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disa [49]
3 years ago
10

What is the equation in point-slope form of the line that passes through the point (-5, 6) and has a slope of 2/3

Mathematics
1 answer:
Aleks [24]3 years ago
7 0

Answer:

<h2>         y - 6 = ²/₃(x + 5) </h2>

Step-by-step explanation:

The point-slope form of the equation of a line: y - y₁ = m(x - x₁), where m is the slope and (x₁, y₁) is the point the line passing through.

m = ²/₃

(-5, 6)    ⇒    x₁ = -5,  y₁ = 6

So the point-slope form of the equation:

                                                                   y - 6 = ²/₃(x - (-5))      

                                                           or:    y - 6 = ²/₃(x + 5)

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The pair of square pyramids are similar. Use the given information to find the scale factor of the smaller square pyramid to the
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\bf \cfrac{\textit{similar shape}}{\textit{similar shape}}\qquad \cfrac{s}{s}=\cfrac{\sqrt{s^2}}{\sqrt{s^2}}=\cfrac{\sqrt[3]{s^3}}{\sqrt[3]{s^3}}\\\\&#10;-------------------------------\\\\&#10;\stackrel{\stackrel{pyramids}{scale~factor}}{\cfrac{small}{large}}\qquad \qquad \cfrac{s}{s}=\cfrac{\sqrt[3]{64}}{\sqrt[3]{343}}\implies \cfrac{s}{s}=\cfrac{4}{7}\implies 4:7
8 0
3 years ago
If anyone could solve this question for me while showing the steps. It would be GREATLY appreciated
Blizzard [7]

this is a very annoying problem, with lots of steps. it is on a next level of dragging on and on

Step-by-step explanation:

You can split this into different shapes. A triangle, a rectangle, and a void of a quarter circle. The total area is rectangle+triangle-quarter circle.

We find the second side of the triangle by doing 65-48=17

We then use the pythagorean theorem to find the third length. This is about 49.1426.

We can then use whatever method you'd like for finding the area of the triangle. it turns out to be about 417.7125

Next, we find the rectangle, easy enough, 49.1426*48=2358.8448

which seems a bit scuffed until you realize that the diagram itself is scuffed as well. Great, quarter circle next

16*16*pi/4=201.0619

Alright, now to combine it to find the area.

417.7125+2358.8448-201.0619=2575.4954

great, now let's find the perimeter, simple enough. Curved perimeter+straight perimeter-that one corner in the bottom right

52+48+49.1426+65-32+25.1327=207.2753

and now we convert to meters

207.2753feet=63.1775meters

We are almost done! Now let's find the cost.

Fencing first:

63.1775*8.50=537.01

Then the cement

2575.4954*5.50=14165.2247

Then we add it up and apply tax:

537.01+14165.2247=14702.2347

14702.23*1.13=$<u><em>16613.53</em></u>

if you find anything wrong message me, I may have made errors because its 10pm and i need sleep. I recommend you work through my steps on your own as well. There might be complications with rounding as well, so yea. Hope this helps!

3 0
2 years ago
What is 7 - (-4) ? I got -24
koban [17]

Answer:

11

Step-by-step explanation:

7-(-4) is 11. You must make the subtraction symbol in the middle to addition, since you have 2 negatives. Two negatives = postive. So after you do that it would be 7+4=11

Hope this helped!

6 0
3 years ago
4. Celina babysat for 5 hours and earned $27. what's her pay per hour?​
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Celina earns $5.4 per hour.
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3 years ago
Did you sleep with a comfort object as a child? Do you still? No need to stuff that teddy bear from your infant years in your cl
dlinn [17]

Answer:

55

Step-by-step explanation:

5 0
3 years ago
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