Answer:
(x+3)² = (x+3)(x+3)
When we distribute polynomials, we have to make sure each term mutliplies to all of the terms in the other polynomial.
x(x+3) + 3(x+3)
x² + 3x + 3x + 9
x² + 6x + 9
Methods such as FOIL (first, outside, inside, last) and creating a table can help you with this.
Step-by-step explanation:
Answer:
x^(2)+6x+9 also x=-3
Step-by-step explanation:
how to know if i have to subtract or add in a point slope form? for example the part where it says (x - 1) how would i know if its (x - 1) or (x + 1) ?????????????
9514 1404 393
Answer:
rules of signs apply
Step-by-step explanation:
The point-slope form of the equation for a line of slope m through point (h, k) is ...
y -k = m(x -h)
If the point coordinates are positive, their values show up in the equation with a minus sign.
Example:
slope 2, point (3, 4)
y -4 = 2(x -3)
__
If a point coordinate is negative, its value shows up in the equation with a plus sign.
Example:
slope 2, point (-3, 4)
y -4 = 2(x -(-3)) . . . . fill in the given value
y -4 = 2(x +3) . . . . . simplify according to sign rules
__
The slope keeps its sign.
Example:
slope -1/2, point (-3, 4)
y -4 = -1/2(x +3) . . . . we only changed the slope from the previous example
Answer:
teehee
Step-by-step explanation:
:)
-7 + 11p = 3p - 47
Please help me figure out how to work it out
Answer:
p = -5
Step-by-step explanation:
11p-3p = 8p
-47+ 7 = -40
8p = -40
-40/8 = -5
Selena is 6 years younger than pual. in 15 years, pual will be 4 times the age Selena is now. what are their present ages?
Answer:
13 & 7.
Hope this helps.
FOR A BRAINLIST PLEASEEEEEEEEEEEE HELP MMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHH
Answer: 4/20, or 1/5
Step-by-step explanation: since there are 4 orange, and 20 total, then if you were to draw an orange it would be 4/20(this is very basic probability)
Answer:
A
Step-by-step explanation:
pretty sure thats it
Use the figure below to answer the question below.
A. If each square represent one square unit, estimate the area of the shaded figure in square units.
B. Estimate percent of the larger square that is shaded.
Answer:
Step-by-step explanation:
first we need to get the side length of a square.
Area of a square A = L²
1 = L²
L = √1
L = 1 unit
The shaded portion is a circle.
Area of a circle = πd²/4
The diameter of the circle = 4L = 4(1) = 4units
Substitute into the formula;
A =πd²/4
A = π(4)²/4
A = 4(3.14)
A = 12.56inits²
B) The area of the whole shape = Length * width
Length = 6
Width = 6 (6 squares)
Area of the shape = 6*66 = 36units²
Percentage of the area shaded = 21.56/36 * 100
Percentage of the area shaded = 2156/36
Percentage of the area shaded = 59.9%
what is the value of expression 3/7 divide by 3/4
A 1/2
B 9/14
C 4/7
D 46/21 i have two mins left please help
Answer:
You're answer is 4/7
Step-by-step explanation:
I hope this helps!
A triangle has squares on its three sides as shown below. What is the value of x? (1
point)
6 cm
xom
8 cm
1) 2 centimeters
2) 6 centimeters
3) 8 centimeters
4) 10 centimeters
Answer:
10 since its the longest part of the triangle ig
Step-by-step explanation:
Answer: 10 centimeters
Step-by-step explanation:
Because it's longer than both the other sides so it has to be 10.
Please help
What is the coefficient in the expression 10x + 8?
Answer:
2(5x+4)
2×5=10
2×4=8
so answer is 2(5x+4)
another triangle congruent question , it’s in the picture thanks :)
Answer:
I think it is either the first or second answer
Step-by-step explanation:
(-1,5) to (4,1). Round to nearest tenth
Answer:
6.40
Hope this helped somehow
What is 5-4 in the quadratic
Answer:
1
Step-by-step explanation:
The point is located in the first quadrant because x and y are both positive. The quadrants are labeled in counter-clockwise order, starting in the upper-right.
x+y+(y-2)=60,1/2(x)(y-2)=120 what is x and y
Answer:
x = 62
y = 31
Step-by-step explanation:
x+(0)+(0-2)=60
x-2=60
x=62
(0)+y+(y-2)=60
y+y=62
y= 31
Let f (x) represent a function. Which description match the given transformations? Drag and drop the answers into the boxes. f( x - 5/3), f (x) - 5/3. ( Only answer if you know how to please and thank you).
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]f(x - \frac{5}{3} ) \\ [/tex]
↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓
[tex]f(x) \: \: is \: \: translated \: \: \frac{5}{3} \: \: units \: \: right \\ [/tex]
_________________________________
_________________________________
[tex]f(x) - \frac{5}{3} \\ [/tex]
↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓
[tex]f(x) \: \: is \: \: translated \: \: \frac{5}{3} \: \: units \: \: down \\ [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
what is the value of x in 1.5=x+0.25
Answer:
x = 1.25
Step-by-step explanation:
1.5 = X + 0.25
1.25 = x you subtract 0.25 from both sides
What is the term used for unscheduled full or partial payment of the principal amount
outstanding on a loan before its due date?
