15pts and brainliest to whoever can answer
(Also EXPLAIN the reasoning you used to find the value of P
Answers
9514 1404 393
Answer:
p = 3x+10
Step-by-step explanation:
The attached diagram pretty much explains it.
The unknown dimension at the top was the subject of a previous problem. It is the difference in length between the two marked horizontal segments:
(2x +15) -(x) = x +15 . . . . . length of unmarked solid horizontal line
Similarly, the length of the unmarked vertical line on the right is the difference between the marked vertical lines:
(2x -5) -(x -5) = x . . . . . length of unmarked solid vertical line
__
The formula for the area of a rectangle is used to find the areas of the left-side and right-side rectangles. Respectively, those areas are ...
left-side area = x(2x -5)
right-side area = x(x +15)
Then the total area enclosed by the solid line is ...
x(2x -5) +x(x +15) = x(2x -5 +x +15) = x(3x +10)
__
The area of the lot extension is the product of its dimensions:
extension area = x·p
We want this to be the same as the area in the solid line, so ...
x·p = x·(3x +10)
Dividing by the coefficient of p (which is x), we have ...
p = 3x +10
Related Questions
Nicholas has decided to buy 1.5 pounds of Sour Patch Kids 1 pound is 3.99 How much will the Sour Patch Kids cost?
Answers
Answer:
Step-by-step explanation:
5.98
Katie worked on her science fair project for 2.5 hours on Tuesday and 1.75 hours on Friday how many hours did she work on the project Tuesday and Friday combined?
Answers
Answer: 4.25 hours
Step-by-step explanation:
From the question, we are informed that Katie worked on her science fair project for 2.5 hours on Tuesday and 1.75 hours on Friday.
The total number of hours she worked on the project Tuesday and Friday combined will be:
= 2.5 hours + 1.75 hours
= 4.25 hours
Answer:
4.25
Step-by-step explanation:
Step-by-step explanation:
From the question, we are informed that Katie worked on her science fair project for 2.5 hours on Tuesday and 1.75 hours on Friday.
The total number of hours she worked on the project Tuesday and Friday combined will be:
= 2.5 hours + 1.75 hours
= 4.25 hours
What is
6 / 2 ( 1 + 2 )
6 divided by 2 ( 1 + 2 )
Answers
Answer: 9
Step-by-step explanation:
Es una operación combinada, cuando hay una operación en un paréntesis significa que se hace primero que todo
Three times a number increased by 8 is no more than the number decreased by 4. Find the number.
Answers
Answer:
(-oo, -6]Step-by-step explanation:
Let the number be x
3x + 8 ≤ x - 43x - x ≤ -4 - 82x ≤ -12x ≤ -6x = (-oo, -6]Solve 2x + 5 = 12
what’s the what is x
Answers
Answer:
x = [tex]\frac{7}{2}[/tex]
Step-by-step explanation:
Given
2x + 5 = 12 ( subtract 5 from both sides )
2x = 7 ( divide both sides by 2 )
x = [tex]\frac{7}{2}[/tex] [ or x = 3.5 ]
The dataset below represents the population densities per square mile of land area in 15 states in the 2010 U.S. Census. What is the interquartile range?
Answers
Answer:
The Interquartile range is 188
Step-by-step explanation:
Missing Data:
1,19,35,43,49,55,63,94,105,110,175,231,239,351,738
Required
Determine the Interquartile range (IQR)
The given data is ordered already.
First, we need to determine the median
For odd number of data
Median = ½(n + 1)th
In this case, n = 15; so
Median = ½(15 + 1)th
Median = ½(16)th
Median = 8th
This implies that the median is at the 8th position.
So, we have:
1,19,35,43,49,55,63 ----> Lower
(94) ---- Median
105,110,175,231,239,351,738 ---- Upper
Next, we determine the median of the lower and upper sets.
These are called lower quartile (Q1) and upper quartile (Q3) respectively
Lower: 1,19,35,43,49,55,63
Number of data, n = 7
Q1 = ½(n + 1)th
Q1 = ½(7 + 1)th
Q1 = ½(8)th
Q1 = 4th position
From the list of data in the lower set,
Q1 = 43
Upper: 105,110,175,231,239,351,738
Number of data, n = 7
Q3 = ½(n + 1)th
Q3 = ½(7 + 1)th
Q3 = ½(8)th
Q3 = 4th position
From the list of data in the upper set,
Q3 = 231
IQR is then calculated as thus:
IQR = Q3 - Q1
IQR = 231 - 43
IQR = 188
Janice is preparing a recipe that calls for 3/4 of a cup of oil per serving. If Janice needs to prepare 2 and 2/3 servings, how many cups of oil will she need?
Answers
Answer:
Three cups of oil will be needed
Step-by-step explanation:
Here, we are told that the recipe calls for a 3/4 of a cup of oil per serving
Thus for 2 2/3
What is needed will be 2 2/3 * 3/4
= 8/2 * 3/4 = 24/8 = 3
Need help ASAP !!!!!!
