what is the value x?
If you complete the entire question I'll give you 1000 points!
A = E = 25.02 feet
B = D = 31.11 feet
C = ║(37, 65) -(63, 39)║ = √((-26)² +26²) = √1352 ≈ 36.77 . . . feet
i litterly need just 49 points lol thank man XD
The perimeter of a rectangle is 44 ft. the length is 6 ft longer than the width. find the dimensions. write a system of linear equations and solve the resulting system. let x be the length and y be the width.
which equation are true for x=-2 and x=2 check all that apply
Answer:
A. [tex]x^2-4=0[/tex]
D. [tex]4x^2=16[/tex]
Step-by-step explanation:
To check which of the given equations have solution [tex]x=-2\text{ and }x=2[/tex], we will solve our given equations one by one.
A. [tex]x^2-4=0[/tex]
[tex]x^2-4+4=0+4[/tex]
[tex]x^2=4[/tex]
[tex]\sqrt{x^2}=\pm\sqrt{4}[/tex]
[tex]x=\pm 2[/tex]
[tex]x=-2\text{ or }x=2[/tex]
Therefore, option A is the correct choice.
B. [tex]x^2=-4[/tex]
To solve our given equation, we need to take square root of both sides of equation. Since square root is not defined for negative numbers, therefore, option B is not a correct choice.
C. [tex]3x^2+12=0[/tex]
[tex]3x^2=-12[/tex]
[tex]x^2=-4[/tex]
To solve our given equation, we need to take square root of both sides of equation. Since square root is not defined for negative numbers, therefore, option C is not a correct choice.
D. [tex]4x^2=16[/tex]
[tex]x^2=4[/tex]
[tex]\sqrt{x^2}=\pm\sqrt{4}[/tex]
[tex]x=\pm 2[/tex]
[tex]x=-2\text{ or }x=2[/tex]
Therefore, option D is the correct choice.
E. [tex]2(x-2)^2=0[/tex]
[tex](x-2)^2=0[/tex]
[tex]\sqrt{(x-2)^2}=\sqrt{0}[/tex]
[tex]x-2=0[/tex]
[tex]x=2[/tex]
Therefore, option E is not a correct choice.
Brent conducted a survey in his school regarding whether students ride their bikes to school each day. he surveyed a random sample of 150 students and 40 said they rode their bikes to school each day. there are 450 students who attended school. based on the results of Brents survey, about how many students in the school ride their bikes to school each day
A potato chips manufacturing facility uses 1/6 of a barrel of oil in each batch. The facility used 2/3 of a barrel of oil yesterday. How many batches of potato chips did the facility make? A. 2/3 B. 1/4 C.2 D.4
Answer:
Option D. 4 batches
Step-by-step explanation:
A potato chips manufacturing facility uses 1/6 barrel of oil in each batch and we have to find the batches of potato chips manufactured in 2/3 of a barrel.
We will use unitary method to solve this question.
∵ [tex]\frac{1}{6}[/tex] barrel is required to manufacture batch = 1
∴ 1 barrel is required to manufacture batches = 1 ÷ [tex]\frac{1}{6}[/tex]
∴ [tex]\frac{2}{3}[/tex] barrel is required to manufacture batches = [tex](\frac{1}{\frac{1}{6}})(\frac{2}{3})=(\frac{6}{1})(\frac{2}{3})=6.\frac{2}{3}=4[/tex]
Therefore Option D.4 is the correct option.
In a certain class of students, there are 10 boys from wilmette, 5 girls from kenilworth, 10 girls from wilmette, 7 boys from glencoe, 5 boys from kenilworth and 6 girls from glencoe. if the teacher calls upon a student to answer a question, what is the probability that the student will be from kenilworth?
Evaluate 10x^2y^-1 for x=3 and y=2
Answer:
[tex]10x^{2} y^{-1}[/tex] for x=3 and y=2 is 45.
