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3 years ago

Assume you have collected data pairs (x, y) on a certain variety of tree. x is

Mathematics

1 answer:

pashok25 [27]3 years ago

6 0

Answer:

Step-by-step explanation:

The graph is a straight line graph.

Let find the equation of the straight line.

Equation of straight line is given as

y = mx + c

Where m is the slope and c is the intercept.

c is the intercept on y axis where x = 0.

Then, from the graph, where x = 0, y = 23.

Then, the intercept c = 24

First point is (0,24) and second point chosen is (80, 60)

The slope can be determined using

m = ∆y / ∆x = (60-25)/(80-0)

m = 0.4375

Then,

y = 0.4375x + 24

Then, we want to find the age (x) at height y = 50

50 = 0.4375x + 24

0.4375x = 50-24

0.4375x = 26

x = 26 / 0.4375

x =59.43 weeks

Directly from the graph the value is approximately 60weeks

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The perimeter of an equilateral triangle is 6 inches more than the perimeter of a square, and the side of the triangle is 4 inch

soldier1979 [14.2K]

Answer:

The length of the side of the triangle is 10 inches.

Step-by-step explanation:

Let p = perimeter of the equilateral triangle

Let P = perimeter of the square

Let s = length of side of the triangle

Let S = length of side of the square

"The perimeter of an equilateral triangle is 6 inches more than the perimeter of a square"

p = P + 6 Equation 1

"the side of the triangle is 4 inches longer than the side of the square"

s = S + 4 Equation 2

We have 2 equations and 4 unknowns. We need two more equations. We use the definition of perimeter to get the other two equations.

For an equilateral triangle,

p = 3s Equation 3

For a square,

P = 4S Equation 4

Substitute p and P of Equation 1 with equations 3 and 4. Then write equation 2.

3s + 4S = 6

s = S + 4

Now we have a system of 2 equations in 2 unknowns. We can solve for s and S. We can use the substitution method. Solve the second equation for S.

S = 4 - s

Substitute S = 4 - s into equation 3s + 4S = 6.

3s + 4(4 - s) = 6

3s + 16 - 4s = 6

-s = -10

s = 10

Answer: The length of the side of the triangle is 10 inches.

7 0

3 years ago

The area of a parallelogram is 420cm^2 and the height is 35cm. Find the corresponding base.

bearhunter [10]

The answer is 12cm because area (420) divided bye height (35) gives you the corresponding side 12cm.

4 0

3 years ago

Question

Kay [80]

Answer:

$f(x)=2(x-2)(x^2+64)$

Step-by-step explanation:

A standard polynomial in factored form is given by:

$f(x)=a(x-p)(x-q)...$

Where p and q are the zeros.

We want to find a third-degree polynomial with zeros x = 2 and x = -8i and equals 320 when x = 4.

First, by the Complex Root Theorem, if x = -8i is a root, then x = 8i must also be a root.

Therefore, we acquire:

$f(x)=a(x-(2))(x-(-8i))(x-(8i))$

Simplify:

$f(x)=a(x-2)(x+8i)(x-8i)$

Expand the second and third factors:

$=(x+8i)x+(x+8i)(-8i)\\\\=(x^2+8ix)+(-8ix-64i^2)\\\\=(x^2)+(8ix-8ix)+(-64i^2)\\\\=x^2-64(-1)\\\\ =x^2+64$

Hence, our function is now:

$f(x)=a(x-2)(x^2+64)$

It equals 320 when x = 4. Therefore:

$320=a(4-2)(4^2+64)$

Solve for a. Evaluate:

$320=(2)(80)a$

So:

$320=160a\Rightarrow a=2$

Our third-degree polynomial equation is:

$f(x)=2(x-2)(x^2+64)$

7 0

3 years ago

True or false in the function.......

malfutka [58]

It’s false. it’s +2 not -2

4 0

3 years ago

Read 2 more answers

Can someone find the surface area for this?

Ronch [10]

The surface area is 509.4m power of 2? I have absolutely no idea... Maby I'm correct... Probably not. Sorry...

7 0

4 years ago