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prohojiy [21]
4 years ago
5

I'm in algebra 1 please help i'm so lost

Mathematics
1 answer:
9966 [12]4 years ago
6 0

<span><span>3+<span>xx</span></span>=19 </span>

<span /><span><span><span>x2</span>+3</span>=19 </span>

<span /><span>x2+3−3=<span>19 </span></span>

<span><span>−3</span></span><span><span><span><span><span>x2</span>=16</span></span></span></span>

<span><span><span><span /><span>x=<span>±<span>√16</span></span></span></span></span></span>

<span><span><span><span><span><span /></span></span></span></span></span>x = <span><span><span><span>4‌</span>‌ or </span>‌</span>‌x </span>= <span>−<span>4</span></span>

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Isosceles right triangle ABC has a hypotenuse, AB, with a length of 18 feet.
kiruha [24]

we know that

if ABC is an isosceles right triangle

then

side AC=side BC

angle A=angle B=45 degrees

cos B=adjacent side angle B/hypotenuse

adjacent side angle B=BC

hypotenuse=AB------> 18 ft

angle B=45 degrees

cos 45°=(√2)/2

so

cos 45°=BC/AB-------> solve for BC

BC=AB*cos 45-------> BC=18*(√2)/2------> BC=9√2 ft

AC=BC--------> AC=9√2 ft

the answer part 1) is

the exact lengths of the two sides, AC and BC is

AC=9√2 ft

BC=9√2 ft

Part b) Find the Area of triangle ABC

Area=b*h/2-------> AC*BC/2-----> (9√2)*(9√2)/2--------> 81 ft²

the answer part b) is

the area of triangle ABC is equal to 81 ft²

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3 years ago
Elimination method<br> 4x-2y=48<br> 2x+6y=-18
yulyashka [42]
4x-2y=48\\ \\ 2x+6y=-18

First we'll multiply the second equation by -2


-2\cdot (2x+6y)=-2\cdot -18\\ \\ -4x-12y=36

Now let's add the new equation and the first one.

(4x-2y)+(-4x-12y)=48+36\\ \\ 4x-4x-2y-12y=48+36\\ \\ -14y=84\\ \\ y=\frac { 84 }{ -14 } \\ \\ y=-6

We found y's value. We'll plug it in one of the equations to find x's value.

y=-6\\ \\ 4x-2y=48\\ \\ 4x-2\cdot -6=48\\ \\ 4x+12=48\\ \\ 4x=48-12\\ \\ 4x=36\\ \\ x=\frac { 36 }{ 4 } \\ \\ x=9

Solution ;

(9, -6)


4 0
3 years ago
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