Step-by-step explanation:
In order to evalue the given expression [tex]10x^{2}y^{-1}[/tex] you have to rewrite it as a fraction, using the property for a negative exponent which says that [tex]y^{-1}[/tex] can be written as [tex]\frac{1}{y}[/tex]
You obtain: [tex]\frac{10x^{2} }{y}[/tex]
Now, you have to replace the given values of x and y in the previous expression:
x=3 and y=2
[tex]\frac{10(3)^{2} }{2}[/tex]
Solving the square:
[tex]\frac{(10)(9)}{2}[/tex]
Solving the multiplication and division:
[tex]\frac{90}{2} = 45[/tex]
The answer is 45
What is the speed of a plane that travels at a rate of 410 mph with a wind of r mph?
Please halp!This is very important to me!
Kirby drew a quadrilateral with four right angles, a side that measures 9 centimeters, and a side that measures 6 centimeters. What is the figure? What is its perimeter
Answer:
Perimeter of the rectangle is 30 cm.
Step-by-step explanation:
Kirby drew a quadrilateral with 4 right angles, a side that measures 9 centimeters and a side that measure 6 centimeters.
Since quadrilateral has all its sides equal to 90° and opposite side equal in size.
Therefore, the quadrilateral is a rectangle.
Perimeter of rectangle = sum of all sides
= [ 9 + 9 ] + [ 6 + 6 ]
= [ 18 ] + [ 12 ]
= 30
Perimeter of the rectangle is 30 cm.
The area of a rectangle is 56 cm.the length is 2 cm more than x and the width is 5 cm less than twice x.solve for x
Answer:
x = 6 cm
Step-by-step explanation:
The area is the product of length (x +2) and width (2x -5). It is 56 cm², so for all dimensions in cm, we can write ...
(x +2)(2x -5) = 56
2x² -x -66 = 0 . . . . . subtract 56 to put into standard form
(x -6)(2x +11) = 0 . . . . factor
Solutions to the equation are values of x that make the factors zero:
x = 6, x = -11/2
The negative solution is extraneous, so the solution of interest is ...
x = 6 cm
Yvonne put $4000 in a savings account. At the end of three years, the account had earned $960 in simple interest. A. How much does she have in her own account at the end of three years? B. What annual simple interest rate did the account grow? Show your work. C. How many more dollars would she have in her account if the interest rate were 1% greater? Show your work.
The area of a rectangular classroom is given by the trinomial a - 4a - 21. The length of the rectangle is a+3. What is the expression for the width of the classroom?
Final answer:
To find the width of the rectangular classroom, we divide the area, expressed as -3a - 21, by the length, expressed as a+3. Simplifying the trinomial by binomial division, we find that the width is represented by the expression (a - 7).
Explanation:
To find the expression for the width of the classroom, we need to divide the area of the rectangle by its length. The area of the rectangular classroom is given by the trinomial a - 4a - 21, which simplifies to -3a - 21. Since we are given that the length of the rectangle is a+3, we divide the area by the length to get the width.
Width = Area / Length
Width = (-3a - 21) / (a + 3)
Now, to divide the trinomial by the binomial, we look for a binomial that when multiplied by the length gives us the area. The factors of -21 that add up to -4 (the coefficient of 'a' in the area expression) are -7 and 3. So, the binomial that we seek can be written as (a - 7) because:
(a+3)(a-7) = a² - 7a + 3a - 21 = a² - 4a - 21
Which matches our area expression. Therefore, the expression for the width of the classroom is (a - 7).
need to know what the right answer is
when you divide a whole number by a fraction with a numerator of 1, explain how you can find the quotient
what's the square root of 89
The manager of a store selling tea plans to mix a more expensive tea that cost $7 per pound with a less expensive tea that cost $4 per pound to create a hundred forty pound blend that will sell for $6.10 per pound. How many pounds of each type of tea are required?
Tracy is cleaning up after tiling a bathroom there are four open boxes of tile Each box has 5/8 of tile remaining how many boxes of tile are left
Tracy has the equivalent of 2 and 1/2 full boxes of tile left after tiling the bathroom, as each of the four boxes has 5/8 of tile remaining.
The question involves a scenario where Tracy is cleaning up after tiling a bathroom and assessing how much tile is remaining. With four open boxes of tile and each box containing 5/8 of tile remaining, we can calculate the total amount of tile left. To do this, we simply multiply the number of boxes by the fraction representing the remaining tiles in each box. This gives us:
4 boxes 5/8 of tile per box4 boxes × 5/8 tile per box = 20/8 (or 2 and 1/2 boxes when simplified).
