For any three rational numbers a, b, & c, we have a + (b+c) = (a+b)+c , this property is called
Answer: Associative Property of Addition
This property says that we can group terms in any order we want, and the results of the addition would be the same.
For example, 2+(3+4) = 2+(7) = 2+7 = 9 and (2+3)+4 = (5)+4 = 5+4 = 9. Therefore, 2+(3+4) = (2+3)+4 is a true equation since both sides evaluate to 9.
This property works not only for rational numbers, but for any real numbers.
What is the measure of Arc E B C?
5 (RootIndex 3 StartRoot x EndRoot) + 9 (RootIndex 3 StartRoot x EndRoot)
Answer:
C. 14 RootIndex 3 StartRoot x EndRoot)
Step-by-step explanation:
To obtain the sum ; the a clear explanation has been attached in the picture below ;
What is the answer to this question
Answer:
B - Congruent : SAS
Step-by-step explanation:
We are given that there are two sides that are congruent and one angle is congruent and it is in the order Side Angle Side.
For his long distance phone service, Justin pays a $3 monthly fee plus 11 cents per minute. Last month, Justin's long distance bill was $12.79. For hov minutes was Justin billed?
Answer:
89 minutes
Step-by-step explanation:
let he talked for x minutes.
$12.79=1279 cents
1279=300+11x
11x=1279-300=979
x=89
PLS HELP ASAP HOW DOES THIS= THIS
f(x)=2x^3-9x^2+11x-20....
look at photo.
true or false
Answer:
false
Step-by-step explanation:
What is the area of a cross section that is parallel to face BFGC?
Answer: 216cm2
Step-by-step explanation: 36x6
Factor 2x^2 +15x +25 = 0
Answer:
Step-by-step explanation:
(2x + 5)(x + 5) = 0
2x + 5 = 0
2x = - 5
x = -5/2
x + 5 = 0
x = -5
[tex]y = x {}^{2} - 9x + 14[/tex]
Given that y can be written in the form
[tex](x + a) {}^{2} + b[/tex]
, where a and b are constants, find the value of a and the value of b.
pls help i rly need this Pls pls pls pls
Answer:
a = - [tex]\frac{9}{2}[/tex] , b = - [tex]\frac{25}{4}[/tex]
Step-by-step explanation:
To obtain the required form use the method of completing the square
add/ subtract ( half the coefficient of the x- term)² to x² - 9x
y = x² + 2(- [tex]\frac{9}{2}[/tex] )x + [tex]\frac{81}{4}[/tex] - [tex]\frac{81}{4}[/tex] + 14
= (x - [tex]\frac{9}{2}[/tex] )² - [tex]\frac{81}{4}[/tex] + [tex]\frac{56}{4}[/tex]
= (x - [tex]\frac{9}{2}[/tex] )²- [tex]\frac{25}{4}[/tex] ← in the form (x + a)² + b
with a = - [tex]\frac{9}{2}[/tex] and b = - [tex]\frac{25}{4}[/tex]
Answer:
a = 4.5
b = -6.25
Step-by-step explanation:
The given equation to us is ,
[tex]\implies y = x {}^{2} - 9x + 14[/tex]
And its given that it can we written in the form of ,
[tex]\implies (x + a) {}^{2} + b[/tex]
Where ,
a and b are constants .Therefore ,
[tex]\implies y = x^2 -9x + 14 [/tex]
Multiplying 9x by 2/2 ,we have ,
[tex]\implies y = x^2 -\dfrac{2}{2}\times 9 x + 14 [/tex]
Adding and subtracting (9/2)² ,
[tex]\implies y = \bigg\{ x^2 -\dfrac{2}{2}\times 9 x + \bigg(\dfrac{9}{2}\bigg)^2 \bigg\} +14 -\bigg(\dfrac{9}{2}\bigg)^2[/tex]
Therefore , we can write it as ,
[tex]\implies y = \bigg( x + \dfrac{9}{2}\bigg)^2 + 14 - 20.25 \\\\\implies \underline{\underline{ y = \bigg( x + \dfrac{9}{2}\bigg)^2 - 6.25 }}[/tex]
Hence the value of a is 9/2 and b is -6.25 .
help plsss
1/2x^2 =2
If x1 and x2 are the solutions to the equation above,
what is the value of x1 + x2?
