Answer:
Length = 15
Width = 6
Area = 90
Step-by-step explanation:
Area of the rectangle = [tex] {x}^{2} + 3x - 6x - 18[/tex]
Lets factorise the polynomial
[tex] = > x(x + 3) - 6(x + 3)[/tex]
[tex] = > (x + 3)(x - 6)[/tex]
We know that Area = Length × Width
Let the length be (x + 3) & width be (x - 6)
Its given in the question that x = 12. So putting the value of x gives ,
Length = [tex]x + 3 = 12 + 3 = 15[/tex]
Width = [tex]x - 6 = 12 - 6 = 6[/tex]
Area = Length × Width = 15 × 6 = 90
The graph of an absolute value function contains the points (1, 2), (0, 0), and (–1, 2). Shawn thinks the function this graph represents is f(x) = 2|–x|. Brielle thinks the function this graph represents is f(x) = 2|x|. Determine who is correct and explain why.
Answer:
Shawn and Brielle are correct, since absolute has the following property: [tex]|a| = |-a|[/tex], [tex]a\in \mathbb{R}[/tex]
Step-by-step explanation:
Both Shawn and Brielle are correct, because the absolute value has the following property:
[tex]|a| = |-a|[/tex], [tex]a\in \mathbb{R}[/tex]
Which means that [tex]|x|[/tex] and [tex]|-x|[/tex] gives the same result.
Answer:
Both Shawn and Brielle are correct. The absolute value parent function is symmetric with respect to the y-axis, and the absolute value of negative x is a reflection across the y-axis, so the graph of these two functions would look identical. Additionally, if you wanted to verify that the given points are on the graph of both functions, you could substitute them into the functions to get true statements.
Step-by-step explanation:
Sample Answer on Edge
What is 40/9 as a mixed number
Answer:
4 4/9
Step-by-step explanation:
40÷9=4r4
Therefore:
409=449
Answer:
4 4/9
Step-by-step explanation:
Divide using long division. The whole number portion will be the number of times the denominator of the original fraction divides evenly into the numerator of the original fraction, and the fraction portion of the mixed number will be the remainder of the original fraction division over the denominator of the original fraction.
Hope this helps :)
20 POINT!!!!!!!11PLEASE HELP!!!!!
A sphere is a three-dimensional geometric figure, hollow or solid, contained by a continuously round surface that is equidistant from its center. The maximum capacity of a sphere is calculated with the formula, where V = volume, and r = radius. For a sphere with a maximum capacity of 1,372pi/3 cubic millimeters, the diameter measures millimeters.
Answer:
14 millimeters
Step-by-step explanation:
V=(4/3)πr³
1372π(1/3)=(4/3)πr³
1372=4r³ (cancel out the pi and multiply both sides by 3)
r³=343
r=7
Diameter is twice the radius = 2(7) = 14
wich structure ate found in plant cells but not in animal cells multiple choice
Answer:
Plant cells have a plasma membrane, chloroplasts, plasmodesmata, and plastids used for storage, and an oversized central bodily cavity, whereas animal cells don't.
Round 0.381 to the nearest hundredth.
0.3
0.38
0.4
0.39
Answer:
0.38
Step-by-step explanation:
Answer:
0.38
Step-by-step explanation:
Which operation can be used to solve for x? -3.2x = -4.8
Answer:
-3.2x=-4.8 ÷(-3.2)
x=1.5
Step-by-step explanation:
prove me wrong
What is the slope of the line whose equation is y=3/5x-4
Trigeomentry need help asp about to fail
1.) Given : S is the midpoint of RT; PR = PT
Prove : PRS = PTS
2.) Given : E is the midpoint of AB and CD
Prove: AEC=BED
Answer: 1.
Given: S is the midpoint of RT
PR=PT
To Prove: PRS=PTS
Step-by-step explanation:
If PR=PT in a triangle PRT, then the triangle is isosceles triangle.
Therefore, ∠PRT=∠PTR (opposite angles of an isosceles triangle are equal)
In ▲PRS and ▲PTS
PR=PT
∠PRT=∠PTR
PS=PS (PS is common)
therefore, ▲PRS≅▲PTS
Therefore, ∠PRS=∠PTS
Hence proved.
Answer: 2.
Given: E is the midpoint of AB and CD.
To Prove: AEC=BED
Step-by-step explanation:
If AB and CD are the diagonals of rectangle, then
diagonals AB=CD, sides AC=BD and AD=BC
In ▲AEC and ▲BED,
∠AEC=∠BED(vertically opposite angles)
AE=BE
AC=BD
therefore, ▲AEC≅▲BED
Therefore, ∠AEC=∠BED
Hence Proved.
The proofing of each part should be explained below.
Prove:a.
In the case when
PR=PT in a triangle PRT,
So the triangle is an isosceles triangle.
Therefore, ∠PRT=∠PTR
Now
In ΔPRS and ΔPTS
PR=PT
So,
∠PRT=∠PTR
So,
PS=PS (PS is common)
ΔPRS≅ΔPTS
Hence proved.
2.
In the case when AB and CD are the diagonals of the rectangle,
So,
diagonals AB=CD, sides AC=BD and AD=BC
In ΔAEC and ΔBED,
So,
∠AEC=∠BED
That means
AE=BE
AC=BD
therefore, ΔAEC≅ΔBED
Hence Proved.
