Answer: [tex]3\times \dfrac{P}{3}=P[/tex]
Step-by-step explanation:
Given
The perimeter of one equilateral triangle is P
The lengths of the equilateral triangle are equal
Suppose x is the length of each side
[tex]\therefore 3\times x=P\\\\\Rightarrow x=\dfrac{P}{3}[/tex]
i.e.
[tex]\Rightarrow 3\times \dfrac{P}{3}=P[/tex]
Consider the equation:
X^2-6 = 2 – 18x
1) Rewrite the equation by completing the square
2) What are the solutions to the equation?
The equation should be rewritten by completing the square as x² + 18x + (18/2)² = 8 + (18/2)².
The solutions to the equation is x = -9 + √89 or x = -9 - √89.
What is a quadratic equation?In Mathematics and Geometry, the standard form of a quadratic equation is represented by the following equation;
ax² + bx + c = 0
Next, we would solve the given quadratic equation by using the completing the square method;
x² - 6 = 2 - 18x
x² + 18x = 8
In order to complete the square, we would have to add (half the coefficient of the x-term)² to both sides of the quadratic equation as follows:
x² + 18x + (18/2)² = 8 + (18/2)²
x² + 18x + 81 = 8 + 81
Part 2.
x² + 18x + 81 = 89
x² + 9x + 9x + 81 = 89
x(x + 9) + 9(x + 9) = 89
(x + 9)(x + 9) = 89
x = -9 + √89 or x = -9 - √89.
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PLEASE ANSWER PLEASE! I
Answer:
4.45454545455
=4.45
Step-by-step explanation:
so yeah your right just put a bar under 45 like this,,,,
4.45
Is 0.35 grater than 300 mL
Answer:
yes
Step-by-step explanation:
yes
Complete the missing parts of the table for the following function. y=7x
Answers: 49, 1, 49
Those values go in the blanks from left to right
=====================================================
Explanation:
The rule we use is x^(-k) = 1/(x^k)
That means if we're evaluating something like 7^(-1), then it's the same as 1/(7^1) = 1/7 which explains how x = -1 leads to y = 1/7.
Similarly, 7^(-2) = 1/(7^2) = 1/49 is the y value when x = -2. So you'll type 49 into the first box to fill in that missing denominator.
Raising any nonzero value to the zeroth power leads to 1. That rule is x^0 = 1 where x can be anything you want but it can't be zero. Therefore 7^0 = 1 goes in the second box.
Lastly, 7^2 = 7*7 = 49 will go in the third box.
a regular sheet of letter (printing) paper measrues 8.5 inches by 11 inches. you want to cut out squares from each corner that it may be folded up to produce an open - top box. What are the dimensions of the square cut outs that will result in a box of maximum volume
Answer:
The dimensions of the square, that will result in a box of maximum volume is a square with side length of approximately 1.585 inches
Step-by-step explanation:
The given dimension of the steel sheet are;
The width = 8.5 inches
The length = 11 inches
Let 'x' represent the side length of the squares cut out, we have;
The length of the box formed, l = 11 - 2·x
The width of the box formed, w = 8.5 - 2·x
The height of the box, h = x
The volume of the box, V = (11 - 2·x) × (8.5 - 2·x) × (x) = 4·x³ - 39·x² + 93.5·x
The maximum or minimum volume is found from dV/dx = 0 at max. or min.
dV/dx = d(4·x³ - 39·x² + 93.5·x)/dx = 12·x² - 78·x + 93.5 = 0
Which gives;
x = (78 ± √((-78)² - 4×12×93.5))/(2 ×12)
x = 4.915 or 1.585
When x = 4.915, V = 4 × 4.915³ - 39 × 4.915² + 93.5 × 4.915 = -7.65
When x = 1.585, V = 4 × 1.585³ - 39 × 1.585² + 93.5 × 1.585 = 66.15
Therefore, the local maximum occurs at x ≈ 1.585
Therefore, the dimensions of the square, 'x' that will result in a box of maximum volume is x ≈ 1.585 inches.
what is the meaning of equations
Step-by-step explanation:
What is an equation? In algebra, an equation can be defined as a mathematical statement consisting of an equal symbol between two algebraic expressions that have the same value. The most basic and common algebraic equations in math consist of one or more variables.