A) 0
B) 1
C) 2
D) 4
[tex]\large {\text {$ \sf \cfrac{1}{2x^2} -2 = 0 $}}[/tex]
Now, we will multiply per 2x² both sides of equation...[tex]\large {\text {$ \sf \cfrac{1}{2x^2}\cdot \:2x^2-2\cdot \:2x^2=0\cdot \:2x^2 $}[/tex]
[tex]\searrow[/tex]
[tex]\large {\text {$ \sf 1-4x^2=0$}}[/tex]
We have to write in standard form...[tex]\large {\text {$ \sf -4x^2+1 = 0 $}}[/tex]
[tex]\large {\text{$\sf x=\cfrac{-b\pm\sqrt{b^2-4ac}}{2a} \quad\rightarrow\quad x=\cfrac{-0\pm\sqrt{0^2-4\cdot (-4) \cdot1} }{2\cdot (-4) } \:\rightarrow\:\: x=\cfrac{-0^2 \pm4}{2 \cdot(-4)} $}}[/tex]
[tex]\huge {\text {$ \sf \downarrow$}}[/tex]
[tex]\large {\text {$\sf {\bf x_1} = \cfrac{-0+4}{2\left(-4\right)}= \cfrac{-1}{2} $}}[/tex] [tex]\large {\text {$\sf {\bf x_2 }=\cfrac{-0-4}{2\left(-4\right)} = \cfrac{1}{2} $}}[/tex]
At this point, we're going to add the values of x₁ and x₂:[tex]\large {\boxed {\boxed { \bf x_1 + x_2= -\cfrac{1}{2}+ \cfrac{1}{2} = 0} }}[/tex]
[tex]\huge {\text {$ \it Alternative \: A $}}[/tex]
Instructions: Problem 1 ! Find the missing angle in the image below. Do not include spaces in your answers
Answer:
40 degrees
Step-by-step explanation:
The 100 degree angle is supplementary to angle CED. This means CED will end up being 80 degrees. Since the angles in all triangles equate to 180 degrees 80 + 60 + angle D must equal 180 degrees. Therefore, angle D has to be 40 degrees.
Find the volume of the triangular prism."
14 ft
h=3A
6 ft
Answer:
Step-by-step explanation:
volume =triangular area× length
=1/2×6×3×14
=126 ft³
Answer:
About 126 ft cubed
identify the volume of a sphere if it has a surface area of 465 square units
Step-by-step explanation:
S.A = 465
4πr²= 465
r². = 36.9
r. = 6.08
volume of a sphere = 4/3πr³
= 4/3π * 6.08³
= 941.8 cm³
The radius of the sphere will be 6.08 units. Then the volume of the sphere will be 942.87 cubic units.
What is the volume of the sphere?A circular solid object or its surface whose points are all equally spaced from the center.
Let r be the radius of the sphere.
Then the volume of the sphere will be
V = 4/3 πr³ cubic units
The surface area of the sphere will be 465 square units.
The surface area of the sphere is given as,
SA = 4πr²
Then the radius of the sphere will be
4πr² = 465
r² = 37
r = 6.08 units
Then the volume of the sphere will be
V = 4/3 π (6.08)³
V = 4/3 π x 225.09
V = 300 π
V = 942.87 cubic units
Thus, the volume of the sphere will be 942.87 cubic units.
More about the volume of the sphere link is given below.
https://brainly.com/question/9994313
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Juan is selling fruit baskets and pencils for his
fundraisers. He started his fundraising early and has 12
weeks to reach his goal of selling $300.00 worth of
goods to pay for his trip's cost.
If Juan uses the table shown to represent all of his
data, what interval for the weeks would you use in
column 1 so that all 12 weeks are represented?
Week.labels:
X1, 2, 3, 4
2, 4, 6, 8
3, 6, 9, 12
1, 3, 6, 10
Answer:
Juan will need the number of fruit baskets to sell the last three weeks to achieve his goal=18
Step-by-step explanation:
sszhskf7kj Is correct
He's the one that commented on the other answer
C) 3, 6, 9, 12
(6 x 10 to the power of -1) - (5 x 10 to the power of -3)
Answer:
0.595.
Step-by-step explanation:
.
Answer:
[tex]\frac{6247}{375000}[/tex]
Step-by-step explanation:
Hey, Ace here!
