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Marrrta [24]
3 years ago
8

What is the result when (2x+2)^2 is subtracted from 1

Mathematics
1 answer:
geniusboy [140]3 years ago
4 0

Answer:

- 4x² - 8x - 3

Step-by-step explanation:

We want to calculate

1 - (2x + 2)² ← expand using FOIL

= 1 - (4x² + 8x + 4) ← distribute parenthesis by - 1

= 1 - 4x² - 8x - 4 ← collect like terms

= - 4x² - 8x - 3

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Kite if u picture a kite it’s that shape none of the others would look like that shape
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3 years ago
Find the missing side lengths​
AURORKA [14]

Answer:

X = 18

Y = 9√3

Step-by-step explanation:

use sin equation for right angle triangle

The sine of the angle

= ( the length of the opposite side ÷ the length of the hypotenuse.)

according to this question,

sin 30 = 9 / X

1/2 = 9 / X

X = 18

use cosine to find y

The cosine of the angle

= (the length of the adjacent side ÷ the length of the hypotenuse.)

cos 30 = y/x

√3/2 = y/ 18

y = 9 ✓3

5 0
3 years ago
A 10-foot ladder leans against a wall with its foot braced 3 feet from wall's base. How far up the wall does the ladder reach?
dlinn [17]
Pythagorean theorem
for a right triangle with legs legnth a and b and hytponuse c
a^2+b^2=c^2

the legnht of th eladder is the hypotnuse
the 3 feet is bottom leg
height is other leg

10=c
3=a
b=?
3^2+b^2=10^2
9+b^2=100
minus 9 both sides
b^2=91
sqrt both sides
b=√91
aprox
b=9.53939


answer is √91 feet or aprox 9.53939
8 0
3 years ago
Match the reasons with the statements. GIVEN: x2 + 6x + 2x + 12 = 0 TO PROVE: x = -6 or x = -2 1. x2 + 6x + 2x + 12 = 0 Subtract
mestny [16]

Given: x^2 + 6x + 2x + 12 = 0.

1. Combining like terms (here terms 6x and 2x both contain x, then we can combine them):

x^2+(6x+2x)+12=0,\\\\x^2+8x+12=0.

2. Distributive postulate:

x^2+8x+12=(x+6)(x+2).

The equation is

(x+6)(x+2)=0.

3. Zero product postulate (zero product postulate state that if a product of two factors is equal to zero, then first factor is equal to zero or second factor is equal to zero):

x+6=0 \text{ or } x+2=0.

4. Subtraction property of equality:

a) subtract 6 from the first equation:

x+6=0\Rightarrow x+6-6=-6, \ x=-6.

b) subtract 2 from the second equation:

x+2=0\Rightarrow x+2-2=-2, \ x=-2.

6 0
3 years ago
Read 2 more answers
Please help me! I'm taking a test that closes in 10 minutes!
Ilia_Sergeevich [38]

Answers:

1) 7i

2) 2i\sqrt{5}

3) -1+3i

4) 65+72i

5) 60\sqrt{6}

<em>Hope this helps!</em> :)

3 0
3 years ago
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