In the diagram below B is the midpoint of AC if AB equals 2X and BC equals X squared -24 find the value of X and the length of AC
Answer:
x = 6
AC = 24
Step-by-step explanation:
The midpoint divides the segment into two congruent parts.
AB = BC
BC -AB = 0
x^2 -24 -2x = 0
(x -1)^2 = 25 . . . . . . add 25, write as a square
x = 1 +√25 = 6 . . . . only the positive solution is of interest.
AC = 2(AB) = 2(2x) = 4(6) = 24
The value of X is 6, and the length of AC is 24 units.
If B is the midpoint
AB=BCx²-24=2xx²-2x-24=0x²-6x+4x-24=0(x-6)(x+4)=0x=6,-4Distance is positive
x=6AC
2(2x)4x4(6)24add the expression(3x+2)+(2x+5)
Statins are used to keep cholesterol in check and are a top-selling drug in the U.S. The equation: S = 5.1 + 1.5 x estimates the amount of sales ( S ) of statin in billions of dollars x years after 1998.
#1: Evaluate the expression for the given value of the variable. *
x + 7; X = 12
Answer:
19
Step-by-step explanation:
Based on what I understood from your question,
Value of x has been given = 12
So if we substitute or place that value in the given equation x + 7
=> 12 + 7 = 19
Hope I got it right.
Choose the best selection for the
quadrilateral with vertices at the
following points:
(0,0), (3,2), (6,0), (3,-2)
Hint: Start by graphing the points.
Distance Formula: d= V(x2-x1)2 + (y2 - y1)2
A. Rectangle
B. Square
C. Rhombus
D. Trapezoid
The quadrilateral with vertices at the points: (0,0), (3,2), (6,0), (3,-2) is a square
The vertices (or coordinates) of the quadrilateral is given as:
[tex](x,y) = (0,0), (3,2), (6,0), (3,-2)[/tex]
Calculate the distance between subsequent points, using the following distance formula
[tex]d = \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2}[/tex]
So, we have:
[tex]AB = \sqrt{(0 -3)^2 + (0 -2)^2}[/tex]
[tex]AB = \sqrt{13}[/tex]
[tex]BC = \sqrt{(3 -6)^2 + (2 -0)^2}[/tex]
[tex]BC = \sqrt{13}[/tex]
[tex]CD = \sqrt{(6 -3)^2 + (0 --2)^2}[/tex]
[tex]CD = \sqrt{13}[/tex]
[tex]DA = \sqrt{(3 -0)^2 + (-2 -0)^2}[/tex]
[tex]DA = \sqrt{13}[/tex]
Notice that the sides of the quadrilateral are congruent.
Hence, the quadrilateral is a square
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Answer:
it's not a
Step-by-step explanation:
What is the volume of this container?
Answer:
64 in 2 is it the answers im not shure
3. Amy raises $58.75 to participate in a walk-a-thon.
Jeremy raises $23.25 more than Amy. Oscar raises 3
times as much as Jeremy. How much money does
Oscar raise?
Company
Can a right angle be formed by acute angles?
Answer:
Yes, 2 or more acute angles can be in a right angle based on the degree.
Step-by-step explanation:
A right angle is 90 degrees so any acute angle would be less than 90 degrees which means that there can be multiple acute angles based on the degrees. There can be 2 or more acute angles based on degrees that lead up to 90 degrees in total.
Harry spends $7.83 on 3 bags of walnuts. The bags all cost the same amount. What is the cost of each bag?
Answer:
i think the cost of each bag is $2.61
Step-by-step explanation:
suppose the cost of each bag is $x
7.83 = 3x
7.83/3 = x
2.61 = x
so the cost of each bag is $2.61
my mom gave me 5 dollar and I had 6 dollar and my dad gave me 8 dollar how much money I have?/
The answer to the problem need quick
Answer:
1 3/4 + 1 5/12 + 2 1/3=5.5
5.5*10.5=57.75
Hope This Helps!!!
How many complex roots does the polynomial equation below have? x7 - 3x5 + 4x2 - 1 = 0
Answer:
4 complex rootsStep-by-step explanation:
The easiest way is to use a graphing tool and solve it graphically.
