MATH SOLVE

• What is the area of a rectangle with vertices at ​ (−6, 3) ​, ​ (−3, 6) ​ , (1, 2) , and (−2, −1) ?Enter your answer in the box. Do not round any side lengths.What is the area of a triangle with vertices at (0, −2) , ​ (8, −2) ​ , and ​ (9, 1) ​ ?Enter your answer in the box.What is the perimeter of a polygon with vertices at (−2, 1) , ​ (−2, 4) ​, (2, 7) , ​ (6, 4) ​, and (6, 1) ​?Enter your answer in the box. Do not round any side lengths.​What is the perimeter of the rectangle shown on the coordinate plane, to the nearest tenth of a unit?15.3 units20.4 units30.6 units52.0 units

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  8 months ago

• The county fair charges $1.25 per ticket for the rides. Jermaine bought 25 tickets for the rides and spent a total of $43.75 at the fair. Jermaine spent his money only on ride tickets and fair admission. The price of the fair admission is the same for everyone. Use y to represent the total cost and x to represent the number of ride tickets.(a) Define your variables.(b) Write a linear equation that can be used to determine the cost for anyone who only pays for ride tickets and fair admission.(c) Explain your answer to Part b.

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  8 months ago

• One of the zeros of the polynomial function is 2. f(x)=x4−3x3−23x2+75x−50What is the factored form of the function? f(x)=(x−5)(x+5)(x−2)2f(x)=(x−5)(x+5)(x−2)(x−1)f(x)=(x−5)(x+5)(x−2)(x+1)f(x)=(x−5)(x+5)(x−1)2

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• A line passes through the points (2, –2) and (–6, 2). The point (a, –4) is also on the line. What is the value of a? mc023-1.jpg

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• Which statements about doubling an investment are true? Check all that apply.An investment of $5,000 will double in 6 years at an annual compound interest rate of 12%.An investment of $1,000 will double at an annual compound interest rate of 18% in 6 years.An investment of $350 will double in 9 years at a compound interest rate of 8%.An investment of $2,000 will double at a simple interest rate of 5% in 20 years.An investment of $700 will double in 12 years at a simple interest rate of 6%.

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  8 months ago

• caleb and emily are standing 100 yards from each other. caleb looks up at a 45 degree angle to see a hot air balloon. Emily looks yup at a 60 degree angle to see the same hot air ballon. approximate how far is the hot air ballon off the ground?

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• Change each fraction to a decimal. If the division doesn’t end, round your answer to the nearest hundredth. a. 3⁄4 b. 7⁄16 d. 3⁄5 e. 7⁄40 f. 51⁄20

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• You deposit $1,600 in a bank account. Find the balance after 3 years if the account pays 2.4% annual interest compounded quarterly.

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• John Gray bought a basic car for $32,750.00, with options that cost $375.00. There's a 6% sales tax in his state and a combined $50.00 license and registration fee. What was John's total cost

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• Imagine two lines intersect. How can the properties of linear pairs and vertical angles help to determine the angle measures created by the intersecting lines? Explain.

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• if you flip the graph of the exponential function f(x)=2x over the x axis what is the equation of the new function

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• 50 points!!!!Consider the function f(x) = 2/3x - 4.a.) Find the inverse of f(x) and name it g(x). Show and explain your work.b.) Use composition to show that f(x) and g(x) are inverses of each other.c.) Draw the graphs of f(x) and g(x) on the same coordinate plane. Explain what about your graph shows that the functions are inverses of each other.

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• The coordinates of the vertices of △ABC are A(−1, 1) , B(−2, 3) , and C(−5, 1) . The coordinates of the vertices of △A′B′C′ are A′(−1, −4) , B′(−2, −6) , and C′(−5, −4) .Which statement correctly describes the relationship between △ABC and △A′B′C′ ? △ABC is congruent to △A′B′C′ because you can map △ABC to △A′B′C′ using a translation 3 units down followed by a reflection across the x-axis, which is a sequence of rigid motions. △ABC is congruent to △A′B′C′ because you can map △ABC to △A′B′C′ using a translation 5 units down followed by a reflection across the x-axis, which is a sequence of rigid motions. △ABC is not congruent to △A′B′C′ because there is no sequence of rigid motions that maps △ABC to △A′B′C′ . △ABC is congruent to △A′B′C′ because you can map △ABC to △A′B′C′ using a reflection across the x-axis followed by a translation 3 units down, which is a sequence of rigid motions.

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• he coordinates of the vertices of △JKL are J(3, 0) , K(1, −2) , and L(6, −2) . The coordinates of the vertices of △J′K′L′ are J′(−3, 1) , K′(−1, 3) , and L′(−6, 3) .Which statement correctly describes the relationship between △JKL and △J′K′L′ ? △JKL is congruent to △J′K′L′ because you can map △JKL to △J′K′L′ using a translation 1 unit up followed by a reflection across the y-axis, which is a sequence of rigid motions. △JKL is congruent to △J′K′L′ because you can map △JKL to △J′K′L′ using a reflection across the x-axis followed by a reflection across the y-axis, which is a sequence of rigid motions. △JKL is congruent to △J′K′L′ because you can map △JKL to △J′K′L′ using a rotation of 180° about the origin followed by a translation 1 unit up, which is a sequence of rigid motions. △JKL is not congruent to △J′K′L′ because there is no sequence of rigid motions that maps △JKL to △J′K′L′.

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  8 months ago

• There are 30 homes in Neighborhood A. Each year, the number of homes increases by 20%. Just down the road, Neighborhood B has 45 homes. Each year, 3 new homes are built in Neighborhood B.Part A: Write functions to represent the number of homes in Neighborhood A and Neighborhood B throughout the years. (4 points)Part B: How many homes does Neighborhood A have after 5 years? How many does Neighborhood B have after the same number of years? (2 points)Part C: After approximately how many years is the number of homes in Neighborhood A and Neighborhood B the same? Justify your answer mathematically. (4 points)

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• What is the value of the expression?5/6−(1/8÷3/4)Enter your answer, as a fraction in simplest form, in the box

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• What is the solution to the system of equations?2x – y = 7y = 2x + 3(2, 3)(2, 7)no solutioninfinite number of solutions

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• if the discriminant of an equation is zero, which of the following is true of the equation?a. it has one real solutionb. it has two complex solutionsc. it has two real solutionsd. it has one complex solution

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• Initially a pool contains 250 gallons of water. A hose is placed in the pool, and the water is turned on. The hose adds 5.4 gallons of water per minute. Write a linear model that represents the amount of water, V, in the pool as a function of time, t, in minutes.

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• Use properties of equality to simplify each of the following expressions so that you can simplify them in your head. Identify the properties used and describe how you used them.1. 4 • (–3) • 52. (2.25 • 23) • 44. 5 • 12 • (–2)5. 35(26)(0)

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