Answer:
[tex]x^{4}+28x^3+294x^2+1372x+2401[/tex]
Step-by-step explanation:
[tex](x+7)^{2} (x+7)^2 = (x+ 7)(x+7)(x+7)(x+7)\\(x^2+7x+7x+49)(x^2+7x+7x+49)=(x^2+14x+49)(x^2+14x+49)\\x^4+14x^3+49x^2+14x^3+196x^2+686x+49x^2+686x+2401\\x^4+28x^3+294x^2+1372x+2401[/tex]
YALL ARE INSANE IF YOU GET THIS! | Simplify (4x - 6) – (5x + 1). (1 point)
X + 7
b
-X + 7
C
X - 7
d
-X - 7
Answer:
Simplify (4x − 6) − (5x + 1).
I believe it would be -x - 7.
Step-by-step explanation:
I took the test and got the answer correct.
Hope this helps! :)
36+81
Rewrite this using Distributive Property
Answer:
3(12+27)
Step-by-step explanation: 3 can go into both of those numbers so u would just divide that by 3 with 36 and 81.
Evaluate 4.8 – (2.5 – 6.3) using any strategy of your choice.
Answer:
If I have understood the problem correctly, your answer will be 8.6
Step-by-step explanation:
You will first subtract 6.3 from 2.5 resulting in you getting -3.8
Now your problem will look like this: 4.8-(-3.8)
Since there is two negatives side by side that negative becomes a positive.
Now your problem looks like this: 4.8+3.8
Now you just add the two together resulting in you getting 8.6
Your Welcome
The resultant of the given expression 4.8 – (2.5 – 6.3) is 8.6.
What is subtraction?To subtract in mathematics is to take something away from a group or a number of objects.
In other meaning, subtraction is a mathematical operation such that two values are going to subtract and give a resultant value.
The group's total number of items decreases or becomes lower when we subtract from it.
Given the expression,
4.8 – (2.5 – 6.3)
4.8 - (-3.8)
Since multiplication of two minuses is plus
So,
4.8 - (-3.8) = 4.8 + 3.8
⇒ 8.6
Hence "The resultant of the given expression 4.8 – (2.5 – 6.3) is 8.6".
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calculate the value of the expression
1, 284°
The expression can be used to find the value of the expression: 1, 284 ÷ 4 will be (1, 200 ÷ 4) + (84 ÷4). Option C is correct.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
It is given that the expression is, 1, 284 ÷ 4
We have to apply the arithmetic operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷. We'll apply division by Splitting into equal halves or groups.
=1284 / 4
The expression can be written as,
=(1200+84)/4
=1200/4 + 84/4
= 321
Thus, the expression can be used to find the value of the expression: 1, 284 ÷ 4 will be (1, 200 ÷ 4) + (84 ÷4). Option C is correct.
The question is incomplete, the complete question is" Find the expression can be used to find the value of the expression: 1, 284 ÷ 4
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In the previous scenario, 8 cookies cost 4 dollars. If the scenario was changed
So 6 cookies cost $4, would the unit rate be higher or lower? Explain.
Answer: Lower
Step-by-step explanation: It is lower because the unit rate is 8:4 and now the unit rate is 6:4
It would be higher because smaller numbers means more value per unit.
Please help ASAP! Classify each angle
Answer:
RLS is a straight angle
RLT is an obtuse angle
TLS is an acute angle
TRL is not an angle
TLU is a straight angle
SLU is an obtuse angle
SLT is an acute angle
ULR is an acute angle
and ULS is an obtuse angle
Step-by-step explanation:
You really just have to look at the angles from either of the straight angles (angles that are 180°) perspective and see of they lean more to make a smaller angle by leaning towards the other end of the angle, or a large one by leaning away from the opposite end.
Helpppp me plz, algebra 1.
Estimate the product. Then find the exact product,
7.9(10.1)
estimated product = 80, exact product = 7.97
estimated product = 80, exact product = 79.79
estimated product = 80, exact product = 797
estimated product = 80, exact product = 7,979
Answer:
estimated product = 80, exact product = 79.79
Please help me in this question.
Find the value of x, y and z.
in the figure a)
y + 105 = 180 ( being linear pair )
y = 180 - 105
y = 75
Now
z = y ( being alternate angle )
z = 75
Also
x = z ( being vertically opposite angles)
x = 75
in the figure b)
we can see it is an isosceles triangle then
60 + 60 + z = 180 ( sum of angles of triangle)
120 + z = 180
z = 180 - 120
z = 60
now
y + 60 = 180( being linear pair)
y = 180 - 60
y = 120
also
x + y = 180( being co interior angles )
x + 120 = 180
x = 180 - 120
x = 60
Identify the error below and make a correction,
The absolute
value of 15 is
-15 because 15 is
15 units to the
left of zero.