We did it with Desmos and it shows 3 real roots, see below.
The polynomial is of degree 7, hence it should have 7 roots.
Since there are 3 real roots, the remaining ones are complex, so there are 4 complex roots
Answer:
4 complex roots
Step-by-step explanation:
what is the slope of the line?
Answer:
-8/3
Step-by-step explanation:
rise/run
rise: -8
run: 3
-8/3
In how many ways can you arrange six trophies on a shelf?
Answer:
720 ways
Step-by-step explanation:
Assuming order doesn't matter, there are [tex]6!=6*5*4*3*2*1=720[/tex] ways to arrange six trophies on a shelf.
40 kg of tomatoes cost $200 how many kilograms of tomato’s can you get with $45
Answer:
9 kg of tomatoes
Step-by-step explanation:
Cost of 40 kg of tomatoes = $200
Cost of 1 kg of tomatoes = 200/40 = $5
For $45, we get x kg of tomatoes,
kg $
1 5
x 45
=> 45*1/5 = x kg (by cross multiplication)
=> 45/5 = x kg
We get 9 kg of tomatoes for $45.
Hope you understood!
Answer:
(9 Kg) You can get 9 kilograms of tomato's with 45$
Step-by-step explanation:
Joy needs 8 feet of fabric for a project she is working on, but the store only sells the fabric in meters. One meter of fabric costs $1. 15. How much will the fabric cost? [1 ft = 0. 305m] $9. 20 $2. 12 $2. 81 $30. 16.
Answer: C = 6.5l
Cost is $6.50 per yard.
Step-by-step explanation:
2l = 13 and 5l = 32.5 After simplifying these we get: L = 6.5. In context, this means that one yard of fabric costs $6.50. As the number of yard of fabric increases, cost increases, so c = 6.5l.
Based on the cost of a single meter of fabric, the cost of the fabric that Joy wants is $2.81
Joy wants 8 feet of fabric. First convert this to meters which would be:
= 8 feet x 0.305 meter per feet
= 2.44 meters
The cost of this fabric would therefore be:
= Cost per meter x Number of meters
= 1.15 x 2.44
= $2.806
= $2.81
In conclusion, the cost of the fabric would be $2.81.
Find out more at https://brainly.com/question/4220997.
At a theater, adult tickets for a play cost $15 each and child tickets cost $10 each. If 300 tickets were sold and the sale of the tickets generated between $3575 and $3500, inclusive, what is a possible number of child tickets that were sold?
please help
Answer:
Answer: 375 adult tickets were sold and 125 children tickets were sold.
what are the possible roots for:
f(x)=x^ 4 +2x^ 3 +8x^ 2 +80x- 128
trust my answer like it
1. When is it best to solve a system of equations using graphing?
2. When is it best to solve a system of equations using substitution?
3. When it is best to solve a system of equations using elimination? When it is
1. You can solve a system of equations using graphs when there are no decimals or fractions in the equations. This can allow you to almost precisely plot a graph, and determine the values of the variables.
2. You can use the substitution method when one (or both) of the equations is already solved for one of the variables.
3. Elimination is best used when the equations are written in the form Ax + B = C, and also when the coefficients are values not equal to 1.
patrick said that the product of any number and 4 is always double the product of that number and 2. Is patrick correct. explain
Patrick is correct, since the two parts of the statement are equal.
From the question,
Patrick said that the product of any number and 4 is always double the product of that number and 2. We are to investigate if Patrick is correct.
First, let the number be x,
From the first part of the statement
The product of any number and 4
That is,
4 × x = 4x
And
The second part of the statement,
double the product of that number and 2
That is,
2(x × 2) = 2(2x)
Now, we will investigate if
4x = 2(2x)
Expand the right hand side of the equation
That is,
4x = 2 × 2x
Then, we get
4x = 4x
Since the two parts of the statement are equal, then Patrick is correct.
Hence, Patrick is correct, since the two parts of the statement are equal.
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30. Ben purchases a fish tank that is shaped like a
cube and will hold 216 cubic inches of water. What
are the dimensions (length, width, and height) of the
fish tank?
Answer:
the answer should have equal sides
Step-by-step explanation:
the answer 36 for the length, width, and height because if a cube has 6 sides each sould have the same amount of cubic inches.