We have the equation [tex](6*10)^{-1} - (5*10)^{-3}[/tex]
Let's simplify by doing the parenthesis first:
[tex]60^{-1} - 50^{-3}[/tex]
According to our exponent rules, [tex]a^{-b}=\frac{1^{b}}{a^{b}}[/tex]
So let's simplify:
[tex]\frac{1^{1}}{60^{1}} - \frac{1^{3}}{50^{3}}[/tex]
Simplify further:
[tex]\frac{1}{60} - \frac{1}{125000}[/tex]
Find a common denominator (which, yes, is a pain):
[tex]\frac{1*6250}{60*6250} - \frac{1*3}{125000*3}[/tex]
Simplify:
[tex]\frac{6250}{375000}-\frac{3}{375000}[/tex]
Now perform the subtraction:
[tex]\frac{6247}{375000}[/tex]
That's your answer. Let me know if you have any questions.
Is the graph increasing, decreasing, or constant? +3 A. Increasing B. Decreasing C. Constant
Answer:
Increasing
Step-by-step explanation:
Decreasing means that its moving down (from the right) and Increasing means that its moving up (from the right), while constand means that it goes in a straight line.
Since it is moving up from the right, that means it's increasing.
The slope is positive, then the graph is increasing. Then the correct option is A.
What is the equation of line?The equation of line is given as
y = mx + c
Where m is the slope and c is the y-intercept.
The graph is given below.
The line is passing through origin.
At x = 1, the value of y will be 3.
Then the slope will be
m = 3 / 1
m = 1
Then the equation of line will be
y = 3x
The slope is positive.
Then the graph is increasing.
Then the correct option is A.
More about the equation of line link is given below.
https://brainly.com/question/21511618
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find perimeter of the semicircular region
Answer:
4. 87.96 yd
5. 47.12 ft
6. 34.56 cm
Step-by-step explanation:
4. diameter(d) = 28 yd,
perimeter = πd = 87.96 yd (rounded to 2 dp)
5. radius(r) = 7.5 ft
perimeter = 2πr = 47.12 ft (rounded to 2 dp)
6. diameter (d) = 11 cm
perimeter = πd = 34.56 cm
Answered by GAUTHMATH
Formula to find the perimeter of a semicircular region:
if radius given: [tex]P=2r[/tex] + [tex]\pi r[/tex] {r = radius}
if diameter given: [tex]P=d+\pi r[/tex] {d = diameter}
Take [tex]\pi[/tex] as 3.14
Q4.
Diameter = 28 yd
Radius = 28/2 = 14 yd
[tex]P=28+\pi (14)[/tex]
[tex]P=28+(3.14)(14)[/tex]
[tex]P=28+14.96[/tex]
[tex]P=42.96[/tex] yd
Q5.
Radius = 7.5 ft
Diameter = 7.5 × 2 = 15 ft
[tex]P=2(7.5)+\pi (7.5)[/tex]
[tex]P=2(7.5)+(3.14)(7.5)[/tex]
[tex]P=15+23.55[/tex]
[tex]P=38.55[/tex] ft
Q6.
Diameter = 11 cm
Radius = 11/2 = 5.5 cm
[tex]P=11+\pi (5.5)[/tex]
[tex]P=11+(3.14)(5.5)[/tex]
[tex]P=11+17.27[/tex]
[tex]P=17.27[/tex] cm
I hope this helps...
Have a great day ahead :)
What value of x makes this equation true?
3( 1/2x+4)= 2x+2
3(1/2x +4) = 2x +2
Use distributive property by multiply 3 by each term on the left side:
3/2x + 12 = 2x + 2
Subtract 12 from both sides:
3/2x = 2x -10
Subtract 2x from both sides:
-1/2x = -10
Multiply both sides by -2:
x = 20
Answer: x = 20
If function fhas zeros at -3 and 4, which graph could represent function ?
Answer:
Graph A
Step-by-step explanation:
Zeroes mean the x intercepts so the only graph that has points at -3 and 4 is GRAPH A. You can also come to the conclusion by using process of elimination.
Given cosΘ=2/3 and sinΘ>0, find sinΘ
(Just for clarification, those zeros with horizontal lines in the center represent theta)
Answer:
sinΘ = √5/3
Step-by-step explanation:
Mathematically, we know that the cos of an angle is the ratio of the adjacent to the hypotenuse
The sine of an angle is the ratio of the opposite to the hypotenuse
So in this case, from the cosine given; adjacent is 2 and hypotenuse is 3
From the Pythagoras’ theorem, we can get the opposite
Mathematically, the square of the hypotenuse equals the sum of the squares of the two other sides
Let us have the opposite as x
3^2 = 2^2 + x^2
9 = 4 + x^2
x^2 = 9-4
x^2 = 5
x = √5
This root can be positive or negative
But since the sine is positive, we shall be considering only the positive root
Thus;
sine theta = √5/3
What is the image of the point (8,4) after a rotation of 90° counterclockwise about the origin?
