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Valentin [98]
2 years ago
9

Solve the following system of equations. y = 2x + 1 y = x2 – 5x + 7

Mathematics
1 answer:
BlackZzzverrR [31]2 years ago
5 0

The answer is x = 2 and y = 3

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How tall is the flag pole (please give explanation too)
Tpy6a [65]

Answer:

  22 3/4 ft

Step-by-step explanation:

The diagram seems to show a 6 1/2 ft person casting a 9 ft shadow at the same time a flagpole is casting a 31 1/2 ft shadow. You want the height of the flagpole.

<h3>Proportion</h3>

Shadow lengths are presumed proportional to the height of the object making them. This means ...

  h/(31 1/2) = (6 1/2)/9 . . . . . all lengths in feet

Multiplying by 31 1/2, we get ...

  h = (31 1/2)(6 1/2)/9 = (819/4)/9 = 91/4

  h = 22 3/4 . . . . ft

The flagpole is 22 3/4 feet tall.

3 0
1 year ago
1. If B is between A and C, AB = 12 in., and AC = 19 in., then what is BC?
Oksanka [162]

Answer:

BC = 7.

Step-by-step explanation:

subtract 12 inches from 19 and then you get the result for BC.

8 0
3 years ago
The mass of a sheet of metal varies jointly with its area and its thickness. A sheet of metal of area 250cm2 and thickness 1mm h
noname [10]

The Formula of the relation is M = 8AT.

The mass of the metal sheet is 960 g.

The expression below shows the variation between the mass of the sheet (M), Area of the Sheet(A), and thickness (T).

Proportionality:

  • M ∝ AT

Removing the proportionality sign,

  • M = KAT

Where:

  • K = constant of proportionality.

make K the subject of the equation:

  • K = M/KT.................... Equation 1

From the question,

Given:

  • M = 200 g
  • A = 250 cm²
  • T = 1 mm = 0.1 cm

Susbtitute into equation 1

  • K = 200/(250×0.1)
  • K = 8 g/cm³

Formula:

  • M = 8AT................. equation 2

Hence the formula of the relation is M = 8AT

If,

  • A = 400 cm²
  • T = 3 mm = 0.3

Substitute these values into equation 2

  • M = 8(400)(0.3)
  • M = 960 g

Hence,  the mass of the metal sheet is 960 g

Learn more about joint variation here: brainly.com/question/26047253

6 0
2 years ago
I need help with this problem.
liberstina [14]
4050 divided by 3 = 1350
There is 4050 people in an arena and there is 3 sections of seats. How many people are in one section of seats?
6 0
3 years ago
Find g(4x)<br> g(x)=x²-4
7nadin3 [17]

Answer:

g(x) = x² - 4 is already in form of a variable, I.e., x

g(4x) takes another variable, I.e., 4x

Same as before, 4x takes over x:

=> g(4x) = (4x)² - 4

  • <em>(</em><em>ax</em><em>)</em><em>²</em><em> </em><em>=</em><em> </em><em>a</em><em>²</em><em>x</em><em>²</em><em>,</em><em> </em><em>where</em><em> </em><em>a</em><em> </em><em>is</em><em> </em><em>some</em><em> </em><em>arbitrary</em><em> </em><em>constant</em><em>.</em><em> </em>

<h3><u>Answer</u><u>:</u> </h3>

=> g(4x) = 16x² - 4

OR

=> g(4x) = 4{4x² - 1}

3 0
2 years ago
Read 2 more answers
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