Answer:
[tex]x^2 +4x - 32[/tex]
Step-by-step explanation:
By FOIL method, [tex](x-4)(x+8) = x \cdot x + x \cdot 8 + -4 \cdot x + -4 \cdot 8 = x^2 +4x - 32.[/tex]
Triangle EFG is rotated and dilated by a scale factor other than 1 to create triangle E'F'G'. Do triangle EFG and triangle EFG' have the same area? Justify your answer.
Respond in the space provided.
Answer:
yes
Step-by-step explanation:
it was just rotated not dilated
The area of triangle ΔEFG changes after rotation and dilation.
What is Scale factor?The scale factor is a type of measurement which is used to increase or decrease the size of an object keeping its shape as the same. It can be determined by taking the ratio of the new and the original dimension of the object.
Suppose the scale factor is k for the dilation of triangle.
Now, new dimensions of ΔE'F'G' is k times the dimension of ΔEFG.
Area of triangle ΔEFG = 1/2 × b × h
Then, triangle area for ΔE'F'G' = 1/2 × kb × kh = k²(1/2 × b × h)
Thus, the area becomes k² times.
Hence, the given triangles ΔEFG and ΔE'F'G' do not have the same area.
To know more about scale factor click on,
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On Tuesday, the price of oranges at a grocery store was $1.20 per pound. Today, the oranges at the same grocery store are on sale at a 15% discount. What is the total price of 5 and 1/2 pounds of oranges this week at the grocery store?
A. $6.00
B. $2.50
C. $5.61
D. $1.02
Answer:
$5.61
Step-by-step explanation:
So, first of all, 15% off of 1.20 is 1.02. Then, multiply that by 5 1/2 to get $5.61.
4/9 x 15/8 answer the question and give the simplest form.
Choose which statement is true about pi
explain what a variable is.
Answer:
A variable is a quantity that may change within the context of a mathematical problem or experiment. Typically, we use a single letter to represent a variable. The letters x, y, and z are common generic symbols used for variables.
Step-by-step explanation:
in other words is like x,y,z or any other letters
PLEASE HELPP!!! (look at pic)
Answer:
1/2
Step-by-step explanation:
Answer:
1/2 of the original pizza is left over
Step-by-step explanation:
When solving this question, divide 8 by 4. That will give you one fourth of the pizza. Multiply that by three, and you will get 6. Then divide 6 by 3, to get 2 as one third of 6.
Subtract 2 from 6 to get 4
A glass is
1
2
full. Then 65cm3 of orange juice is poured in.
The glass is now
6
7
full. What is the total volume of the glass?
Answer:
Answer is v=182
Step-by-step explanation:
v=volume of the glass
v/2+65=6v/7
Multiply by 14
7V+910=12V
910=5V
V=182
I hope it's helpful!
Emily bought a pack of 5 folders for $15.30. What was the unit price?
Answer:
The unit price is $3.06
Step-by-step explanation:
Unit price is how much I unit of something costs. Therefore in order to find the unit price you just divide the total price by the number of units (in our case 5 folders). And so we get...
$15.30 / 5 = $3.06
Plz help me I need help asap
D) -3
because the number should be less than -2 and greater than -6
so here only -3 satisfies the condition
FOR THE LOVE OF GOD PLEASE HELP ME I WILL GIVE 30 points
Answer:
Eliminate y by adding equations (1) and (3) because the coefficients on y are opposites. Then eliminate y by multiplying equation (1) by 2 and adding it to equation (2).
Eliminate z by subtracting equations (1) and (2) because the coefficients are the same. Then eliminate z by multiplying equation (3) by 2 and adding it to equation (1).
Step-by-step explanation:
The variables have to be the same in both equations in the 2 × 2 system.
All of this should be included
Plz Help Me I’m confused and it’s due 5 hrs
Answer:
Talk to your school about the syntax error
Step-by-step explanation:
Que numero es mayor que -5/4
Answer:
4 is greater than -5
Step-by-step explanation:
positive are greater than negative
Help me with this thanks!
Answer:
C
Step-by-step explanation:
C is the only one that isn't increasing or decreasing
brainliest?
EXPERTS!!! PLEASE HELP
Answer:
32, 47, x+17, 43
Step-by-step explanation:
just add or subtract by 17
SIBLE POINTS
The perimeter of the larger rectangle is 2 meters greater than twice the perimeter of the smaller rectangle. What is the perimeter of the larger
rectangle?
3x - 1
x + 1
4x - 5
Х
Answer:
U equal them
Step-by-step explanation:
An divide
A rectangle has a perimeter of 600 cm. The width of the rectangle is 40 cm less than the length. What is the length of the rectangle, in cm?
Answer:
170cm
Step-by-step explanation:
Given data
perimeter of 600 cm
let the Length be x
L=x
W= x-40
P=2L+2W
600=2(x)+2(x-40)
600=2x+2x-80
600= 4x-80
600+80= 4x
680= 4x
divide both sides by 4
x= 680/4
x=170
Hence the length is 170cm
13. Which expressions are equal?
a. 2(x + 3) + 2x and 4x + 3
b. 3(x + 2) + 4x and 7x + 6
C. 5x + 2(x + 4) and 6x + 8
d. 4 + 5(x + 2) and 5x + 11
Answer:
B
Step-by-step explanation:
3 x X = 3x 3 x 2 = 6 so 4x + 3x = 7x +6
3+3 lol this is just to give extra points you know hope you guys help me with the actual one
Zoom in to see better
Blank one options: correct or incorrect
Blank two options: one-third, 3, one fourth, or 4
Blank three options: one fourth, 3, 4, one-third
Blank 4 options: one-twelfth, one-ninth, one-fourth
Answer:
1:Gavin is incorrect.
