Note: In option A, it should be "+" instead of "(".
Given:
The expression is
[tex]-2x(x+y-3)+3(-x+4y)+y(3x+5y-3)[/tex]
To find:
The equivalent expression.
Solution:
We have,
[tex]-2x(x+y-3)+3(-x+4y)+y(3x+5y-3)[/tex]
Using distributive property, we get
[tex]=-2x(x)-2x(y)-2x(-3)+3(-x)+3(4y)+y(3x)+y(5y)+y(-3)[/tex]
[tex]=-2x^2-2xy+6x-3x+12y+3xy+5y^2-3y[/tex]
On combining like terms, we get
[tex]=-2x^2+5y^2+(-2xy+3xy)+(6x-3x)+(12y-3y)[/tex]
[tex]=-2x^2+5y^2+xy+3x+9y[/tex]
The expression [tex]-2x^2+5y^2+xy+3x+9y[/tex] is equivalent to the given expression.
Therefore, the correct option is A.
Find two positive numbers satisfying the given requirements.
The product is 152 and the sum is a minimum.
Answer:
8 and 19
Step-by-step explanation:
To some this, let's first list all the factors of 152. They are;
1, 2, 4, 8, 19, 38, 76, 152.
Now, let's arrange them to reflect being multiplied to get 152.
Thus;
1 × 152 = 152
2 × 76 = 152
4 × 38 = 152
8 × 19 = 152
Also, let's do the same for their sum;
1 + 152 = 153
2 + 76 = 78
4 + 38 = 42
8 + 19 = 27
Looking at the figures above, the ones that their product is 152 but have the least sum are 8 and 19
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.
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Solve to system of linear equations by substitution
y = 2x
x + y = -9
The solution of the system is ( x , y )
A spinner landed on red 12 times in 50 spins.How many times would you expect it to land on red 1,000 spins?
Answer:
What you need to do is multiply 12 by 2 and then multiply 100 by 2 and then you add them which equals 240
12x2 = 24, 100x2 = 200
240
240 times
(hope that helped can plz have brainlist it will make my day :D hehe)
Step-by-step explanation:
Please answer this it’s attach and I really need help if you scam me I will spam your questions will useless answers taking your points like you take mine.
Answer:
First blank: 4
Second blank: 3
Third blank: 8
Step-by-step explanation:
The expressions must be equivalent, yet one must read as 4 times the length of the box.
Looking at the given expression, 12x + 32, both numbers can be evenly divided by 4.
Since the blank spaces contain parenthesis, I can assume the problem is asking us to factor the numbers.
This means we put the number 4 on the outside of the parenthesis to display "4 times the side length."
4 × ? = 12
4 × 3 = 12
Substitute 12 for 3.
4 × ? = 32
4 × 8 = 32
Substitute 32 for 8.
4 (3x + 8)
An item on sale costs 80% of the original price. If the original price was $20 what is the sale price?
Answer:
$4.00
Step-by-step explanation:
0.80 x $20=16
$20-$16=$4.00
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Explain a time when you see Pythagorean Theorem in real life. Explain the process you would use to analyze a situation and solve a problem involving the Pythagorean theorem. Be sure to write in complete sentences!
Answer:
Below
Step-by-step explanation:
In areas that require building, such as carpentry or architecture, the Pythagorean Theorem can be used to find unknown side lengths in order to determine the lengths of building material needed to complete the triangle- a shape often used in construction due to its more durable nature.
Answer:
The Pythagorean Theorem is useful for two-dimensional navigation. You can use it and two lengths to find the shortest distance. … The distances north and west will be the two legs of the triangle, and the shortest line connecting them will be the diagonal
Step-by-step explanation:
make t the subject formula h=square root of 2t-3
The subject formula for t in equation form is "t = (h² + 3)/2".
What is the equation?The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions.
Given, the subject formula h=square root of 2t-3
Since h = √2t-3
thus solving the equation for t
h² = 2t - 3
2t = h² + 3
t = (h² + 3)/2
Therefore, the Simplified form of the given equation in the terms of t is "t = (h² + 3)/2"
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Use a math drawing to explain why LaTeX: \frac{4}{5}=\frac{4\:\times3}{5\:\times3}\:=\frac{12}{15}4 5 = 4 × 3 5 × 3 = 12 15 .
Answer:
....................
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Answer:
The Answer should be 9
140-180=40
360÷40=9
Answer:
9
Step-by-step explanation:
size of each interior angle can be represented by: [tex]140^{o} = 180^{o}[/tex]•[tex]\frac{(n-2)}{n}[/tex]
solve for n:
[tex]140^{o} = 180^{o}[/tex]•[tex]\frac{(n-2)}{n}[/tex] multiply both sides by n
140ºn = 180º(n - 2) distribute 180º to (n - 2)
140ºn = 180ºn - 360º subtract 180ºn from both sides
-40ºn = -360 divide both sides by -40º
n = 9
Answer this for and you will eat within the next year.
