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
inna [77]
3 years ago
14

A rain gutter is made from aluminum sheets that

Mathematics
1 answer:
netineya [11]3 years ago
4 0

Answer:

<h3>                7 cm</h3>

Step-by-step explanation:

For any quadratic function f(x)=ax²+bx+c given in form f(x)=a(x-h)²+k, where:

h=-b/2a  and k=f(h) the point (h, k) is vertex of the function graph.

It means that k is maximum (if a<0) or minimum (if a>0) value of function and x=h is the x which will maximize function.

A(x) = x(28-2x) = 28x - 2x² = - 2x² + 28x ⇒ a = -2 , b = 28

h = -28/[2•(-2)] = 7

You might be interested in
Please help i don't know this (6th grade math)
andrew-mc [135]

Answer:

y=7

Step-by-step explanation:

62y=434

Divide both sides my 62

y=434/62

y=7

5 0
3 years ago
I need help ASAP! Please help!
Veronika [31]

Answer:

3.14

Step-by-step explanation:

Area = \pi x radius squared

Area = 3.14 x 1 (1 x 1 = 1)

Area = 3.14

6 0
3 years ago
Read 2 more answers
Solve the following system of equations for x to the nearest hundredth : y + 2x + 1 = 0; 4y - 4x ^ 2 - 12x = - 7
Sever21 [200]

Answer:

+3.464; -3.464

Step-by-step explanation:

call A = y + 2x + 1 = 0 => y = (1 - 2x)

call B: 4y - 4(x^2) - 12x = -7

=> replace y from A to B =>

  1. 4(1 - 2x) - 4(x^2) - 12x = -7
  2. 4 - 8x - 4(x ^ 2) - 12x = -7
  3. -8x - 4(x ^ 2) - 12x = -7 - 4 = -11
  4. -4(x^2) - (8x - 12x) = -11
  5. -4(x^2) + 4x = -11
  6. -4(x^2) + 4x + 11 = 0

=> get delta Δ = (-4^2) - 4*(-4 * 11) = 192

=> Δ > 0 => got 2 No

=> x1 = \frac{-4 + \sqrt{192} }{2 * -4} = \frac{1 - 2\sqrt{3} }{2} = -1.232

=> x2 = \frac{-4 - \sqrt{192} }{2 * -4}=\frac{1 + 2\sqrt{3} }{2}= 2.232

=> replace x from B into A

=> y1 = (1 - 2x) = (1 - 2 * -1.232) = 3.464

=> y2 = (1 - 2x) = (1 - 2 * 2.232) = - 3.464

7 0
3 years ago
In the below figure angle abc is 69 degree, angle acb is 31 degree so find the angle bdc
olchik [2.2K]

Answer:

\angle BDC=80^{\circ}

Step-by-step explanation:

We are given that

\angle ABC=69^{\circ}

\angle ACB=31^{\circ}

We have to find the angle BDC.

In triangle ABC

Sum of interior angles of triangle=180 degrees

\angle ABC+\angle ACB+\angle BAC=180^{\circ}

69+31+\angle BAC=180

100+\angle BAC=180

\angle BAC=180-100

\angle BAC=80^{\circ}

\angle BAC=\angle BDC=80{\circ}

Angles subtended on the same are ac are equal.

\angle BDC=80^{\circ}

4 0
3 years ago
3. (4 + 5) is how much more than 3•4 + 5 ?
ra1l [238]

(4 + 5) is greater than 3·4 + 5 by 8.

Step-by-step explanation:

  • Step 1: Value of (4 + 5) = 9
  • Step 2: Value of 3·4 + 5 = 12 + 5 = 17 (as per BODMAS rule)
  • Step 3: Find the difference between the two.

⇒ 17 - 9 = 8

3 0
3 years ago
Other questions:
  • By rounding to 1 significant figure work out 54×82​
    13·1 answer
  • Which expression has a value greater than 4 raise to 3?
    6·1 answer
  • Express the number 24 as the product of its prime number
    12·1 answer
  • The perimter of a rectangle is 90 centimeters.the length is 27 centimeters what is the width of the rectangle
    12·1 answer
  • Write an equation that represents the line. Use exact numbers.
    15·2 answers
  • What is the value of a for the following circle in general form?<br> X^2+y^2+ax+by+c=0
    8·2 answers
  • The solution of 4(x + 1) = 4(2 – x)
    11·2 answers
  • 16.
    6·2 answers
  • Kesha went for a drive in her new car. She drove at a speed of 51.2 miles per hour for 2 hours. For how many miles did she drive
    8·2 answers
  • Compare the graph of m(x) = 0.7x² + 4 with the graph of n(x) = x².
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!