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gayaneshka [121]
3 years ago
7

(4,7) y=3x+6 write an equation passing through the point and parallel to the given line

Mathematics
1 answer:
Elis [28]3 years ago
4 0

So, we will be using point-slope form to construct this equation.


Point-slope form's general formula is as follows:

Y-Y_1=m(X-X_1)

M is the slope,

Y₁ is the Y-coordinate of the point

X₁ is the X- coordinate of the point.


So, our slope is 3 (since the equation is given in slope-intercept form)

Our Y₁ is 7 and out X₁ is 4


So, now we just plug our numbers into the equation.

Y-7 = 3(X-4)


There's your equation.


Hope this helps!

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The table shows transactions from five different bank accounts. Fill in the missing numbers. ( THE IMAGE ATTACHED PLEASE)
velikii [3]

Answer:

Part 1) A=80

Part 2) B=-25

Part 3) C=-40

Step-by-step explanation:

we know that

The old account balance plus the transaction amount is equal to the new account balance

The transaction amount can be a positive number (example a deposit) or a negative number (example a withdrawal)

Part 1) Find the value of A

432+A=512

solve for A

subtract 432 both sides

A=512-432=80

Part 2) Find the value of B

75-100=B

solve for B

-25=B

Rewrite

B=-25

Part 3) Find the value of C

C+52=12

solve for C

subtract 52 both sides

C=12-52

C=-40

4 0
3 years ago
PLEASE HELP!
fenix001 [56]

Answer:

No

Step-by-step explanation:

No because (1,2) falls on the line, and the line is a dotted line, which means that any point on the line is not a solution to the inequality.

5 0
3 years ago
£70 is divided between Natasha, Richard & Stephen so that Natasha gets twice as much as Richard, and Richard gets three time
Korvikt [17]

The share of Natasha is £ 42

<em><u>Solution:</u></em>

£70 is divided between Natasha, Richard & Stephen

Total amount = 70

Let the share of natasha be "x"

Let the share of richard be "y"

Let the share of stephen be "z"

Natasha gets twice as much as Richard

x = 2y ------ eqn 1

Richard gets three times as much as Stephen

y = 3z

z = \frac{y}{3} ----- eqn 2

Total amount = 70

share of natasha + share of richard + share of stephen = 70

x + y + z = 70

Substitute eqn 1 and eqn 2

2y + y + \frac{y}{3} = 70\\\\\frac{6y+3y+y}{3} = 70\\\\10y = 210\\\\y = 21

Substitute y = 21 in eqn 1

x = 2y = 2(21) = 42

x = 42

Thus natasha gets £ 42

6 0
3 years ago
Order the following values least to greatest .
fgiga [73]

Answer:

2 3/10, 2.59, 24

Step-by-step explanation:

4 0
3 years ago
Find the value of x from the equation
Jobisdone [24]

\dfrac{8^{3x}}{2^{10}}=\dfrac{4^{2x}}{16} \\\dfrac{2^{3(3x)}}{2^{10}}=\dfrac{4^{2x}}{4^2} \\2^{9x-10}=4^{2x-2} \\2^{9x-10}=2^{2(2x-2)} \\2^{9x-10}=2^{4x-4} \\9x-10=4x-4 \\5x-6=0 \\5x=6 \\\boxed{x=\dfrac{6}{5}}

Hope this helps.

r3t40

3 0
3 years ago
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