Which two numbers add up to 27 and multiply to -160?

I. Find the following product using identities : 1. (2Z + 5) (2Z + 5)

aliya0001 [1]

Using the identity (a+b)(a+b) = a^2 + 2ab + b^2 we get the answer 4Z^2 + 20Z + 25

8 0

3 years ago

PLS help ASAp only available until 11:59

sergij07 [2.7K]

Answer:

1

2

3

6

4

this is the answee

3 0

3 years ago

A glacier moves about 12 inches every 36 hours. About how far does the glacier move in 1 week?

yaroslaw [1]

$\begin{array}{cccccc}12in&-&36h&/:3\\\\4in&-&12h&/\cdot2\\\\8in&-&24h=1day&/\cdot7\\\\42in&-&7day=1week\end{array}\\\\\\\\Answer:42\ inches.$

6 0

3 years ago

Read 2 more answers

WILL MARK BRAINIEST!! 50 POINTS.

galben [10]

Answer:

Part A: The two types of types of transformation are

1) Rotation of 11.3° about (1, 2)

2) By algebraic transformation

Part B:

Rotation by 11.3° and T(2 - y)×1/2 + x, 0)

Part C: The transformation that can be used to transform f(x) to g(x) is T(2 - y)×1/2 + x, 0)

Step-by-step explanation:

The coordinates through which the linear function f(x) passes = (1. 3) and (3, 13)

The coordinates through which the linear function g(x) passes = (1, 3) and (1, 13)

The equation for f(x) in slope and intercept form. y = m·x + c is given as follows;

The slope, m = (13 - 3)/(3 - 1) = 5

The equation in point and slope form is y - 3 = 5×(x -1)

y = 5·x - 5 + 3 = 5·x - 3

y = 5·x - 3

The equation for g(x) in slope and intercept form. y = m·x + c is given as follows;

The slope, m = (13 - 3)/(1 - 1) = ∞

∴ The equation in point and slope form is x = 1

Therefore, the two equations meet at the point (1, 2)

The transformation that can be used to transform f(x) to g(x) is T(2 - y)×1/2 + x, 0)

2) Another transformation that can be used is to rotate f(x) by the vertex angle as follows

Vertex angle is 90° - tan⁻¹(m) = 90° - tan⁻¹(5) ≈ 11.3°

Rotation of f(x) by 11.3° about (1, 2) gives g(x)

Hope this helped!

7 0

2 years ago

Read 2 more answers

Norm must pay to have trash collected he can put out 1 barrel of trash per week a rectangler container measure 32 inches by 18 i

Ainat [17]

Answer:

The Cycling Rick container can hold more trash.

Step-by-step explanation:

The rectangular container is basically a rectangular prism, so to find its volume, we are using the formula for the volume of a rectangular prism:

$V=whl$

where

$V$ is the volume

$w$ is the width

$h$ is the height

$l$ is the length

We know that the rectangular container is 32 inches by 18 inches by 10 inches, so $l=32in$ , $w=18in$ , and $h=10in$ . Let's replace the values in our formula:

$V=whl$

$V=(18in)(10in)(32in)$

$V=5760in^3$

The rectangular container can hold 5760 cubic inches of trash.

Now, the Cycling Rick container is basically a cylinder, so to find its volume, we are suing the formula for the volume of a cylinder:

$V=\pi r^2h$

where

$V$ is the volume

$r$ is the radius

$h$ is the height

We know that the its height is 30 inches, so $h=30in$ . Since the container is 20 inches wide, its diameter is 20 inches, and since the radius is half the diameter, $r=\frac{20in}{2} =10in$ . Let's replace the values:

$V=\pi r^2h$

$V=\pi (10in)^2(30in)$

$V=9424.78in^3$

The Cycling Rick container can hold 9424.78 cubic inches of trash.

Since 9424.78 cubic inches is bigger than 5760 cubic inches, we can conclude that the Cycling Rick container can hold more trash.

3 0

3 years ago