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3 years ago

What property is this ? a + (b + c) = (a + b) + c

Mathematics

2 answers:

aev [14]3 years ago

4 0

Associative property

Anni [7]3 years ago

4 0

Answer:

Associative Property of Addition

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Find the distance between the two points in simplest radical form.<br> (-5,8) and (-3, 1)

elixir [45]

Given:

The two points are (-5,8) and (-3,1).

To find:

The distance between the given two points in simplest radical form.

Solution:

Distance formula: The distance between two points is

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Using distance formula, the distance between (-5,8) and (-3,1) is

$d=\sqrt{(-3-(-5))^2+(1-8)^2}$

$d=\sqrt{(-3+5)^2+(-7)^2}$

$d=\sqrt{(2)^2+(-7)^2}$

$d=\sqrt{4+49}$

$d=\sqrt{53}$

Therefore, the distance between two points (-5,8) and (-3,1) is $\sqrt{53}$ units.

3 0

3 years ago

-(x+3) = 2x-6 what is x

Makovka662 [10]

Answer:

x=1

Step-by-step explanation:

So, first you make sure to multiply the parenthesis by the negative so then it would be,

-x-3=2x-6

Then you add the -3 from the right to the other side

so, -x=2x-3

Then you want all the X variables to one side so you subtract the 2x to both sides.

so, -3x=-3

divide both by -3

x=1

7 0

3 years ago

In ΔVWX, the measure of ∠X=90°, WX = 8.3 feet, and XV = 2.5 feet. Find the measure of ∠W to the nearest tenth of a degree.

kiruha [24]

Answer:

16.76°

Step-by-step explanation:

In ΔVWX, the measure of ∠X=90°, WX = 8.3 feet, and XV = 2.5 feet.

We want to find the measure of <W.

We know side length that is adjacent and opposite to <W.

We can use the tangent ratio, to find the measure of <W.

The tangent ratio is opposite over hypotenuse.

$\tan(m \angle \: w) = \frac{2.5}{8.3}$

$\tan(m \angle \: w) = 0.301$

Take tangent inverse to get:

$m \angle \: w= { \tan}^{ - 1} (0.301)$

$m \angle \: w=16.76 \degree$

7 0

3 years ago

A bag of fruit contains 4 apples, 1 plum, 2 apricots, and 3 oranges. Pieces of fruit are drawn twice with replacement. What is P

bezimeni [28]

Since there is replacement, drawings are independent which means that the result of one of them does not affect the others.
Probability of drawing an apple is 4/10 (4 apple out of 10 fruits)
Probability of drawing an apricot is 2/10
Probability on one happening consecutively to the other (thanks to independence) is 4/10*2/10=8/100
Which can be simplified to 2/25

6 0

3 years ago

What is the surface area of a triangular prism

son4ous [18]

Answer:

"surface area" = bh+2ls+lb

Step-by-step explanation: where l=length, b=base, h=height as shown in the figure attached.

3 0

3 years ago