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2 years ago

Solve the following equation for the variable a.

Mathematics

1 answer:

Mashcka [7]2 years ago

8 0

Answer:

Step-by-step explanation:

Just take b in another side by neg-

and divide by 2 , that's it.

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Find the slope of the line.<br> 1.<br> (5, 3)<br> (-5, 1)

Blizzard [7]

Answer:

1/5

Step-by-step explanation:

y1-y2/x1-y2 = (3-1)/5-(-5)

8 0

2 years ago

Problem PageQuestion A Web music store offers two versions of a popular song. The size of the standard version is 2.6 megabytes

dalvyx [7]

Answer:

There were 210 downloads of the standard version.

Step-by-step explanation:

This question can be solved using a system of equations.

I am going to say that:

x is the number of downloads of the standard version.

y is the number of downloads of the high-quality version.

The size of the standard version is 2.6 megabytes (MB). The size of the high-quality version is 4.2 MB. The total size downloaded for the two versions was 4074 MB.

This means that:

$2.6x + 4.2y = 4074$

Yesterday, the high-quality version was downloaded four times as often as the standard version.

This means that $y = 4x$

How many downloads of the standard version were there?

This is x.

$2.6x + 4.2y = 4074$

Since $y = 4x$

$2.6x + 4.2*4x = 4074$

$19.4x = 4074$

$x = \frac{4074}{19.4}$

$x = 210$

There were 210 downloads of the standard version.

8 0

3 years ago

Given that p=9i+12j and q=-6i-8j. Evaluate |p-q|-{|p|-|q|}

krok68 [10]

Answer:

$|p-q|-(|p|-|q|) = 20$

Step-by-step explanation:

First let's find the value of 'p-q':

$p - q = 9i + 12j - (-6i - 8j)\\p - q = 9i + 12j + 6i + 8j\\p - q = 15i + 20j\\$

To find |p-q| (module of 'p-q'), we can use the formula:

$|ai + bj| = \sqrt{a^{2}+b^{2}}$

Where 'a' is the coefficient of 'i' and 'b' is the coefficient of 'j'

So we have:

$|p - q| = |15i + 20j| = \sqrt{15^{2}+20^{2}} = 25$

Now, we need to find the module of p and the module of q: $|p| = |9i + 12j| = \sqrt{9^{2}+12^{2}} = 15$

$|q| = |-6i - 8j| = \sqrt{(-6)^{2}+(-8)^{2}} = 10$

Then, evaluating |p-q|-{|p|-|q|}, we have:

$|p-q|-(|p|-|q|) = 25 - (15 - 10) = 25 - 5 = 20$

7 0

2 years ago

Find the area of a triangle whose height is 2xand base is 2x+2

Charra [1.4K]

I hope this helps you

4 0

2 years ago

Nimisha wants to draw a wheel like the one shown. Each shaded part of the wheel should be one-third of each unshaded part. What

ivolga24 [154]

Answer:

Each shade has a 22.5 degree angle from the middle

Each unshaded has a 67.5 degree angle from the middle.

Step-by-step explanation:

You can solve this by making each unshaded part equal to x and each shaded part equal 1/3x it is a circle so it has to equal 360 so you end up with:

x + 1/3x + x + 1/3x + x + 1/3x + x + 1/3x = 360

Combine Like terms:

16/3x = 360

Multiply both sides by the opposite:

(3/16) (16/3x) = (360) (3/16)

x=135/2 or x=67.5

Then you can plug 67.5 in for x:

1/3x ---> 1/3(67.5) = 22.5

3 0

3 years ago