Which equation completes the square to create an equivalent to
x2 + 8x +11 = 0 in the form of (x - p)2 = q?
A. (x + 4)2 = 11
B. (x-4)2 = 11
C. (x-4)² = 5
D. (x + 4) = 5

Step-by-step explanation:

Since the 2 side lines are parallel,

[tex]2x + 40 + 5x = 180 \\ 7x + 40 = 180[/tex]

(Note that you can further simplify the equation if you wish to, this is a general equation.)

(Equation formed due to Corresponding angles and Sum of angles on the same straight line)

Answer:

45.36 square inches

Step-by-step explanation:

Given the following

Surface area of a triangular prism  = 18 square inches

If it is enlarged by a scale factor of 2.52, the area of the enlarged solid is expressed as;

Area of enlarged solid = area of original sold * scale factor

Area of enlarged solid = 18 * 2.52

Area of enlarged solid = 45.36 square inches

hence the surface area of a similar solid that has been enlarged by a scale factor of 2.52 is 45.36 square inches

Answer:45.36 square inches

Step-by-step explanation:

Answer:

The graph of f(x)=x^2 is reflected over the x-axis. The answer is D

Answer:

The answer is D

Answer:

Volume = ½x³ units.

Step-by-step explanation:

From the image, we can deduce the following;

Length = x

Breadth = x

Height = ½x

To find the volume of prism;

Mathematically, the volume of a prism is given by the formula;

Volume of prism = length * breadth * height

Substituting into the formula, we have;

Volume of prism = x * x * ½x

Volume = x² * ½x

Volume = ½x³ units

Answer:

1. A- 1/2x^3

2. 168

3. 927

4A. 48

4B. 336

5. A D

6. 1 3 3

7. 12 cm

8. 8 , 4

9. B

10. A C D

Step-by-step explanation:

Answer:

Question 9

Name the ordered pairs in the table: 3, 4, 5, 6, 7

Ordered pairs: (1,3), (2,4), (3,5), (4,6), (5,7)

Graph the equation: the attachment

Step-by-step explanation:

I don't know how to do questions 11 and 12.

Also sorry if these aren't correct.

Step-by-step explanation:

(x-2) is not a factor

x = -3 is not a zero

Answer:

Total students = 1240

Step-by-step explanation:

Given that,

Number of boys: number of girls=11:9

[tex]\dfrac{x}{y}=\dfrac{11}{9}\\\\9x=11y[/tex] ......(1)

There are 124 more boys than girls i.e.

x = 124+y .....(2)

Put the value of x from equation (2) in equation (1). So,

9(124+y) = 11y

1116 +9y = 11y

1116 = 2y

y = 558

Put the value of y in equation (2).

x = 124+558

x = 682

Total students = x+y

= 682+558

= 1240

So, there are 1240 students at the school.

-8 = 6 - 14

use the number line:

go to 6 on the number line and count back until you reach -8; you should count 14

since it's a -8 that means the bigger number also has to be negative. between 6 and 14, 14 is bigger so it becomes a negative number

so your answer is -14

Answer:

Step-by-step explanation:

15 * 9=135

135 + 37.5 = 172.5

Answer:

Top left table

Answer:

the first one

Step-by-step explanation:

look at the picture if it does make sense let me know

Answer:

Hi! The answer to your question is C. 4

Step-by-step explanation:

☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!

- Brooklynn Deka

Answer:

a=-2,4

b=1,1

c=4,3

Step-by-step explanation:

b

Answer:

[tex]0 < 0.99 < 1[/tex]

Step-by-step explanation:

Given

[tex]Number = 0.99[/tex]

Required

Determine the interval which it belongs

The given number is less than 1

i.e.

[tex]0.99 < 1[/tex]

And it is greater than 0.

[tex]0.99 > 0[/tex]

So, the number is located between 0 and 1

i.e.

[tex]0 < 0.99 < 1[/tex]

Answer:

The answer is The Commutative property

This means the Commutative property states that you can add or multiply regardless of how the numbers are grouped.

