Mathematics High School

Question 11 options:
The area of a rectangle is 80 cm2.

The length is x – 8, and the width is x + 8.

Find the value of x, and the dimensions of the rectangle.
A = lw

Answers

Answer 1

Answer:

x = 12

length = 4 cm

width = 20 cm

Step-by-step explanation:

a = lw

Plug in the givens

80 = (x - 8)(x + 8)

Multiply

80 = x^2 - 64

Add 64 to both sides

144 = x^2

Take the square root of both sides

x = ±12

(The negative root is extraneous since the dimensions can not be negative)

x = 12

length = x - 8 = 4 cm

width = x + 8 = 20 cm

Related Questions

maria has $100 dollars to spend. she wants to buy a sweater for $30 and a pair of jeans for $42. she would like to spend the rest of her money on t-shirts that cost $4 each. how many can she buy?

Answers

Answer:

7 T-Shirts

Step-by-step explanation:

Given:

100 Dollar

30 = sweater

42 = Jeans

4 each = t-shirts

Solution:

30+42 = 72

100-72 = 28

28/4=7

Therefore she can buy 7 T-Shirts.

Answer:

7 shirts

Step-by-step explanation:

100 (total) - 30 (sweater) - 42 (jeans) = 28 (for shirts)

28 (money) / 4 (shirt cost) = 7 (shirts)

Assuming no tax and stuff, Maria should be able to by 7 shirts on top of her other items.


What is the value of y?
09
O 18
O 3

Answers

Answer:

The answer is 9

Step-by-step explanation:

First looking at the triangle with the 90 degree sign in it  we know that the other angles in that triangle will have to add with 90 to equal 180

So doing the easier way replace 9 with y and do this for the other numbers 3 and 18 to see if the result of (2y+18) and 4y will equal the same number

[tex](2(9)+18)=36 \\4(9)=36[/tex]

[tex](2(3)+18)=24 \\4(3)=12[/tex]

[tex](2(18)+18)=54 \\4(18)=72[/tex]

and because the lines on each triangle represent that those sides are congruent

I hope this because I am only using what I remember from geometry but please let me know if I am wrong

One side of a regular hexagon ABCDEF forms the side of a regular polygon with n sides.

Angle GAF = 105°. Work out the value of n. ​

Answers

Answer:

n = 8.

Step-by-step explanation:

The interior angle of a regular hexagon = 120 degrees.

So m < GAB = 360 - 120 - 105

= 135 degrees so the regular polygon has a total of 135n degrees.

Using the formula for the sum of interior angles of a polygon,

For the polygon with n sides:

Sum of interior angles = 180(n - 2)

135n = 180(n - 2)

135n = 180n - 360

45n = 360

n = 360/45 = 8.

How to find Y intercept of the line passing through the points

Answers

Answer:

Y-intercept: (0, -3)

Step-by-step explanation:

Given the two points, (6, 5) and (3, 1):

We can find the y-intercept by using the slope-intercept form, y = mx + b. However, the first step that we must do is to solve for the slope.

Slope

We must first solve for the slope of the line using the following formula:

[tex]\displaystyle\mathsf{Slope\:(m) =\:\frac{y_2 - y_1}{x_2 - x_1}}[/tex]

Let (x₁, y₁)  = (3, 1)

     (x₂, y₂) = (6, 5)

[tex]\displaystyle\mathsf{Slope\:(m) =\:\frac{y_2 - y_1}{x_2 - x_1}}[/tex]

[tex]\displaystyle\mathsf{Slope\:(m) =\:\frac{5 - 1}{6 - 3}\:=\:\frac{4}{3}}[/tex]

Hence, the slope of the line is:  [tex]\sf{m\:=\frac{4}{3}}[/tex] .

Y-intercept:

Next, we must determine the y-intercept, which is the point on the graph where it crosses the y-axis, with coordinates of (0, b ).  

