Apply BPT theorem or Thales theorem
LM^2=KM×MNSo
∆KLM~∆LMNAnd
∆KLM~∆KLNOption A
The area of a rectangle is (x4 4x3 3x2 – 4x – 4), and the length of the rectangle is (x3 5x2 8x 4). If area = length × width, what is the width of the rectangle?.
The width of the rectangle, for which area and length provided in polynomial equation form is,
[tex](x^43x^3+8x^2+4x)[/tex]
What is the area of a rectangle?Area of a rectangle is the product of the length of the rectangle and the width of the rectangle. It can be given as,
[tex]A=a\times b[/tex]
Here, (a)is the length of rectangle and (b) is the width of the rectangle
The area of the given rectangle is,
[tex]A=(x^4 +4x^3 +3x^2 - 4x - 4),[/tex]
The length of the given rectangle is,
[tex]L=x^3+ 5x^2 +8x+ 4).[/tex]
As, the area of a rectangle is the product of the length and the width of the rectangle. Let suppose the width of the rectangle is f(x). Therefore,
[tex](x^4 +4x^3 +3x^2 - 4x - 4)=(x^3+ 5x^2 +8x+ 4)\times f(x)[/tex]
Solve it further as,
[tex]f(x)=(x^4 +4x^3 +3x^2 - 4x - 4)-(x^3+ 5x^2 +8x+ 4) \\f(x)=(x^4 +4x^3 +3x^2 - 4x - 4-x^3+ 5x^2 +8x+ 4[/tex]
Separate the like terms with same power of variable as,
[tex]f(x)=x^4 +4x^3-x^3 +3x^2 + 5x^2- 4x +8x- 4 + 4\\f(x)=x^43x^3+8x^2+4x[/tex]
Hence, the width of the rectangle, for which area and length provided in polynomial equation form is,
[tex](x^43x^3+8x^2+4x)[/tex]
Learn more about the area of rectangle here;
https://brainly.com/question/11202023
33. Jessica locates her garden using a coordinate grid with yards as the units. The two points
(-5, -2) and (-8, -3) represents the two corners of the garden. Approximately how far
apart are the two corners?
O
A 2 yards
B. 3.2 yards
C. 4 yards
D. 10 yards
They are approximately 4 yards. Look at a coordinate grid and locate where (-5, -2) and (-8, -3) are and you will see they are 4 yards apart. The answer would be C.
When is simplified, what is the resulting expression?
Answer:
A. -0.8x + 4.8y + 16
Step-by-step explanation:
Solved using distributive property
Let's find out
[tex]\\ \tt\Rrightarrow 4(0.5x+2.5y-0.7x-1.3y+4)[/tex]
a(b+c)=ab+ac[tex]\\ \tt\Rrightarrow 4(-0.2x+1.2y+4)[/tex]
[tex]\\ \tt\Rrightarrow -0.8x+4.8y+16[/tex]
Option A
Find the equation of the following exponential, using the form a(b)^x
I keep getting this wrong because I don't know what points to use for the equation
Check the picture below.
[tex]f(x)=ab^x \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{we know that}}{x=0\qquad f(x)=-1}\qquad -1=ab^0\implies -1=a(1) \\\\\\ -1=a ~\hfill \underline{f(x)=-1b^x} \\\\\\ \stackrel{\textit{we also know that}}{x=1\qquad f(x)=-4}\qquad -4=-1b^1\implies \cfrac{-4}{-1}=b^1 \\\\\\ 4=b ~\hfill \underline{f(x)=-4^x}[/tex]
determine the equation of f(x)=x²-4 when shifted 2 units to the left
Help me solve this problem
Answer:
The length of the missing leg is six
Step-by-step explanation:
Assuming that this is a right triangle, you can use the Pythagoras theorem
12^2+x^2=sqrt180^2
144+x^2=180
x^2=36
x=6
Therefore, the length of the missing leg is six.
Answer:
Taking the above as a right angled triangle...
Pythagoras' rule can be applied to get the Missing side.
It goes...