Type error and correction here...
Answer:
the absolute value of -15 is 15 because you are basically moving 30 spaces to the right to make the number positive
Please help me to prove this.
For triangle : A + B + C = π
⇒ A + B = π - C
⇒ cot(A + B) = cot(π - C)
⇒ [tex]\sf\dfrac{cotA\:cotB-1}{cotB+cotA}=-cotA[/tex]
⇒ [tex]\bf{cotA\:cotB+cotB\:cotC+cotC\:cotA=1}[/tex]
Now 1st part of the given expression!
⇒ [tex]\sf\dfrac{cosA}{sinB\:sinC}[/tex]
⇒ [tex]\sf\dfrac{cos(\pi-(B+C))}{sinB\:sinC}[/tex]
⇒ [tex]\sf\dfrac{-cosB\:cosC+sinB\:sinC}{sinB\:sinC}[/tex]
⇒ 1 - cotB cotC
Similarly 2nd part!
⇒ 1 - cotA cotB
Similarly 3rd part!
⇒ 1 - cotC cotA
LHS :
[tex]\circ\:\sf{3-(cotA\:cotB+cotB\:cotC+cotC\:cotA)}[/tex]
[tex]\circ\:\sf{3-1}[/tex]
[tex]\circ\:\bf{2}[/tex] = RHS
Hence Proved!!Answer: see proof below
Step-by-step explanation:
Given: A + B + C = π → A + B = π - C
→ B + C = π - A
→ A + C = π - B
Use the following Double Angle Identity: sin 2A = 2 sin A · cos A
Use the following Cofunction Identity: sin A = cos (π/2 - A)
Use the following Sum to Product Identity:
sin A + sin B = sin [(A + B)/2] · cos [(A - B)/2]
Proof LHS → RHS
[tex]\text{LHS:}\qquad \dfrac{\cos A}{\sin B\cdot \sin C}+\dfrac{\cos B}{\sin C\cdot \sin A}+\dfrac{\cos C}{\sin A\cdot \sin B}\\\\\\.\qquad \quad = \bigg(\dfrac{2\sin A}{2\sin A}\bigg)\dfrac{\cos A}{\sin B\cdot \sin C}+\bigg(\dfrac{2\sin B}{2\sin B}\bigg)\dfrac{\cos B}{\sin C\cdot \sin A}+\bigg(\dfrac{2\sin C}{2\sin C}\bigg)\dfrac{\cos C}{\sin A\cdot \sin B}\\\\\\.\qquad \quad =\dfrac{2\sin A\cdot \cos A+2\sin B\cdot \cos B+2\sin C\cdot \cos C}{2\sin A\cdot \sin B\cdot \sin C}[/tex]
[tex]\text{Double Angle:}\qquad \qquad \dfrac{\sin 2A+\sin 2B+\sin 2C}{2\sin A\cdot \sin B\cdot \sin C}\\\\\\.\qquad \qquad \qquad \qquad =\dfrac{(\sin 2A+\sin 2B)+\sin 2C}{2\sin A\cdot \sin B\cdot \sin C}[/tex]
[tex]\text{Sum to Product:}\qquad \dfrac{2\sin (A+B)\cdot \cos (A-B)+\sin 2C}{2\sin A\cdot \sin B\cdot \sin C}[/tex]
[tex]\text{Given:}\qquad \qquad \qquad \dfrac{2\sin (\pi -C)\cdot \cos (A-B)+\sin 2C}{2\sin A\cdot \sin B\cdot \sin C}\\\\\\.\qquad \qquad \qquad \qquad =\dfrac{2\sin C\cdot \cos (A-B)+\sin 2C}{2\sin A\cdot \sin B\cdot \sin C}[/tex]
[tex]\text{Double Angle:}\qquad \qquad \dfrac{2\sin C\cdot \cos (A-B)+2\sin C\cdot \cos C}{2\sin A\cdot \sin B\cdot \sin C}\\\\\\.\qquad \qquad \qquad \qquad =\dfrac{2\sin C(\cos (A-B)+\cos C)}{2\sin A\cdot \sin B\cdot \sin C}[/tex]
[tex]\text{Sum to Product:}\qquad \dfrac{2\sin C(2\cos (\frac{A-B+C}{2})\cdot \cos (\frac{A-B-C}{2})}{2\sin A\cdot \sin B\cdot \sin C}\\\\\\.\qquad \qquad \qquad \qquad =\dfrac{4\sin C\cdot \cos (\frac{A+C}{2}-\frac{B}{2})\codt \cos (\frac{A}{2}-\frac{B+C}{2})}{2\sin A\cdot \sin B\cdot \sin C}[/tex]
[tex]\text{Given:}\qquad \qquad \dfrac{4\sin C(\frac{\pi-B}{2}-\frac{B}{2})\cdot \cos (\frac{A}{2}-\frac{\pi -A}{2})}{2\sin A\cdot \sin B\cdot \sin C}\\\\\\.\qquad \qquad \qquad =\dfrac{4\sin C(\frac{\pi}{2}-B)\cdot \cos (\frac{\pi}{2}-A)}{2\sin A\cdot \sin B\cdot \sin C}[/tex]
[tex]\text{Cofunction:}\qquad \qquad \dfrac{4\sin C\cdot \sin B\sin A}{2\sin A\cdot \sin B\cdot \sin C}\\\\\\.\qquad \qquad \qquad \qquad =2[/tex]
LHS = RHS: 2 = 2 [tex]\checkmark[/tex]
47 kg of potatoes cost $517. How many kilograms of
potatoes can you get with $154 ?
