2 years ago

If BE= 2x-3 and AC=3X+1 FIND AC

1 answer:

6 0

In a rectangle, the diagonals are equal. You need to set the two equal to each other. The line BE would be doubled to equal AC. Then solve:
2(2x-3)=3x+1
4x-6=3x+1
x=7
Now that you have x, you can find AC. Just plug it in.
3(7)+1
21+1
22
There you have it! AC=22

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If dave buys a sample of 70 nails and 6 are bad and 64 are good and he needs 2500 good nails how many nails should dave buy

dexar [7]

Answer:

$Dave\ should\ buy\ 2735\ nails.$

Step-by-step explanation:

$Number\ of\ nails=70\\\\Good\ nails=64\\\\percentage\ of\ good\ nails=\frac{good\ nails}{total\ nails}\times 100\\\\percentage\ of\ good\ nails=\frac{64}{70}\times 100\\\\percentage\ of\ good\ nails=91.42857\%\\\\Let\ for\ 2500\ good\ nails\ he\ has\ to\ buy\ x\ nails\\\\91.42857\%\ of\ x=2500\\\\\frac{91.42857}{100}\times x=2500\\\\x=\frac{2500}{0.9142857}=2734.375\\\\x\approx 2735$

5 0

3 years ago

Determine the radius and center of the circle with the following equation <br> x^2+y^2-12x+24y-10=6

PolarNik [594]

Answer:

Center: (6, -12)

Radius: 4

Step-by-step explanation:

<u>Complete the squares</u>

<u /> $x^2+y^2-12x+24y-10=6\\\\x^2-12x-10+y^2+24y=6\\\\x^2-12x-10+46+y^2+24y+144=6+46+144\\\\(x^2-12x+36)+(y^2+24y+144)=196\\\\(x-6)^2+(y+12)^2=196$

Comparing with the standard form equation $(x-h)^2+(y-k)^2=r^2$ , since $r^2=196$ , then the radius of the circle is $r=14$ . Also, the center of the circle would be $(h,k)\rightarrow(6,-12)$ .