Hyp² = Opp² + Adj²
Which translates to Hypotenuse, Opposite and Adjacent respectively.
Hyp = √180
Opp= 12
So we're missing Adj
Making adj the subject.
Adj = √ Hyp² – Opp²
= √[(√180)² – (12)²
= √ [ 180 – 144]
= √36
Adj = 6ft.
49.98 ÷ 17 = ? (show ur work)
Answer:
2.94
Step-by-step explanation:
In the picture below
The theater group sold adult and student tickets for the play. They sold a total of 560 tickets. Each adult ticket was $8 and each student ticket was $3.50. The group took in a total of $3166. How many of each type of ticket was sold for the play?
Answer:
268 adult and 292 student tickets sold
Step-by-step explanation:
a = number adult tickets sold
s = number student tickets sold
a + s = 560
8a + 3.50s = 3166
a = 268 adult tickets
s = 292 student tickets
8 A sponge is found to be growing bacteria. The number of the bacteria cells on the sponge triples every week. There are currently 26 cells. Write an expression that shows the number of cells in six weeks. How many bacteria cells are on the sponge after six weeks?
please help me find the total surface area
Answer:
Area of the figure = 64 cm²
Step-by-step explanation:
To find the total surface area (TSA) of the figure, we must add the areas of the 4 triangles along with the area of the square.
Given,
Altitude of triangle (h) = 6 cmBase of triangle (b) = 4 cmSide of the square (h) = 4 cmBy using these values,
Area of the triangle = ½ bhArea of the triangle = ½ × 6 × 4Area of the triangle = ½ × 24Area of the triangle = 12 cm²Now,
Area of the square = s²Area of the square = 4²Area of the square = 16 cm²So, from this,
Area of the figure = (4 × Area of the triangle) + Area of the square Area of the figure = (4 × 12) + 16Area of the figure = (48) + 16Area of the figure = 64 cm²•°• The TSA of the figure is 64 cm².
_________________________
Hope it helps!
[tex]\mathfrak{Lucazz}[/tex]
Find the missing sides
Use the image below
Answer:
[tex]x =3 \\ \\ y = \frac{3 \sqrt{2} }{2} [/tex]
Step-by-step explanation:
[tex] \tan(45) = \frac{y}{ \frac{3 \sqrt{2} }{2} } \\ \\ 1 = \frac{y}{ \frac{3 \sqrt{2} }{2} } \\ \\ y = \frac{3 \sqrt{2} }{2} [/tex]
[tex] \cos(45) = \frac{ \frac{3 \sqrt{2} }{2} }{x} \\ \\ \frac{1}{ \sqrt{2} } = \frac{ \frac{3 \sqrt{2} }{2} }{x} \\ \\ \\ x = \sqrt{2} \times \frac{3 \sqrt{2} }{2} \\ \\ x = \frac{3(2)}{2} \\ \\ \\ x = 3[/tex]
Find the real zeros of r(z)=4z−z3
Answer:
Step-by-step explanation:
r(z)=z
so the real zero is when z = 0
did you mean 4z^2?
If X is any real number other than 0, then X^0= ------------; 0^0 is not a number.
Answer:
1
Step-by-step explanation:
Anything to the power of 0 is 1
Help please im struggling.
Answer:
D. 2,2
Step-by-step explanation:
The midpoint just means the point in the middle of the line, and if you count inwards from each of the points, you'll find that D is the midpoint.
Answer:
A
Step-by-step explanation:
from the top one (Point A), to the bottom one (Point B) you go down 12 and to the right 8.
PLEASE HELP!! with solution needed!!
