, it’s 16. Constant proportionality mean how much Y moves. So it’s 16!

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3 years ago

The area of a parallelogram is 60 feet the height 5 feet how long is the base

Kobotan [32]

Hello!

We have to use a certain formula to find the area of a parallelogram. The formula is:

A = bh

Since we already have the area and the base of the parallelogram, we will be able to find the height!

Notice how we multiply the base by the height to find the area? Well, we'll have to do the opposite to find one of its dimensions.

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Formula for base:

B = A ÷ h

Substitute:

B = 60 ÷ 5

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4 years ago

Solve x4 – 17x2 + 16 = 0.<br> Let u =<br> Select all of the zeroes of the function. i i

Soloha48 [4]

$Solve \ x^4 - 17x^2 + 16 = 0$

To solve this equation , we need to write it in quadratic form

$ax^2+bx+c=0$

To get the equation in quadratic form we replace x^2 with u

$x^2 = u$

$x^4 - 17x^2 + 16 = 0$ can be written as

$(x^2)^2 - 17x^2 + 16 = 0$ , Replace u for x^2

So equation becomes

$u^2 - 17u + 16 = 0$

Now we factor the left hand side

-16 and -1 are the two factors whose product is +16 and sum is -17

(u-16) (u-1) = 0

u -16 = 0 so u=16

u-1 =0 so u=1

WE assume u = x^2, Now we replace u with x^2

$u = 16 so \ it \ becomes \ x^2 =16$

Now take square root on both sides , x= +4 and x=-4

$u = 1 so \ it \ becomes \ x^2 =1$

Now take square root on both sides , x= +1 and x=-1

So zeros of the function are -4, -1, 1, 4

8 0

3 years ago

Read 2 more answers

Choose the correct algebraic expression for the following: the quotient of y and 7

Levart [38]

Answer:

y ÷ 7

Step-by-step explanation:

Quotient is code for divide.

We don't want to subtract so the first option isn't correct

We don't want to add so the second one isn't correct

We don't want to multiply so the third one isn't correct

This leaves us with our last option which is correct.

7 0

4 years ago

Which sequence could be described by the explicit definition: a n = n 2 − 5

kirza4 [7]

The sequence represented by given explicit definition is:

-4,-1,4,11,20,....

Step-by-step explanation:

We will find the terms of the sequence to find the right sequence for given explicit definition

Given explicit formula is:

$a_n=n^2-5$

We will put n=1,2,3,4,5...... in the formula

So,

Putting n=1

$a_1=(1)^2-5\\=1-5\\=-4$

Putting n=2

$a_2=(2)^2-5\\=4-5\\=-1$

Putting n=3

$a_3=(3)^2-5\\=9-5\\=4$

Putting n=4

$a_4=(4)^2-5\\=16-5\\=11$

so, comparing the values with given options we can conclude that

The sequence represented by given explicit definition is:

-4,-1,4,11,20,....

Keywords: Sequence, Explicit definition

Learn more about sequences at:

#LearnwithBrainly

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3 years ago