Answers
3x^2-5x-2
X^2+4x+9
Question 5 (1 point) Most fossils are two million years old. True False
Answers
Answer:
False
Step-by:-step explanation
2 million years
The oldest reliably classified fossils belonging to the genus Homo date back to a little over 2 million years ago. They belong to H. habilis, a type of ancient hominin that scientists classify as the first of our genus, and which may have led to H. erectus, one of our direct ancestors
Answer:
false
Step-by-step explanation:
most fossils are muuchhh older
If a = –2 + 2i and b = -5i, then find the value of the ab^3 in
fully simplified form.
Answers
Answer:
Step-by-step explanation:
Rewrite the equation
Start multiplying
Simplify
The value of ab³ in simplified form is equal to -250(i + 1).
What is an equation?Equations are mathematical expressions that have two algebras on either side of an equal (=) sign. The expressions on the left and right are shown to be equal, demonstrating this relationship. L.H.S. = R.H.S. (left-hand side = right side) is a fundamental simple equation. For an unknown quantity represented by an unknown variable, equations are then solved to determine its value. A statement is not even an equation if there is no "equal to" sign in it.
From the given values in the question,
a = -2 + 2i
b = -5i
ab³ = (-2 + 2i) × (-5 i)³
= (-2 + 2i) (-125 i³)
= (-2 + 2i) (-125 (-i))
= (-2 + 2i) (+125 i)
= 125 i(-2) + 125 i(2i)
= -250 i + 250 i²
= -250 i -250 or,
ab³ = -250 (i+1)
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What is (125x^21y^-3)^-5/3 simplified?
Answers
Answer:
y⁵/132x³⁵
Step-by-step explanation:
hope this is right
Use the number line to help you decide which statement is true.
Answers
Answer:
A
Step-by-step explanation:
because 1/2 = 4/8
and 5/8 is greater than 4/8
The number line is the representation of numbers in real order.
5/8 = 0.625
1/2 = 0.50
5/8 is greater than 1/2.
Option A is the correct answer.
What is a number line?It is the representation of numbers in real order.
The difference between the consecutive numbers in a number line is always positive.
Example: Number line from -4 to 4.
-4__-3__-2__1__0__1__2__3__4
We have,
5/8 > 1/2
5/8 = 1/2
5/8 < 1/2
5/8 = 0.625
1/2 = 0.50
We see that,
0.625 > 0.50
So,
5/8 must be greater than 1/2
i.e
5/8 > 1/2
We can also find the relation between 5/8 and 1/2 in this way.
5/8 = 1/2
Cross multiply.
5 x 2 = 8
10 = 8
10 is greater than 8
So,
5/8 is greater than 1/2
5/8 > 1/2
Thus,
5/8 = 0.625
1/2 = 0.50
5/8 is greater than 1/2.
Option A is the correct answer.
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What theorems can be used to prove the triangles are congruent?
Answers
plz help me solve this
solve It with Pythagoras theorem
u will get 60 points if u ans correct
Answers
Answer:
x = 4√2 or ≈ 5.66
Step-by-step explanation:
AB = √5²-3² = √16 = 4AB=AC ⇒ BC = AB√2 x = 4√2 ≈ 5.66determine if the following lengths make a triangle 6,3,7
Answers
Answer:
Yes
Step-by-step explanation:
The rule is that if a+b>c, then it's a triangle. In this case, 6+3>7, so it's a triangle. The hypotenuse (7) should always be the largest of the sum of the two side lengths.
Answer:
Yes, the lengths will create a triangle.
Step-by-step explanation:
6 + 3 = 9 > 7
3 + 7 = 10 > 6
6 + 7 = 13 > 3
If the combination of any lengths is greater than the remaining length, then the lenghts will create a triangle.
I’ll mark u as brainlist if u get this right!!
Answers
Answer:
A
Step-by-step explanation:
When X is less than -1, positive parabola.
What is a function? Explain briefly
Answers
Answer:
in mathamatics...an algebraic function that can be defined as a root od a polynomial equation
Step-by-step explanation:
Answer:
A function is the difference between the input and the output in a given table. Here is an example:
Input | Output
2 | 4
4 | 6
6 | 8
The function is add 2. Best of Luck!
Last week, Clay had a beginning balance of $60 in his account. He wrote 4 checks for $20 each from his checking account, withdrew another $30, and finally made a deposit of $96.
Part A: Write an expression and your answer to show his final account balance at the end of the week.
Im in 7th Grade btw :/
Part B: Explain in words, what Clay should do to get his account balance to zero?
Answers
Answer:
Last week, Clay had a beginning balance of $60 in his account. He wrote 4 checks for $20 each from his checking account, withdrew another $30, and finally made a deposit of $96.
Part A: Write an expression and your answer to show his final account balance at the end of the week.
This is only ans...Which answer shows 0.05 for in in scientific notation
Answers
if M <1 = 115 degrees what is m <2
Answers
Answer:
M<2= 65
Step-by-step explanation:
The reason it is 65 because 2 angles add up to either 90 or 180 and in this case it would be 180.
You would use angle addition postulate to find the answer so M<1 + M<2 = 180.