In order to find the y-intercept, use one of the given points, (6, 5), and the slope, [tex]\sf{m\:=\frac{4}{3}}[/tex], and substitute these values into the slope-intercept form and solve for the value of b:

y = mx + b

[tex]\displaystyle\mathsf{5\:=\:\frac{4}{3}(6)\:+\:b }[/tex]

5 = 8 + b

Subtract 8 from both sides to isolate b:

5 - 8 = 8 - 8 + b

-3 = b

Therefore, the y-intercept is (0, -3), where b = -3.  

What is the topic of a piece of informational writing? (100 point)


A. the meanings of words


B. the way the writer feels about the subject


C. the subject or focus


D. the way information is grouped

Answers

Answer:

the topic of a piece of informational writing: C. the subject or focus

The topic of an informative piece is the writer's feelings about the subject which is the correct answer that would be an option (B).

What is information writing?

Informational writing is a piece of writing that is truthful and aims to educate or explain a topic to the reader. This teaches primary school students how to write realistic, insightful essays on a variety of topics.

It gives the reader fundamental information about a certain issue, which serves to inform the reader. Informational writing, unlike other types of writing, does not aim to influence the reader's opinion or inspire them to take action.

The informational writing is straightforward and succinct. It does not include any superfluous words, flamboyant notions that might confuse the readers or too detailed terminology.

Therefore, the correct answer would be option (B).

Learn more about the Information writing to click here:

brainly.com/question/25622432

#SPJ5

Coordinate plane .........

Answers

Answer:

The answer is the blue dot

Step-by-step explanation:

You should remember that the x goes first in (x,y).

Plzzzzz help meeeeeeee plzzzzz

Answers

Answer:

1) The profit made is $560.

2) Don't know sorry!!

3) A student will pay $1134 for a calculator.

Step-by-step explanation:

Solve for X:

6(4X - 6) + 5 = 8X + 4X - 28 + 12X + 5 - 8

Answers

Answer:

I think it's infinantly many solutions

Step-by-step explanation:

6•4x= 24x.

6•-6=-36. 8x+4x+12x=24x 24x-36+5 -28+5-8=-31

24x-31 24x-31

sorry that's it's set up so wierdly

Answer:

Any value of  X  makes the equation true.

Step-by-step explanation:

The price of the trail mix at the health food store is $7.50 per pound at this rate what is total cost of 8 ounces bags of trail mix

Answers

Answer:

Below

Step-by-step explanation:

1 pound = 16 ounces

Therefore if you're looking for 8 ounces, divide $7.50 in half.

You get $3.75

Answer:

At this rate, the total cost of 8 ounce bag of trail mix would be $3.75.

Step-by-step explanation:

So first I found that for 1 LB (pound), there is 16 ounces so 8 oz is half of 16. If we know that, we have to divide 7.5 by 2 to get 3.75.

Please help!!!!!!!!!!!

Answers

Answer:

10. right triangle 11. obtuse triangle 12. right triangle 13. right triangle

Step-by-step explanation:

In Jackie’s math class, there are 51 students and one-third of the class is boys. How many girls are there in Jackie’s math class?

Answers

Answer:

34 boys

Step-by-step explanation:

you divide 51 by 3 which gets yOU 17 and then you subtract 17 by 51 which gets you 34

hey i need all three boxes solved please
giving 12 points

Answers

Answer:

it says 6 points not 12 points

Step-by-step explanation:

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!9

Answers

Answer:

letter D

thank me later....

>
17 18
<
6
«
7
8
9
10
11 12 13 14 15 16
Huda made 60 bracelets and sold
of them. Sammie made 45 bracelets and sold 2 of them. Which comparison is true
5
true?
The fractions cannot be compared, because they do not have the same wholes
Huda sold more bracelets, because
OIN
8 5
TA
O
2 2
Sammie sold more bracelets, because
58
Both sold the same number of bracelets, because
TURN ITIN
ASK FOR HELP
NEXT QUESTION
АО

Answers

True because it just is simple math man it’s true bro

14. They are symbols that denote silence and give the performer time to relax. * O a. notes O b.rests O c. time signatures​

Answers

Answer:

b.rests

Step-by-step explanation:

HOPE IT'S HELP

#PHILIPPINES

find x if mi = 3x - 5 and mj = x + 5

Answers

3x - 5 = x + 5
combine like terms
2x = 10
divide to get x by itself
x = 5


I borrow $5 from Luis and $ 8 from Stephanie.
How do I show my debt with integers.