Simplify the expression. Write your answer as a power. 7^5•7^3/7^2
[tex]7^5 \cdot \dfrac{7^3}{7^2}\\\\=7^5 \cdot 7^{3-2}\\\\=7^5 \cdot 7^1 \\\\=7^{5+1}\\\\=7^6[/tex]
Hi! Kindly give me the formula for finding the percentage of profit.
Profit and selling price are given. Thank you in advance!
When the selling price and the cost price of a product is given, the profit can be calculated using the formula, Profit = Selling Price - Cost Price. After this, the profit percentage formula that is used is, Profit percentage = (Profit/Cost Price) × 100.
Step-by-step explanation:
Given:
Profit P and selling price SpFind cost price Cp first:
Cp = Sp - PTo find the percentage profit divide the profit by the cost price and multiply by 100%:
P% = P/(Sp - P)*100%Solve:
3.7x + 1.2 = 5.4x - 6.3
help me plsssssssssssssssssssssssss
when -3 - 2m < 0 => -2m < 3 => m > -3/2
ANSWER: C
Ok done. Thank to me :>
Find the value of x.
6x+3(-3x+4)=13
Answer
Well I’d distribute first
So if simplified you’d get
6x-9x+12=13
-3x+12=13
-3x=1
x= 1/-3
X is - 1/3
The perimeter of an equilateral triangle is 14.4 cm. Find out the length of the side of that triangle in decimal fraction.
Answer:
4.8 cmStep-by-step explanation:
Given,
Perimeter of an equilateral triangle = 14.4 cm
As we know,
Perimeter of an equilateral triangle = 3 × sides (s) = 3s
Therefore,
By the problem,
=> 3s = 14.4 cm
[On dividing both sides with 3][tex] = > \frac{3s}{3} = \frac{14.4}{3} [/tex]
[On Simplification]=> s = 4.8 cm
Hence,
The required side of the given equilateral triangle is 4.8cm(Ans)
Please help me with this problem I will give brainpower to the first person that answers this correctly with an explaination
Hi!
To solve this, we can set up an equation. If L, the length, is 3 less than 2 times W, the width, it would look like this. L = 2w - 3
Now, the perimeter equation is L + L + w + w = 48, so we plug in the L's and get this:
2w - 3 + 2w - 3 + w + w = 48
Now solve, add like terms:
6w - 6 = 48
add 6 to both sides
6w = 54
divide both sides by 6
w = 9
The width is 9, and the length is two times this minus 3, so 2(9) - 3 = 18 - 3 = 15
Therefore your width is 9 and your length is 15
Hope this helps! :D
Write an expression for the total number of fish and plants in all the sets using the expression you found in part A.
The expression for the total number of fish and plants in all the sets is 24x + 18y.
The given parameters:
Number of fish, = 24Number of plants, = 18Let the total number of fish and plants = T
Let the total number of fish in all the sets = 24x
Let the total number of plants in all the sets = 18y
The expression for the total number of fish and plants in all the sets is calculated as follows;
T = 24x + 18y
Thus, the expression for the total number of fish and plants in all the sets is 24x + 18y.
The complete question is below:
Insert images of the plant and the fish in the space provided to arrange the 24 fish and the 18 plants into sets so that each set has the same number of fish and the same number of plants and none are left over. (In each set, the number of plants does not have to be equal to the number of fish.) Write an expression for the total number of fish and plants in each set
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The ratio of cats to dogs seen at CyFair Animal Hospital is 2 to 5. If Dr. Blue, Dr. Ross, and Dr. Lavigne see 40 dogs altogether, how many cats AND dogs did they see in all? Explain your answer.
Please
The number of cats and dogs the doctor saw is 56.
Ratio expresses the relationship between two values. It shows the frequency that one value is contained another value. The sign of ratio is :.
The equation that can be used to determine the total number of dogs that the doctor saw is:
(ratio of dog / total number of dogs and cats) x total number of animals = number of dogs
5/7 x a = 40
Where a is the total number of dogs and cats
In order to determine the value of a, divide both sides of the equation by 7/5.
40 x 7/5 = 56
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