How many lines of symmetry does this figure have

Answer:

(x + 1)(x + 2)(2x + 1)(x - 3).

Step-by-step explanation:

From the leading and last coefficients, 2 and -6  the values +/- 1, +/-2 , +/- 3 could be roots of this equation ( well, up to 4 of them).

Try x = 1:

f(1) = 2(1)^4 + 1^3 - 14(1)^2 - 19(1) - 6 = -36 so its not 1.

f(-1) = 2 - 1 - 14 + 19 - 6 = 0 do x = -1 is a root.

Therefore (x + 1) is a factor  (By the factor theorem)

Try x = 2:

f(2) =  32 + 8 -56 - 38 - 6 = -6o so x =2 not a root.

f(-2) = 32 - 8 - 56 + 38 - 6 = 0 so x = -2 is a root and (x + 2) is a factor.

(x + 1)(x + 2) = x^2 + 3x + 2.

Long division:

                        2x^2 - 5x - 3   <-----------Quotient

                      --------------------------------------------

x^2 + 3x + 2 )     2x^4  +   x^3   -14x^2 -  19x  -  6

                          2x^4  + 6x^3 +  4x^2  

                                      -5x^3  - 18x^2 - 19x

                                      -5x^3  - 15x^2 - 10x

                                                      -3x^2 - 9x  - 6

                                                      -3x^2  - 9x - 6

                                                       .......................

2x^2 - 5x - 3 = (2x + 1)(x - 3)

So Finally,   the factors are (x + 1)(x + 2)(2x + 1)(x - 3).

Answer:

C y=e^x-3

Step-by-step explanation:

Answer:

وتؤوثتيمسوثاسز لا لا لا وا

Answer:

616 sq. m

Step-by-step explanation:

The area of a square = 484

(Side)2 = 484  

side of a square = 22 m

According to the question,

circumference of a circle = perimeter of a square

2∏r = 4 × 22

r = 88 × 7/22 × 1/2  

r = 14 m

Area of a circle = ∏r2 = 22/7 × 142 = 616 sq. m

Answer:

steps below

Step-by-step explanation:

DE/WX = 15/35 = 3/7

DF/WY = 24/56 = 3/7

EF/XY = 18/42 = 3/7

ΔDEF similar to ΔWXY   (sss) : 3 corresponding sides are in the same ratio

Answer:

600

Step-by-step explanation:

Answer:

80 sq ft

Step-by-step explanation:

this is a trapezoid and the formula for area is:

1/2 x height x (sum of the bases, which are parallel)

A = 1/2(10)(10+6)

= 5(16)

= 80 sq ft

Answer:

Step-by-step explanation:

21x.30=6.3

21-6.3= 14.7

If  shirt cost $21 last month and the price decreased by 30% then the new price is $14.7.

percentage, a relative value indicating hundredth parts of any quantity.

Given that a  shirt cost is $21 last month.

The  price decreased by 30% in this month.

We have to find the new price.

To find this we have to find 30 percentage of 21.

Convert 30 % to decimal value by dividing with 100 and then multiply the decimal value with $21.

30/100× 21

0.3×21

$6.3

So the amount decreased is $6.3

The new price we get by subtraction $6.3 from $21.

21-6.3

New price = $14.7

Hence, if  shirt cost $21 last month and the price decreased by 30% then the new price is $14.7.

To learn more on Percentage click:

https://brainly.com/question/24159063

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Answer:

70 minutes

Step-by-step explanation:

you cut both of their times in half and add them together.

Answer:

x = 1/2,-3

Step-by-step explanation:

I think the answer is x = 1/2, -3.

Answer:

0.8%

Step-by-step explanation:

if you divide 32 by 4,000 you get 0.008 and that as a percent iss 0.8%

Answer:

The median is 8.

How you get that is that you have to order these from smallest to biggest.

0,3,8,8,11,13,14

Next, you cut one from each side until you get one single number left. If you get two, then you add them together and divide it by 2.

Answer:

y = x-4

Step-by-step explanation:

The standard form is;

y = mx + b

where m is the slope and b is the y-intercept

we have the two points as (0,-4) and (5,1)

so we find the slope using the slope formula;

m = (y2-y1)/(x2-x1)

m = (1 + 4)/(5-0) = 5/5 = 1

The y-intercept value is the value of y when x = 0

We already have a point (0,-4) and the equation would be:

y = 1(x) + (-4)

y = x-4

Answer:

this is an easy one. 6(4)

Step-by-step explanation:

since multiplication can be switched and you get the same answer, you can switch this using the communative property and you still get 24

Answer:

Yes It will still be balanced.

