Answer:
Step-by-step explanation:
Remark
You are going to use the Pythagorean Theorem. The trick is to find the length of the leg making up the base of the triangle.
That base is equal to the difference between the two bases.
Solution
The base of the triangle = 2x + 1 - (x + 3) Remove the brackets.
base = 2x + 1 - x - 3
base = x - 2
Now the height of the trapezoid is also the second leg of the triangle. Apply the Pythagorean Theorem.
c^2 = a^2 + b^2
a = x - 2
b = x + 4
c = 2x
4x^2 = (x - 2)^2 + (x + 4)^2 Expand the brackets
4x^2 = x^2 - 4x + 4 + x^2 + 8x + 16 Collect like terms
4x^2 = 2x^2 + 4x + 20 Subtract the right side from the left.
4x^2 - 2x^2 - 4x - 20 = 0
2x^2 - 4x - 20 = 0 Divide by 2
2x^2/2 - 4x/2 - 20/2 = 0
x^2 - 2x - 10 = 0
x = - b +/- sqrt(b^2 - 4*a*c)/ 2a
a = 1
b = - 2
c = - 10
x = (- -2 + / - sqrt((-2)^2 - 4*(1)*(-10) ) / 2
x = (2 + / - sqrt(4 + 40 ))/2 Only the plus root has any meaning.
x = ( 2 + sqrt(44 ) )/2
x = ( 2 + 2*sqrt(11) ) / 2
x = 1 + sqrt(11)
sqrt(11) = 3.3166
x = 1 + 3.3166
x = 4.3166
The local humane society is trying to determine how many racoons there are in a city. They catch and tag 18 raccoons. Later on, they catch 67 raccoons, and 2 of them are tagged. What is the best estimate of the raccoon population? Answer to the closest whole number.
Answer:
83 racoons
Step-by-step explanation:
18+67- 2
you would subtract the two they found with tags
the square of the product of 4 and a number is the sum of the number and 15
Answer:
(4x)^2 = x + 15 or
16x^2 = x + 15
16x^2 - x - 15 = 0
or x =1 and x = -0.9375
Make sure next time that you ask a question..
Step-by-step explanation:
This shouldn't really be answered unless we are sure when the answer is there.
4x is the product of a number and 4
(4x)^2 = 16x^2
this will equal x + 15
16x^2 = x + 15
The question is that the answer? I suspect it is.
16x^2 - x - 15 = 0
This might be the answer. It's not clear.
"""""""""""""""""""""""""""""""""""""''''
Believe it or not, this factors without using the quadratic formula
(16x + 15) ( x - 1) = 0
16x + 15 = 0
x = - 15/16 = - 0.9575
x - 1 = 0
x = 1
these marbles are placed in a bag and two of them are randomly drawn. what is the probability of drawing two blue marbles if the first marble is placed back in the bag before the second draw
In other words, the number 4 goes in the green box.
============================================================
Explanation:
2 yellow + 3 pink + 5 blue = 10 total marbles
We have 5 blue out of 10 total, so 5/10 = 1/2 represents the probability of picking a blue marble.
Picking two marbles in a row is represented by the probability (1/2)*(1/2) = 1/4
The fraction 1/2 stays the same for both selections because we put the first marble back.
A factory puts 2,000 picture frames in each shipment. How many picture frames will the
factory put in 2 shipments?
picture frames
Which set of numbers is arranged in increasing order? A. , , , B. , , , C. , , , D. , , ,
Answer:
its B
Step-by-step explanation:
3.14 then pi (3.14159) then 22 ÷ 7 (3.1428) then square root of 10 (3.16)
Answer:
B
Step-by-step explanation:
pi=3.141592654
square root of 10=3.16227766
3.14=3.14
22/7=3.142857143
whats the inverse of f(x)=x-3/5
Answer:
inverse: f-(x)=x+3/5
Step-by-step explanation:
Set f(x)=x and x=y
x=y-3/5
isolate y by adding 3/5 to both sides
x+3/5=y
this is the inverse :)
Express the graph in slope-intercept form.
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ANSWER:[tex]\sf y = \frac{2}{3} x - 1[/tex]
Looking at the graph you can tell the slope is [tex]\sf{\frac{2}{3}}[/tex] rise, over, run, and the y intercept is -1
[tex]\red{\overline{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }}[/tex]
[tex]\large\boxed{\sf{\red{CarryOnLearning}}}[/tex]
Recipe ingredients remain in a constant ratio no matter how many servings are prepared. Which table shows a possible
ratio table for ingredients X and Y for the given number of servings?
