MATHEMATICS HIGH SCHOOL

Solve the equation x^2-4x-21=0

Answers

Answer 1

Answer:

Answer:

x = 7 and x = -3

Step-by-step explanation:

x^2-4x-21=0

you can factor to get

(x-7)(x+3)=0

then set each equal to 0

x - 7 = 0 and x + 3 = 0

then just solve for x!

x = 7 and x = -3

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Please help me with this! I would appreciate it :)

Answers

1. b. Commutative Property of Addition
Reason: There is no multiplication used

2. a. 60
Reason: 36 + 24 = 60

3. b. 3d + 9
Reason: Simplification and combining like terms :)

4. b. 4,-1
Reason: Coefficients are the numbers in front of variables

5. b. 36m + 9
Reason: Just use distributive property (multiply 9 into both terms inside parenthesis)

6. b. 95.488
Reason: b = 165.288 - 39.7 - 30.1

7. The question is cut off, unanswerable

8. c. 5a, -3a
Reason: Like terms are things you can combine. So technically the answers could be b. and c. but just go with c. because they have variables.

9. b. 16
Reason: just add 4 to both sides to get the "a" by itself

Best of luck to you!

The line segment that connects two nonconsecutive vertices in a polygon is called a

Answers

A line segment joining two adjacent vertices of a polygon is called an edge.

The line segment that connects two nonconsecutive vertices in a polygon is called a Diagonal i guess

the vertices of parallelogram ABCD are located at points A(4,8), B(12,10), C(16,16) and D(8,14). which of the following statements are true? select all that apply.

Answers

Can you show the possible answers please

What conic section does the equation x2 + y2 – 4y – 1 = 0 represent?ellipse

hyperbola

circle

parabola

Answers

The conic section that the above equation represents is a CIRCLE.

Use completing the square for y and put the equation in standard form:
x²+ y² - 4y + [(-4)/2]² - 1 = 0 + [(-4)/2]²
x² + y² - 4y + (-2)² - 1 = 0 + (-2)²
x² + y² - 4y + 4 - 1 = 4
x² + (y - 2)² - 1 = 4
x² + (y - 2)² = 4 + 1
x² + (y -2)² = 5

The radius of the circle is the square root of 5. Its center is found at (0,2)

Simplify the following expression
2x − 6y + 3x2 + 7y − 14x

Answers

2x - 6y + 3x² + 7y - 14y = 3x² + (2x - 14x) + (-6y + 7y) = 3x² - 12x + y

Leah has a 20% off coupon for a sports store. There is a tennis racket that is available at a discount of 10%. The store applies the coupon after the 10% is taken. She buys the racket for $34. Approximately, what was the orginal price of the tennis racket