1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Serga [27]
3 years ago
6

What is the vertex of x^2 -10x + 21

Mathematics
1 answer:
Radda [10]3 years ago
5 0

Answer:

(5, - 4)

Step-by-step explanation:

Given a quadratic in standard form : ax² + bx + c : a ≠ 0

Then the x- coordinate of the vertex is

x_{vertex} = - \frac{b}{2a}

x² - 10x + 21 ← is in standard form

with a = 1, b = - 10, so

x_{vertex} = - \frac{-10}{2} = 5

Substitute x = 5 into the quadratic for the corresponding value of y

y = 5² - 10(5) + 21 = 25 - 50 + 21 = - 4

vertex = (5, - 4)

You might be interested in
What is the answer for I=E/R for E
Elden [556K]

http://lianmath.com/describe-a-serie-of-shifts-that-translates-the-graph-yx-93-4-back-onto-the-graph-of-yx-3/


7 0
3 years ago
Laura is 12 years old witch 6/7 of her brothers age how old is her brother
sweet [91]

Answer:

14

Step-by-step explanation:

12:6=2

12+2=14

so her brother it's 14 years old

3 0
3 years ago
Which of the following is not equivalent
dsp73
90/139 is the only fraction not equivalent to 45/70.

To find if a fractions are equivalent, divide the numerator by the denominator for each fraction.

45/70=0.642857
27/42=0.642857
9/14=0.642857
63/98=0.642857

Notice how all of these get you the same number. However, when you divide 90 by 137, you get 0.64748, which is not the same as the others. Therefore, 90/137 is the fraction that is not equivalent to 45/70.

6 0
3 years ago
Read 2 more answers
Determine the length of the legs in the right triangle below.
Marysya12 [62]

Answer:

x = 14

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

x² + x² = (14\sqrt{2} )²

2x² = 392 ( divide both sides by 2 )

x² = 196 ( take the square root of both sides )

x = \sqrt{196} = 14

Thus the congruent legs are 14 cm

5 0
3 years ago
6 m
dimulka [17.4K]

Answer:

51.63m^3

Step-by-step explanation:

The figure is made up of a rectangle, triangle and a semi circle

Area of the figure = Area of triangle + rectangle + semicircle

Area of the triangle = 1/2 * base * height

Area of the triangle = 1/2 * 3 * 5

Area of the triangle = 15/2

Area of the triangle = 7.5m^3

Area of the rectangle = Length * Width

Area of the rectangle = 6 * 5

Area of the rectangle = 30m^2

Area of the semicircle = πr²/2

Area of the semicircle = π(3)²/2

Area of the semicircle = 3.14(9)/2

Area of the semicircle = 3.14 * 4.5

Area of the semicircle = 14.13m^2

The area = 30 + 14.13+7.5

Area of the figure = 51.63m^3

7 0
3 years ago
Read 2 more answers
Other questions:
  • Line a is parallel to line b, m∠1=2x+44 and m∠ 5=5x+38 Find the value of x.
    8·1 answer
  • A student writes 5y*3 to model the relationship the sum of 5y and 3. explain the error
    10·2 answers
  • What is the degree of the monomial 5x^12
    10·2 answers
  • A study of voting chose 663 registered voters at random shortly after an election. Of these, 72% said they had voted in the elec
    13·1 answer
  • ) Some number was added to 6.6. This sum was then divided by 0.7. Finally, the quotient was
    11·1 answer
  • Find the surface areas of sphere with a radius of 100 ydz
    8·1 answer
  • Which of the ordered pairs in the form (x, y) is a solution of this equation?
    14·1 answer
  • PLEASE HELP ASAP 25 PTS + BRAINLIEST TO RIGHT/BEST ANSWER
    10·1 answer
  • Based on the following calculator output, determine the inter-quartile range of the dataset.
    11·1 answer
  • Which algebraic expression is a polynomial?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!