Answer:

678.4 cm^2

Step-by-step explanation:

total surface area of prism is equal to ph+2B where p represents the perimeter of the base, h the height of the prism and B the area of the base.

Firstly, we calculate the perimeter of the base. This is equal to 10 + 14 + 10 + 14, or 48.

Secondly, we must calculate the height of the prism, which is shown as 8.3.

Lastly, we must calculate the area of the base, which is 10 * 14, or 140.

We can now substitute these values into the formula, ph + 2B to find the total surface area of the prism:

ph + 2B,

(48)(8.3) + 2(140),

398.4 + 280,

678.4

This means that the total surface area of this prism is 678.4 cm^2

Answer:

27

Step-by-step explanation:

If this is a right angle triangle, we will do this.

45^2 - 36^2 =

√729 = 27

Therefore, the missing leg = 27

Hope that helps!

Answer:

The equation of the ellipse is [tex]\frac{(x-2)^{2}}{8^{2}}+\frac{(y-10)^{2}}{10^{2}} = 1[/tex].

Step-by-step explanation:

The statement is incomplete, the most probable outcome may be the equation of the ellipse based on information given.

The equation of an ellipse whose major axis is vertical and is centered at a point different from origin is defined by:

[tex]\frac{(x-h)^{2}}{b^{2}} + \frac{(y-h)^{2}}{a^{2}} = 1[/tex] (1)

Where:

[tex](h,k)[/tex] - Coordinates of the center of the ellipse.

[tex](x,y)[/tex] - Coordinates of a point in the line of the ellipse.

[tex]a[/tex] - Length of the major semiaxis.

[tex]b[/tex] - Length of the minor semiaxis.

The coordinates of the center of the ellipse is midpoint of the segment between vertices, which are collinear with foci:

[tex](h,k) = \frac{1}{2}\cdot V_{1} (x,y) + \frac{1}{2}\cdot V_{2}(x,y)[/tex] (1)

Where [tex]V_{1} (x,y)[/tex] and [tex]V_{2} (x,y)[/tex] are the coordinates of the vertices.

If we know that [tex]V_{1} (x,y) = (2,0)[/tex] and [tex]V_{2} (x,y) = (2, 20)[/tex], then the coordinates of the center ellipse are:

[tex](h,k) = (2, 10)[/tex]

The length of the semimajor axis can be determined by using the following vectorial expression, which is equivalent to the Pythagorean Theorem:

[tex]a = \sqrt{[(h,k)-V_{1}(x,y)]\,\bullet\,[(h,k)-V_{1}(x,y)]}[/tex] (2)

If we know that [tex](h,k) = (2, 10)[/tex] and [tex]V_{1} (x,y) = (2,0)[/tex], then the length of the semimajor axis is:

[tex]a = \sqrt{(2-2)^{2}+(10-0)^{2}}[/tex]

[tex]a = 10[/tex]

And the length of the minor semiaxis is found by means of this Pythagorean identity:

[tex]b = \sqrt{a^{2}-c^{2}}[/tex] (3)

Where [tex]c[/tex] is the length between the center and any of the foci. This distance can be found by using this vectorial formula:

[tex]c = \sqrt{[(h,k)-F_{1}(x,y)]\,\bullet\,[(h,k)-F_{1}(x,y)]}[/tex] (4)

If we know that [tex](h,k) = (2, 10)[/tex] and [tex]F_{1} (x,y) = (2,4)[/tex], then the length between the center and any of the foci is:

[tex]c = \sqrt{(2-2)^{2}+(10-4)^{2}}[/tex]

[tex]c = 6[/tex]

And the length of the minor semiaxis is:

[tex]b = \sqrt{10^{2}-6^{2}}[/tex]

[tex]b = 8[/tex]

FInally, the equation of the ellipse is [tex]\frac{(x-2)^{2}}{8^{2}}+\frac{(y-10)^{2}}{10^{2}} = 1[/tex].

