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3 years ago

The perimeter of a triangle is 64'. If one side is x feet, the second side is 3x + 1 feet and the third

Mathematics

1 answer:

Dominik [7]3 years ago

4 0

One side is 9.
second side (3x+1) is 28.
third side (4x-9) is 27.

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Find the slope and y intercept of the line y=7/5x-3 5/7; 3 3; 7/5 7/5;-3 -3; 7/5

7nadin3 [17]

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

From the question

y = 7/5x - 3

Comparing with the above formula

<h3>Slope / m = 7/5</h3><h3>c/ y intercept = - 3</h3>

Hope this helps you

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Surface area of a prism please help its my last day 120 points

elena-s [515]

Answer:

Area of the base = (8×6)/2 = 24 yd²

Height of the prism = 8 yd

Perimeter of the base = 8+6+10 = 24 yd

Surface area = 2B + Ph = (2×24)+(24×8) = 48+192 = 240 yd²

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3 years ago

Vita has 8 times more candy than Anna, but Uldis has 10 candies more than Anna.

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3 years ago

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Find the average value of the function on the given interval.<br> f(x)=2 ln x; [1,e]

JulijaS [17]

Answer:

$f_{avg}=\frac{1}{e-1}$

Step-by-step explanation:

We are given that a function

$f(x)=2lnx$

We have to find the average value of function on the given interval [1,e]

Average value of function on interval [a,b] is given by

$\frac{1}{b-a}\int_{a}^{b}f(x)dx$

Using the formula

$f_{avg}=\frac{1}{e-1}\int_{1}^{e}lnx dx$

By Parts integration formula

$\int(uv)dx=u\int vdx-\int(\frac{du}{dx}\int vdx)dx$

u=ln x and v=dx

Apply by parts integration

$f_{avg}=\frac{1}{e-1}([xlnx]^{e}_{1}-\int_{1}^{e}(\frac{1}{x}\times xdx))$

$f_{avg}=\frac{1}{e-1}(elne-ln1-[x]^{e}_{1})$

$f_{avg}=\frac{1}{e-1}(e-0-e+1)=\frac{1}{e-1}$

By using property lne=1,ln 1=0

$f_{avg}=\frac{1}{e-1}$

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3 years ago

Trigonometric Ratios

Burka [1]

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Step-by-step explanation:

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