Coordinate system Questions and Answers

Which equation is perpendicular to 4x - 2y = 6 and passes through (0, 1) one: y = 2x + 1

What are the center and radius of a circle whose equation, in general form, is x² + y² - 12y + 32 = 0

What is the next term of this sequence? 1, 3, 5, 8, 11, 15, 19, 24....

Convert 102 pounds to kilograms. (Use either 1 lb = 0.454 kg or 1 kg = 2.205 lb) Round your answer to the nearest hundredth. kg

Convert 7 minutes, 35 seconds to seconds. 7 minutes, 35 seconds=_______seconds

A car is driving at 40 kilometers per hour. How far, in meters, does it travel in 4 seconds? meters Give your answer to the nearest meter.

Your car can drive 360 miles on a tank of 23 gallons. How far can it drive on 54 gallons? Round your answer to the nearest mile. How many gallons are needed to drive 1,770 miles? Round your answer to the nearest tenth of a gallon.

How are the two statements given below related to each other? X: If you run for 10 minutes, then you will raise your heart rate Z: If you do not run for 10 minutesthen you will not raise your heart rate. OZ is the retrograde of X. OZ is the converse of X. OZ is the contrapositive of X. OZ is the inverse of X.

What is the next term of this sequence? -5, 5, -6, 6, -7, 7, -8,...

A rectangular field is 15 yards in length and 75 feet in width. What is the area of the field in square feet?________Ft2 What is the area of the field in square yards?______yd2

Amy bought 3 lbs.,5 oz. of turkey cold cuts and 3 lbs., 13 oz. of ham cold cuts. How much did she buy in total?(You should convert any ounces over 15 into pounds) ____pounds ____ounces

Coordinate Geometry:Question 5 Which equation represents the line that passes through the point (-2,5) and is perpendicular to the graph of x-6y=4? O 6x - y = - 17 O x-6y = - 32 O 6x+y=-7 Ox+6y= 28

If possible, use the Law of Detachment to draw a conclusion from the two given statements. If not possible, write not possible. Statement 1: If x = 7, then 7x - 2 =47. Statement 2: x = 7 O not possible Ox=7 07x-2=47 If 7x247, then x = = 7.

Alex checks his pulse for 4 minutes and counts 380 beats. What is his heart rate in beats per minute? beats per minute.

Answer the following. You may need to use a truth table to determine the correct answer. If 78/6-13 then 225/15 = 15

What is the conclusion of the following conditional? A number is divisible by 2 if the number is even. If a number is even, then the number is divisible by 2. The number is even. The sum of the digits of the number is divisible by 2. The number is divisible by 2.

Which statement is a good definition of a rectangle? A rectangle is a quadrilateral with four congruent angles. O A rectangle is a shape with four sides. O A rectangle is a shape with two pairs of parallel sides. A rectangle is a parallelogram with four congruent sides.

Right Triangle Trigonometry:Question Solve for the approximate measure of angle C. Select one: O 51.34 O36.87 O 53.13 A25 B20

Which statement is the converse of the given statement? If you make an insurance claim, then your rates will go up. O If your insurance rates do not go up,then you have not made a claim. O If you make an insurance claim, then your rates will not go up. O If your insurance rates go up, then you have made an insurance claim. O If you do not make an insurance claim, then your rates will not go up.

Which statement is the contrapositive of the given statement? If a person is a banjo player, then the person is a musician. If a person is not a musician, then the person is not a banjo player. If a person is not a banjo player, then the person is a musician. If a person is a musician, then the person is a banjo player. If a person is not a banjo player, then the person is not a musician.

When a conditional and its convers eare true, you can combine them as a true biconditional hypothesis counterexample unconditional

What is the converse and the truth value of the converse of the following conditional? If an angle is a right angle, then its measure is 90 If an angle is not a right angle,then its measure is 90.False If an angle has a measure of 90,then it is a right angle.True If an angle has a measure of 90,then it is a right angle. False If an angle is not a right angle,then its measure is not 90.True

Use the Law of Detachment to draw a conclusion from the two given statements. If two angles are complementary,then the sum of their measures is 90°. ZE and ZF are complementary. O mZE+mZF = 180 O mZE+mZF = 90 O mZE # mZF O ZE is congruent to F.

Use the Law of Detachment to drawa conclusion from the two given statements.I can go to the concert if I can afford to buy a ticket. I can go to the concert. not possible If I can go to the concert, I can afford the ticket. I can afford to buy a ticket. I cannot afford to buy the ticket.

Use the Law of Detachment and the Law of Syllogism to draw a conclusion from the three given statements.If it is Friday night, then there is a football gameIf there is a football game, then Josef is wearing his school colors. It is Friday night. Josef is wearing his school colors. If it is Friday night, then Josef is wearing his school colors. There is a football game. If it is not Friday night, then Josef is not wearing his school colors.

