Answer:
Distributive law, in mathematics, the law relating the operations of multiplication and addition, stated symbolically, a(b + c) = ab + ac; that is, the monomial factor a is distributed, or separately applied, to each term of the binomial factor b + c, resulting in the product ab + ac. From this law it is easy to show that the result of first adding several numbers and then multiplying the sum by some number is the same as first multiplying each separately by the number and then adding the products.
Step-by-step explanation:
a(a+b)
in this question first a will multiply by a+b.
like this;
a(a+b)
= a(a)+ab
= a^2+ab
The simpler form of the expression a(a + b) is [tex]a^2 + ab.[/tex]
Distributive law states that for any numbers a, b, and c :
a(b + c) = ab + ac
Expression: a(a + b) rewrite it using the distributive law to simplify it.
1. Start with the expression a(a + b).
2. Apply the distributive law by multiplying the 'a' outside the parentheses by each term inside the parentheses:
a(a + b) = a * a + a * b
3. Simplify by multiplying:
a(a + b) = [tex]a^2 + ab[/tex]
Therefore, the simpler form of the expression a(a + b) is [tex]a^2 + ab.[/tex]
Know more about distributive law,
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Please help, the question is in the picture
Answer:
per = 18a 7a+2a+7a+2a
area = 14 [tex]a^{2}[/tex] 7a*2a
Step-by-step explanation:
Answer:
(i) 18a
(ii) 14[tex]a^2[/tex]
Step-by-step explanation:
i: 7a+7a+2a+2a
14a+4a
18a
ii: 7a*2a
14a2
I hope this helps!
Hello! I’m really struggling with this, any help is appreciated (:
Hi, It's the 3rd option
Thanks, It was little hard to find the answer. I am not totally sure about it but as far as I understand this question. the third option is correct.
:)
what is the LCD of 1/6 and 2/3
Answer:
6
Step-by-step explanation:
What does LCD mean?LCD means Least Common Denominator
1/6 and 2/3. You can easily see the least common denominator is 6 for 2/3 = 4/6 and 1/6 doesn't need to change.Hope this helped!
Answer:
6
Step-by-step explanation:
We want to find the denominator that is common for both fractions
LCD means least common denominator of the smallest denominator that is common to both
6 and 3 , the smallest factor that is common to both is 6
If the measure of FGH IS 64º and the measure of EGD is (4x+8), what is the value of x?
E
D
F
H
[tex]\\ \sf\longmapsto 4x+8=64[/tex]
[tex]\\ \sf\longmapsto 4x=64-8[/tex]
[tex]\\ \sf\longmapsto 4x=56[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{56}{4}[/tex]
[tex]\\ \sf\longmapsto x=14[/tex]
HELP FAST 100 POINTS
MUCH SHOW WORK
Answer:
x is 7 and m<1 is 99°
Step-by-step explanation:
m<NMQ + m<MQN + m<QNM = 180°
[tex]{ \sf{(5x + 19) + (8x - 11) + (11x + 4) = 180}} \\ { \sf{24x + 12 = 180}} \\ { \sf{24x = 168}} \\ { \sf{x = \frac{168}{24} }} \\ \\ { \sf{x = 7}}[/tex]
m<1 = 180° - (11x + 4)
m<1 = 180° - 81°
m<1 = 99°
Using angle sum property
[tex]\\ \sf\longmapsto 5x+19+8x-11+11x+4=180[/tex]
[tex]\\ \sf\longmapsto 24x12=180[/tex]
[tex]\\ \sf\longmapsto 24x=180-12=168[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{168}{24}[/tex]
[tex]\\ \sf\longmapsto x=7[/tex]
<1=11(7)+4=77+4=81[/tex]28. find the range…
please help!!!
Answer:
A
Step-by-step explanation:
lmao this problem is bullshit because the actual answer would be [2, 2] U (7, infty) but thats literally not there, so ig the closest one would be [2, infty) which is A
if it was asking for the domain on the other hand, then it would be B lmao
but I would go with A
A giant pie is created in an attempt to break a world record for baking. The pie is shown below:
A circle is shown with a central angle marked 45 degrees and the diameter marked 15 feet.
What is the area of the slice of pie that was cut, rounded to the nearest hundredth?