=========================================================
Explanation:
The 90 degree counterclockwise rotation rule we use is
[tex](x,y) \to (-y,x)[/tex]
the x and y coordinates swap places, and we change the sign of the first coordinate after the swap.
After using that rotation rule, we would go from (8,4) to (-4, 8) which is the final answer.
----------------
Extra info (optional section):
Define the following three points
A = (0,0)
B = (8,4)
C = (-4,8)
Use the slope formula to find that AB and AC have slopes of 1/2 and -2 in that order.
Those slopes multiply to -1, since (1/2)*(-2) = -1. This is a property of any two perpendicular lines as long as neither line is vertical and neither is horizontal. So this is sufficient to prove that the lines are perpendicular. This further means that a 90 degree rotation has taken place.
the area of the rectangle is 48cm^2
show that x satisfies the equation x^2 + 7x -78 = 0
Answer:
No its doesn't satisfy the equation.
[tex]{ \bf{area = 2(l + w)}} \\ { \tt{48 = 2((x + 10) + (x - 3))}} \\ { \tt{24 = 2x + 7}} \\ 2x = 17 \\ x = 8.5 \\ \\ { \bf{in : \: {x}^{2} + 7x - 78 = 0 }} \\ x = 6 \: \: and \: \: - 13[/tex]
how to determine proofs
Answer:
check footprints and then check finger print the finger print pour powder on it and Trace
Find the product. If the result is negative, enter "-". If the result is positive, enter "+".
-7(- a2 ) 2 ( -b3 )
Answer:
7 a⁴ b³
Step-by-step explanation:
-7 ( -a²)²( - b ³)
A negative base raised to an even power equals a positive= -7 ( a²)² ( - b³)
Multiplying an even number of negative terms make the product positive= - 7 ( a²)² × b³
simplify the expression by multiplying exponent= (-7)( a²*² )× b³
= 7 a⁴ b³
Answer:
Solution given:
(-a²)=-a*-a=a²
-b³=-b*-b*-b=-b³
now
-7(-a²)²(-b³)=-7*a⁴*-b³=-7*-1 *a⁴b³=7a⁴b³
the product is 7a⁴b³.
so
enter"+".
Someone please help me ASAP! Worth 10 points
Answer:
(-1,-1)
Step-by-step explanation:
Step 1 identify coordinates of A
A is located at ( -3 , -3 )
Step 2 apply dilation by multiplying the x and y values of coordinate A by the scale factor
Given:
scale factor = 1/3
Coordinates of A: ( -3 , -3 )
* Multiply the x and y values by 1/3 *
( -3 * 1/3 , -3 * 1/3 ) -------> ( -1 , -1 )
The new coordinates would be (-1,-1)
multiply the coordinates of A by the scale factor given
Brian runs 7 miles in 50 minutes. At the same rate, how many miles would he run in 75 minutes?
Answer:
7/50 = x/75
x = 10.5
therefore he would run 10.5 miles in 75 minutes
Answer:
In 75 minutes, she runs (7/50) x 75 = 10.5.
She runs 10.5 miles in 75 minutes.
Step-by-step explanation:
2/3 ÷ 8/9 with explanation and steps...
Answer:
2/3 ÷ 8/9
[tex] \frac{2}{3} \div \frac{8}{9} [/tex]
[tex] \frac{2}{3} \times \frac{9}{8} [/tex]
[tex] \frac{1}{1} \times \frac{3}{4} [/tex]
[tex] \frac{3}{4} [/tex]
hope this will help you more
e) (x + 1)/(2x ^ 3 - 4x ^ 3) + (x - 1)/(2x ^ 3 + 4x ^ 2) = 1/(x ^ 2 - 4)
Answer:
X= − x ^3 + 2 x^2 − 3 x − 2 x ^3 ( x + 2 ) ( x − 2 ) = 0
Step-by-step explanation:
What is the value of p?
A)180
B)90
C) 116
D)58
Can someone help I don’t understand
Answer:
58
Step-by-step explanation:
amy is walking laps whilst frank is jogging laps on the nature trail. Amy completes a lap in 15 minutes, frank completes a lap in 6 minutes. How long will it take before they both finish at the same time
Answer:
9 minutes
Step-by-step explanation:
Firstly they were in the same pace, Amy was walking while Frank was jogging.
then it will be 15 - 6 = 9