Answer:
[tex]48m^2-72mn[/tex]
Step-by-step explanation:
We need to solve [tex](8m-3n)^2 - (4m+3n)^2[/tex]
We know that,
[tex](a+b)^2=a^2+b^2+2ab\\\\(a-b)^2=a^2+b^2-2ab[/tex]
Using the above formula,
[tex](8m-3n)^2 - (4m+3n)^2=(8m)^2+(3n)^2-2(8m)(3n)-[(4m)^2+(3n)^2+2(4m)(3n)]\\\\=64m^2+9n^2-48mn-(16m^2+9n^2+24mn)\\\\=64m^2+9n^2-48mn-16m^2-9n^2-24mn\\\\=48m^2-48mn-24mn\\\\=48m^2-72mn[/tex]
So, the final answer is [tex]48m^2-72mn[/tex].
Are these quanities dirctly proportional?
Distance and Time it takes to cover it, if a car moves with the same speed.
Plz Help Me
Answer Yes or No
9514 1404 393
Answer:
yes
Step-by-step explanation:
When distance and time are both zero at once, and speed is constant, then distance and time are proportional:
distance = speed × time
The constant of proportionality is the (constant) speed.
Find the total surface area of this cuboid
Answer:
the cuboid isint showing
Step-by-step explanation:
Estimate the sum of 1 2/3+3 2/7
Answer:
4 3/10
Step-by-step explanation:
I hope this helps you out!
Answer:
the answer is 104/21 or 4 20/21
Step-by-step explanation:
Which rational exponent represents a square root?
A. 1 / 2
B. 3/2
C. 1/3
D. 1/4
Answer:
1/2 rational exponent represents a square root.
Therefore, option A is correct.
Step-by-step explanation:
As we know that raising to the one-half power i.e. [tex]\frac{1}{2}[/tex] is the same
as taking the square root.
so [tex]x^{\frac{1}{2}}[/tex] is the same as the square root of [tex]x[/tex].For example, taking the square root of 4 will determine:
[tex]4^{\frac{1}{2}}[/tex]
[tex]\mathrm{Factor\:the\:number:\:}\:4=2^2[/tex]
[tex]4^{\frac{1}{2}}=\left(2^2\right)^{\frac{1}{2}}[/tex]
[tex]\mathrm{Apply\:exponent\:rule}:\quad \left(a^b\right)^c=a^{bc},\:\quad \:a\ge 0[/tex]
[tex]\left(2^2\right)^{\frac{1}{2}}=2^{2\cdot \frac{1}{2}}[/tex]
so the expression becomes
[tex]4^{\frac{1}{2}}=2^{2\cdot \:\frac{1}{2}}[/tex]
[tex]=2^1[/tex]
[tex]=2[/tex] ∵ [tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^1=a[/tex]
so, 1/2 rational exponent represents a square root.
Therefore, option A is correct.
Answer: A.) 1/2 is the correct answer
Step-by-step explanation:
8.1(x – 4) = -11.1 + x
Answer:
x=3
Step-by-step explanation:
Jordan bought 4 shirts
that each cost the same
amount and I pair of
jeans that cost $40.
The items he bought cost
a total of $180 before
tax. What was the cost of
each shirt?
Answer:35 dollars each
Step-by-step explanation: Because if you take the $40 out of 180 you get 140 then you divide 140 by 4 and you get 35. Hope this helps.
Lines AB and CD are straight lines. Find x and y. Give reasons to justify your solutions.
Answer:
Step-by-step explanation:
3x + y + 72 = 180
3x + y = 108 .... (1)
2x + y = 90 ..... (2)
(1) - (2)
x = 18°
y = 54°
Answer:
Step-by-step explanation:
What foal birth weight would you predict using the least squares equation for a mare that weighs 520 kg?
Answer:
520
Step-by-step explanation:
What is the value of X when solving the equation -2x+(-8)=2x+8
Answer: X=-4
Step-by-step explanation:
how online school? mines/ I don’t like it my grades are going down
Answer:
I hope it gets easier for you :)
8. A tire dealer sells Supreme tires for $48 each and Prestige tires for $56 each. During one week, the sales for both tires totaled $2008. If 11 Prestige tires were sold, write and solve a linear equation to find the number of Supreme tires sold.
Answer:
31 Supreme tires were sold.
Step-by-step explanation:
Cost of one Supreme tire = $45
Cost of one Prestige tire = $56
Total sales = $2008
Let x represent quantity of supreme tyre
Let y represent quantity of Prestige tyre
So, the equation will be:
[tex]45x+56y=2008[/tex]
11 Prestige tires were sold, write and solve a linear equation to find the number of Supreme tires sold.
So, we are given y= 11 and we need to find value of x using above equation
[tex]45x+56y=2008\\45x+56(11)=2008\\45x+616=2008\\45x=2008-616\\45x=1392\\x=\frac{1392}{45}\\x=30.933\\ x\approx31[/tex]
So, 31 Supreme tires were sold.
Please please help please please help me please help please please help me
Answer: AC=108
Step-by-step explanation:
6x=9x-27
9-6=3
27/3=9
x=9
6x9=54
9(9)=81
81-27=54
54(2)=108
AC=108
The formula for the circumference of a circle is C = 2r, where r is the radius and C is the circumference. The equation solved for r is r = r equals StartFraction C Over 2 pi EndFraction..
Find the radius of a circle that has a circumference of 16.
Answer:
8
Step-by-step explanation:
Answer: 8
Step-by-step explanation:
hi how yall doiiinnn
Pretty good, How about you
Answer: heyyyyy I’m going good
Which of the following inequalities matches the graph? (1 point)
graph of an inequality with a solid line through the points (1, 4) and (2, 9) with shading below the line
The correct inequality is not listed.