What is the slope of the line that passes through the points (-1, 2) and (-4, 3)?
Answer:
-0.5
Step-by-step explanation:
(3-2)=1
(-4-1)=-5
1÷(-5)= -0.5
I really DONT know what’s function
Answer:
its basically the relationship between sets of numbers. the anwser is D if the line on the graph is curved it is a function and if the number repeat on the x value it is a function.
-by-step explanation:
HEEEEEEEEELP!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Look at the image.
Step-by-step explanation:
(36 ÷ 4) - (36 ÷ 9)
9 - 4
5
(8 × 3) - 12 = 12
24 - 12
12
A regular polygon is a polygon with blank sides and angles
The equation y = (-16t – 2)(t-1) represents the height in feet of a beach ball thrown by a child as a function of time, `t`, in seconds.
from What height is the beach ball thrown? explain or show your reasoning
2 ft
Step-by-step explanation:
The height from which the beach ball was thrown happens when t = 0. So setting t = 0 to get y, we get
y = [-16(0) - 2](0 - 1)
= (-2)(-1)
= 2 ft
Therefore, the ball was thrown from a height of 2 ft.
help pls i can give brainliest?
Identify the solution to the system of equations.
Look at the two right rectangular prisms.
1 ft
Ift
1 ft
2 ft
2.5 ft
What is the volume of solid in cube feet
Answer:
I cannot tell you the answer because there isn't adequate information.
But to calculate the volume of a rectangular prism, simply multiple the length width, and height (LWH)
At a police checkpoint for drunk drivers, some cars are stopped at random; many others are not stopped. The cars that are stopped may be considered a _____ of all the cars that pass by the checkpoint.
Answer:
sample
or spot check
Step-by-step explanation:
there are quite a number of different terms that can be used depending on the specific scientific field you are working in.
but "sample" should be the most common one for a random selection of a subset of the whole set.
Sam saves $500 at a rate of 4%. What is the total amount of money she has after 20 years?
Answer:
$10,400
Step-by-step explanation:
Simplify 4^3(3^2+11)(7^4-7^4)(10^10) show work
a 420$ dressed is 20% off, how much is the sales price?
Answer:
$336
Step-by-step explanation:
420 x 0.2 = 84
420 - 84 = 336
Answer:
the answer is going to be $336
1.) The check number on a check:
A.) identifies the bank and is located at the bottom left corner of the check.
B.) identifies the bank and is located at the top right corner of the check.
C.) identifies the transaction and is located at the bottom left corner of the check.
D.) identifies the transaction and is located at the top right corner of the check.
E.) None of these choices are correct.
Answer:
D) Identifies the transaction and is located at the top right corner of the check
Step-by-step explanation:
The check number on a check is the number located at the top right corner of the check, and it can also be found at the bottom of the check, located in lower right corner after the routing number and the account number
The check number aids in the tracking and identifying bank transactions such as to identify checks that the bank has processed and to know outstanding checks that are yet to be processed.
The check number also aids in balancing of the checkbook.
Therefore, the check number on a check identifies the transactions and is located at the top right corner of the check.
I 1) James ran 1.8 miles, Kyle ran 1 miles, and Frank ran 1.85 miles. Put the boys in order from the
shortest distance run to the longest distance run.
2
6
5
1 2) Write an algebraic expression for the phrase "19 less than x squared."
4
3
2
-2
3) When Michael woke up in the morning, the temperature was - 3. F. Later that day
the temperature was 10' F, so Michael said that the temperature had gone up
7 degrees. Is he correct? Explain why or why not.
--3
Answer:
lkjhgvcghjklm, bvhgyiuoklmnbgjhjk;.m, nb
Step-by-step explanation:
Which polynomial represents (3x2 + x - 4)(2x - 5)?