Answer:
Table N 4
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y/x=ky/x=k or y=kxy=kx
Verify the table 4
For x=1, y=2
so
y/x=2/1=2
For x=2, y=4
so
y/x=4/2=2
For x=3, y=6
so
y/x=6/3=2
therefore
The constant of proportionality k is equal to 2 and the equation is equal to
y=2x
The table 4 represent a direct variation, therefore is a possible ratio table for ingredients X and Y
eight less than seven times a number is six find the number
Answer:
2
Step-by-step explanation:
let the number be n , then
7n - 8 = 6 ( add 8 to both sides )
7n = 14 ( divide both sides by 7 )
n = 2
The number is 2
For the function Rx) = 1/x+1 which of these could be a value of F(x) when x is
close to -1
O A. -0.01
OB. 0.01
O c. 1
O D. -10,000
Answer:
D. -10000
Step-by-step explanation:
you really need to copy or type the question better.
I can only assume what you really mean.
I guess, you want to say that F(x) = 1/(x+1)
when the value for x gets close to -1, the whole expression gets close to 1/0, which would bring numbers with larger and larger absolute values, leading to infinity.
you also did not say from what direction we are getting closer to -1.
we could come from -2 and move closer and closer to -1.
in this case (x+1) would always be smaller than 0 (negative sign).
or we could come from +1 and then 0 and move towards -1, in which case (x+1) would airways be bigger than 0 (positive sign).
anyway, when being closer and closer to -1, the absolute value of the resulting functional values will get bigger and bigger.
the only answer option with a larger absolute value is D (-10000).
so, that had to be the solution, and it also means that we are coming from -2 to -1, and the sign is negative.
help pleasee i’ll mark you as the brainliest if you answer less than 10 mins
Answer:
Answer B: 2
Step-by-step explanation:
You can multiply the numbers of the smaller triangle and determine the answer
In a street of 72 dwellings, 5/12 are bungalows. The rest are two-storey houses. Half of the bungalows are detached and 2/7 of the houses are detached. What fraction of the 72 dwellings are detached?
Answer:27/ 72 or 3/8
Step-by-step explanation:
Trust me
Which table graph represents the equation y=2x?
Answer:
From the two graphs, I can see in the picture, I can tell that the left graph represents y=2x because the y-intercept is 0 and the slope is 2 because the line goes up two and over one (2/1) or just 2.
Step-by-step explanation:
Hope this helps
The seventh grade wants to break last year's record of 78 coats collected for the annual clothing drive. They have already collected 13 coats.
Which number line represents the graph of the solution to the inequality that represents the number of coats, c, that the seventh grade must still collect?
Answer:
The last number line or D.
Step-by-step explanation:
To find the remaining coats to be collected, subtract the coats that are collected from the total of coats needed.
So:
78 - 13= 65
They must collect a total of 65 and more to break the last year's record of 78 coats. Number line D, represents the solution of this inequality.
Hope this helps! Have a nice dayy! :)
Solve (x + 9)2 = 25.
Answer:
x=3.5
Step-by-step explanation:
25÷2=12.5
12.5-9=3.5
Answer:
7/5 or 3.5
Step-by-step explanation:
2 (x+9) =25
x+9 = 25/2
x = (25/2) - 9
x = 7/2 in decimal = 3.5
Violet bought 2 yards of fabric. She will use it to make new pillow covers. How many inches of fabric did Violet get?
Answer:
24 inches
Step-by-step explanation:
2 yards to inches :
2 x 12 = 24
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
72 inches
Step-by-step explanation:
1 yard = 3 feet
1 foot = 12 inches
1 yard = 3(12) inches or 36"
∴ 2 yards = 72 inches
find inverse of function in form of ordered pair
Answer:
Great tip
READ THE TEXTBOOK
how u work it
and answer
Answer:
B
Step-by-step explanation:
So if B is the midpoint of AC, AB must be 1/2 of AC.
If D is the midpoint of AB, it must be 1/2 of 1/2 of AC, which is 1/4 of AC.
So AC= 4 DB
can you reduce 18/35 if so what is the answer?