When travelling to Paris, you convert $1,400 to euros. How many euros is this? Round your answer to the nearest hundredth 1,400 U.S. Dollars 1 1 U.S. dollar ≈ 0.896 Euros X î

Cellular phone service is available for $48 per month for 1748 minutes. What is the monthly cost per minute? Round your answer to the nearest tenth of a cent. The cost for the phone service is _______cents per minute.

What is the missing term in this sequence? 0.95, 0.85, 0.90, 0.80, 2, 0.75, 0.80, ...

Jim makes the following conjecture. Other than 1, there are no numbers less than 100 that are both perfect squares and perfect cubes. What is a counterexample that proves his conjecture false?

What is the hypothesis of the givenstatement? If pigs had wings, you could fly. O Pigs have wings. O Pigs do not have wings. O You cannot fly O You can fly.

As Randi started to solve for in the diagram at right, she wrote the equation 72 + x² = (x + 1)². a. Is Randi's equation valid? Explain your thinking. Hint (a): b. To solve her equation, first rewrite (x + 1)2 by multiplying (x + 1)(x + 1). You may want to review the Math Notes box for Lesson 2.2.2. c. Now solve your equation for x. Hint (c): d. What is the perimeter of Randi's triangle? ✔Hint (d): Use the value of x to determine the length of each side of the triangle.

What is the axis of symmetry of the parabola y = 3(x - 1)² + 4?

What is the axis of symmetry of the parabola y = -5x² - 5?

What is the axis of symmetry of the parabola y = 2x²?

Find the vertex of this parabola. y=-2x² + 4x+12 A. (-4, 12) B. (-2, 6) C. (3,6) D. (1, 14)

The center of a circle is located at (3, 8), and the circle has a radius that is 5 units long. What is the general form of the equation for the circle? A x2+y2-6x-16y+48=0 B. x2+y2-6x-16y-25=0 C x2+y2+6x+16y+48=0 D. x2+y2+6x+16y-25=0

12 What is an equation of the line that passes through the point (6,8) and is perpendicular to a line with equation y= 3/2x+5? (1) y - 8=3/2(x-6) (2) y - 8 =-2/3(x-6) (3)y+8=3/2(x+6) (4) y+8= -2/3(x+6)

Select the correct answer from each drop-down menu. ΔABC has A(-3, 6), B(2, 1), and C(9, 5) as its vertices. The length of side AB is units. The length of side BC is units. The length of side AC is units. ∠ABC≈

Circle A and circle B are congruent CD is a chord of both circles. If CD= 16 cm and the radius is 17 cm, how long is AB? 12 cm 30 cm 15 cm 23 cm

2. (8B) A bag contains 10 marbles. 3 of them are blue, 4 of them are black, 2 of them are red, and 1 of them is green. Two marbles are removed from the bag one at a time WITHOUT REPLACEMENT. What is the probability that a person randomly draws out a blue marble first and a red marble second?

Use the Law of Sines or the Law of Cosines to solve each triangle. (DRAW TRIANGLES ON YOUR WORKSHEET - IT WILL HELP!) Round all angle measures to the nearest tenth of a degrees and side lengths to the nearest tenth. A = 50°, b = 15 ft., c = = 30 ft. Given?? Use: Select an answer Triangle a = C = B =

Let A be an upper (lower) triangular matrix. a) Show that A is invertible if and only if the diagonal entries of A are all nonzero. b) Show that if A is invertible, then A¹ is also an upper (lower) triangular matrix.

14. Thad is picking out the gift wrap for a birthday gift he is giving one of his friends. The choices of color for the wrapping paper are orange, blue, yellow, or green. The choices of ribbon are white or purple, and the choices of bows are red, purple, or white. How many different combinations are there available?

Simplity 5x/ x2+3x-4 - x+1/x-1 -x2-4/x2+?x-

Suppose you inherited a house that was purchased in 1950 for $20,000. It is now 2015 and the value of the house has increased by approximately 5% each year (compound annually). What is the house worth now? Round to the nearest dollar. $[? ]

Factor the following polynomial. 4x² - 1 ([?]x + [ ])([ ]X[ ][ ]) Enter the number that belongs in the green box.

Perform the operation and simplify. 3xy³/x³y . y/6x y[?]/[?]x[?]

Find the absolute value. |-2i| [?]

The population of algae in an experiment has been increasing by 40% each day. If there were 20 algae at the beginning of the experiment, predict the number of algae in 7 days. First, complete the equation: Future Amount = 20(1+0.40)7 Solve. Round to the nearest whole number. Future Amount = [? ] algae

h(x)=x²-5 Find h(-7) Simplify your answer.