22.08 ft2
24.45 ft2
26.32 ft2
28.97 ft2
Answer:
22.08 ft^2
Step-by-step explanation:
First find the area of the full circle
A = pi r^2
The diameter is 15 so the radius is 1/2 (15) = 7.5
A = (3.14) (7.5)^2
=176.625
45 degrees is a fraction of a circle which is 360 degrees
45/360 = 1/8
Multiply the area of the circle by this fraction
1/8 (176.625) =22.078125
Rounding to the nearest hundredth
22.08
Answer:
22.08 ft2
Step-by-step explanation:
Help in 36 and 37 pls
Answer:
The answer of number 36 is G and the answer of number 37 is A
PLZ GIVE DETAILED EXPLATION WITH ANSWER.
WILLMARK BRAINLIEST
Answer:
Print('Batman')
Step-by-step explanation:
it literally says "Elif False and False or True and True print('Batman')
230% of 99 hours is what?
Answer:
227.7 hours
Step-by-step explanation:
of means multiply and is means equals
230% * 99 = what
Change the percent to decimal form
2.30 * 99 = what
227.7= what
[tex]\\ \sf\longmapsto 230\%\:of\:99[/tex]
[tex]\\ \sf\longmapsto \dfrac{230}{100}\times 99[/tex]
[tex]\\ \sf\longmapsto \dfrac{230(99)}{100}[/tex]
[tex]\\ \sf\longmapsto \dfrac{22777}{100}[/tex]
[tex]\\ \sf\longmapsto 227.7hours[/tex]
50 000 000 = 3000 * 2.6^t
How do I find t?
Step-by-step explanation:
50000000=3000*2.6^t.
2.6^t=50000÷3
t÷2.6=50000÷3
t=50000*2.6÷3
A rose garden is formed by joining a rectangle and a semicircle, as shown below. The rectangle is 24 ft long and 16 ft wide.
Find the area of the garden.
Answer: Using width as diameter=32π Using length as diameter=72π
*I included both possibilities since I didn't see a picture of the way in which the semicircle and rectangle were joined.*
Step-by-step explanation:
In order to solve, you have to know the formula for area of a circle which is A=πr^2 (pi*radius to the 2nd power)
The problem does not give us the radius, but we know that radius is half of the diameter.
To find the diameter, we have to use the side measurement of the rectangle and divide it by 2 to find the radius.
Next, we increase the radius to the 2nd power, giving us the radius of a whole circle.
Finally, we have to divide that by 2 since it's a semi circle otherwise known as half of a circle.
I put the answer in terms of pi since that's the most accurate, but if the question specifically instructs it, you can calculate part of the irrational decimal and round to a certain place value.
What is the slope of the line shown below?
A.
[tex] \frac{1}{2} [/tex]
B.
[tex] - \frac{1}{2} [/tex]
C.
[tex]2[/tex]
D.
[tex] - 2[/tex]
Answer:
The choose C. 2
Step-by-step explanation:
[tex]slope = \frac{y2 - y1}{x2 - x1} \\ = \frac{ - 2 + 4}{3 - 2} = \frac{2}{1} = 2[/tex]
Answer:
option C is correct
Step-by-step explanation:
slope = [tex] \frac{ - 2 + 4}{3 - 2} [/tex][tex] = \frac{2}{1} [/tex][tex] = 2[/tex]Hope it is helpful....
Simplify
4(w + 2) - 7
Answer:
4w +1
Step-by-step explanation:
4(w + 2) - 7
Distribute
4*w + 4*2 -7
4w +8-7
Combine like terms
4w +1
Hey there!
4(w + 2) - 7
DISTRIBUTE 4 WITHIN the PARENTHESES
= 4(w) + 4(2) - 7
= 4w + 8 - 7
COMBINE the LIKE TERMS
= 4w + 1
Answer: 4w + 1
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Find m∠AMY+m∠CME. i dont understand
Answer:
It's 46°
Step-by-step explanation:
[tex]m \angle AMY = 62 - 37 = 25 \degree[/tex]
[tex]m \angle CME = 159 - 138 = 21 \degree[/tex]
[tex]{ \tt{m \angle AMY + m \angle CME = 21 \degree + 25 \degree}} \\ { \tt{ = 46 \degree}}[/tex]
The sum of the angles m∠AMY and m∠CME is 83 degrees option (B) is correct.
