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spayn [35]
3 years ago
5

Slope of a line (-1,0),(1,0)

Mathematics
1 answer:
gavmur [86]3 years ago
4 0
\text{Slope } = \frac{ y_2 - y_1 } { x_2 - x_1 } \\  \\  \frac{0  - 0}{ 1 - -1} \\\\  \frac{0  +  0 }{ 1 +  1} \\\\  \frac{0}{ 2}\\\\\boxed{\bf{0}}

The slope is 0.
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Answer: Her measuring cup has 8.25 mL of medicine.

Step-by-step explanation:

As per given,

In 11 mL of medicine, there are 20 drops.

That means quantity in 1 drop = \dfrac{11}{20} mL

Now , the quantity in 15 drops = 15 x quantity in 1 drop

= 15\times\dfrac{11}{20}

=\dfrac{33}{4}

= 8.25 mL

Hence, her measuring cup has 8.25 mL of medicine.

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<u>Solution</u><u>:</u>

\sqrt{4x + 13}  = x + 2

  • First square both sides.

=  > ( \sqrt{4x + 13} ) ^{2}  = (x + 2) ^{2}

  • Now, square root and square gets cancel out in the LHS. And in the RHS, apply the identity: (a + b)² = a² + 2ab + b².

=  > 4x + 13 =  {(x)}^{2}  + 2 \times x \times 2 + (2) ^{2} \\  =  > 4x + 13 =  {x}^{2}   + 4x + 4

  • Now, transpose 4x and 4 to LHS.

=  > 4x - 4x + 13 - 4 =  {x}^{2}  \\

  • Now, do the addition and subtraction.

=  >  {x}^{2}  = 9 \\  =  >  x =  \sqrt{9}  \\  =  > x = ±3

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

<u>x </u><u>=</u><u> </u><u>±</u><u> </u><u>3</u>

Hope you could understand.

If you have any query, feel free to ask.

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