Answer:
[tex]x = 15 \\ [/tex]Step-by-step explanation:
[tex] \frac{2x - 12}{3} = \frac{2x}{5} \\ 5(2x - 12) = 3(2x) \\ 10x - 60 = 6x \\ 10x - 6x = 60 \\ 4x = 60 \\ \frac{4x}{4} = \frac{60}{4} \\ x = 15 \\[/tex]
help me with angle sum theorem please what is y
Answer:
y = 140
Step-by-step explanation:
All angles inside the triangle will equal 180
Set your formula up as
180 = x + 120 + 20
180 - 120 - 20 = x
40 = x
y+x will also equal 180, therefore
180 = y + x
180 = y + 40
180 - 40 = y
140 = y
Can you help me with this please? because I am confused
Answer:
Make a line a bit close to -1
Step-by-step explanation:
-2 3/4 can be re-written as -2.75 therefore you have to mark close to the number -1
Please can someone explain and help me I am giving away 14 points the question is in the image
Answer:
The area is 67.36 cm squared
Step-by-step explanation:
The height is 8.982. The base is 15. 8.982 * 15 = 134.73 / 2 = 67.36
A cell phone company conducted a survey to determine if customers were satisfied with their cell phone service. The survey sample consisted of all customers who had contacted the company within the past year and who agreed to participate. Of the 420 customers surveyed, 65% reported that they were not satisfied with their service.
Which statement about this sample is true?
A Exactly 65% of all customers are not satisfied with the cell phone service.
B The sample includes all customers who made complaints to the company within the last year, and therefore is representative of the population. ,
C The sample might not be representative of the population because, in general, satisfied customers have no reason to contact the company.
D No generalizations can be made from this sample because the sample size is too small.
The statement that is true about the given sample is that;
B. The sample includes all customers who made complaints to the company within the last year, and therefore is representative of the population. ,
Sample Statistics Interpretation
We are given;
Sample size; n = 420
Sample proportion; p^ = 65%
Now, from the sample size and proportion, we can say that;
Exactly 65% of the surveyed customers were not satisfied with the cell phone service. Now, this only represents those surveyed and not the entire population. Thus it is not exactly 65% of all customers that are not satisfied with the cell phone service.
Option B is correct because the 420 customers surveyed is a sample from the population of all their customers within the last year.
Read more about sample statistics at; https://brainly.com/question/7301139
Answer:the answer is b
Step-by-step explanation:
If you read the problem you would know
How do I solve this using Substitution??
Answer:
-1
Step-by-step explanation:
so -x-6 and x-4 are both = to y so that means they are both = to each
other so -x-6=x-4 add x to both sides -6=2x-4 add 4 to both sides 2x = -2 simplify by divide by 2 so x=-1
Answer:
Take the second equation and add 4 to both sides, this gives you x=y+4. The plug in y+4 on the first equation, so y=-(y+4)-6, distribute the negative to everything inside the parentheses, and you get y=-y-4-6. Combine like terms and you get y=-y-10, then add y to both sides, you get 2y=-10, divide both sides by 2 and you get y=-5.
Then plug -5 into the second equation and you get -5=x-4, add 4 to both sides and you get -1=x.
If you want to check your answer, just plug in x and y to either of the equations and see if it makes a true statement.
Jake has 3 more than twice the number of marbles that Kylie has. Let m represent the number of marbles Kylie has.
The expression ____represents the number of marbles Jake has.
Answer:
2m + 3
Step-by-step explanation:
Jake has 3 more than twice the number of marbles that Kylie has. Let m represent the number of marbles Kylie has.
3 + twice of Kylie's marbles = twice of Kylie's marbles + 3
The amount of marbles kylie has is represented with m, making it (2 x m) + 3 = 2m + 3.
Consider the set of rational numbers to solve the problem.
What is the inverse of 43 under the operation of addition?
Answer:
-43
Step-by-step explanation:
The additive inverse of 43 is its opposite, -43.
