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dangina [55]
3 years ago
7

Please help math

Mathematics
2 answers:
Naddika [18.5K]3 years ago
8 0
   
\displaystyle\\
15(2a - 2) = 5(a^2 -1) \\  \\ 
30a - 30 = 5a^2-5\\\\
-5a^2 + 30a -30 + 5 =0\\\\
-5a^2 + 30a -25 =0 ~~~~~\Big| \times (-1) \\\\
5a^2 - 30a +25 = 0~~~~~\Big| : 5 \\\\
a^2 - 6a +5 = 0 \\  \\ 
a_{12}= \frac{-b\pm \sqrt{b^2-4ac}}{2a}= \frac{6\pm \sqrt{36-20}}{2}= \frac{6\pm \sqrt{16}}{2}=\frac{6\pm 4}{2}= \boxed{3\pm 2} \\  \\ 
a_1 = 3+ 2 = \boxed{5}\\\\
a_2 = 3-2 = \boxed{1}



ELEN [110]3 years ago
7 0

Answer:

c

Step-by-step explanation:

i took the test

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Answer:

  • Quadrant I.

Step-by-step explanation:

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<u>Quadrant II examples:</u>

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<u>Quadrant III examples:</u>

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<u>Quadrant IV examples:</u>

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natka813 [3]

Answer:

3. The equivalent fractions are presented as follows;

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4.  The equivalent fractions are presented as follows;

\dfrac{2}{3} = \dfrac{4 \times 2}{4 \times 3} =\dfrac{8}{12}

5. The reason why it works is because \dfrac{1}{8}  + \dfrac{1}{8}   =  \dfrac{1}{4}

Step-by-step explanation:

3. Based on the shaded region of the given figures, the two fractions are equivalent

Mathematically, we can show the equivalency of the two fractions as follows;

\dfrac{2}{3} =\dfrac{2}{3} \times 1 = \dfrac{2}{3} \times \dfrac{2}{2} = \dfrac{2 \times 2}{3 \times 2} =\dfrac{4}{6}

Therefore;

\dfrac{2}{3}  =  \dfrac{2 \times 2}{3 \times 2} =\dfrac{4}{6}

4. From the shaded region of the given figure, the fractions are equivalent

Mathematically, we have;

\dfrac{2}{3} =\dfrac{2}{3} \times 1 = \dfrac{4}{4} \times \dfrac{2}{3} = \dfrac{4 \times 2}{4 \times 3} =\dfrac{8}{12}

Therefore;

\dfrac{2}{3} = \dfrac{4 \times 2}{4 \times 3} =\dfrac{8}{12}

5. The amount of salt required by the recipe = 1/4 teaspoon of salt

The measure of the spoon Jonas has = 1/8 teaspoon

When Jonas adds two 1/8 teaspoons, he gets;

\dfrac{1}{8}  + \dfrac{1}{8}  = \dfrac{1 + 1}{8}  = \dfrac{2}{8}  = \dfrac{2 \times 1}{2 \times 4}  =  \dfrac{2}{2} \times \dfrac{1}{4}  = 1 \times \dfrac{1}{4} =  \dfrac{1}{4}

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