Step-by-step Explanation:

Since the object is basically being cut in half, as long as the weight is still the same on each side, the balance should still be the same.

Answer:

2.09 for only one triangle.

4.18 for two triangles.

Step-by-step explanation:

Hope this helps good luck in math if you need to look up how to find the area of a triangle all you have to do is multiply the base times the height then divide it by two.

Have a great day!

Answer:

BC ≈ 20.9

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

BC² + AC² = AB²

BC² + 7² = 22²

BC² + 49 = 484 ( subtract 49 from both sides )

BC² = 435 ( take the square root of both sides )

BC = [tex]\sqrt{435}[/tex] ≈ 20.9 ( to the nearest tenth )

Answer:

Obtuse triangle

Step-by-step explanation:

A triangle is a polygon with three sides and three angles. There are different types of triangles such as right angled, acute, obtuse and isosceles triangle.

In right angle triangle, one angle is 90°. The square of the longest side (hypotenuse) is equal to the sum of the square of the two sides.

An acute triangle is a triangle with acute angles (less than 90°). The square of the longest side is less than the sum of the square of the two sides.

An obtuse triangle is a triangle with one obtuse angle (greater than 90°) and two acute angles (less than 90°). The square of the longest side is larger than the sum of the square of the two sides.

An isosceles triangle is a triangle with two equal sides.

Given a triangle whose side lengths are 8, 16, and 18, the longest side is 18.

Since no two sides are the same hence it is not an isosceles triangle.

Also, 18² > 16² + 8²; therefore this is an obtuse triangle

46.4 inch

Step-by-step explanation:

Area=l×b

93.6 =5.2×b

93.6/5.2 =b

So b= 18

Again,

p=2(l+b)

p=2(18+5.2)

p= 2×23.2

p=46.4

Answer:

16 ounces

Step-by-step explanation:

1 pound = 16 ounces

16*5 = 80 ounces

5 pounds = 80 ounces

80-64 = 16 ounces

Answer:

-1.2

Step-by-step explanation:

I took the same direct variation test and got this one right

hope this helps!

Answer:

which one

Step-by-step explanation:

which one

Answer:

x = 10/7 or x = -10/7

Step-by-step explanation:

By using the completing the squares method, we have to divide the coefficient of the x term by 2, square it and add to both sides

From what we have here, the coefficient of the x term is 0

Thus, we have it that;

0 = 100 - 49x^2

We can proceed to use the difference of two squares here;

Whereby;

a^2 - b^2 = (a-b)(a + b)

0 = (10-7x)(10+7x)

10 - 7x = 0 or 10 + 7x = 0

7x = 10 or 7x = -10

x = 10/7 or x = -10/7

Answer:

27 and 77

Step-by-step explanation:

Given

Let

[tex]n \to[/tex] number

[tex]n\ \%\ 2 = 1[/tex]

[tex]n\ \%\ 25 = 2[/tex]

[tex]n <100[/tex]

Required

Find n

[tex]n\ \%\ 2 = 1[/tex] implies that the number is odd and the possible solutions are:

[tex]\{3,5,7,9,......99\}[/tex]

The possible solutions to [tex]n\ \%\ 25 = 2[/tex] are:

[tex]\{27,52,77\}[/tex]

Testing 27, 52 and 77 with [tex]n\ \%\ 2 = 1[/tex], we have:

[tex]27\ \%\ 2 = 1[/tex] --- true

[tex]52\ \%\ 2 = 0[/tex] ---- false

[tex]77\ \%\ 2 = 1[/tex] --- true

Hence, the possible numbers are 27 and 77

Answer:

45.5 ft^2

Step-by-step explanation:

The area of the garden is (7 ft) by (13 ft), which works out to 91 ft^2.

The half garden used for cucumbers is (91 ft^2)/2, or 45.5 ft^2.

Answer:

DID YOU GET AN ANSWER???

Step-by-step explanation:

plz tell me what is was

Answer:

The answer is 201

Step-by-step explanation:

the equation used is (b-a)/2=?

To get the answer, we plug in the info we have which is

a=61

?=70

we use inverse operation to get b

(b-61)/2=70

b-61=140

b=201

Answer:

M' : ( -9,9)

N' : (9, 9)

P' :  ( -9,-9)

Step-by-step explanation:

Dilation if not fraction means multiply or bigger