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3 years ago

How would I solve this

Mathematics

2 answers:

kondor19780726 [428]3 years ago

5 0

The formula of the area of a rectangle is A = LW
You have been given the length and width as (x+1) and (x+3). You've also been given the area, 80 ft2

So we can substitute what we have in the formula as follows

80 = (x+1)(x+3)

If we FOIL the right side of the equation, we have

80 = x2+4x+3

Let's bring the 80 to the right side of the equation so that we have an equation equal to 0.

x2+4x-77 = 0

We can factor this as
(x+11)(x-7) = 0

So,
x+11 = 0 This gives us x=-11 which would yield dimensions of -10 and -8. Since we can't have negative dimensions, let's check the other factor.
x-7=0, giving us x=7
So the dimensions of the porch are
(7+1) and (7+3)

The porch is 8 x 10

Feliz [49]3 years ago

3 0

What are you solving for???

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vredina [299]

Answer:

G=23/16

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

Which rule deacribes the

Marysya12 [62]

Answer:

A. ${T_{-6,-2}}\circ {r_{x-axis}}(x,y)$

Step-by-step explanation:

We have that, ΔABC is transformed to get ΔA''B''C''.

We see that the following transformations are applied:

1. Reflection across x-axis i.e. flipped across x-axis.

Now, ΔABC is reflected across x-axis along the line AC to get ΔA'B'C'.

2. Translated 2 units down i.e. shifted 2 units down and and then translated 6 units to the left i.e. shifted 6 units to the left.

So, ΔA'B'C' is translated 2 units downwards and 6 units to the left to get ΔA''B''C''.

Hence, the sequence of transformations is Reflection across x-axis and then Translation of 2 units down and 6 units left.

6 0

3 years ago

A volume of the cone is (1/3) the volume of a cylinder. The volume of the sphere is what fraction of the volume of the cylinder?

xenn [34]

Answer:

4/3

Step-by-step explanation:

To know this, let's write down the formulas for the volume of cylinder and sphere.

Vs = 4/3πr³ (1)

Vc = π r² h (2)

Now, we do have a little problem here and its the fact that the sphere do not have a height like the cylinder do. But in this case so if you want to have an idea of the fraction of the volume, we will assume that the cylinder has the same height as its radius. Assuming this we have the following:

Vs / Vc = 4πr³ / 3πr²h

Vs/Vc = 4πr³ / 3πr³

From here, we can cancel out the values of π and r³:

Vs/Vc = 4/3

Thus we can conclude that the volume of the sphere is 4/3 the volume of a cylinder.

Hope this helps

8 0

2 years ago

What's the inverse of f(x)=3x^2+6?

djyliett [7]

Switch where the x and y are, then solve for y. f(x) = y.

x = 3y^2 + 6

x-6 = 3y^2

(x-6)/3 = y^2

f^-1(x) = y = sqrt((x-6)/3)

5 0

3 years ago

Find the length of side X

NISA [10]

Answer:

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

The square on the hypotenuse is equal to the sum of the squares on the 2 other sides, that is

x² + 6² = 17²

x² + 36 = 289 ( subtract 36 from both sides )

x² = 253 ( take the square root of both sides )

x = $\sqrt{253}$ → C

7 0

3 years ago