3х2
The answer is 6
^agreed its correct good job
please help me
The measure of an exterior angle of a triangle is x. The measure of the adjacent interior angle is at least twice x. List three possible solutions for x.
Answer:
x=exterior
y=interior
x+y=180
y is greater than or = to 2x.
So one value could be x+2x=180
3x=180
x=60
or you could do 2x+1+x=180
3x=179
x=179/3
or 2x+2+x=180
3x=178
x=178/3
Step-by-step explanation:
Help please I don’t understand
Answer:
Both are opposite rays
Step-by-step explanation:
[tex] \overrightarrow {OP} [/tex] and [tex] \overrightarrow {PO} [/tex] are two opposite rays, because their directions are different.
Michael deposits $875 in a savings account that pays 4.5% interest. How much money does he earn at the end of 18 months?
Answer:
I think the answer to this question is 3,500 I'm sorry if I'm wrong.
Step-by-step explanation:
61.5 dividido entre 0.750
is 0.77 bigger or les than than 0.08?
Answer:
0.77 is bigger than 0.08
Step-by-step explanation:
0.77 > 0.08
You have to compare tenth place. In tenth place 7 is greater than 0. so 0.77 is bigger than 0.08
Can someone help me with this problem . I have to show my work.
Answer:
Step-by-step explanation:
perimeter=2(100+16)
=2(116)
=232 cm
area=100(16)
=1600 cm²
Simplify the expression:
-10(3x-6)
—————
3
Answer:
19/1 or 1.9
Step-by-step explanation:
Please help due today
Answer:
60 cm^2
Step-by-step explanation:
Answer:
48 cm^2
Step-by-step explanation:
Surface area of a prism is just the sum total of each individual shape's area.
SA = [(3 * 4) + (3 * 3) + (3 * 5) + (1/2 * 3 * 4) + (1/2 * 3 * 4)] cm^2
((Area of rectangle/square is base times height.
Area of triangle is one-half times base times height.))
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Answer:
x=5
Step-by-step explanation:
Answer:
X = 5
Step-by-step explanation:
20 points, help. I have this due in like 20 minutes.
Answer:
in sequence, -7, 3, 43, -27
Step-by-step explanation:
Lol there is a no way she taught us this
Answer:
it is 4,5 and 9
this is correct answer of this question
The chess clubcab have at most 36 members. The are 3 times as many boys as girls in the chess club. Which inequality could be used to determine the possible number of girls, x, in the chess club?
Answer:
The number of girls is at most 9 girls
y ≤ 9
Step-by-step explanation:
The chess clubcab have at most 36 members.
At most means : Less than or equal to 36 members and it is represented by the inequality = ≤
The are 3 times as many boys as girls in the chess club.
Boys = x
Girls = y
Hence,
x = 3y
Which inequality could be used to determine the possible number of girls, x, in the chess club?
Therefore,
x + y≤ 36
3y + y ≤ 36
4y ≤ 36
y ≤ 36/4
y ≤ 9
Girls = y
The number of girls is at most 9 girls
Helppppppppppppppppppppp
Answer:
154
Step-by-step explanation:
15cm = 150 mm + 4 mm = 154
- The highest common factor of two numbers is 175.
The lowest common multiple of these two numbers
is 12 600.
Both numbers are greater than their highest
common factor.
Find the two numbers.
Answer:
1400, 1575
Step-by-step explanation:
Two number: 175x , 175y (x and y no more common factor)
LCM: 175xy = 12600
xy = 72
72: (1,72) (2,36) (3,24) (4,18) (6,12) (8,9) only (8,9) fit no common factor
Two number: 8*175 = 1400 9*175 = 1575
HELP ME PLEASE!!!! I WILL GIVE BRAINLEST
(08.01)
Which of the following statements shows a characteristic of a statistical question? (4 points)
Group of answer choices
The question is focused.
The question allows for surveys to be conducted.
The question asks for a quantitative response.
The distribution can be broken into categories.
Question 15
Some organisms reproduce both sexually and asexually.
True
False
PLEASE HELP ASAP (8th grade question)
Answer:
m∠2=35°, m∠1=35°
Step-by-step explanation:
∠2 and ∠4 equal 180° when added, so 180-145=35
all angles of a triangle equal 180°, so 180-∠3-∠2=∠1
180-110-35= 35
This is accounting plz help