5x + y greater than or equal to 1
5x + y less than or equal to 1
5x − y greater than or equal to 1
Answer:
Answer is D 5x-y>= 1 :)
Step-by-step explanation:
Answer:
the guy above me is correct
Step-by-step explanation:
Ahah please help me im begging you!!Please
ANSWER CHOICE:Y=-2x+6. Y=2x+6. Y=-2x. Y=2x (They are hypotenuses triangles)
Answer:
y=2x+6
Step-by-step explanation:
When x=0,y=6 so not CD
when y=0,x=-3 so not A
HELPPPP PLEASE PLEASE HELP HELP PLEASE NEED HELP MATH MATH
Answer: X equals 11.
Step-by-step explanation:
2600 = 235x + 15
2585 = 235x (subtract 15)
11 = x (divide 2585 by 235)
Answer:
11
Step-by-step explanation:
Which is the correct way to check your answer for -20d=40?
A. -20/40=d
B. 40/-20=d
C. 40-20=d
D. -20d=40
Answer:
D
Step-by-step explanation:
After you get the answer then you should feel in the d with the number. Example:
-20D=40
Divide both sides by -20
D=-2
So know you should fill in d
-20(-2)=40
40=40
True
a rectangle has a length of x3y4 inches and a width of xy7 inches . Which expression represents the ratio of the length of the rectangle to do width of the rectangle? (NEED HELP ASAP)
Answer:
A. x²/y³
Step-by-step explanation:
Given the following data;
Length = x³y⁴
Width = [tex] xy^{7}[/tex]
Ratio = length/width
[tex] Ratio = \frac{x^{3}y^{4}}{xy{^7}}[/tex]
Simplifying the equation by applying the law of indices (division), we have;
[tex]\frac{x^{3}}{x} = x^{3} - x^{1} = x^{3-1} = x^{2} [/tex]
[tex]\frac{y^{4}}{y^{7}} = y^{4} - y^{7} = y^{4-7} = y^{-3} [/tex]
Hence, rearranging the above values;
[tex] Ratio = \frac{x^{2}}{y^{3}}[/tex]
Therefore, the expression that represents the ratio of the length of the rectangle to the width of the rectangle is A. x²/y³.
Help pls and thank you
Answer:
yes they are congruent because they have the same size and shape
Step-by-step explanation:
stop stealing peoples points bruh
Abox of 15 cookies costs $9.
What is the cost for 1 cookie?
Answer:
1 dollar
Step-by-step explanation:
Answer:
$1.66
Step-by-step explanation:
It would roughly be this but a few cents more the way i divided this was different. All you do 15/9 to get 1.66 with a non-terminating decimal.
The ratio 5:15 simplifies to
Answer:
5:15 simplifies to 1:3.
Step-by-step explanation:
Answer:
1:3
Step-by-step explanation:
Craig has a 6 ft by 6 ft square garden in his backyard. He wants to transform the garden into a rectangular shape and reduce the area to 32 square feet. He will do this using his current fencing by reducing the length by x feet and adding it to the width.
Choose the equation that could be used to find 2 consecutive numbers integers whose summer is 67
Help me pls T^T ASAP
What are the conjugate and modulus of –14 – 2i?
A.) 14 + 2i and 8 StartRoot 3 EndRoot
B.) 14 + 2i and 10 StartRoot 2 EndRoot
C.) –14 + 2i and 8 StartRoot 3 EndRoot
D.) –14 + 2i and 10 StartRoot 2 EndRoot
Answer:
D.) -14 + 2i and 10√2
Step-by-step explanation:
Got it right on Edge
A complex number is a number system that extends the real numbers with a particular element labelled "i" known as the imaginary unit. The correct option is D.
What is a complex number?A complex number is a number system that extends the real numbers with a particular element labelled "i" known as the imaginary unit, and satisfies the equation i² = -1; every complex number may be represented as a + bi, where a and b are real numbers.
To find the conjugate of a complex number, we change the sign of the complex part of the number. Therefore, the conjugate of -14-2i is -14+2i.
The modulus of the given complex number -14-2i is,
|z| = √[(-14)²+(-2)²]
= √(196 + 4)
= √200
= 10√2
Hence, the conjugate and modulus of –14 – 2i are -14+2i and 10√2, respectively.
Learn more about Complex Number:
https://brainly.com/question/28007020
#SPJ2
25z+85=90 whats the answer ?
Answer:
z = 1/5
Step-by-step explanation:
5 divided by 25 is 20 percent and in fractions its 1/5
HELPPPPP ITS URGENT
a large candy bar was 116 calories. the smaller candy bar was 28% less calories. how many calories does the smaller candy bar have?
Answer: 83.52 calories
Step-by-step explanation:
first candy bar=116 calories
second candy bar= has 28% less calories
to find out the answer we will 28/100=0.28
116x0.28=32.48 calories(less)
116-32.48=83.52 calories for the second candy bar
Algebraic Expressions
Write an algebraic expression for the following.
the sum of y and 4
Answer:
The algebraic expression of the sum of y and 4 will be: [tex]y+4[/tex]
Step-by-step explanation:
As we know that An algebraic expression in mathematics is an expression which consists of:
variables and constants, along with algebraic operations such as addition, subtraction, etc. and are made up of termsAs we have to determine the expression of the sum of y and 4.
Hence, the algebraic expression of the sum of y and 4 will be: [tex]y+4[/tex]
Answer:
y + 4
Step-by-step explanation:
Sum means it's an addition problem, so y + 4 is the answer.
hope it helps
Ari stocks shelves at a grocery store. He
puts 35 cans of juice in each display case.
The case has 4 shelves with an equal
number of cans, and one shelf with only
cans. How many cans are on each of the
Equal shelves?