Answer:
This is called a prepayment
if ABC forms a linear pair with CBD, use the Linear Pair Postulate to determine the value of x
The value of x from the figure is 13
The sum of angles on a straight line is 180 degrees.
From the given diagram;
2x + 13x - 15 = 180Simplify
15x - 15 = 180
Add 15 to both sides
15x - 15 + 15 = 180 + 15
15x = 195
x = 195/15
x = 13
Hence the value of x from the figure is 13
Learn more on linear pair here: https://brainly.com/question/8720873
f(x)=x^2+12x+35, solve f(x)>0
Step-by-step explanation:
Solve the eq f(x) =0x^2+5x+7x+35=0
x*x+5x+7x+5*7=0
x(x+5)+7(x+5)=0
(x+7)*(x+5)=0
x=-7 or x=-5
Now solve f(x) >0So the function is positive (>0) when
x<-7 and when x>-5
A square poster has an area measure of 324x^2 + 540x + 225 square units. Determine the side length of the poster.
[tex]\huge\text{$(18x+15)$ units}[/tex]
Given the area, we need to find the side length. Let's start with the area equation for a square, where [tex]s[/tex] is the side length and [tex]A[/tex] is the area.
[tex]s^2=A[/tex]
Substitute in the known value.
[tex]s^2=324x^2+540x+225[/tex]
Now we need to factor the trinomial. The trinomial given for the area is a perfect square trinomial since [tex]324[/tex] ([tex]18^2[/tex]) and [tex]225[/tex] ([tex]15^2[/tex]) are both perfect squares.
We also know that [tex]a^2+2ab+b^2=(a+b)^2[/tex], which we can use to factor.
[tex]s^2=324x^2+540x+225\\s^2=(18x)^2+2(18x)(15)+15^2\\s^2=(18x+15)^2[/tex]
Now, take the square root of both sides to fully isolate [tex]s[/tex].
[tex]\sqrt{s^2}=\sqrt{(18x+15)^2}[/tex]
Keep in mind that the square root of any value squared is the original value.
[tex]s=\boxed{18x+15}[/tex]
Solve the system:
x - y = 5
4x – 5 y =17
Answer:
8,3
Step-by-step explanation:
Helppp plzzzz N+5n=
Find the value of X. Geometry Please Help!!!
Answer:
D.5
Step-by-step explanation:
An angle bisector makes both sides of the angle equal (usually). Set the equation to 6x+4=8x-6. Solve for x by subtracting 6x from both sides so you get 4=2x-6. Add 6 to both sides so the equation is now 2x=10 and divide by 2.
a rectangular sign has a length of 3 and 1/2 ft and width of 1 and 1/8 ft will the area of the sign be greater or less than 3 and 1/2 ft, how do you know? What is the area of the sign?
Answer:
The area is 3.9375 cubic ft, so yes, the area will greater than 3 and 1/2 ft.
Hope this helps:)
Step-by-step explanation:
Length of a rectangular sign :-
[tex] = 3 \frac{1}{2} \: \: m[/tex]
Width of a rectangular sign :-
[tex] = 1 \frac{1}{8} \: \: m[/tex]
We know that :-The formula for finding the area of a rectangle is :-
[tex] =\bold{ length \times breadth}[/tex]
Which means :-The area of the rectangular sign:-
[tex] =3 \frac{1}{2} \times 1 \frac{1}{8} [/tex]
[tex] = \frac{(2 \times 3 )+ 1}{2} \times \frac{(8 \times 1) + 1}{8} [/tex]
[tex] = \frac{6 + 1}{2} \times \frac{8 + 1}{8} [/tex]
[tex] = \frac{7}{2} \times \frac{9}{8} [/tex]
[tex] = \frac{7 \times 9}{2 \times 8} [/tex]
[tex] = \frac{63}{16} [/tex]
[tex] ={3 \frac{15}{6} \: \: }[/tex]
[tex] = 3 \frac{15 \div 3}{6 \div 3} [/tex]
[tex] ={ 3 \frac{5}{2} \: m}[/tex]
Thus, the area of the rectangular sign is:-
[tex] =\bold{ 3 \frac{5}{2} \: m}[/tex]
We can see that :-[tex]\bold{3 \frac{5}{2} \: > 3 \: \frac{1}{2} \: }[/tex]
Which will mean that the area of the rectangular sign is greater than [tex] { 3 \frac{1}{2} \: m}[/tex].
Therefore, the area of the rectangular sign is = [tex] \bold{ 3 \frac{5}{2} \: m}[/tex] and it is greater than [tex] \bold{ 3 \frac{1}{2} \: m}[/tex] .
Susan plans to watch 3 movies each month. Write an equation to represent the total number of movies n that she will watch in m months.
Answer:
3n=m
Step-by-step explanation:
Answer:
3m=n
Step-by-step explanation:
m equals the number of months she watches multiply that by three because three plus three plus three is the same as three times three. and n is the equal because that is our total of movies she is going to watch. so three times the number of months she watched three movies consecutively to equal the total number of movies
What is the slope of the line through the points (2, 8) and (5, 7)?
3
- 1/3
-3
1/3
Answer:
Option B
Step-by-step explanation:
In order to find the answer to this question you need to use the slope formula and solve by subtracting the numerator and the denominator.
[tex]slope=\frac{y^2-y1}{x^2-x^1}[/tex]
[tex]x^1,x^2=(2,5)[/tex]
[tex]y^2,y^1=(8,7)[/tex]
Substitute:
[tex]\frac{8-7}{2-5}[/tex]
Subtract:
[tex]8-7=1[/tex]
[tex]2-5=-3[/tex]
[tex]=\frac{-1}{3}[/tex]
Hope this helps.
A parabolic arch sculpture is on top of a city bank. A model of the arch is y = −0.005x2 + 0.3x where x and y are in feet.
The image is of a rectangle which represents the building of a Bank and its height is 30 feet. On top of it a semi circle is placed whose diameter is equal to the width of the rectangle.
a. What is the distance from the highest point of the arch to the ground?
b. What is the width of the bank?
A. a. 34.5 feet
b. 60 feet
B. a. 4.5 feet
b. 60 feet
C. a. 4.5 feet
b. 30 feet
D. a. 34.5 feet
b. 30 feet
Answer:
A. a. 34.5 feet
b. 60 feet
Step-by-step explanation:
Parabola equation
[tex]y=-0.005x^2+0.3x[/tex]
Differentiating with respect to x we get
[tex]\dfrac{dy}{dx}=-0.01x+0.3[/tex]
Equating with zero
[tex]-0.01x+0.3=0\\\Rightarrow -0.01x=-0.3\\\Rightarrow x=\dfrac{0.3}{0.01}\\\Rightarrow x=30[/tex]
Double derivative of the parabolic equation
[tex]\dfrac{d^2y}{dx^2}=-0.01<0[/tex]
So, [tex]x=30[/tex] is maximum.
[tex]y=-0.005\times 30^2+0.3\times 30\\\Rightarrow y=4.5[/tex]
So, the maximum height of the arch will be 4.5 feet.
From the ground the highest point of the arch will be [tex]30+4.5=34.5\ \text{ft}[/tex]
We are taking the x axis as the width of the bank.
[tex]0=-0.005x^2+0.3x\\\Rightarrow 0.005x^2=0.3x\\\Rightarrow x=\dfrac{0.3}{0.005}\\\Rightarrow x=60[/tex]
So, the width of the bank will be 60 feet.
Shown here is a mathematical step taken when solving an equation. Identify the mathematical reason or property used to simplify from the first step to the second step. 7(A+13). 7A+91
Which triangle has vertices (0,0), (-1,4), and (-4,1)?
Answer:
Triangle N
Step-by-step explanation:
Triangle N has the coordinates (0,0), (-1,4), and (-4,1)
Divide 1,260 by 1.5
Hi
Answer:
840.......Hai
Answer:
1,260÷1.5=840 here is your answer
Describe all numbers x that are at a distance of 1/2 from the
number – 4. Express this using absolute value notation.
Answer:
| x + 4 | = 1/2
Step-by-step explanation:
We want the numbers on the number line that are at a distance of 1/2 from "-4".
We can express such via the absolute value as :
| x - (-4) | = 1/2
| x + 4 | = 1/2
george is 6.25 feet tall needs to know the height of a tree that he is going to cut down. he notices that he casts a 10 foot tall shadow when the tree casts a 28 foot shadow.
Answer:
17.5 ft
Step-by-step explanation:
6.25/10 = x/28
x = 28(6.25/10)
x = 17.5 ft
The tangent or tanθ in a right-angle triangle is the ratio of its perpendicular to its base. The height of the tree is 17.5 feet
What is Tangent (Tanθ)?The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. It is given as,
[tex]\rm Tangent(\theta) = \dfrac{Perpendicular}{Base}[/tex]
where,
θ is the angle,
Perpendicular is the side of the triangle opposite to the angle θ,
The base is the adjacent smaller side of the angle θ.
Given that George casts a 10-foot tall shadow when the tree casts a 28-foot shadow. Also, George's height is 6.25 feet. Therefore, the tan angel can be written as,
tan(θ)= George's height/George's shadow = Tree's height/Tree's shadow
George's height/George's shadow = Tree's height/Tree's shadow
6.25 feet / 10 feet = Tree's height/28 feet
Tree's height = 17.5 feet
Learn more about Tangent (Tanθ):
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