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Anna35 [415]
4 years ago
11

Are the following figures similar?

Mathematics
1 answer:
Over [174]4 years ago
6 0
The following figures are similar. They are both the same shape, One is just bigger.
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Use the zero product property to find the solutions to the equation 2x2 + x - 1 = 2
Firdavs [7]

Answer:

C

Step-by-step explanation:

Given

2x² + x - 1 = 2 ( subtract 2 from both sides )

2x² + x - 3 = 0

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 2 × - 3 = - 6 and sum = + 1

The factors are - 2 and + 3

Use these factors to split the x- term

2x² - 2x + 3x - 3 = 0 ( factor the first/second and third/fourth terms )

2x(x - 1) + 3(x - 1) = 0 ← factor out (x - 1) from each term

(x - 1)(2x + 3) = 0

Equate each factor to zero and solve for x

x - 1 = 0 ⇒ x = 1

2x + 3 = 0 ⇒ 2x = - 3 ⇒ x = - \frac{3}{2}

8 0
3 years ago
Beth left school driving toward the lake one hour before tim. tim drove in the opposite direction going 6 mph slower than beth f
m_a_m_a [10]

Beth's speed was 60 mph.

<h3>What is speed?</h3>
  • The speed (commonly referred to as v) of an object in everyday use and kinematics is the magnitude of the change in its position over time or the magnitude of the change in its position per unit of time; it is thus a scalar quantity.
  • The distance traveled by an object in a time interval is divided by the duration of the interval; the instantaneous speed is the limit of the average speed as the duration of the time interval approaches zero.
  • Velocity is not the same as speed.

To find what was Beth's speed:

Beth's data:

  • time = 2 hrs; rate = r mph; distance = r×t = 2r miles

Tim's data:

  • time = 1 hr; rate = r-6 mph; distance = r-6 miles

Equation:

  • distance + distance = 174 miles

So,

  • 2r + r - 6 = 174
  • 3r - 6 = 174
  • 3r = 180
  • r = 60 mph (Beth's rate)
  • r-6 = 54 mph (Tims's rate)

Therefore, Beth's speed was 60 mph.

Know more about speed here:

brainly.com/question/4931057

#SPJ4

3 0
1 year ago
What is the slope of a line that is parallel to the graph of 5x+4y=y?
torisob [31]

Answer:

-5/3

Step-by-step explanation:

7 0
3 years ago
Which property will Sarah use to solve 6x = 42?
Katarina [22]

Answer:

7

Step-by-step explanation:

4 0
3 years ago
What is the perimeter of a square with an area of 81 cm2
tatyana61 [14]

Answer:

36 cm

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
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