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3 years ago

The length of a rectangle is 6 feet and the width is 3 feet. Find the perimeter

Mathematics

1 answer:

4vir4ik [10]3 years ago

6 0

Answer:

Step-by-step explanation:

6+6+3+3

6+6+6

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Find the value of y in the solution to the system of equations shown. y= 12x+7 y=-6x+25

padilas [110]

Answer: The required value of y is 19.

Step-by-step explanation: We are given to find the value of y in the solution to the following system of equations :

$y=12x+7~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\y=-6x+25~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)$

Comparing equations (i) and (ii), we get

$12x+7=-6x+25\\\\\Rightarrow 12x+6x=25-7\\\\\Rightarrow 18x=18\\\\\Rightarrow x=\dfrac{18}{18}\\\\\Rightarrow x=1.$

From equation (i), we get

$y=12\times1+7=12+7=19.$

Thus, the required value of y is 19.

4 0

3 years ago

Read 2 more answers

Which exponential equation is equivalent to this logarithmic equation log x5 + log x12 =7

trapecia [35]

Answer:

x⁷ = 60

Step-by-step explanation:

Given :-

log x⁵ + log x ¹² = 7 .

To Find :-

The expotential equation .

Solution :-

Given logarithmic equation is ,

⇒ log x⁵ + log x ¹² = 7

⇒ log x ⁵ * ¹² = 7 [ log aⁿ + log aⁿ' = log aⁿ * ⁿ' ]

⇒log x ⁶⁰ = 7

In expotential form we can write it as ,

⇒ x⁷ = 60

5 0

3 years ago

HELP DUE IN 5 MINUTES

Daniel [21]

$\huge \mathfrak \blue{Solution \: - }$

The formula for area of triangle is -

$\frac{1}{2} \times base \times height$

________________________________

So, the area of first triangle =

$\frac{1}{2} \times base \: \times height$

$\frac{1}{2} \times 4 \times 3$

$= \pink{6 \: units}$

________________________________

Area of second triangle =

$\frac{1}{2 } \times base \times height$

$\frac{1}{2} \times 4 \times 6$

$= \pink {12 \: units}$

________________________________

Area of second triangle - Area of first triangle

$= 12 - 6$

$= 6$

$\sf \underline\purple{The \: area \: increases \: by \: 6 \: square \: units.}$

3 0

3 years ago

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Colin invests £4000 into his bank account. He receives 5% per year simple interest. How much will Colin have after 3 years? Give

MakcuM [25]

Answer:

2750

Step-by-step explanation:

7 0

3 years ago

Divide 2y2 + 8 by 2y + 4. Which expression represents the quotient and remainder?

weeeeeb [17]

When 2(y^2) + 8 is divided by 2y + 4 is equal to (y - 2) + (16 / (2y + 4)). The expression represents the quotient is the 2y + 4. While the expression represent the remainder is 16 / (2y + 4). The remainder of the given expression can also be solve using the remainder theorem.

4 0

3 years ago

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