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kirill115 [55]
1 year ago
11

Find the vertex of the given function.

Mathematics
1 answer:
IRISSAK [1]1 year ago
4 0

<em>The </em><em>vertex of the function is at (5, 10)</em>

<em>For the function, th</em><em>e domain exists </em><em>on all </em><em>real numbers</em><em> while the range exist for the value</em><em> f(x) ≥ 10</em>

<h3>Vertex, domain and range of a function</h3>

The vertex of a quadratic or linear function is in the form

y =  a(x – h)^2 + k

where;

(h, k) is the vertex of the function

Given the function expressed as;

f(x) = |x-5| + 10

On comparison, you can see that h = 5 and k =10, hence the vertex of the function is at (5, 10)

<u>For the domain and range</u>

Domain are the dependent variable for which a function exist while the range is the independent variable for which a function exist.

For the function, the domain exists on all real numbers while the range exist for the value f(x) ≥ 10

Learn more on vertex, domain and range here: brainly.com/question/544653

#SPJ1

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Elina [12.6K]

Answer:

right

neither

straight

neither

Step-by-step explanation:

The first angle is a right angle.  The box in the corner indicates a 90 degree angle

The second angle is less than 90 degrees so it is an acute angle

The third angle is a straight line so it is a straight angle.

The fourth angle is wider than 90 degrees  it is an obtuse angle

4 0
3 years ago
Find the volume of the garden shed
Leno4ka [110]

Answer:

47.3 m³

Step-by-step explanation:

The garden shed is made up of a rectangular prism and a pyramid.

<h3><u>Volume of a rectangular prism</u></h3>

\begin{aligned}\textsf{Volume of a rectangular prism}&=\sf width \times length \times height\\&=4 \times 4 \times 2\\&=16 \times 2\\&=32\;\; \sf m^3\end{aligned}

<h3><u>Volume of a pyramid</u></h3>

<u />

From inspection of the given diagram, the slant height of the pyramid is 3.5 m.  

Calculate the perpendicular height of the pyramid using Pythagoras Theorem:

\begin{aligned}\implies a^2+b^2&=c^2\\2^2+h^2&=3.5^2\\h^2&=8.25\\h&=\sqrt{8.25}\;\; \sf m\end{aligned}

Therefore:

\begin{aligned}\textsf{Volume of a pyramid}&=\dfrac{\sf length \times width \times height}{3}\\\\&=\dfrac{\sf 4 \times 4 \times \sqrt{8.25}}{3}\\\\& = 15.31883372\;\; \sf m^3\end{aligned}

<h3><u>Volume of the garden shed</u></h3>

\begin{aligned}\implies \textsf{Volume of shed}&=\textsf{Volume of rectangular prism}+\textsf{Volume of pyramid}\\&=32+15.31883372\\& = 47.3\;\; \sf m^3\;(nearest\;tenth)\end{aligned}

6 0
1 year ago
Read 2 more answers
Os
algol [13]

Answer:

\boxed{\sf{4}}}

Step-by-step explanation:

Use a slope form.

<u>Slope:</u>

\sf{\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{rise}{run}  }

y₂ = (17)

y₁ = (1)

x₂ = (2)

x₁ = (-2)

Then, rewrite the problem.

Solve.

\sf{\dfrac{17-1}{2-(-2)}=\dfrac{16}{4}=\dfrac{16\div4}{4\div4}=\dfrac{4}{1}=\boxed{\sf{4}    }

Therefore, the slope is 4, which is our answer.

I hope this helps you! Let me know if my answer is wrong or not.

5 0
2 years ago
Need this one giving lots of points b/c im lazy and i have a headache
charle [14.2K]
B
1/4 = 8/3 * x
X = 8/12
X= 2/3
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3 years ago
I WILL GIVE BRAINLIEST JUST ANSWER (DUE TODAY AT 12:00am)
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