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Nastasia [14]
2 years ago
5

1.A rectangle is 6 inches longer than its wide.Write and simply an expression for the perimeter of the rectangle.

Mathematics
1 answer:
iris [78.8K]2 years ago
5 0
P = 2L + 2W
L = W + 6
P = 2(W + 6) + 2W
P = 2W + 12 + 2W
P = 4W + 12

5 + 2(3x + 4) + x
5 + 6x + 8 + x
5 + 8 + 6x + x
13 + 7x Stop Don't go any further. That's the 11th commandment: Thou shalt not combine unlike terms.

Paul has a long drive. If Shelly waits up she better have some snacks
4*65 + x = 500 The x stands for the number of miles left to go
270 + x = 500 Subtract 280 from both sides
x = 500 - 270
x = 230

Just so you know if he keeps going at 65 mph the amount time will be
230/65 = 3.53 hours.
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Direction if parabola. x2?6x+8=yx2-6x+8=y
STatiana [176]

{\text{Direction of parabola depends on the sign of quadratic coefficient of a }} \hfill \\

{\text{quadratic equation}}. \hfill \\

{\text{For given quadratic equation}}. \hfill \\

a{x^2} + bx + c = 0 \hfill \\

{\text{The parabola is in the upward direction if }}a{\text{ }} > {\text{ }}0{\text{ and in downward direction if }}a < 0 \hfill \\

{\text{Here, the equation of given parabola is }} \hfill \\

{x^2} - 6x + 8 = y \hfill \\

\Rightarrow y = \left( {{x^2} - 6x + 9} \right) - 9 + 8 \hfill \\

\Rightarrow y = {\left( {x - 3} \right)^2} - 1. \hfill \\

{\text{Thus, the parabola is in the upward direction}} \hfill \\

8 0
3 years ago
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2 years ago
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Step-by-step explanation:

5 0
2 years ago
Slove algebraically<br><br>3x - 4y = -24<br>x +4y=8<br>​
Vanyuwa [196]

Solve algebrically 3x - 4y = -24 and x + 4y = 8 is x = -4 and y = 3

<u>Solution:</u>

We have been given two equations which are as follows:

3x - 4y = -24   ----- eqn 1

x + 4y = 8   -------- eqn 2              

We have been asked to solve the equations which means we have to find the value of ‘x’ and ‘y’.

We rearrange eqn 2 as follows:

x + 4y = 8

x = 8 - 4y  ------eqn 3

Now we substitute eqn 3 in eqn 1 as follows:

3(8 - 4y) -4y = -24

24 - 12y - 4y = -24

-16y = -48

y = 3

Substitute "y" value in eqn 3. Therefore the value of ‘x’ becomes:

x = 8 - 4(3)

x = 8 - 12  = -4

Hence on solving both the given equations we get the value of x and y as -4 and 3 respectively.

5 0
2 years ago
I do not understand how to work out this question please help
enot [183]

a) To find the missing side length on triangle A, we can use the Pythagorean theorem.

a^2 + 12^2 = 13^2

a^2 + 144 = 169

a^2 = 25

a = 5 cm

5 and 12 = 5 and 12

b) The two triangles are congruent because they have two side lengths in common. If at least two side lengths are the same on two triangles, then they are congruent. In addition, these triangles have one angle in common as well.

Hope this helps!! :)

8 0
2 years ago
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