Use the distributive property of multiplication to evaluate: 2(3 - 1) =

Mathematics

1 answer:

kvasek [131]3 years ago

7 0

Answer:

hopefully this helps

Step-by-step explanation:

(2x6-2×1)

12-2=10

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-3x-12>8x+21 please help 30 points!!!!!!!!!!!!!!

hram777 [196]

-3x-12> 8x + 21
+12 +12
-3x > 8x + 33
-8x -8x

-11x > 33
————-
-11

x < -3

I moved the real numbers to one side and and the variable to the other side to solve for the inequality

I also remembered somewhere that if you divide by a negative number the inequality sign switches.

6 0

3 years ago

Can someone help me on this Proofs problems? It's just number one and two.

leonid [27]

See Explanation

Step-by-step explanation:

1. By interior angle sum Postulate of a triangle.

$m\angle a+ m\angle y +m\angle z= 180\degree.... (1)\\\\m\angle a+ m\angle w +m\angle x= 180\degree.... (2)\\\\$

From equations (1) & (2), we find:

$m\angle a+ m\angle y +m\angle z= m\angle a+ m\angle w +m\angle x\\\\m\angle y +m\angle z= m\angle w +m\angle x\\$

Hence proved

2. In $\triangle PQS, \: \angle QSR$ is exterior angle.

Therefore, by remote interior angle theorem, we have:

$m\angle QPS + m\angle PQS= m\angle QSR\\\\x + m\angle PQS= 2x\\\\m\angle PQS= 2x-x\\\\m\angle PQS = x.... (1)\\\\m\angle QPS = x.... (given).... (2)\\$

From equations (1) & (2), we find:

$m\angle PQS = m\angle QPS\\\\\therefore \angle PQS \cong \angle QPS\\\\\therefore PS \cong QS\\(sides\: opposite \: to\: congruent \:\angle s) \\\\$

$\therefore \triangle PQS$ is an isosceles triangle.

Thus proved.

3 0

3 years ago

If x^2=20 what is the value of x will give brainliest for answer

Schach [20]

Answer:

x² - 20 = 0

Using the quadratic formula

$x = \frac{ - b± \sqrt{( {b})^{2} - 4ac } }{2a}$

a = 1 b = 0 c = -20

So we have

$x = \frac{ - 0 ± \sqrt{ {0}^{2} - 4(1)( -20)} }{2(1)} \\ \\ x = \frac{± \sqrt{80} }{2} \\ \\ x = \frac{±4 \sqrt{5} }{2} \\ \\ \\ x = ±2 \sqrt{5} \\ \\ \\ x = 2 \sqrt{5} \: \: \: or \: \: \: x = - 2 \sqrt{5}$