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3 years ago

Graph the liner equation -5x+2y=11

Mathematics

1 answer:

Nikitich [7]3 years ago

7 0

the first step is to convert it to slope formula. add the 5x, 2y=5x+11. Divide by 2, y=(5/2)x+(11/2). Then graph.

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Hat is the slope of a line perpendicular to y = -4x - 1

kobusy [5.1K]

Answer:

The slope of the perpendicular line would be 1/4.

Step-by-step explanation:

All perpendicular lines have opposite and reciprocal slopes. This means we take the current slope, change the sign and flip it.

-4 -----> change the sign

4 ------> Flip it

1/4 = slope

4 0

2 years ago

Help!!! I'm completely stuck on this! What is the GCF of 18 and 36

Lyrx [107]

The GCF Of 18 and 36 is 18

The factors of 18 are: 1, 2, 3, 6, 9, 18

The factors of 36 are: 1, 2, 3, 4, 6, 9, 12, 18, 36

Hope this helps you

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3 years ago

Which is best represent the area of a triangle of a height of x+7 and a base of 2x+12

Archy [21]

$\textit{area of a triangle}\\\\ A=\cfrac{1}{2}bh~~ \begin{cases} b=base\\ h=height\\[-0.5em] \hrulefill\\ h=x+7\\ b=2x+12 \end{cases}\implies A=\cfrac{1}{2}(2x+12)(x+7) \\\\\\ A=\cfrac{1}{2}\underset{\stackrel{\uparrow \qquad }{\textit{common factoring}}}{2(x+6)(x+7)}\implies A=(x+6)(x+7)\implies A=\stackrel{\mathbb{F~O~I~L}}{x^2+13x+42}$

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2 years ago

A garment dealer buys for Rs.10,000 and spend Rs.800 on freight. He seeks the entire stock for Rs.12,960. Find his loss/profit p

jeyben [28]

Answer:

Profit percentage $=20\%$ .

Step-by-step explanation:

Given: A garment dealer buys goods for $\text{Rs.}\:10,000$ and spend $\text{Rs.}\:800$ on freight. He seeks the entire stock for $\text{Rs.}\:12,960$ .

To find: His loss/profit percentage.

Solution:

We have,

Cost price of goods $=\text{Rs.}\:10,000$

Spent on freight $=\text{Rs.}\:800$

So, total cost of goods $=\text{Rs.}\:10000+\text{Rs.}\:800=\text{Rs.}\:10,800$

Selling price of entire stock $=\text{Rs.}\: 12,960.$

Now, Profit $=\text{Selling price}-\text{Cost price}$

So, Profit $=\text{Rs.}\:12, 960-\text{Rs.}\:10,800=\text{Rs.}\:2160$

Now,

$\text{Profit\:\%}= \frac{\text{Profit}}{\text{Cost price}} \times 100\%$

$\implies\text{Profit\:\%}= \frac{2160}{\text{10,800}} \times 100\%$

$\implies\text{Profit\:\%}= \frac{2160}{108}\%$

$\implies\text{Profit\:\%}= 20\%$

Hence, profit percentage $=20\%$ .

8 0

3 years ago

What is the midpoint of the coordinate F( -2, 4) and G(6, 1)

Marrrta [24]

Answer:

$\huge\boxed{\left(2; 2\dfrac{1}{2}\right)}$

Step-by-step explanation:

$\text{The formula of a midpoint:}\\\\M\left(\dfrac{x_1+x_2}{2};\ \dfrac{y_1+y_2}{2}\right)\\\\\text{We have the points}\ F(-2,\ 4),\ G(6,\ 1).\\\\\text{Substitute:}\\\\M_{FG}\left(\dfrac{-2+6}{2};\ \dfrac{4+1}{2}\right)\to M_{FG}\left(\dfrac{4}{2};\ \dfrac{5}{2}\right)\to M_{FG}\left(2; 2\dfrac{1}{2}\right)$

6 0

2 years ago