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2 years ago

∣x−2∣=∣4+x∣solve for x

Mathematics

2 answers:

Darya [45]2 years ago

6 0

Answer:

-1

Step-by-step explanation:

hodyreva [135]2 years ago

5 0

Answer:

x= 2+2 $\sqrt{2}$ , 2-2 $\sqrt{2}$ ,2

Step-by-step explanation:

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A youth group is setting up camp. Rain is predicted, so the campers decide to build a fly, or rain cover, over their tent. The f

pshichka [43]

The image for this is attached for reference. This problem can be used by the Pythagorean equation. To make solving convenient, let us see only one part of the tent. Hence, one side is half of the tend width which is 16/2ft. Height is 12 ft. The unknown side is the hypotenuse. The answer is:
$a^{2} + b^{2} = c^{2} 8^{2} + 12^{2} = c^{2} c = 14.4$

7 0

2 years ago

System of Equations Need help Trig

Yanka [14]

Looks like the system is

$\begin{cases}-2x+y+6z=1\\3x+2y+5z=16\\7x+3y-4z=11\end{cases}$

We can eliminate $y$ by taking

$(3x+2y+5z)-2(-2x+y+6z)=16-2(1)$

$\implies3x+2y+5z+4x-2y-12z=16-2$

$\implies7x-7z=14$

$\implies x-z=2$

so that $z=x-2$ , and

$(7x+3y-4z)-3(-2x+y+6z)=11-3(1)$

$\implies7x+3y-4z+6x-3y-18z=11-3$

$\implies13x-22z=8$

Substitute $z=x-2$ into this last equation and solve for $x$ :

$13x-22(x-2)=8$

$\implies13x-22x+44=8$

$\implies-9x=-36$

$\implies x=4$

Then

$z=x-2$

$\implies z=4-2$

$\implies z=2$

Plug these values into any one of the original equation to solve for $y$ :

$-2x+y+6z=1$

$\implies-2(4)+y+6(2)=1$

$\implies-8+y+12=1$

$\implies y=-3$

Hence the solution is x = 4, y = -3, and z = 2.

6 0

3 years ago

A triangle has side lengths of (7x-4)(7x−4) centimeters, (x+3)(x+3) centimeters, and (3y+2)(3y+2) centimeters. Which expression

Papessa [141]

Answer:

This assumes that the question was meant to read:

"A triangle has side lengths of (7x−4) centimeters, (x+3) centimeters, and (3x+2) centimeters." And not "A triangle has side lengths of (7x-4)(7x−4) centimeters, (x+3)(x+3) centimeters, and (3y+2)(3y+2) centimeters."

If the revision is correct, the perimeter is 11x + 1 cm

=============================================

If the question was correctly written, then answer is:

50x^2 - 50x + 9y^2 + 12 y + 29

===============

Step-by-step explanation:

(7x-4) cm

+ (x+3) cm

+ (3x+2) cm

11x + 1 cm

If the question was correctly written as is, then:

(7x-4)(7x−4) = 49x^2 - 56x + 16

+(x+3)(x+3) = + x^2 + 6x + 9

+(3y+2)(3y+2) = +9y^2 + 12 y + 4

50x^2 - 50x + 9y^2 + 12 y + 29 cm

8 0

2 years ago

The art teacher had 1,321 pipe cleaners for a project. She used 477 with the entire fourth grade. A parent donated 2,600 pipe cl

larisa86 [58]

Answer:

3,444

Step-by-step explanation:

The art teacher had 1321 pipe cleaners for a project

She used 477 with the fourth age

A parent donated 2,600 pipe cleaners

Therefore the number of pipe cleaners she have left can be calculated as follows

= 1321-477+2600

= 844 + 2600

= 3,444

4 0

2 years ago

Simplify the expression -3 (b-7)

Nataliya [291]

Simply distribute the -3 across the b and -7.

-3(b - 7) = (-3 * b) + (-3 * -7) = -3b + 21

Hope this was helpful, if it wasn't just drop me a DM explaining what didn't make sense.

5 0

2 years ago