A.6x3 + 13x2 + 3x - 20
B.6x3 - 13x2 - 13x + 20
C.6x3 + 13x2 + 3x + 20
D6x3 - 13x2 - 13x - 20
The required value of the given expression is 6x3 - 13x2 - 13x + 20. Option B is correct.
What is a polynomial function?A polynomial function is a function that applies only integer dominions or only positive integer powers of a value in an equation such as the monomial, binomial and trinomial, etc. ax+b is a polynomial.
here,
= (3x² + x - 4)(2x - 5)
= [6x³-13x² - 13z + 20]
Thus, the required value of the given expression is 6x3 - 13x2 - 13x + 20. Option B is correct.
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Use the distance formula to find the distance to the nearest tenth, from R17, -2) to W(-2, 3).
Answer:
17.7
Step-by-step explanation:
I'm assuming you meant R(17, -2) to W(-2, 3). Here the x-coordinate changes by 17 - (-2), or 19, and the y-coordinate by 5. Think of these as the legs of a right triangle. The distance between these points is the length of the hypotenuse of this triangle: d = √(5^2 + 17^2)
or √314, which, to the nearest tenth is 17.7.
What percentage would my grade be if I got a 50% on a project that is worth 20% of my grade and my grade is 87%/B+.
How much would my grade go down?
PLEASE HELP ME
Answer:
you got 21.5/50 on final grade
and aslo follow me for more information
Type the expression that results from the following series
of steps:
Start with x and multiply by itself.
Answer: x^2 (the ^ represents that the next number is an exponent)
Step-by-step explanation:
Any number squared (to the power of 2) is just itself multiplied by itself. Remember, multiplication is repeated addition and exponents are repeated multiplication.
what is the unit rate of 2250 pencils in 18 boxes
Answer:
184
Step-by-step explanation:
i did it this on a test a while back
Answer: 125 Pencils per Box
Step-by-step explanation:
This is a fraction equal to
2250 Pencils ÷ 18 Boxes
We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 18
2250 Pencils ÷ 18
18 Boxes ÷ 18
=
125 Pencils
1 Box
=
125 Pencils
Box
= 125 Pencils per Box
PLEASE HELP DUE TODAYY
Answer:
y <= 0
Step-by-step explanation:
it's shaded when the value of y is 0 or below 0 (the vertical axis)
Pls help meh!!!!
Which regression line properly describes the data relationship in the scatterplot?
Answer:
1
Step-by-step explanation:
depends if you have a table , to pick the right one always choose a one that pass more through and between the points and the one that is straight
Determine the exact and approximate circumference of the circle.
Exact: inches?
Approximate: inches?
Answer:
C (circumference) =2×π×r
we've got a 30-60-90 triangle
which means 9=d√3, d=5.19 exact inches
or ≈5.20 inches
d=2r, r=5.20÷2≈2.60 inches
C=2×3.14×2.60≈16.328
Explain how an equation is like a balanced hanger plzzz answer due today
if a, b, c, and d represent positive real numbers, what is the inequality when solved for x?
The inequality equation is x ≥ ( by - c - d ) / a
What is an Inequality Equation?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.
Given data ,
Let the inequality equation be represented as A
Now , the value of A is
by - d ≤ ax + c be equation (1)
On simplifying the equation , we get
Subtracting c on both sides of the equation , we get
by - d - c ≤ ax
And , ax ≥ by - d - c
Divide by a on both sides of the equation , we get
x ≥ ( by - c - d ) / 2
Hence , the inequality is x ≥ ( by - c - d ) / a
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9.
Find the slope of the line.
A. -1/4
B. 4
C. 1/4
D. -4
Answer:
9. A. -1/4
Step-by-step explanation:
Plug the points into the equation y2-y1/x2-x1. In this case, I chose the points (0,-2) and (4,-3). This would make the equation -3--2/4-0. This would be equal to -3+2/4 or -1/4. Therefore, the slope is -1/4.
If this has helped you please mark as brainliest
Answer:
A. -1/4
Step-by-step explanation: