Answer:
In geometry symmetry has to measure to the same but in real life if they are close enough it is good enough
In rectangle ABCD, point E lies half way between sides AB and CD and halfway between sides AD and BC. If AB=3 and BC=2, what is the area of the shaded region? Write your answer as a decimal, if necessary. Do not include units in your answer.
Answer:
The area of the shaded region is 3.
Step-by-step explanation:
Since point E lies halfway between AB and BC, the area of the shaded region (As) consists of two identical triangles with base equal to AB and height equal to half the measure of BC:
[tex]A_s=2 * A_t[/tex]
Where At is the area of each triangle.
[tex]\displaystyle A_t=\frac{AB*BC/2}{2}[/tex]
[tex]\displaystyle A_t=\frac{AB*BC}{4}[/tex]
We know AB=3 and BC=2, thus:
[tex]\displaystyle A_t=\frac{3*2}{4}=\frac{6}{4}[/tex]
Simplifying:
[tex]\displaystyle A_t=\frac{3}{2}[/tex]
Finally:
[tex]\displaystyle A_s=2 * \frac{3}{2}[/tex]
[tex]A_s=3[/tex]
The area of the shaded region is 3.
Note the area of the shaded region is half the area of the rectangle.
For f(x) =1/x^2-3
find:
(a) f(3) (3 points)
(b) f(2+h) (3 points)
Answer:
[tex]f(3) = \frac{-26}{9}[/tex]
[tex]f(2 + h) = \frac{- 11 - 12h - 12^2}{4 + 4h + h^2}[/tex]
Step-by-step explanation:
Given
[tex]f(x) = \frac{1}{x^2} - 3[/tex]
Required
Find f(3) and f(2 + h)
Solving f(3)
Substitute 3 for x in [tex]f(x) = \frac{1}{x^2} - 3[/tex]
[tex]f(3) = \frac{1}{3^2} - 3[/tex]
[tex]f(3) = \frac{1}{9} - 3[/tex]
Take LCM
[tex]f(3) = \frac{1 - 27}{9}[/tex]
[tex]f(3) = \frac{-26}{9}[/tex]
Solving f(2 + h)
Substitute 2 + h for x in [tex]f(x) = \frac{1}{x^2} - 3[/tex]
[tex]f(2 + h) = \frac{1}{(2 + h)^2} - 3[/tex]
[tex]f(2 + h) = \frac{1}{(2 + h)(2 + h)} - 3[/tex]
[tex]f(2 + h) = \frac{1}{4 + 2h + 2h + h^2} - 3[/tex]
[tex]f(2 + h) = \frac{1}{4 + 4h + h^2} - 3[/tex]
Take LCM
[tex]f(2 + h) = \frac{1- 3(4 + 4h + h^2)}{4 + 4h + h^2}[/tex]
[tex]f(2 + h) = \frac{1- 12 - 12h - 12^2}{4 + 4h + h^2}[/tex]
[tex]f(2 + h) = \frac{- 11 - 12h - 12^2}{4 + 4h + h^2}[/tex]
What are the slopes to these ? please answer
PLEASE HALP IM TIMES
Answer:
1,3,4
Step-by-step explanation:
Please need help thank
Please help fast, I’ll mark Brainlist for correct answer!
Answer:
1. y=2x -12
2. 2x-y=12
3.y=2/3x 11/3
Step-by-step explanation:
20. A store offers a discount of 10% to customers
who spend more than $20. If a customer's
total bill was $80, what will he actually pay?
A. $60
B. $70
C. $72
D. $74
the length of a triangle is 3 centimeters less than twice its width its area is 35 square centimeters find the dimensions of the rectangle use formula area=length*width the width is ?_ the Length is?_
[tex] \LARGE{ \underline{ \tt{Required \: answer:}}}[/tex]
We have:
The length of a triangle is 3 centimeters less than twice its width.Area = 35 cm²We need to find:
Dimensions of the rectangle?Solution:
Let the width be w. Then the length would be:
➝ Length = 2(width) - 3
➝ l = 2w - 3
Area of rectangle: l × b
➝ Length × width = 35 cm²
➝ (2w - 3)w = 35
➝ 2w² - 3w - 35 = 0
Now finding value of x by middle term factorisation,
➝ 2w² - 10w + 7w - 35 = 0
➝ 2w(w - 5) + 7(w - 5) = 0
➝ (2w + 7)(w - 5) = 0
Hence,
w = 5 because width can't be negative.l = 2(5) - 3 = 7Therefore,
Width = 5 cmLength = 7 cm⛱️ [tex] \large{ \blue{ \bf{FadedElla}}}[/tex]
let x represent the rectangle's width;
thus;
Width = x
Length = 2x - 3
Area = 35 sq. cm.
Area = Length × Width
35 = (2x - 3)(x)
35 = 2x^2 - 3x
2x^2 - 3x - 35 = 0
Factorizing:
x = 5 or -3.5
but width is a scalar quantity and cannot be negative:
Hence:
Width = 5 cm.
Length = 2(5) - 3 = 7 cm.
6x = 41
x = 7 to the nearest whole number.
Width = 7 cm.
Length = 2(7) - 3 = 11 cm.
There are 43 children at a school. They want to make teams with 6 children on each team for kickball. Two of the children go home. How many complete teams can they make? Explain.
Answer:
6 teams
Step-by-step explanation:
They can only make 5 teams with 8 kids on each. 1 child will remain
What’s the approximate value of a $12,000 car after 1 year?
Answer:
i think the aswer s 60,000
Step-by-step explanation:
Cara has saved $4,000 to buy a car. Rick wants to buy a new television set. He has saved 1/10 as much as Cara. How much has Rick saved?
Answer:
Step-by-step explanation:
4000*1/10= $400
f(x)=-3x2 + 2x - 7 f(-1)=
Answer: I hope I’m not too late, but the answer is A.) 12
Step-by-step explanation:
X-(-5) = 10
x=
help me
Answer:
X-(-5) = 10
x+5=10
x=10-5
x=5
X-(-5) = 10
-negative sign and -negative sign= +positive sign
X+5=10
move +5 to other side to get X by itself
sign changes from +5 to -5
X+5-5=10-5
X=10-5
X=5
answer: X=5
1. What is the Potential Energy of a 6 kg object that is 10 m above the
ground?
(I'LL BE GIVING BRAINLIEST AND EXTRA POINTS TO WHO EVER HELPS ME!! :D)
Terri buys five and seven eighths ounces of chocolate chips. She uses four and four sixths ounces in a recipe. How many ounces of chocolate chips does she have left?
A) one and ten forty eighths ounces
B) one and three fourteenths ounces
C) two and ten forty eighths ounces
D) two and three fourteenths ounces
(Here is an image if needed) :
please help this question is very difficult ................
Answer:
[tex]\lim _{x\to \:0}\left(\frac{\sqrt{1+x}+\left(1+x\right)^7-2}{7}\right)\\\\\frac{\sqrt{1+0}+\left(1+0\right)^7-2}{7}\\\\then\ simplify\\=0[/tex]
Step-by-step explanation:
Use the distributive property to remove the parentheses (x+12)8
Answer:
Using distributive property to remove the parentheses [tex](x+12)8[/tex] we get [tex]8x+96[/tex]
Step-by-step explanation:
We need to use distributive property to remove the parentheses (x+12)8
According to distributive property of multiplication over addition:
[tex]a(b+c)=ab+ac[/tex]
Now, using the above distributive property to solve the given question. Multiply 8 with terms inside the bracket and solving:
[tex](x+12)8\\=8x+8*12\\=8x+96[/tex]
So, using distributive property to remove the parentheses [tex](x+12)8[/tex] we get [tex]8x+96[/tex]
Solve the inequality 2 (x - 2) +8.6 < 14.
