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3 years ago

Write an equation in point slope from for the line through the given point which the given slope

1 answer:

8 0

The equation in point slope is $y-3=6(x-8)$ which is mentioned in option C If the line through the given point which the given slope (8,3), m=6.

Step-by-step explanation:

The given is,

The point - ( 8,3 )

Slope, m = 6

Step:1

Formula for slope of line is,

$Slope,m=\frac{y_{2}-y_{1} } {x_{2}- x_{1} }$ ..................(1)

Here, $(x_{1} ,y_{1} )$ and $(x_{2} ,y_{2} )$ are points and slope (m)

Step:2

From given,

$(x_{1} ,y_{1} )$ - (8, 3)

$(x_{2} ,y_{2} )$ - (x, y)

Substitute the values of points and slope in the equation (1),

$6=\frac{y-8 } {x- 3 }$

Take ( ${x- 8 }$ ) in left side,

$6(x-3)=(y-3)$

$(y-3)=6(x-3)$

Result:

The equation in point slope is $y-3=6(x-8)$ which is mentioned in option C If the line through the given point which the given slope (8,3), m=6.

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The sum of two numbers is 57. The larger number is three less than four times the smaller number. Find the numbers pls help i am

insens350 [35]

Answer: The numbers are 10.8 and 46.2.

Step-by-step explanation: The sum of two numbers is 57.

x + y = 57

Assume x is the larger number.

x - 3 = 4y

x = 4y + 3

Use subsitution.

4y + 3 + y = 57

y = -4y - 3 + 57

y = -4y + 54

5y = 54

y = 10.8

Plug in y.

x + 10.8 = 57

x = 46.2

Check.

46.2 - 3 = 4(10.8)

43.2 = 43.2

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2 years ago

Read 2 more answers

Ruth and Juan Dimas would like yo borrow $2,600 for 90 days to pay their real estate tax. State savings and Loan charges 7.25 pe

steposvetlana [31]

Answer:

$2647.13

$2648.08

Step-by-step explanation:

To solve for the value of each loan we will use the formula:

$A=P(1+rt)$

Let's break down the variables that we have.

P = $2,600

r = 7.25% or 0.0725

r2 = 7.50% or 0.0750

t = 90 days

Now since we're computing for two different types of interest, let's take it one at a time.

First the State Saving and Loan.

In this situation we are solving for ordinary interest, where we compute with the total number of days are 360

$A=P(1+rt)$

$A=2,600(1+(0.0725)(\dfrac{90}{360})$

$A=2,600(1+(0.0725)(0.25)$

$A=2,600(1+0.018125)$

$A=2,600(1.018125)$

$A=2,647.13$

The maturity value of State Savings and Loan is $2,647.13.

Now let's move on to the Security bank.

The security bank charges 7.5% exact interest. For exact interest we use 365 days.

$A=2,600(1+(0.0750)(\dfrac{90}{365})$

$A=2,600(1+(0.0750)(0.246575)$

$A=2,600(1+(0.0184931)$

$A=2,600(1.0184931)$

$A=2,648.08$

The maturity value of the Security bank is $2,648.08.

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4 years ago

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AVprozaik [17]

Answer:

3.14

Step-by-step explanation:

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3 years ago

Please help ill give brainiest answer

trapecia [35]

Answer:

1: AAS, RQC 2: ASA, SRP

Step-by-step explanation:

(1) We are shown that two angles and one side are congruent in the order of AAS. Make sure you write the letters in terms of the corresponding angles. The angles and sides are congruent because the problem labels it for us. For example, B,A,C=R,Q,S. Answers: AAS, RQC.

(2) We are shown that two angles and one side are congruent in the order of ASA. Make sure you write the letters in terms of the corresponding angles again. For example, P,Q,R=P,S,R. The angles are congruent because the problem labels it for us. Side PR is congruent to side PR by reflexive property. Answers: ASA, SRP.

I hope this helped :) Good luck

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3 years ago

Solve for x for #5 and 6

Alex777 [14]

Answer:

In 5:

UM and MS are equal since the diagonals US and VT have perpendicularly bisected each other.

So,15=6x-3

15+3=6x

18=6x

3=x

In 6:

ET=TC

8=x-4

8+4=x

12=x

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3 years ago