What is an angle?When two lines or rays converge at the same point, the measurement between them is called a "Angle."
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
From the picture,
The measure of angle PMY = 62 degrees
The measure of angle PMA = 37 degrees
The measure of angle AMY = Angle PMY - Angle PMA = 62 - 37
= 25 degrees
Similarly,
Angle CME = 79 - 21 = 58 degrees
m∠AMY+m∠CME = 25 + 58 = 83 degrees.
Thus, the sum of the angles m∠AMY and m∠CME is 83 degrees option (B) is correct.
Learn more about the angle here:
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Need help please help please please please please
2) Tìm các giá trị của x để biểu thức M = (x + 5).(x + 9)
a) có giá trị dương. b) có giá trị âm
Answer:
please translated to english
find the domain
PLEASE AND THANK YOUUUU
Answer:
The domain is all real numbers except x=0
Step-by-step explanation:
The domain is the values that x can take
x can be all real number except when the denominator is zero
x cannot be 0
The domain is all real numbers except x=0
The backyard of a new home is shaped like a trapezoid with a height of 44 ft and bases of 90 ft and 110 ft. What is the cost of putting sod on the yard, if the
landscaper charges $0.25 per square foot for sod?
Answer:
$1100
Step-by-step explanation:
First find the area of the trapezoid
A = 1/2 (b1+b2)*h
A = 1/2 ( 90+110) *44
A = 1/2(200)*44
A = 4400ft^2
The cost is .25 per square foot
4400* .25 =1100
Answer:
$1100
Step-by-step explanation:
((90 + 110)/2 * 44)) * .25 = 1100
489
X
96°
x =
degrees
Answer:
x=144°
Step-by-step explanation:
To work out x, you have to find the other angle in the triangle.
Angles in triangles always add up to 180°, so you would have to add up the 2 angles you have and take it away from 180°.
48+96=144°
180-144=36°
Then, to find x, you have to do 180-36 because angles on a straight line always add up to 180°.
180-36=144°
x=144°
Hope this helps :)
An exterior angle of a triangle is equal to the sum of its interior opposite angles.
So,[tex]\large\bf{{\red{ \longrightarrow \:\large\rm \: x \: = \: 96 \degree \: + \: 48 \degree }}} \\ [/tex]
[tex]\large\bf{{\red{ \longrightarrow \:\large\rm \: x \: = \: 144 \degree }}} \\ [/tex]
Part b. is the second part of this question.
If you could explain to me or answer, I'd really appreciate it. This is sort of urgent, so I'd need to get it done soon. Thank you.
Answer:
I have tried but I can't sorry friend
A carton of 24 bottles of sports drink costs $16. How many bottles of sports drink can you get
with $12
Answer:
8
Step-by-step explanation:
24 bottles = 16 dollars!
? bottles = 12 dollars
Note:
In these type of Questions, find out any dollars you could get with 1 bottle
or in simple terms, (first find the unit Rate)
24/16 = 1.5
1 bottle = 1.5 dollars
? bottles = 12 Dollars?
12/1.5
= 8
I hope that helps! Have a wonderful day!Jiayi typed w word in 40 minutes. How many words did she type in 1 minute?
Answer:
40 minutes in w worlds
1 minutes =W/4
Words typed in 40 minutes = w
So, words typed in 1 minute
= Words typed in 40 minutes/40
= w/40
So, she Jiayi typed (w/40) words in 1 minute.
Someone help please.
Answer:it could b phase shift but i think that u would have 2 put it on the axis 2 really get it but that is what is thought n our grade but axis
Step-by-step explanation:
Which graph represents the given equation?
y
=
NICO
+ 4r – 2
Equations can be represented on graphs by plotting the corresponding x and y values. The graph of [tex]y = \frac{3}{2}x^2 + 4x - 2[/tex] is option (B).