Learn more about the midpoint here; https://brainly.com/question/24600215
Lily sells loose tea for $0.71 per gram. If one gram is equivalent to 0.035273 ounces, how much does it cost to buy 0.45 pounds of Lily's tea?
a $108.70
b. $144.93
с. $536.77
d. $715.69
Answer:
it is B. 144.93 on edge my friends
Step-by-step explanation:
cause i know so
Alex says, if I split a shape into four parts,I have split it into quarters
The four parts need to be equal, only then the shape will be said to have splitted in quarters.
the sum of 1 1/3 and 5/6
Answer:
2 1/6
Hope this helps!
Answer:
the right answer is 9/2
Step-by-step explanation:
thanks
Is it a function or not a function? Please help me??
Answer:
No
Step-by-step explanation:
There are 5 times as many boys as girls in a school.
Together the school has 810 pupils.
How many boys are there?
help pls brainlest to first make sure it's correct Hank you
Answer:
It’s 32
Step-by-step explanation:
4X + 11 < -21 graph represents
Answer:
The graph of y = 4x - 11 is translated up 8 units. Which equation represents the translated graph? f y = 4x - 19 g y = 4x - 3 h y = 12x - 11 j y = 12x - 3
Answer: x=-8. (graph with open circle going left from -8 for khan academy)
Step-by-step explanation: -21-11<-32
4x>-32
x<-8
Rotate the vector (5,1) 90°
clockwise about the origin.
Answer:
(-1, 5)
Step-by-step explanation:
this is correct
The new coordinates of the vector (5,1) after rotating it 90° clockwise about the origin would be (-1,5).
What is a transformation?A point is transformed when it is moved from where it was originally to a new location. Translation, rotation, reflection, and dilation are examples of different transformations.
Rotating a vector 90° clockwise in a 2D coordinate system can be accomplished by "flipping" the vector's x and y coordinates and then negating one of them.
In this case, the original x-coordinate is 5 and the y-coordinate is 1.
When we negate the x-coordinate and swap the positions of x and y, we get the new coordinates of (-1,5).
To learn more about the transformations click here :
brainly.com/question/28029674
#SPJ2
Winter coats are marked 70% off on February 1st. If a coat originally costs $57.70, how much will it cost on sale?
Answer:
40.39
Step-by-step explanation:
You have 7/5 gallons of juice and want to fill cups that hold 1/10 of a gallon. How many cups can you fill?
Answer:
14 cups
Step-by-step explanation:
Amount of juice had = 7/5 gallons
Cup to fill = 1/10 gallons
We can therefore write;
1cup = 1/10 gallons
x cups =7/5 gallons
ross multiply
1/10 x = 7/5
x/10 = 7/5
70 = 5x
x = 70/5
x = 14
Hence 14 cups cam be filled
6. You want to go to the movies. A ticket for a movie
cost $10.90. There is a student discount for 20% off
with a student ID. The tax rate charged is 5.75%.
What is the sale price of your ticket? Explain how you
arrived at your answer.
The sale price of your ticket would be $9.22
Step-by-step explanation:First you subtract 20% off from $10.90
Which is $8.72 , then you add 5.75%
so $8.72 + 5.75% = $9.22
Hope this helps have a nice evening please give me brainliest
pls help due in 2 mins
Answer:
Good luck
Step-by-step explanation:
Answer:
272 is the correct answer
Step-by-step explanation:
I found the answer by multiplying 16 to 17 because 7 + 7 is 14 then add the 3 it is 17!
Hope this Helps! :)
how do you math please help me
The value of coin a is triple the value of coin b.together the total value of thebtwo coins is $48.00. What is the value of each coin
I NEED HELP WITH THIS GEOMETRY QUESTION PLEASE, IF YOU GET THE ANSWER CORRECT ILL MARK IT AS BRAINIEST , thanks in advance❤️!
Answer:
I think it is B (SSS congruence)
Step-by-step explanation:
you are only given the sides of the triangles not any of the angles
Answer:
D
Step-by-step explanation:
This I am pretty sure on.
The only side you can 100% say is similar is DE. since it is the same line.
The angles GDE and FDE are the same since there is a line divivding it in half.
All other answers use two or more sides, unless marked with a little dash, indicating that they are the same size, you really can't use those side.
What is the slope of the line that contains these points? x -4 -3 -2 -1 y 2 5 8 11
Answer:
21 because I serch it up I believe
PLZ HELP ME. 3 questions be my angel.
Answer:
82
Step-by-step explanation:
eat good
Write the phrase as an Expression
The product of 6 and a number lll
Answer:
DURING PUBERTY
its ture
Express in the form 1:n
Give n as a fully simplified fraction.
12:2
Answer:
divide 12
12/12 : 2/12
1 : 2/12
1 : 1/6
n=1/6
You are your friend are playing a game where you flip a coin and roll a fair four-sided die.
What about it?????????
Answer: is this the best ratio question
Step-by-step explanation:
please help what would the 5 be in gallons
Answer:
13.6 gallons
Step-by-step explanation:
y = 2.72x
this means that 2.72 is multiplied by x
y = 2.72 * x
x = number of gallons
5 = number of gallons
5 = x
y = 2.72 * 5
y = 13.6 gallons