Answer:
x<4.7
Step-by-step explanation:
2(x-2)+8.6<14
2x-4+8.6<14
2x=4.6<14
2x<14-4.6
2x<9.4
_____
x<4.7
mom said its my turn to be brainliest answer ;0
also, help me on my math hw maybe ?
Answer: x < 4.7
Step-by-step explanation:
through: (-2,-5), parallel to y = x + 3
Answer:
No,
Step-by-step explanation:
Guess why
If you do x = - 2
Then y become 1,
Which is not matched to
-5
A radius of 8.5m what is the area
Answer:
22/7 * 8.5 * 8.5 = answer
Answer:
Step-by-step explanation:
A = π r² ≈ 3.14 × (8.5)² = 226.865 m²
A department store buys 500 shirts at a cost of $4000 and sells them at a selling price of $10 each. Find the percent markup.
9514 1404 393
Answer:
25%
Step-by-step explanation:
The markup is the difference between the selling price and the cost price.
markup = (500)($10) - $4000 = $1000
Then the percent markup of the cost price is ...
markup/(cost price) = $1000/$4000 × 100% = 25%
The percentage markup was 25%.
PLEASE HELP MEHH!!!!!
Select the coordinates of two points on the line y = −2. (2 points)
A. (2, −2) and (−2, 2)
B. (−2, −2) and (−2, 0)
C. (2, −2) and (0, −2)
D. (−2, 2) and (−2, −2)
Answer:
C.) (2,-2) and (0,-2)
Step-by-step explanation:
The coordinates would have to have y values of -2, because the line plotted only has y values of -2
Answer:
C.
Step-by-step explanation:
Which word describes the slope of the line?
positive
negative
zero
undefined
Answer:
Negative
Step-by-step explanation:
the slope in this equation is negetive as it is pointing in a downwards position.
Zero would be horizontal, undefined would be vertical and positive would be going in an upwards motion
Answer:
b
Step-by-step explanation:
aye
GIVING OUT BRAINLIST
ASAP
find the sales price:
$89.95 DVD Player, 5% discount.
(Round your number to the nearest cent (hundredths place)
Consider the composite function g(F(x)) = x square root of 6.
If f(x) = 3x2, what is g(x)?
Answer:
g(x) = √(2x)
Step-by-step explanation:
f(x) = 3x^2
g(f(x)) =√6x
g(3x^2) = x√6
g(x) must be √(2x)
because if we substitute x = 3x^2 in this we get
(√2(3x^2))
= √2√3√(x^2)
= √6 x
Evaluate f(x)= -3x+8 at the following values.
Box #1: x=3
Box #2: x=0
Box #3: x=-2
High school idk why it says college
Answer:
Box 1= 1
Box 2 =-8
Box 3= -2
Step-by-step explanation:
Plug in the numbers that are provided where you see x
-3(x) +8 x=3
Solve the following inequality 5x-60>8x
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]5x - 60 > 8x[/tex]
[tex]8x < 5x - 60[/tex]
Subtract sides 5x
[tex] - 5x + 8x < - 5x + 5x - 60[/tex]
[tex]3x < - 60[/tex]
Subtract sides 3
[tex] \frac{3x}{3} < \frac{ - 60}{3} \\ [/tex]
[tex]x < - 20[/tex]
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Answer: The answer is x<–20.
Step-by-step explanation: Let’s solve the inequality step by step.
• Step 1 Subtract 8x from both sides. Do the rest of the step by step of the following inequality.
y = 3x - 12x +9
In standard form?
Answer:
y=-9x+9
Step-by-step explanation:
There are only two like terms in the equation which I have underlined.
y= 3x - 12x +9
To simplify it, you combine the like terms and get your equation in standard form.
Darryl said that -32 and (-3)2 have the same value? Do you agree with Darryl? Yes or no? Explain your response.
Answer:
Step-by-step explanation:
Yes
Answer:
Step-by-step explanation:
No, I don't agree with Daryl. If you multiply -3 by 2, you will get -6. -6 is not equal to -32, which means that they don't have the same value, so Daryl is wrong.
Pls help me don’t make fun