Step-by-step explanation:
47kg of potatoes is $517
That means 1kg of potatoes is 517/47 = $11.
$154 / $11 = 14.
Hence with $154, you can get 14 kilograms of potatoes.
What is the definition for point
Answer:
"In modern mathematics, a point refers usually to an element of some set called a space. More specifically, in Euclidean geometry, a point is a primitive notion upon which the geometry is built, meaning that a point cannot be defined in terms of previously defined objects"
hope that helped lol
How do you simplify Radicals?
√180v^4
Here are the steps required for Simplifying Radicals:
Step 1: Find the prime factorization of the number inside the radical. Start by dividing the number by the first prime number 2 and continue dividing by 2 until you get a decimal or remainder. Then divide by 3, 5, 7, etc. until the only numbers left are prime numbers. Also factor any variables inside the radical.
Step 2: Determine the index of the radical. The index tells you how many of a kind you need to put together to be able to move that number or variable from inside the radical to outside the radical. For example, if the index is 2 (a square root), then you need two of a kind to move from inside the radical to outside the radical. If the index is 3 (a cube root), then you need three of a kind to move from inside the radical to outside the radical.
Step 3: Move each group of numbers or variables from inside the radical to outside the radical. If there are nor enough numbers or variables to make a group of two, three, or whatever is needed, then leave those numbers or variables inside the radical. Notice that each group of numbers or variables gets written once when they move outside the radical because they are now one group.
Step 4: Simplify the expressions both inside and outside the radical by multiplying. Multiply all numbers and variables inside the radical together. Multiply all numbers and variables outside the radical together.
Shorter version:
Step 1: Find the prime factorization of the number inside the radical.
Step 2: Determine the index of the radical. In this case, the index is two because it is a square root, which means we need two of a kind.
Step 3: Move each group of numbers or variables from inside the radical to outside the radical. In this case, the pair of 2’s and 3’s moved outside the radical.
Step 4: Simplify the expressions both inside and outside the radical by multiplying.
Measuring Segmants.
Answer:
CD = 3, FD = 9
Not congruent
Step-by-step explanation:
Its a number line. count the dots and you get the answer
A lawyer has an annual income of $142,500. The income tax she has to pay is 15%. What is the amount of income tax in dollars and cents that the lawyer has to pay? PLZ help
Answer:
Im mad that you didnt helped me >:(
What square unit is parallelogram A
What happens to a point when it is reflected over the y-axis?
The coordinates stay the same.
The x-coordinate changes.
The y-coordinate changes.
Both coordinates change.
Answer:
the x-coordinates changes.
Step-by-step explanation:
i just done that question..
When a point is reflected over the y-axis then x-coordinate changes. so the correct option is B.
What is a reflection?A reflection can be defined as a type of transformation which moves every point of the object by producing a flipped but mirror image of the geometric figure.
When a graph is reflected along an axis, say x axis, then that leads the graph to go just in opposite side of the axis as if we're seeing it in a mirror.
If study it more, we will find that its symmetric, thus each point is equidistant from the axis of reflection as that of the image of that point.
Thus, if reflecting a point (x,y) along x axis, then its x abscissa will stay same but y ordinates will negate. Thus (x,y) turns to (x, -y)
Similarly, if reflecting a point (x,y) along y axis, the resultant image of the point will be (-x,y)
The correct option is B; the x-coordinate changes.
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Emma drinks 2/3 cups of water for every mile she hikes. Her water bottle holds 4 cups of water. How many miles can she hike before her water runs out?
Given that:
Emma drinks 2/3 cups of water for every mile she hikes.
Capacity of water bottle = 4 cups
To find:
The number of miles she can hike before her water runs out.
Solution:
According to the given information,
[tex]1\text{ mile}=\dfrac{2}{3}\text{ cup}[/tex]
Multiply both sides by 3.
[tex]3\text{ miles}=2\text{ cups}[/tex]
Divide both sides by 2.
[tex]\dfrac{3}{2}\text{ miles}=1\text{ cup}[/tex]
It means, she need 1 cup water for every 3/2 miles.
Multiply both sides by 4.
[tex]\dfrac{3}{2}\times 4\text{ miles}=1\times 4\text{ cups}[/tex]
[tex]6\text{ miles}=4 \text{ cups}[/tex]
Therefore, she can hike 6 miles before her water runs out.
Find the slope of the line that passes through
the points (-1,-4) and (1, 2)
O 1/3
03
03
O -1/3
The line's slope through the specified points is 3.
What is Slope?A line's steepness and direction are measured by the line's slope. Without actually using a compass, determining the slope of lines in a coordinate plane can assist in forecasting whether the lines are parallel, perpendicular, or none at all.
As per the given data:
Points are (-1,-4) and (1, 2)
slope of a line joining two points:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{2 - (-4)}{1 - (-1)}[/tex]
[tex]m = \frac{6}{2}[/tex]
m = 3
The slope of the line that passes through the given points is 3.
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Which number(s) below belong to the solution set of the equation? Check all
that apply.
14x = 112
OA. 8
O B. 112
O C. -6
D. 16
E. 22
F. 28
PREVIOUS
Answer: A
Step-by-step explanation: A because if we do 14X8 that equals 112.
What is 4 5/6 as a decimal ? - show work plz:(
Turn the fraction into a improper fraction.
4 5/6 -> 29/6
Divide both numbers.
29 / 6 = 4.833...
Best of Luck!
Answer:
this is my question
Step-by-step explanation:
Which equation can be used to determine the number of passenger stops, p, Mr. Martin had on Tuesday? 14 = 0.5p + 12 14 = 12p + 0.5 p = 0.5(14) + 12 p = 12(14) + 0.5
Answer:
14=0.5p+12
Step-by-step explanation:
i just did it lol
Answer:
a
Step-by-step explanation:
WHAT IS THE LCM OF 10, 15, AND 20?
Answer: LCM of 5 ,10, 15, 20 is 60
Justin weighs 15 pounds less than Greg weighs. Half of Greg's weight is 75 pounds less than Justin's weight. How much does each of them weigh?
Answer:
justin = 135 & greg = 150
Step-by-step explanation:
equations:
(justin is 15lbs under greg) j-15=g
(find gregs full weight by doubling bc the problem gave you half) 75*2=150
(plug in gregs wieght to find justins weight) j-15=150 -> j=135
The answer to the equation |8x−5|=|11−8x|.
Answer:
x=1
Step-by-step explanation:
which equation has no solution? Please I need this answer A} |4x-2|=-6 B} |-2-x|=9 C} |3x+6|=6 D} |-2x+8|=0
Answer:
A|4x-2|=-6
Step-by-step explanation:
A. The absolute value of an equation cannot equal a negative number.
Answer:
A
Step-by-step explanation:
what is the correct answer for this equation: -7(6+8v)=6-8v
Let's solve your equation step-by-step
-7(6+8v)=6-8v
Step 1 :Simplify both sides of the equation
-7(6+8v)=6-8v
(-7)(6)+(-7)(8v) =6+-8v(distribute)
-42+-56v=6+-8v
-56v-42=-8v+6
Step 2 : Add 8v to both sides
-56v-42+8v=-8v+6+8v
-48v-42=6
Step 3: Add 42 to both sides
-48v-42+42=6+42
-48v=48
Step 4: Divide both sides by -48
-48v/-48 =48/-48
Answer: V=-1
.
3.9x + 1.4 = 17 what is the steps
Answer:
[tex]x=4[/tex]
Step-by-step explanation:
[tex]3.9x + 1.4 = 17[/tex]
Having a decimal is not very nice to deal with, so we multiply all sides by 10 to get rid of the decimals.
[tex]3.9x*10+1.4*10=17*10[/tex]
[tex]39x+14=170[/tex]
Subtract 14 from both sides:
[tex]39x+14-14=170-14[/tex]
[tex]39x=156[/tex]
Divide both sides by 39:
[tex]\frac{39x}{39}=\frac{156}{39}[/tex]
[tex]x=4[/tex]
The midpoint of the points (5, 5) and (-1, 3) is:
(2.4)
(4,8)
(5, 1)
(3, 4)
Answer:
Step-by-step explanation:
(5 - 1)/2= 4/2 = 2
(5+3)/2= 8/2= 4
(2,4)
helppp I am posting this one again... sorry!
Answer:
120 degrees
Step-by-step explanation:
360/3=120