Answer:

False

Step-by-step explanation:

if you are comparing two figures that are similar the scale factor will flip because you are altering the shape from the first shape

Answer: B

Step-by-step explanation:

if I'm wrong sry lol

Answer:

D

Step-by-step explanation:

- 117° is positioned in the 3rd quadrant where sine < 0

The related acute angle is 180° - 117° = 63°

Then

sin(- 117)°

= - sin63° → D

Answer:

B

Step-by-step explanation:

Just take all three numbers (954, 158, 63) then add them all up.

Answer:

eq: s= 5w + 3

Step-by-step explanation:

independent: number of weeks

dependent:  amount of stickers

the amount of stickers depend on how many weeks pass by :) (English is my second language so I may write weird)

Answer: 5.7p + 10

Step-by-step explanation:

From the question, we are given the information that when ringing up a customer, the cashier will need 10 seconds to process the payment and 5.7 seconds to scan every item that are purchased.

The equation that shows the relationship between the items being purchased, p, and the time, t will then be:

= 5.7p + 10

Answer:

$6500

Step-by-step explanation:

Given data

Monthly Earnings= $4500

Commission= 4%

Sales= $50000

Let us find the amount of the commission

=4/100*50000

=0.04*50000

= $2000

Since the monthly earning is $4500, hence the total earning is

=2000+4500

=$6500

Answer:

42,757.2

Step-by-step explanation:

Volume is the quantity of three-dimensional space enclosed by a closed surface, for example, the space that a substance (solid, liquid, gas, or plasma) or shape occupies or contains. You always multiply the numbers!

Please mark me brainliest!

Hey there, friend!

Here's my answer!

[tex] \colorbox{red}{A{ \colorbox{orange}{N{ \colorbox{yellow}{S{ \colorbox{blue}{W{ \colorbox{royalblue}{E{ \colorbox{cyan} {R{ \colorbox{purple}{S}}}}}}}}}}}}}: [/tex]

[tex] {\bold\green{Answer}} \green\implies\blue{\overbrace{\underbrace{\boxed{\bold\blue{A.\:42,757.2}}}}} [/tex]

B. 4,750.8

C. 128,271.6

D. 256, 543. 2

============================

[tex] \LARGE\bold\blue{\tt{SOLUTIONS}} [/tex]

First, multiply 37 and 42.8

[tex] {\bold\green{37 × 42.8 }} \green\implies\blue{\boxed{\bold\blue{1,583.6 }}} [/tex]

Second, multiply 1,583.6 and 27

[tex] {\bold\green{1,583.6 × 27}} \green\implies\blue{\boxed{\bold\blue{42,757.2}}} [/tex]

[tex] {\bold\green{Final\:answer}} \green\implies\blue{\overbrace{\underbrace{\boxed{\bold\blue{42,757.2}}}}} [/tex]

============================

That's my answer

Keep safe, friend

Answer:

Nan

Step-by-step explanation:

Answer:

all of these are right angled triangle. so u can use pythagoras theorem, h²=p²+b²

longest side is called hypotenious (h)

and u can assume any of the remaining side as p and b as your choice

eg=

1) h=13

p=12

b=?

using pythagrous theroem

h²=p²+b²

13²=12²+b²

169= 144+b²

169-144=b²

25=b²

25 is the square root of 5 so

5²=b²

square root of each side will be cancelled so

b = 5

In this way u can solve your questione.....

Answer:

1.

[tex] {h}^{2} = {p }^{2} + {b}^{2} [/tex]

[tex] {13}^{2} \: = {12}^{2} + {b}^{2} [/tex]

[tex] {b}^{2} = {13}^{2} - {12}^{2} [/tex]

[tex] {b }^{2} = 169 - 144[/tex]

[tex] {b}^{2} = 25/tex]

[tex]b = \sqrt{25} [/tex]

[tex]b = 5[/tex]

hope this helps you all of your question's is base on the formula given above

mark me as brainliest pls

Step-by-step explanation:

= P [ 1-R/100 ] T

= 15000 [ 1-12/100] ⁵

= 15000 [100-12/100]⁵

= 15000 [0.88]⁵

= 15000 × 0.52773

= 7915.95..

i hope it's correct....