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Alisiya [41]
3 years ago
8

What is the value of the function f(x)=2x^2+3 when x=2?

Mathematics
2 answers:
Marina86 [1]3 years ago
7 0
The answer would be A because you would just plug in 2 everywhere where you see x

Gre4nikov [31]3 years ago
6 0
Your answer would be 11 because (2=x)*2=4 then multiply that by two and add 3 which gives you 11

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Prove that the triangle EDF is isosceles. Give reasons for your answer.
Gekata [30.6K]

Answer:

\triangle EDF is isosceles.

Step-by-step explanation:

Please have a look at the attached figure.

We are <u>given</u> the following things:

\angle EDF = y

\text{External }\angle DFG = 90 +\dfrac{y}{2}

Let us try to find out \angle E and \angle DFE. After that we will compare them.

<u>Finding </u>\angle DFE<u>:</u>

Side EG is a straight line so \angle GFE = 180

\angle GFE is sum of internal \angle DFE and external \angle DFG

\angle GFE = 180 = \angle DFE  + \angle DFG\\\Rightarrow 180 = \angle DFE + (90+\dfrac{y}{2})\\\Rightarrow \angle DFE = 180 - 90 - \dfrac{y}{2}\\\Rightarrow \angle DFE = 90 - \dfrac{y}{2} ....... (1)

<u>Finding </u>\angle E<u>:</u>

<u>Property of external angle:</u> External angle in a triangle is equal to the sum of two opposite internal angles of a triangle.

i.e. external \angle DFG = \angle E + \angle EDF

\Rightarrow 90+\dfrac{y}{2} = \angle E + y\\\Rightarrow \angle E = 90+\dfrac{y}{2}  -y\\\Rightarrow \angle E = 90-\dfrac{y}{2} ....... (2)

Comparing equations (1) and (2):

It can be clearly seen that:

\angle DFE = \angle E =90-\dfrac{y}{2}

The two angles of \triangle EDF are equal hence \triangle EDF is isosceles.

8 0
3 years ago
Wich expression can be used to find the slope of a line containing the points (-3,2) and (7,-1)
docker41 [41]
A(x_1;\ y_1);\ B(x_2;\ y_2)\\\\\text{The slope:}\ m=\dfrac{y_2-y_1}{x_2-x_1}


\text{We have:}\\(-3;\ 2)\to\ x_1=-3;\ y_1=2\\(7;\ -1)\to x_2=7;\ y_2=-1

\text{substitute}\\\\m=\dfrac{-1-2}{7-(-3)}=\dfrac{-3}{10}=-\dfrac{3}{10}
6 0
3 years ago
Make the following conversion. 4mm = _____ cm 0.04 0.4 40 400
eimsori [14]

Answer:

10 mm = 1 cm

4 mm = 4/10 cm

=0.4 cm

hope it helps

6 0
3 years ago
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tamaranim1 [39]

Answer:

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Step-by-step explanation:

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2 years ago
Divide. use base-ten blocks. 72÷5
Sveta_85 [38]

Answer:

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Step-by-step explanation:


6 0
3 years ago
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