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3 years ago

7

^^use photo to see question^ Please answer with explanation ASAP!

1 answer:

svlad2 [7]3 years ago

3 0

Answer:

Step-by-step explanation:

the first one

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4 years ago

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Solve for n.<br><br> −56n=40<br><br><br><br><br> n=−56<br><br> n=−48<br><br> n = 48<br><br> n = 56

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Step-by-step explanation:

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Two ropes, AD and BD, are tied to a peg on the ground at point D. The other ends of the ropes are tied to points A and B on a fl

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Answer: 5(√3-1) unit.

Step-by-step explanation:

Since, By the below diagram,

For triangle BDC,

We can write,

$tan 30^{\circ}=\frac{BC}{DC}$

⇒ $\frac{1}{\sqrt{3}}=\frac{BC}{5\sqrt{3}}}$

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⇒ $BC=\frac{5\sqrt{3} }{\sqrt{3} }$

⇒ $BC=5\text{ unit}$

Now, In triangle ADC,

$tan45^{\circ}=\frac{AC}{DC}$

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8 0

3 years ago

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Asap answer pls-----------

marissa [1.9K]

Answer:

$y=\frac{4}{5}x-\frac{18}{5}$

Step-by-step explanation:

Hi there!

Linear equations are typically organized in slope-intercept form: $y=mx+b$ where m is the slope and b is the y-intercept (the value of y when x is 0).

<u>1) Determine the slope (m)</u>

$m=\frac{y_2-y_1}{x_2-x_1}$ where two points on the line are $(x_1,y_1)$ and $(x_2,y_2)$

In the graph, the points (-3,-6) and (2,-2) are plotted clearly, so we can use these to help us find the slope. Plug them into the equation:

$m=\frac{-6-(-2)}{-3-2}\\m=\frac{-6+2}{-3-2}\\m=\frac{-4}{-5}\\m=\frac{4}{5}$

Therefore, the slope of the line is $\frac{4}{5}$ . Plug this into $y=mx+b$ :

$y=\frac{4}{5}x+b$

<u>2) Determine the y-intercept (b)</u>

$y=\frac{4}{5}x+b$

Typically, given a graph, we could look at where exactly the line crosses the y-axis to determine b. However, because it appears ambiguous on this graph, we must solve it algebraically.

Plug in one of the given points (2,-2) and solve for b:

$-2=\frac{4}{5}(2)+b\\-2=\frac{8}{5}+b$

Subtract $\frac{8}{5}$ from both sides to isolate b

$-2-\frac{8}{5}=\frac{8}{5}+b-\frac{8}{5}\\-\frac{18}{5} =b$

Therefore, the y-intercept of the line is $-\frac{18}{5}$ . Plug this back into $y=\frac{4}{5}x+b$ :

$y=\frac{4}{5}x+(-\frac{18}{5})\\y=\frac{4}{5}x-\frac{18}{5}$

I hope this helps!

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