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AleksAgata [21]
3 years ago
9

Find the slope of the line through the points (0,2) and (5,-3)

Mathematics
2 answers:
andriy [413]3 years ago
8 0
Slope formula is y2-y1/x2-x1.

Using this, we can say that -3 – 2/5 – 0=

1.
Vlad [161]3 years ago
6 0

Answer:

the answer is -1 the formula is y2 -y1 /x2-x1

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Factor completely 20x3y + 30x2y2.
Alexxandr [17]
<span>10x2y(2x + 3y)

Each term has 10 in it. Plus each term has at least 2 x's and 1y. The parenthesis are what's left over. </span>
8 0
3 years ago
How to find when,<br>y=-1/3x - 3<br>​
Montano1993 [528]
The -3 would be where your line crosses the y-axis, so you would plot your point at -3. your slope will always be counted as rise/run, basically meaning you would count along the y-axis a certain amount of times, in this case -1, and along the x-axis a certain amount of times, here would be three. your next plot point would be (3,-4) and so on. hope this helped!
7 0
2 years ago
The illuminance of a surface varies inversely with the square of its distance from the light source.If the illuminance of a surf
VashaNatasha [74]

Answer:

Distance between the surface and source of light will be increased by 6 meters.

Step-by-step explanation:

The illuminance of a surface varies inversely with the square of ts distance from the light source.

Let illuminance of the surface = x lumens per square meter

and distance from a light source = y meter.

Now x ∝ \frac{1}{y^{2} }

Or x=\frac{k}{y^{2} } [k = proportionality constant]

Now we will find the value of k.

k = xy²

k = 120×(6)²

k = 4320

We have to calculate the distance of the source if illuminance of the surface is 30 lumens per square meter.

30=\frac{4320}{y^{2}}

y² = \frac{4320}{30}

y² = 144

y = √144 = 12 meters

So the source of the light will be shifted away from the surface = 12 - 6 = 6 meters.

6 0
3 years ago
Skye says that x^3 – a^3 = (x – a)(x^2 + ax + a^2) is a polynomial identity because when she substitutes 2 in for x and 3 in for
Nady [450]

Answer:  x^3 - a^3 = (x - a) (x^2 + ax + a^2) is an identity

Step-by-step explanation:

Verify the identity using trig rules.

5 0
2 years ago
Carly tried to solve an equation step by step.
jeyben [28]

Answer:

First step of the problem

Step-by-step explanation:

The mistake that Carly did while solving the equation was that she multiplied -4 with 10, when there was no reason to. If she had to, it would be if -4 was 1 over -4 and then to get rid of that should would multiplied that on both sides. Both in this case there was no reason to.

Besides that, the real way to solve the problem is by doing these steps.

1. Distribute property

-4(7j+2) = 10  => take -4 times 7j and -4 times POSITIVE 2

-28j-8= 10

You may be wondering why can't we add 7j and 2 together? Well it's because they aren't the same variable if 7j was just 7, then you could add 7 and 2 together. And if 2 was 2j, you would add 7j and 2j together. This type of process is called "combine like terms." It's when you add or subtract all the terms that are the same variable.

2. Get "j" on one side

-28j-8= 10

<u>      +8  +8 </u>

-28j= 18

With this we had to add 8 on both sides to get -28j on one side of the equation. This is how we ended up with -28j= 18

3. Get "j" all alone

<u>-28j= 18 </u>

    18

j= -28/18

or j= -14/9

Why did we divide 18? Well if you divide 18 on both sides, you have one side cancel out and the other side resulting in the coefficient with the variable divided by the number, this will cause "j" to be alone or have an answer.

The right answer for "j" is actually -14/9

I hope this help you understand, if not don't be afraid to ask questions or even comment. Hope you have a great day, bye! :D

8 0
3 years ago
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