Given that:
[tex]y = \frac{3}{2}x^2 + 4x - 2[/tex]
First, we check the y intercept of [tex]y = \frac{3}{2}x^2 + 4x - 2[/tex]
This is when [tex]x = 0[/tex]
So, we have:
[tex]y = \frac{3}{2}x^2 + 4x - 2[/tex]
[tex]y = \frac{3}{2} \times 0^2 + 4\times 0 - 2[/tex]
[tex]y = - 2[/tex]
This point is represented as: [tex](0,-2)[/tex]
Next, check the equation when [tex]x = 1[/tex]
So, we have:
[tex]y = \frac{3}{2}x^2 + 4x - 2[/tex]
[tex]y = \frac{3}{2} \times 1^2 + 4\times 1 - 2[/tex]
[tex]y = 3.5[/tex]
This point is represented as: [tex](1,3.5)[/tex]
From the list of given options (see attachment).
Only graph B has the [tex](0,-2)[/tex] and [tex](1,3.5)[/tex] on its curve.
Hence, option (B) is correct.
Read more about equation of graphs at:
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Answer:
Equations can be represented on graphs by plotting the corresponding x and y values. The graph of is option (B).
Step-by-step explanation:
y intercept is -2y = 3/2x^2 + 4x – 2y = 3/2(0^2) + 4(0) – 2 = -2and x intercepts are0 = 3/2x^2 + 4x – 2aboutx = 0.43050087, -3.09716754
1.Origin
2.Y-Axis
3.Run
4.Solution of a Line
5.Ordered Pairs.
6.Quandrant
7.Solution of a Linear equation
8.slope
9.Slope- intercept form
10.Rise
11.Y intercept
12.parallel Lines
13.X intercept
14.x axis
15.Linear equation
16.Perpendicular Lines
17.Point slope Form
18.Coordinate plane
1.Plane with two axes as a frame of reference.
2.The vertical number line in a coordinate plane
3.The horizontal number line in a coordinate plane
4.A pair of numbers that are used to correspond to a point on a graph where the first number is the x-coordinate and the second number is the y-coordinate.
5.where the x and y axis meet. The point (0,0).
6. One of the four regions into which the x and y axis separate the coordinate plane.
7. An equation with two variables that makes up a straight line on a coordinate plane.
8.The vertical change in a line from one point (x1,y1) to a second point (x2,y2).
9. The horizontal change in a line from one point (x1,y1) to a second point (x2,y2).
10.The ratios of a Lines rise over its run.
11.y-y1=m(x-x1)
12.Any of the ordered pairs that make an equation true.
13. Any of the points that are on the line of an equation.
14. The point where a graph crosses the x axis.
15. The point where a graph crosses the y axis
16.A Linear equation in the form y=mx+b, where m is the slope and b is the y-intercept
17. Lines that have the same slope and never intersect.
18.Two Lines that intersect at 90°angle.Slopes of these lines are opposite reciprocals.
Step-by-step explanation:
Origin is 5.
Y Axis is 2
Run is 9
Solution of a Line is 13.
Ordered Pairs is 4.
Quadrant is 6.
Solution of Linear Equation is 12.
Slope is 10.
Slope Intercept Form is 16.
Rise is 8.
Y intercept is 15.
Parallel Lines is 17.
X intercept is 14.
X axis is 3.
Linear Equation is 7.
Perpendicular Lines is 18.
Point Slope Form is 11.
Coordinate plane is 1.
a=3x + 2y/3x - 2y. If y =4, x=6 find the value of a.
Answer:
a = [tex]\frac{13}{5}[/tex]
Step-by-step explanation:
Given
a = [tex]\frac{3x+2y}{3x-2y}[/tex] , substitute y = 4 , x = 6
a = [tex]\frac{3(6)+2(4)}{3(6)-2(4)}[/tex] = [tex]\frac{18+8}{18-8}[/tex] = [tex]\frac{26}{10}[/tex] = [tex]\frac{13}{5}[/tex]
Write an expression in simplified form for the area of each rectangle. Width: 11 Length: 3x+2
Answer:
33x+22
Step-by-step explanation:
The area of a rectangle is
A = l*w where l is the length and w is the width
A = 11(3x+2)
Distribute
= 33x+22
Area of rectangle = Length * Width
Length is 3x+2Width is 11⇛Area = 11(3x+2)
⇛Area = 33x + 22
What is the simplest form of 20 over 315?
Answer:
4/63
Step-by-step explanation:
20/315 = (20÷5)/(315÷5)
Plz help me ASAP plz
Answer:
3
Step-by-step explanation:
RS = 15 and RT which is the whole line = 18 so we just have to do 18-15 which equals 3. Your answer is 3! So a!