Answers

Answer:

-5 + -8 = -13

Step-by-step explanation:

-5 + -8 = -13

in total you owe $13 but seperat it’s $5 and $8.

also you show a debt with Integers by using negative numbers.

x + 12 = 20 i really need help

Answers

Hello! :)

x+12=20

Move all numbers to the right, using the opposite operation:

x=20-12

x=8

Therefore, x=8

Hope it helps. Enjoy your day! :)

Do ask me if you have any question.

~An excited gal

[tex]MagicalNature[/tex] here to help

1) x + x + 8x + 12 =​

Answers

☆Answer :

x + x + 8x + 12 = ...

= 2x + 8x + 12

= 10x + 12

~aljabar

x + x + 8x + 12

= 1x + 1x + 8 + 12

= (1 + 1 + 8)x + 12

= 10x + 12 ✔️

:)

A line passing through the point(-10,-5) and has a slope of -1/2

Answers

y = -1/2x - 10

ex : -10 is x, -5 is y, -1/2 is slope

y = mx + b, m is slope, solving for b (y-intercept)

-5 = -1/2(-10)+b
-5 = 5 + b

try to get b by itself, so minus the positive 5

-5-5 = b, so -10 = b

which leads to y = -1/2x - 10
Adding onto what M1111707 said, here is that equation put onto a graph (as seen in the image)

Maria paid 320.00 for a jacket that was discounted by 20%. What was the original price of the jacket?

Answers

Stuff and what they said the answer is 700.77%

I need help i have no clue what to do!

Answers

Answer:

Step-by-step explanation:

-6x-2y= -26

3(-6x-2y)= -26*3

-18x-6y= -78

(subtract this from the first equation)

(-2x-6y)-(-18x-6y)= -14+78

16x=64

x=4

Now that we know x= 4 we can plug that into an equation and solve for y

-2(4)-6y= -14

-8-6y= -14

-6= -6y

y= 1

x=4

y= 1

(4,1)

PLEASE HELP ME INSTANTLY I WILL GIVE A BRAINLY AND A THANKS

Answers

Answer:

1.the first one is the distance from home

2. is 91

3.increases by 91 i belive tht should be correct

Step-by-step explanation:

A beach ball has a radius of 3 inches calculate volume

Answers

Answer:

113.1 in.³

Step-by-step explanation:

V = (4/3)πr³

V = (4/3) × 3.14159 × (3 in.)³

V = 113.1 in.³

15 liters increased by 60% is ___ liters

Answers

[tex]15 \times   (1 + .6) = 24 \: \: \: liters[/tex]

it's 24 litters

hope it helps

Find the sum of 382 - 8 - 10 and 1042 +2 - 10.

Answers

Answer:

364 and 1034

Step-by-step explanation:

help me can you help with the second part

Answers

Answer:

12 packages with 2 toothbrushes and 3 soaps each

Step-by-step explanation:

who is in 6th grade or 7th?
cause I swear hrw.com is horrible

Answers

Answer college

Step-by-step explanation:

Mrs. Coulter has 3 / 5 yard of ribbon to tie on balloons for the festival. Each balloon will need 3 / 10 yard of ribbon. How many balloons can Mrs. Coulter tie with ribbon

Answers

Answer:

I know they are not the same name but they have the same question they are the same answer

Step-by-step explanation:

#hope it helps you #happy learning

What is the value of x?
(picture attached)

Answers

x= 48

P/s: sorry. I cant explain  

ok done.thank to me :>

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