The sum of a number and its additive inverse is the additive identity element:
43 + (-43) = 0
Simplify
21x^6y^4/14x^2y9
Answer:
3x^4/2y^4
Step-by-step explanation:
Just simplify it and you can get the answer
[tex]\orange{\bigstar\underline{\underline {\pmb{\frak{ \purple{Required~Answer}}}}}}[/tex]
[tex] \leadsto \tt \dfrac{21 {x}^{6} {y}^{5} }{14 {x}^{2} {y}^{9} } [/tex]
[tex] \\ \\ [/tex]
[tex] \leadsto \tt \dfrac{21 {x}^{6 - 2} {y}^{5} }{14 {x}^{0} {y}^{9} } [/tex]
[tex] \\ \\ [/tex]
[tex] \leadsto \tt \dfrac{21 {x}^{4} {y}^{5} }{14 {y}^{9} } [/tex]
[tex] \\ \\ [/tex]
[tex] \leadsto \tt \dfrac{21 {x}^{4} {y}^{0} }{14 {y}^{9 - 5} } [/tex]
[tex] \\ \\ [/tex]
[tex] \leadsto \tt \dfrac{21 {x}^{4} }{14 {y}^{4} } [/tex]
[tex] \\ \\ [/tex]
[tex] \leadsto \tt \dfrac{3{x}^{4} }{2 {y}^{4} } [/tex]
i need help really bad im slow
Answer:
Always try to isolate the variable by doing the INVERSE operation of the given.
so x-5=6
So its -5
You add 5 since its the inverse of it.
So add 5 to both sides or (c)
Answer:
C.) Add 5 to both sides.
Step-by-step explanation:
x - 5 = 6
Add five to both sides.
x - 5 = 6
+ 5 + 5
-5 and +5 cancel out. 6 + 5 is 11.
x = 11
Hope this helped!
(P.S: You're not slow! Everyone works at different paces! You're doing awesome!)
And so another math question appears, wooooo,,
Please help me :"D
Answer:
LV = OE =34
Step-by-step explanation:
Due to the rectangle theory,
LV = OE
3x + 10 = 5x-6
-2x = - 16
x = 8
LV = 3(8) +10 = 34
OE= 5(8)-6 = 34
pls i need help with ratios
Answer:
People to tables: 5:1
Tables to people: 1:5
Step-by-step explanation:
Use the function: g(x) = (x + 2)(x - 1)(x - 2) a) Find the zeros of the function. b) Find the y-intercept of the function.
Answer:
The zeros are -2, 1, and 2
Step-by-step explanation:
You have to set each individual equation equal to zero.
ex: (x+2) x+2=0 move the number to the right hand side to get x alone x=-2
as for the y intercept I don't know
Answer:
see explanation
Step-by-step explanation:
g(x) = (x + 2)(x - 1)(x - 2)
To find the zeros let g(x) = 0 , then
(x + 2)(x - 1)(x - 2) = 0
Equate each factor to zero and solve for x
x + 2 = 0 ⇒ x = - 2
x - 1 = 0 ⇒ x = 1
x - 2 = 0 ⇒ x = 2
The zeros are x = - 2, x = 1, x = 2
To find the y- intercept substitute x = 0 into g(x)
g(0) = (0 + 2)(0 - 1)(0 - 2) = 2(- 1)(- 2) = 2 × 2 = 4
The y- intercept is 4 or (0, 4 )
MAFS.5.NBT.1.4
5. Usain Bolt holds the record for the fastest time in
the 100 meter dash. He first broke the record in
2008 when ran the 100 meter dash in 9.683 seconds.
In 2009, he ran the 100 meters in 9.572 seconds.
Tell whether each sentence is True of False.
5a. Rounded to the nearest tenth, O True False
both times are the same.
5b. Rounded to the nearest whole O True False
number, both times are the same.
5c. Usain's time in 2009 was O True False
faster than his time in 2008.
Step-by-step explanation:
5a- rounding to nearest 10th 9.683 = 9.7
rounding to nearest 10th 9.572 = 9.6 both times are not same so false
5b rounding to near est whole no
9.683 and 9.572 become 10. both are same. true.
5c he is faster in 2009 true
Determine the equation of the circle graphed below.
Please help, thanks
Answer:
If you are finding the equation using two points then the answer is
y = −2 x + 1
If this does not help, just ignore honestly.
I really need help with this I don’t have much time
Answer:
The answer is 5 because you will have to subtract 12 from 112 to get 100 and then divide 100 by 20 to get the answer 5.