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3 years ago

What decimal number does point A on the number line below represent?

Mathematics

2 answers:

mafiozo [28]3 years ago

8 0

The answer is
-1.25
Because the next two lines down would be
-1.50
-1.75
Then
-2.0

rusak2 [61]3 years ago

5 0

I have a similar question... the dot on the number line is 2 spots below the one in this picture. and the answer choices are...

0.25

−0.25

1.75

−1.75

Thank you so much! Here is the pic...

Sorry I couldn't get it!

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What is the area of a triangle ABC with AB=AC=5cm and BC=6cm?

Vika [28.1K]

Answer: 12 cm^2

Step-by-step explanation:

BC ==> Base of triangle

Divide the triangle in two parts:

BC/2=BC'

6/2=BC'

BC'=3

Distance formula: a^2+b^2=c^2

c^2-a^2=b^2

5^2-3^2=b^2

25-9=b^2

b^2=16

b=4 ==> height of triangle

Area of triangle=A. b=base. h=height

A=1/2 * b * h=

A=1/2 * 6 * 4

A=1/2 * 24

A=12 cm^2

8 0

1 year ago

Factor this expression completely and then place the factors in the proper location. Note: Place factors alphabetically!

Usimov [2.4K]

To solve this problem you must apply the proccedure shown below:

1. You have the following expression given in the problem above:

$mn - 4m - 5n + 20$

2. The first thing you must do to factor the expression is to group the terms, as following:

$(mn-4m)+(-5n+20)$

3. Now, choose the greatest common factor of each group:

$m(n-4)-5(n-4)$

4. Now, you need to factor the expression by factoring out the $n-4$

$(m-5)(n-4)$

The answer is: $(m-5)(n-4)$

5 0

3 years ago

Rationalize the denominator of square root of negative 16 over open parentheses 1 plus i close parentheses plus open parentheses

emmasim [6.3K]

$\bf \cfrac{\sqrt{-16}}{(1+i)+(6+3i)}\implies \cfrac{\sqrt{-1\cdot 16}}{1+i+6+3i}\implies \cfrac{\sqrt{-1}\cdot \sqrt{16}}{7+4i}
\\\\\\
\cfrac{i\cdot \sqrt{4^2}}{7+4i}\implies \cfrac{4i}{7+4i}\impliedby 
\begin{array}{llll}
\textit{now, we'll multiply by the}\\
\textit{conjugate of the denominator}
\end{array}\\\\
-------------------------------\\\\$

$\bf \textit{and recall }\textit{difference of squares}
\\ \quad \\
(a-b)(a+b) = a^2-b^2\qquad \qquad 
a^2-b^2 = (a-b)(a+b)\\\\
\textit{also recall that }i^2=-1
\\\\
-------------------------------\\\\$

$\bf \cfrac{4i}{7+4i}\cdot \cfrac{7-4i}{7-4i}\implies \cfrac{4i(7-4i)}{(7+4i)(7-4i)}\implies \cfrac{28i-16i^2}{7^2-(4i)^2}
\\\\\\
\cfrac{28i-16(-1)}{49-(4^2i^2)}\implies \cfrac{28i+16}{49-[16(-1)]}\implies \cfrac{16+28i}{49+16}\implies \cfrac{16+28i}{65}
\\\\\\
\cfrac{16}{65}+\cfrac{28i}{65}$

5 0

4 years ago

What is the equation of the graphed line written in standard form? 2x – y = –4 2x – y = 4 y = 2x – 4 y equals StartFraction one-

svp [43]

Answer:

The answer is "2x-y=4"

Step-by-step explanation:

Given:

$2x-y=-4\\2x-y=4\\y=2x-4\\y=\frac{1}{2}(x-4)\\$