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3 years ago

Find the missing factor. 7s^2 + + 13s + 6 = (7s + 6) )

Mathematics

1 answer:

Anton [14]3 years ago

5 0

Answer:

71s

Step-by-step explanation:

The question we have at hand is 7s² + ___ + 13s + 6² = (7s + 6)². We can expand the perfect equation " (7s + 6)² " in order to find our solution. A perfect square consists of 3 terms, and hence the term in the blanks must add to 13s to form another term.

Applying the perfect square formula : ( a + b )² = a² + 2ab + b², let's expand the expression,

(7s + 6)² = ( 7s )² + 2( 7s )( 6 ) + ( 6 )² = 7s² + 84s + 6²

84s - 13s = 71s, which fills in the blank provided.

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3 years ago

What is the Quotient of 1 and 2/3 divided by 2 and 3/5

Nostrana [21]

Answer:

25/39

Step-by-step explanation:

For division of mixed numbers, it often works well to first convert them to improper fractions. Then the division proceeds in the usual way: "invert and multiply", or "dot, swap."

$1\dfrac{2}{3}\div2\dfrac{3}{5}=\dfrac{5}{3}\div\dfrac{13}{5}=\dfrac{5}{3}\cdot\dfrac{5}{13}\\\\=\dfrac{5\cdot5}{3\cdot13}=\boxed{\dfrac{25}{39}}$

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<em>Additional comment</em>

Your graphing calculator can do this, too.

7 0

2 years ago

Find the slope of the line passing through the points (-6, 6) and (4. – 7).

postnew [5]

Answer:

$\displaystyle -\frac{13}{10}$

Step-by-step explanation:

To solve this problem, first you have to use the slope formula of $\displaystyle \frac{y_2-y_1}{x_2-x_1}$ .

y2= (-7)

y1=6

x2=4

x1(-6)

Solve.

$\displaystyle \frac{(-7)-6}{4-(-6)}=\frac{-13}{10}=\boxed{-\frac{13}{10}}$

Therefore, the correct answer is -13/10.

6 0

3 years ago

Read 2 more answers

Question:

snow_tiger [21]

Answer:

A (first picture)

Step-by-step explanation:

Based on the picture, the lines are both perpendicular and the red line splits AB into two equal parts (bisects it), so it must represent the perpendicular bisector of AB.

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2 years ago