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horrorfan [7]
2 years ago
14

The base of a rectangle is 13 centimeters longer than the height.If the perimiter is 58 centimeters find the base and the height

of the rectangle
Mathematics
1 answer:
Yuri [45]2 years ago
8 0

Answer:

Base: 8cm. Height: 21cm

Step-by-step explanation:

We know that the base of a rectangle is 13 cm. longer than the height and the perimeter is 58 cm. Here is how we would set up the problem:

2x+2(x+13)= 2x + 2x + 26 = 4x + 26 = 58 (now we use the distributive property:

4x + 26 = 58

       -26   -26

4x = 32

So, the base is 8 cm.

Now it's time to find the height.

So, we know the base (in total) is 16 cm. Now we do 58-16=42. Now we divide 42 divided by 2 = 21 cm.

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Write the inverse of h(x) = e 2x <br>h -1(x) = <br><br>log e2 x <br>2log ex <br>½log ex
svp [43]

Answer:

C

Step-by-step explanation:

So we have the function:

h(x)=e^{2x}

To find the inverse, switch h(x) and x, change h(x) to h⁻¹(x), and solve for it. Thus: "

x=e^{2h^{-1}(x)}

So, take the natural log (log to base e) of both sides:

\ln(x)=\ln(e^{2h^{-1}(x)})

The right side will cancel:

\ln(x)=2h^{-1}(x)

Divide both sides by 2:

h^{-1}(x)=\frac{1}{2}\ln(x)

And we're done!

Our answer is C

Note:

\ln(x)=\log_ex

6 0
3 years ago
At what root does the graph of f(x)=(x+4)^6(x+7)^5 cross the x axis?
xz_007 [3.2K]

Answer:

f(x) crosses the x-axis, then

f(x)=(x+4)^6(x+7)^5 = 0

=> x+4 =0 or x+7=0

=> x =-4 or x = -7

5 0
3 years ago
Tareq pays $22.10 for 2.6 pounds of salmon. what is the price per pound of the salmon?
Juliette [100K]
What i would do since $22.10 for 2.6 find out how much 1 pound of salmon is

so divide $22.10 by 2.6

which would equal $8.50

$8.50 per pound of salmon

hope this helped :>

7 0
2 years ago
Read 2 more answers
Write the equation of the line with a slope of 2 that passes through the points -2,-7 and 5,7
lubasha [3.4K]

Answer:

Therefore the equation of the line through ( -2 , -7 ) and ( 5 , 7 ) is

2x - y = 3

Step-by-step explanation:

Given:

Slope = 2 = m ( say )

Let,

point A( x₁ , y₁) ≡ ( -2 , -7 )

point B( x₂ , y₂) ≡ ( 5 , 7 )

To Find:

Equation of Line AB =?

Solution:

Equation of a line passing through Two points A( x₁ , y₁) and B( x₂ , y₂)is given by the formula,

(y - y_{1} )=(\frac{y_{2}-y_{1} }{x_{2}-x_{1} })\times(x-x_{1}) \\

Or

Equation of a line passing through a points A( x₁ , y₁) and i having slope m is given by the formula,

(y - y_{1} )=m\times(x-x_{1}) \\

Substituting the given values in a above equation we get

(y-(-7))=2\times (x-(-2))\\ \\(y+7)=2(x+2)\\\\(y+7)=2x+4\\2x-y=3\\2x-y=3...............\textrm{which is the required equation of the line AB}

Therefore the equation of the line through ( -2 , -7 ) and ( 5 , 7 ) is

2x - y = 3

8 0
3 years ago
Pls help ur girl out with math
Zinaida [17]
135 degrees is your answer
8 0
3 years ago
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