2:4
3: 1/4
4: 1/12
Step-by-step explanation:
The polynomial n(x) = 3x4 - 9x3 + x2 – 3x has a factor of (x – 3).
Complete each of the 2 activities for this Task.
Activity 1 of 2
Part A: State the number of roots of the polynomial n(x).
A. 2 real roots; 2 complex roots
B. 4 real roots
O C. 3 real roots; 1 complex root
0
D. 1 real root; 3 complex roots
Answer:
Step-by-step explanation:
2 real roots and 2 complex
Following are the solution to the given polynomial equation:
Given:
Polynomial equation: [tex]\bold{n(x) = 3x^4 - 9x^3 + x^2 -3x}[/tex]
Factor: [tex]\bold{(x -3)}[/tex]
To find:
A number of roots for the polynomial n(x).
Solution:
Polynomial equation: [tex]\bold{n(x) = 3x^4 - 9x^3 + x^2 -3x}[/tex]
[tex]\to \bold{(x -3)=0}\\\\\to \bold{x =3}\\\\[/tex]
Putting the of x into the given Polynomial function:
[tex]\to \bold{n(3) = 3(3)^4 - 9(3)^3 + (3)^2 -3(3)}\\\\\to \bold{n(3) = 3\times 81 - 9\times 27 + 9 -3 \times 3}\\\\\to \bold{n(3) = 243- 243 + 9 -9}\\\\\to \bold{n(3) = 0}\\\\[/tex]
Let divide the Polynomial function by the factor:
[tex]\to \bold{\frac{3x^4 - 9x^3 + x^2 - 3x}{x-3}}\\\\\to \bold{\frac{ x(3x^3 - 9x^2 + x - 3)}{x-3}}\\\\\to \bold{\frac{ x(3x^2(x - 3)+1(x - 3))}{x-3}}\\\\\to \bold{\frac{ x(x - 3) (3x^2+1)}{x-3}}\\\\\to \bold{x(3x^2+1)}\\\\[/tex]
So, the factors are [tex]\bold{x, (x-3),\ and \ (3x^2+1)}[/tex].
Calculation of the roots:
[tex]\bold{x=0 \ \ \ \ \ \ \ \ \ \ \ \ \ x-3=0 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 3x^2+1 =0}\\\\\bold{x=0 \ \ \ \ \ \ \ \ \ \ \ \ \ x=3 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 3x^2 = -1}\\\\\bold{x=0 \ \ \ \ \ \ \ \ \ \ \ \ \ x=3 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x^2 = -\frac{1}{3}}\\\\\bold{x=0 \ \ \ \ \ \ \ \ \ \ \ \ \ x=3 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x^2 = (- \sqrt{\frac{1}{3}})^2}\\\\[/tex]
Therefore the final answer is "Option A".
Learn more:
brainly.com/question/15116572
A student is 1.75m tall and is trying out for the football team. He kicks the football straight up
in the air from his outstretched arms at a height of 1 m. If the ball hits him on the head on the
way back down 3 seconds later, what was the football's initial velocity?
Answer: see below
Step-by-step explanation: Initial velocity = terminal velocity. At the top of travel, the velocity is 0 as the ball is motionless. Then it travels 3 seconds (due to gravity). Grav is 9.8m/sec squared. So 1st second = 9.8m. 2nd second is 2x9.8m. 3rd second is 3x9.8m = 29.4 m/sec.
Please help me solve this
(8+3a)(8−3a)=
Answer:
-9a^2+64
Step-by-step explanation:
[tex] (1\times \frac{1}{4} ) {5} [/tex]
Answer:
[tex]1\frac{1}{4}[/tex] or 1.25
Step-by-step explanation:
(1 * 1/4)5 = 1/4 *5 = 5/4 = [tex]1\frac{1}{4}[/tex]
Solve for x:
3x - 4 = 20
Answer:
8
Step-by-step explanation:
3x - 4 = 20
add
3x = 24
divide
x = 8
Solve for x -12=-32+55
Answer:
x = 35
Step-by-step explanation:
I solved for x by simplifying both sides of the equation, then isolating the variable.
Hope this helps:)
Answer:
Step 1: Simplify both sides of the equation.
x−12=−32+55
x+−12=−32+55
x−12=(−32+55)(Combine Like Terms)
x−12=23
x−12=23
Step 2: Add 12 to both sides.
x−12+12=23+12
x=35
Answer:
x=35
At a high school basketball game 15% of the fans supported the visiting team.If the number of visiting supporters at the game was 75, what was the total number of fans at the game
Answer:500
Step-by-step explanation:
I need help part d of this question
Answer:
D is 50,230,000,000
Step-by-step explanation:
explanation
510,000,000
9,600,000,000
244,000
50,230,000,000
1.(07.02)
Simplify (3x – 5) + (5x + 1)
A) 8x-6
B) 8x+4
C) 8x-4
D) 2x-4
can someone please help its due soon.ill give brainliest!
Step-by-step explanation:
LINE K is linear equation
y = mx + b
m = delta y/ delta x
= 6/3
= 2
b = y-intercept (at x = 0, y = 0)
y = 2x
2x-7=-3x+18
solve for x
Answer:
x=5
Step-by-step explanation:
2x−7=−3x+18
Step 1: Add 3x to both sides.
2x−7+3x=−3x+18+3x
5x−7=18
Step 2: Add 7 to both sides.
5x−7+7=18+7
5x=25
Step 3: Divide both sides by 5.
5x
5
=
25
5
x=5
Answer:
x = 5
Step-by-step explanation:
2x - 7 = -3x + 18
2x - 7 + 7 = -3x + 18 + 7
2x = -3x + 25
2x + 3x = -3x + 25 + 3x
5x = 25
x = 5