Answer: 0.514285714286 ≈
Step-by-step explanation: 18/35 is already in the simplest form. It can be written as 0.514286 in decimal form
What is the inverse of the function f(x) = one-quarterx – 12?
Answer:
y = 4x - 48
Step-by-step explanation:
y = 1/4 x - 12
x = 1/4 y - 12
4x = y - 48
y = 4x - 48
Answer:
[tex]f^{-1}[/tex] (x) = 4x + 48
Step-by-step explanation:
let y = f(x) and rearrange making x the subject, that is
y = [tex]\frac{1}{4}[/tex] x - 12 ( multiply through bt 4 to clear the fraction )
4y = x - 48 ( add 48 to both sides )
4y + 48 = x
Change t back into terms of x with x = [tex]f^{-1}[/tex] (x)
[tex]f^{-1}[/tex] (x) = 4x + 48
Translate the sentence into an equation,
Three times the sum of a number and 7 equals 2.
Use the variable y for the unknown number.
Answer:
3(y+7)=2
Step-by-step explanation:
In order for the parallelogram to be a rhombus x = ?
The value of the x is 27.
We have given that the diagram of a rhombus
We have to determine the value of the x
What is the angle of the rhombus?The angle is sitting on a right angle because rhombuses have 4 right angles
90 = 4x-18
108 = 4x
x = 27
Therefore the value of the x is 27.
To learn more about the rhombus visit:
https://brainly.com/question/20627264
#SPJ1
Answer: It's 14, not 27.
Step-by-step explanation:
I'll give brainliest to the best answer if you help me with the image down below!
Includes: an explanation please
Answer:
3 Pounds
Step-by-step explanation:
2.82 rounded to the nearest whole number is 3.
If we wanted to round 2.82 to 2, it would have to be 2.49 or less
Math.........
I need
Answer:
She had to had like 20 since (-17-3)= -20 right the question asked how much she had before, she had 20 if not 28, since the mother gave her another twenty but as a result, in the beginning, she had around 28 dollars in order to spend 17 on a book and 3 on a cupcake so she still had 8 dollars, and the 20, well the mother handed her 20.
(I hoped I made sense, and that I helped!:)
What is the probability of landing on a number on the spinner that is less than 3?
1/4
3/8
5/8
1/2
Answer: 1/4
Step-by-step explanation:
Reword the problem. It says what is the probability of landing on 2 or 1. That is 2 possibilities out of 8 so 2/8 = 1/4
(4p _ 2k)(3)
in distributive property
Answer:
12 p - 6k
Step-by-step explanation:
Let us assume that _ is meant to be minus sign.
( 4 p - 2k ) ( 3)
use the distributive property
3 × 4p - 3 × 2k
12 p - 6 k
Find the recursive formula -80, 20, -5
Answer:
[tex]a_{n}[/tex] = - [tex]\frac{1}{4}[/tex] [tex]a_{n-1}[/tex]
Step-by-step explanation:
The recursive formula lets us find a term in the sequence by multiplying the previous term by the common ratio r
Here r = [tex]\frac{20}{-80}[/tex] = [tex]\frac{-5}{20}[/tex] = - [tex]\frac{1}{4}[/tex]
Then recursive formula is
[tex]a_{n}[/tex] = - [tex]\frac{1}{4}[/tex] [tex]a_{n-1}[/tex]
In a race, 23 out of 50 swimmers finished in less than 43 minutes. What percent of swimmers finished that race in less than 43 minutes?
Please help me on this T_T
Answer:
46%
Step-by-step explanation:
x : 100 = 23 : 50
x = (23 * 100)/50 = 46%
For any two integers A and B, A minus b is equal to a plus additive inverse of b is equal to a + Dash
Answer:
For any integer number n, the inverse additive of n is also an integer K such that:
n + K = 0
solving this for K, we get that:
K = -n
Then the inverse additive of n is -n.
Now that we know this let's complete this.
We know that for any two integers A and B, a minus b is equal to a plus the additive inverse of b.
To check this:
a minus b is written as:
a - b
And a plus the additive inverse of b is:
a + (-b)
because -b is the additive inverse of b.
Remember the rule sign:
(+)*(-) = -
Then we can rewrite:
a + (-b) = a - b
Then the statement is true.
"For any two integers a and b, a minus b is equal to a plus additive inverse of b is equal to a + (-b)"
cos 45°×tan 60°/cot 30° find the value