Since M<1 is 115 you would substitute it into the formula so 115 + M<2 = 180
Then you would subtract 115 from 180 in which you would get M<2 = 65
Slope-intercept form of the equation of the line that is perpendicular to -2x + 3y = 10 and contains P(10,-10)
Answers
3y = 2x + 10
Y = 2/3x + 10/3
Perpendicular = opposite sign and reciprocal slope
Y = -3/2x + b
-10 = -3/2(10) + b
-10 = -15 + b, b = 5
Equation: y = -3/2x + 5
Consider the sequence of numbers: 3/8, 3/4, 1 1/8, 1 1/2, 1 7/8. . . Which statement is a description of the sequence?
Answers
Answer:
The sequence is recursive and can be represented by the function f(n + 1)= f(n) + 3/8
Step-by-step explanation:
i got it right on the assignment
what is two hundred and forty dived by six
Answers
What is the y-intercept of the graph below?
A. 0,-1)
B. (0,1
C. (0, -0.5)
D. (0,0.5)
Answers
Answer:
There is no gragh.
is the relation a function? explain
Answers
EXPLANATION;
Functions are relations that have only one output for any unique input. To tell whether a graphed relation defines a function, you can use the vertical line test.
All functions are relations, but not all relations are functions. A function is a relation that for each input, there is only one output.
What is the value of x in the equation 4(2x + 12) = 0? (1 point) Group of answer choices −8 −6 6 8
Answers
Answer:
Step-by-step explanation:
4(2x+12)=0 work the () first
8x+48=0 subtract 48 to both sides to get the x by itself
8x=-48 divide by 8
x= -6
Write down in terms of n, an expression for the nth term of the following sequences: a) 1 8 15 22 29 B) 12 16 20 24 28
Answers
A)
Sequence: 1 , 8 , 15 , 22 , 29
Difference : 7
Back one : -6
Expression : 7n-6
B)
Sequence: 12 , 16 , 20 , 24 , 28
Difference : 4
Back one : 8
Expression : 4n+8
A sequence is an ordered list of elements with a specific pattern.
The nth term of the sequence:
A) 1 8 15 22 29 is [tex](n-1)^{th}[/tex] + 7.
B) 12 16 20 24 28 is [tex](n-1)^{th}[/tex] + 4.
What is a sequence?A sequence is an ordered list of elements with a specific pattern.
Example: 2, 5, 8, 11, ... is a sequence where each term is obtained by adding 3 to its previous term.
We have,
a) 1 8 15 22 29
1 + 7 = 8
8 + 7 = 15
15 + 7 = 22
22 + 7 = 29
We see that each term is obtained by adding 7 to the previous term
So, the nth will be in the form:
nth = [tex](n-1)^{th}[/tex] + 7
b) 12 16 20 24 28
12 + 4 = 16
16 + 4 = 20
20 + 4 = 24
2 + 4 = 28
We see that each term is obtained by adding 4 to the previous term.
So, the nth term will be in the form:
nth = [tex](n-1)^{th}[/tex] + 4
Thus the nth term of the sequence:
1 8 15 22 29 is [tex](n-1)^{th}[/tex] + 7.
12 16 20 24 28 is [tex](n-1)^{th}[/tex] + 4.
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What is 3x5 in mathematics
Answers
Answer:
3x5=15
Step-by-step explanation:
If you have three groups of 5 objects, you will have 15 objects in total.
______________________
║ object object ║
║ object ║
║object object ║
║_____________________║
______________________
║ object object ║
║ object ║
║object object ║
║_____________________║
______________________
║ object object ║
║ object ║
║object object ║
║_____________________║
HTH :)
Answer:
3 x 5 = 15
Step-by-step explanation:
If you have a three baskets, and five apples in each then you would just add five three times. I hope that some what made sense. I usually just think of it like that. :)
AB¯¯¯¯¯¯ is rotated 120° clockwise about B. Then AB¯¯¯¯¯¯ is rotated 45° counterclockwise about A. What is the image of A as a composition of transformations?
Answers
Answer:
D (r(45°, A) ⚬ r(–120°, B))(A)
Step-by-step explanation:
Well it's rotated 120° clockwise and clockwise is negative and the other is rotated 45° counterclockwise and anything counterclockwise is positive. Also I got it right on the test.
A laser beam is aimed 25° from horizontal at a mirror 120 m away. The beam bounces off the mirror and continues for an additional 90 m at 20° above horizontal until it hits a target, mirror 2. What is the distance between the origination point and the target?
Answers
Answer:
A. Approximately 85 m
Step-by-step explanation:
edge
The required distance between the origination point and the target point is 85 m.
What are trigonometric equations?These are the equation that contains trigonometric operators such as sin, cos.. etc.. In algebraic operations.
Here,
The distance between the origination point and mirror 1 is 120 m and between mirror 1 and mirror 2 = 90 m
From geometry, the measure of the angle Opposite the distance between the origination point and the target is given as,
= 20 + 25 = 45°
Let,
a = x
b = 90 m
c = 120 m
A = 45°
Following the cosine rule,
a² = b² + c² -2bccosA
a² = 90² + 120² - 2×90×120×cos45
a = √7226.5
a = 85.008
a ≈ 85
Thus, the required distance between the origination point and the target point is 85 m.
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