Therefore, Tracy has the equivalent of 2 and 1/2 full boxes of tile left after tiling the bathroom. The small gaps mentioned in another context are typically recommended to accommodate expansion and contraction of the tiles due to changes in temperature and humidity, which is an important concept in laying tile.
Point A located at (-2,4) is translated down 6 units what are the coordinates of A
A picture contains 2/3 quart of lemonade If an equal amount of lemonade is poured into each of six classes how much lemonade will each class contain
Write an expression that is equivalent to 3x3x3x3x3x3x3 ?!?!?!
The expression 3x3x3x3x3x3x3 is equivalent to 3⁷.
Given that an expression 3x3x3x3x3x3x3, we need to write an equivalent expression to it,
The expression that is equivalent to 3x3x3x3x3x3x3 can be simplified using the exponentiation operation.
In mathematics, when you have a number or variable multiplied by itself multiple times, you can represent it using exponentiation.
In this case, we have the number 3 multiplied by itself 7 times. Using exponentiation, we can rewrite this expression as 3⁷.
The exponent 7 indicates that the base number, which is 3, should be multiplied by itself 7 times. So, 3⁷ means 3 multiplied by itself 7 times.
When we calculate 3⁷, we get the result 2187.
Therefore, the expression 3x3x3x3x3x3x3 is equivalent to 3⁷.
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the product of twice a number and two is the same as the difference of three times the number and 8/3. find the number
What is the difference between sin and cosine
HELP ASAP PLS Solve and check c-4/c-2=c-2/c+2-1/2-c the solution is c = ? How many extraneous solutions are there?
Answer : the solution of c is 14.
Explanation :
Since we have given that
[tex]\frac{c-4}{c-2}=\frac{c-2}{c+2}-\frac{1}{2-c}\\\\\frac{c-4}{c-2}=\frac{c-2}{c+2}+\frac{1}{c-2}\\\\\frac{c-4}{c-2}=\frac{(c-2)^2+c+2}{(c+2)(c-2)}\\\\\frac{c-4}{c-2}=\frac{c^2+4-4c+c+2}{(c+2)(c-2)}\\\\(c-4)(c+2)=c^2+6-3c\\\\c^2-8-2c=c^2+6-3c\\\\-2c+3c=6+8\\\\c=14[/tex]
So, c = 14
So, the solution of c is 14.
There is no extraneous solution as if we put the value of c i.e. 14 in the equation it does not make the equation not defined . so by putting the value of c we get a defined value,
Hence , there is no extraneous solution.
Answer: The solution is C = 14
And there is zero extraneous solutions
Step-by-step explanation: Because I said so :-)
Yan Yan Corp. has a $3,000 par value bond outstanding with a coupon rate of 5 percent paid semiannually and 12 years to maturity. The yield to maturity of the bond is 5.6 percent.
EXPERTS/ACE/GENIUSES HELP PLZ!!:)
A customer bought $329.69 worth of building materials for a home remodeling project. They returned some of the unused materials worth $59.63. Estimate to determine how much the customer spent on building materials by rounding to the nearest $10. Estimate to determine how much the customer spent on building materials by rounding to the nearest $10.
triangle ABC is an abtuse triangle with the abtuse angle at vertex B. Angle A must be : less than 90 greater than 90. congruent to angle B congruent to angle C
Fabian harvests 10 pounds of tomatoes from his garden he needs 2 2/5 pound to make a batch of soup. If he sets aside 2.8 pounds of tomatoes to make spaghetti sauce, how many batches of soup can He make
With 7.2 pounds of tomatoes, Fabian can make 3 batches of soup since each batch requires 2.4 pounds of tomatoes.
Explanation:First, let's understand the total quantity of tomatoes Fabian has to make soup. He harvested a total of 10 pounds and set aside 2.8 pounds for spaghetti sauce. So, he has 7.2 pounds of tomatoes left to make soup. Every batch of soup needs 2 2/5 pounds of tomatoes which is equivalent to 2.4 pounds. To find out how many batches of soup he can make, divide the total weight of tomatoes he has for the soup by the weight each batch needs. Therefore, 7.2 divided by 2.4 gives 3 batches of soup.
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