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ivanzaharov [21]
3 years ago
15

What's 5x - 4x to the second power + 3 in standees form?

Mathematics
1 answer:
Pani-rosa [81]3 years ago
5 0
(5x - 4x)² + 3

(5x - 4x)(5x - 4x) + 3

Simplify.

25x² - 20x² - 20x² + 16x² + 3

Add like terms.

(25x² - 20x²) + (-20x² + 16x²) + 3

Simplify.

5x² - 4x² + 3

Simplify once more.

x² + 3

~Hope I helped!~
You might be interested in
PLEASE HELP!!! Trapezoid ABCD was dilated to create trapezoid A'B'C'D'. Which statements are true about the trapezoids? Check al
hichkok12 [17]

Answer:

Option A , B and D are true.

The statement which are true:

The length of side AD is 4 units

The length of side A'D' is 8 units.

The scale factor is, \frac{1}{2}

Step-by-step explanation:

Given in figure trapezoid ABCD;

The coordinates of ABCD are:

A= (-4, 0)

B = (-2, 4)

C = (2,4)

D = (4, 0)

Since, trapezoid ABCD was dilated to create trapezoid A'B'C'D' as shown in figure;

The coordinates of A'B'C'D' are;

A' =(-2, 0)

B'=(-1, 2)

C' = (1, 2)

D' = (2, 0)

First calculate the length of AD

Using Distance formula for any two points i.e,

\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Since, A = (-4, 0) and D = (4, 0)

then;

Length of AD =  \sqrt{(4-(-4))^2+(0-0)^2}  = \sqrt{(4+4)^2} =\sqrt{64}=8 units

Therefore, the length of side AD is, 8 units.

Similarly find the length of A'D'.

Where A' = (-2, 0) and D' =(2,0)

Using distance formula:

Length of A'D' = \sqrt{(2-(-2))^2+(0-0)^2} =\sqrt{(2+2)^2}= \sqrt{4^2} = 4

Therefore, the length of side A'D' is, 4 units.

Now, find the slope of CD and C'D'

where C =(2, 4) , D = (4, 0) , C' = (1, 2) and D' =(2,0)

using slope formula for any two points is given by:

Slope = \frac{y_2-y_1}{x_2-x_1}

Slope of CD = \frac{0-4}{4-2} = \frac{-4}{2} = -2

Similarly,

Slope of C'D' = \frac{0-2}{2-1} = \frac{-4}{2} = -2

Since, Sides CD and C'D' have same slope i.e, -2

Scale factor(k) states that every coordinate of the original figure has been multiplied by the scale factor.

  • If k > 1, then the  image is an enlargement.
  • if 0<k< 1, then the image is a reduction.
  • If k = 1, then the figure and the image are congruent.

The rule for dilation with scale factor(k) is;

(x, y) \rightarrow (kx , ky)

To find the scale factor:

A = (-4, 0) and A' = (-2, 0)

(-2, 0) \rightarrow (-4k , 0)

On comparing we ghet;

-4k = -2

Divide -4 both sides we get;

k = \frac{1}{2}

∴ The Scale factor is, k = \frac{1}{2}

Since, k < 1 which implies the image is a reduction.

Therefore, the statements which are true regarding about trapezoids are;

The length of side AD is 4 units

The length of side A'D' is 8 units.

The scale factor is, \frac{1}{2}

6 0
3 years ago
The diagram shows a sketch of a survey done by a civil engineering student .Find the value of x,giving your answer correct to 1
Hatshy [7]

You can do this by drawing one line through parallel to PQS to meet RQ at T

Now calculate length of RT:-

cos 70 = RT / 70 giving RT = 23.94m

sin 70 = ST/70 giving ST = 65.78 m

draw a line from S perpendicular to PQ to meet PQ at U.

PU = 110 - 65.78 = 44.22 m

tan 50 = SU / 44.22 giving SU = 52.70 m

TQ = SU = 52.70 m

So x = TQ + RT = 52.70 + 23.94 = 76.6 m to 1 dec place.

7 0
3 years ago
List all the factors of 16​
Natasha2012 [34]

1 x 16 , 2 x 8 , 4 x 4

4 0
3 years ago
This is for a grade,Please help me out as much as you can!!!
kolbaska11 [484]

Answer:

a

Step-by-step explanation:

5 0
3 years ago
HELP ME SOMEONE PLEASE :(
Lemur [1.5K]

Answer: The answer is A.

Step-by-step explanation:

The formula for the area of circles:

A = πr^2

Plug in the radius

A = π8^2

A = π64

A = 201.06192983/ 201 (rounded)

3 0
3 years ago
Read 2 more answers
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